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The R5N Distributed Hash Table
draft-schanzen-r5n-04

Document Type Active Internet-Draft (individual)
Authors Martin Schanzenbach , Christian Grothoff , Bernd Fix
Last updated 2024-02-17
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draft-schanzen-r5n-04
Independent Stream                                       M. Schanzenbach
Internet-Draft                                          Fraunhofer AISEC
Intended status: Informational                               C. Grothoff
Expires: 20 August 2024                            Berner Fachhochschule
                                                                  B. Fix
                                                             GNUnet e.V.
                                                        17 February 2024

                     The R5N Distributed Hash Table
                         draft-schanzen-r5n-04

Abstract

   This document contains the R^5N DHT technical specification.  R^5N is
   a secure distributed hash table (DHT) routing algorithm and data
   structure for decentralized applications.  It features an open peer-
   to-peer overlay routing mechanism which supports ad-hoc
   permissionless participation and support for topologies in
   restricted-route environments.  Optionally, the paths data takes
   through the overlay can be recorded, allowing decentralized
   applications to use the DHT to discover routes.

   This document defines the normative wire format of protocol messages,
   routing algorithms, cryptographic routines and security
   considerations for use by implementers.

   This specification was developed outside the IETF and does not have
   IETF consensus.  It is published here to guide implementation of R^5N
   and to ensure interoperability among implementations including the
   pre-existing GNUnet implementation.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.

   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on 20 August 2024.

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Copyright Notice

   Copyright (c) 2024 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents (https://trustee.ietf.org/
   license-info) in effect on the date of publication of this document.
   Please review these documents carefully, as they describe your rights
   and restrictions with respect to this document.  Code Components
   extracted from this document must include Revised BSD License text as
   described in Section 4.e of the Trust Legal Provisions and are
   provided without warranty as described in the Revised BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Requirements Notation . . . . . . . . . . . . . . . . . .   4
   2.  Terminology . . . . . . . . . . . . . . . . . . . . . . . . .   4
   3.  Motivation  . . . . . . . . . . . . . . . . . . . . . . . . .   5
     3.1.  Restricted-route topologies . . . . . . . . . . . . . . .   6
     3.2.  Key differences to RELOAD . . . . . . . . . . . . . . . .   6
   4.  Overview  . . . . . . . . . . . . . . . . . . . . . . . . . .   7
   5.  Underlay  . . . . . . . . . . . . . . . . . . . . . . . . . .   9
   6.  Routing . . . . . . . . . . . . . . . . . . . . . . . . . . .  11
     6.1.  Routing Table . . . . . . . . . . . . . . . . . . . . . .  11
     6.2.  Peer Discovery  . . . . . . . . . . . . . . . . . . . . .  12
     6.3.  Peer Bloom Filter . . . . . . . . . . . . . . . . . . . .  13
     6.4.  Routing Functions . . . . . . . . . . . . . . . . . . . .  14
     6.5.  Pending Table . . . . . . . . . . . . . . . . . . . . . .  15
   7.  Message Processing  . . . . . . . . . . . . . . . . . . . . .  16
     7.1.  Message components  . . . . . . . . . . . . . . . . . . .  16
       7.1.1.  Flags . . . . . . . . . . . . . . . . . . . . . . . .  17
       7.1.2.  Path Element  . . . . . . . . . . . . . . . . . . . .  17
     7.2.  HelloMessage  . . . . . . . . . . . . . . . . . . . . . .  23
       7.2.1.  Wire Format . . . . . . . . . . . . . . . . . . . . .  23
       7.2.2.  Processing  . . . . . . . . . . . . . . . . . . . . .  24
     7.3.  PutMessage  . . . . . . . . . . . . . . . . . . . . . . .  24
       7.3.1.  Wire Format . . . . . . . . . . . . . . . . . . . . .  24
       7.3.2.  Processing  . . . . . . . . . . . . . . . . . . . . .  27
     7.4.  GetMessage  . . . . . . . . . . . . . . . . . . . . . . .  28
       7.4.1.  Wire Format . . . . . . . . . . . . . . . . . . . . .  28
       7.4.2.  Result Filter . . . . . . . . . . . . . . . . . . . .  30
       7.4.3.  Processing  . . . . . . . . . . . . . . . . . . . . .  30
     7.5.  ResultMessage . . . . . . . . . . . . . . . . . . . . . .  32
       7.5.1.  Wire Format . . . . . . . . . . . . . . . . . . . . .  32
       7.5.2.  Processing  . . . . . . . . . . . . . . . . . . . . .  35
   8.  Blocks  . . . . . . . . . . . . . . . . . . . . . . . . . . .  37

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     8.1.  Block Operations  . . . . . . . . . . . . . . . . . . . .  37
     8.2.  HELLO Blocks  . . . . . . . . . . . . . . . . . . . . . .  38
     8.3.  Persistence . . . . . . . . . . . . . . . . . . . . . . .  42
       8.3.1.  Approximate Search Considerations . . . . . . . . . .  43
       8.3.2.  Caching Strategy Considerations . . . . . . . . . . .  43
   9.  Security Considerations . . . . . . . . . . . . . . . . . . .  44
     9.1.  Disjoint Underlay or Application Protocol Support . . . .  44
     9.2.  Approximate Result Filtering  . . . . . . . . . . . . . .  44
     9.3.  Access Control  . . . . . . . . . . . . . . . . . . . . .  44
   10. IANA Considerations . . . . . . . . . . . . . . . . . . . . .  45
   11. GANA Considerations . . . . . . . . . . . . . . . . . . . . .  45
     11.1.  Block Type Registry  . . . . . . . . . . . . . . . . . .  45
     11.2.  GNUnet URI Schema Subregistry  . . . . . . . . . . . . .  45
     11.3.  GNUnet Signature Purpose Registry  . . . . . . . . . . .  46
     11.4.  GNUnet Message Type Registry . . . . . . . . . . . . . .  46
   12. Test Vectors  . . . . . . . . . . . . . . . . . . . . . . . .  46
   13. Normative References  . . . . . . . . . . . . . . . . . . . .  47
   14. Informative References  . . . . . . . . . . . . . . . . . . .  48
   Appendix A.  Bloom filters in R^5N  . . . . . . . . . . . . . . .  48
   Appendix B.  Overlay Operations . . . . . . . . . . . . . . . . .  49
     B.1.  GET operation . . . . . . . . . . . . . . . . . . . . . .  49
     B.2.  PUT operation . . . . . . . . . . . . . . . . . . . . . .  51
   Appendix C.  HELLO URLs . . . . . . . . . . . . . . . . . . . . .  51
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  52

1.  Introduction

   This specification describes the protocol of R^5N.  R^5N is a
   Distributed Hash Table (DHT).  The name is an acronym for "randomized
   recursive routing for restricted-route networks" and its first
   academic description can be found in [R5N].

   DHTs are a key data structure for the construction of decentralized
   applications and generally provide a robust and efficient means to
   distribute the storage and retrieval of key-value pairs.

   The core idea behind R^5N is to combine a randomized routing
   algorithm with an efficient, deterministic closest-peer algorithm.
   This allows us to construct an algorithm that is able to escape and
   circumvent restricted route environments while at the same time allow
   for a logarithmically bounded routing complexity.

   R^5N also includes advanced features like recording the path a key-
   value pair took through the network, response filters and on-path
   application-specific data validation.

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   This document defines the normative wire format of peer-to-peer
   messages, routing algorithms, cryptographic routines and security
   considerations for use by implementors.

1.1.  Requirements Notation

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in BCP
   14 [RFC2119] [RFC8174] when, and only when, they appear in all
   capitals, as shown here.

2.  Terminology

   Address  An _Address_ is a UTF-8 [RFC3629] string which can be used
      to address a _peer_ through the Underlay (Section 5).  The format
      of an address is not enforced by this specification, but it is
      expected that in most cases the address is a URI [RFC3986].

   Applications  _Applications_ are higher-layer components which
      directly use the _Core Operations_.  Possible _applications_
      include the GNU Name System [RFC9498] and the GNUnet Confidential
      Ad-hoc Decentralized End-to-End Transport (CADET) [cadet].

   Core Operations  The _Core Operations_ provide an interface to the
      core operations of the DHT overlay to _applications_.  This
      includes storing _blocks_ in the DHT and retrieving _blocks_ from
      the DHT.

   Block  Variable-size unit of payload stored in the DHT under a _key_.
      In the context of "key-value stores" this refers to "value" stored
      under a _key_.

   Block Storage  The _block storage_ component is used to persist and
      manage _blocks_ stored by _peers_.  It includes logic for
      enforcing storage quotas, caching strategies and block validation.

   Block-Type  A unique 32-bit value identifying the data format of a
      _block_.  _Block-types_ are either private or registered in the
      GANA block type registry (see Section 11.1).

   Bootstrapping  _Bootstrapping_ is the process of establishing a
      connection to the peer-to-peer network.  It requires an initial,
      non-empty set of reachable _peers_ and corresponding _addresses_
      supported by the implementation to connect to.

   Initiator  The _peer_ that initially creates and sends a DHT protocol
      message (Section 7.2, Section 7.3, Section 7.4, Section 7.5).

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   HELLO block  A HELLO block is a _block_ with a _block-type_ DHT_HELLO
      (13).  A HELLO block is used to store and retrieve _addresses_ of
      a _peer_.  HELLO blocks are used by the peer discovery mechanism
      in Section 6.2.

   HELLO URL  HELLO URLs are HELLO blocks represented as URLs.  They are
      used for out-of-band exchanges of _peer_ _addresses_ and for
      signalling address updates to _neighbours_.  Implementation
      details of HELLO URLs and examples are found in Appendix C.

   Key  512-bit identifier of a location in the DHT.  Multiple Blocks
      can be stored under the same _key_. A _peer identity_ is also a
      key.  In the context of "key-value stores" this refers to "key"
      under which values (_blocks_) are stored.

   Message Processing  The _message processing_ component of the DHT
      implementation processes requests from and generates responses to
      _applications_ and the _underlay interface_.

   Neighbor  A neighbor is a _peer_ which is directly able to
      communicate with our _peer_ via the _underlay interface_.

   Peer  A host that is participating in the overlay by running an
      implementation of the DHT protocol.  Each participating host is
      responsible for holding some portion of the data that has been
      stored in the overlay, and they are responsible for routing
      messages on behalf of other _peers_ as needed by the _routing
      algorithm_.

   Peer Identity  The _peer identity_ is the identifier used on the
      overlay to identify a _peer_.  It is a SHA-512 hash of the _peer
      public key_.

   Peer Public Key  The _peer public key_ is the key used to
      authenticate a _peer_ in the underlay.

   Routing  The _routing_ component includes the routing table as well
      as routing and _peer_ selection logic.  It facilitates the R^5N
      routing algorithm with required data structures and algorithms.

   Underlay Interface  The _underlay interface_ is an abstraction layer
      on top of the supported links of a _peer_. Peers may be linked by
      a variety of different transports, including "classical" protocols
      such as TCP, UDP and TLS or higher-layer protocols such as GNUnet,
      I2P or Tor.

3.  Motivation

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3.1.  Restricted-route topologies

   Restricted-route topologies emerge when a connected underlay topology
   prevents (or restricts) direct connections between some of the nodes.
   This commonly occurs through the use of NAT.  Nodes operated behind a
   NAT cause common DHT routing algorithms such as Kademlia to exhibit
   degraded performance or even to fail.  While excluding such nodes is
   an option, this limits load distribution and is ineffective for some
   physical networks.

   Nodes which in terms of a classical distance metric such as XOR would
   be considered close may not be reachable, for example due to a
   firewall or NAT.  This leads to multiple (local) minima with respect
   to where data may be stored or where data can be retrieved.  From a
   particular fixed location in the network, a node may only be able to
   find and and store data in the context of its local minimum.

   R^5N addresses this problem by prepending a random walk before a
   classical, deterministic XOR-based routing algorithm is employed.  If
   the network exhibits the properties of a small world topology, such a
   random walk will cause the algorithm to land on a random node in the
   network.  Consequently, the deterministic part of the algorithm will
   encounter a random local minimum.  It is then possible to repeat this
   process in order to store or retrieve data in the context of all or
   at least multiple local minima.  The number of repetitions expected
   to cover all local minima depends on the current network size and
   this one of the parameters of the R^5N routing algorithm.

3.2.  Key differences to RELOAD

   [RFC6940] specifies the RELOAD DHT.  The R^5N DHT described in this
   document differs from RELOAD in its objectives and thus in its
   design.  The authors of RELOAD make the case that P2P networks are
   often established among a set of peers that do not trust each other.
   It addresses this issue by requiring that node identifiers are either
   assigned by a central authority, or self-issued in the case of closed
   networks.  In other words, by enforcing the P2P network to be
   established among a set of _trusted_ peers.  This misses the point
   that this openness is a core requirement of efficient and useful DHTs
   as they serve a fundamental part in a decentralized network
   infrastructure.  R^5N, by contrast, is intended for open overlay
   networks, and thus does not include a central enrollment server to
   certify participants and does not limit participation in another way.
   As participants could be malicious, R^5N includes on-path
   customizable key-value validation to delete malformed data and path
   randomiziation to help evade malicious peers.  R^5N also expects to
   perform over a network where not each peer can communicate with every
   other peer, and where thus its route discovery feature provides

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   utility to higher-level applications.  As a result, both the features
   and the security properties of RELOAD and R^5N are different, except
   in that both allow storing and retrieving key-value pairs.

4.  Overview

   In R^5N peers provide the two fundamental core operations of any DHT
   to their applications:

   *  PUT: This operation stores a _block_ under a _key_ on one or more
      _peers_ with the goal of making the _block_ availiable for queries
      using the GET operation.  In the classical definition of a
      dictionary interface, this operation would be called "insert".

   *  GET: This operation queries the network of peers for any number of
      _blocks_ previously stored under or near a _key_.  In the
      classical definition of a dictionary interface, this operation
      would be called "find".

   An example for possible semantics of the above operations provided as
   an API to applications by an implementation are outlined in
   Appendix B.

   A _peer_ does not necessarily need to expose the above operations to
   _applications_, but it commonly will.  A _peer_ that does not expose
   the above operations could be a host purely used for _bootstrapping_,
   _routing_ or supporting the overlay network with resources.

   Similarly, there could be hosts on the network that participate in
   the DHT but do not route traffic or store data.  Examples for such
   hosts would be mobile devices with limited bandwidth, battery and
   storage capacity.  Such hosts may be used to run applications that
   use the DHT.  However, we will not refer to such hosts as _peers_.

   In a trivial scenario where there is only one _peer_ (on the local
   host), R^5N operates similarly to a dictionary data structure.
   However, the default use case is one where nodes communicate directly
   and indirectly in order to realize a distributed storage mechanism.
   This communication requires a lower-level peer addressing and message
   transport mechanism such as TCP/IP.  R^5N is agnostic to the
   underlying transport protocol which is why this document defines a
   common addressing and messaging interface in Section 5.  The
   interface provided by this underlay is used across the specification
   of the R^5N protocol.  It also serves as a set of requirements of
   possible transport mechanisms that can be used to implement R^5N
   with.  That being said, common transport protocols such as TCP/IP or
   UDP/IP and their interfaces are suitable R^5N underlays used by
   existing implementations.

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   Specifics about the protocols of the underlays implementing the
   _underlay interface_ or the _applications_ using the DHT are out of
   the scope of this document.

   To establish an initial connection to a network of R^5N peers, at
   least one initial, addressable _peer_ is required as part of the
   _bootstrapping_ process.  Further _peers_, including _neighbors_, are
   then learned via a peer discovery process as defined in Section 6.2.

   Across this document, the functional components of an R^5N
   implementation are divided into _routing_ (Section 6), _message
   processing_ (Section 7) and block processing (Section 8).
   _Applications_ that require application-specific _block_ payloads are
   expected to register a _Block-Type_ in the GANA _Block-Type_ registry
   (Section 11.1) and provide a specification of the associated block
   operations (Section 8.1).  to implementors of R^5N.  Figure 1
   illustrates the architectural overview of R^5N.

                |  +-----------------+  +-------+
   Applications |  | GNU Name System |  | CADET |  ...
                |  +-----------------+  +-------+
   -------------+------------------------------------ Core Operations
                |  ^
                |  |   +---------------+
                |  |   | Block Storage |
                |  |   +---------------+
                |  |    ^
   R5N          |  v    v
                | +--------------------+    +---------+
                | | Message Processing |<-->| Routing |
                | +--------------------+    +---------+
                |  ^                          ^
                |  v                          v
   -------------+------------------------------------ Underlay Interface
                | +--------+  +--------+  +----------+
                | |GNUnet  |  |IP      |  | QUIC     |
   Connectivity | |Underlay|  |Underlay|  | Underlay | ...
                | |Link    |  |Link    |  | Link     |
                | +--------+  +--------+  +----------+

                      Figure 1: The R5N architecture.

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5.  Underlay

   How peers are addressed in the underlay is out of scope of this
   document.  For example, a peer may have a TCP/IP address, or expose a
   QUIC endpoint.  While the specific addressing options and mechanisms
   are out of scope, it is necessary to define a universal addressing
   format in order to facilitate the distribution of _address_
   information to other _peers_ in the DHT overlay.  This standardized
   format is the _HELLO Block_ (described in Section 8.2), which
   contains sets of addresses.  If the address is a URI, it may indicate
   which underlay understands the respective _address_ details.

   It is expected that the underlay provides basic mechanisms to manage
   peer connectivity and addressing.  The essence of the _underlay
   interface_ is captured by the following set of API calls:

   TRY_CONNECT(P, A)  This call allows an implementation to signal to
      the underlay that it wants to establish a connection to another
      peer P using an address A.  If the connection attempt is
      successful, information on the new peer will be offered through
      the PEER_CONNECTED signal.

   HOLD(P)  This call tells the underlay to keep a hold on to a
      connection to a peer P.  Underlays are usually limited in the
      number of active connections.  With this function the DHT can
      indicate to the underlay which connections should preferably be
      preserved.

   DROP(P)  This call tells the underlay to drop the connection to a
      peer P.  This call is only there for symmetry and used during the
      peer's shutdown to release all of the remaining HOLDs.  As R^5N
      always prefers the longest-lived connections, it would never drop
      an active connection that it has called HOLD() on before.
      Nevertheless, underlay implementations should not rely on this
      always being true.  A call to DROP() also does not imply that the
      underlay must close the connection: it merely removes the
      preference to preserve the connection that was established by
      HOLD().

   SEND(P, M)  This call allows the local peer to send a protocol
      message M to a peer P.

   ESTIMATE_NETWORK_SIZE() -> L2NSE  A call that provides an estimate of

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      the network size.  The result, L2NSE, must be the base-2 logarithm
      of the estimated number of peers in the network.  It is used by
      the routing algorithm.  If the underlay does not support a
      protocol for network size estimation (such as cite paper NSE) the
      value is assumed to be provided as a configuration parameter to
      the implementation.

   The above calls are meant to be actively executed by the
   implementation as part of the peer-to-peer protocol.  In addition,
   the underlay is expected to emit the following signals (usually
   implemented as callbacks) based on network events observed by the
   underlay implementation:

   PEER_CONNECTED -> P  is a signal that allows the DHT to react to a
      newly connected peer P.  Such an event triggers, for example,
      updates in the routing table and gossiping of HELLOs to that peer.
      Underlays may include meta-data about the connection, for example
      to indicate that the connection is from a resource-constrained
      host that does not intend to function as a full _peer_ and thus
      should not be considered for routing.

   PEER_DISCONNECTED -> P  is a signal that allows the DHT to react to a
      recently disconnected peer.  Such an event triggers, for example,
      updates in the routing table.

   ADDRESS_ADDED -> A  The underlay signals indicates that an address A
      was added for our local peer and that henceforth the peer may be
      reachable under this address.  This information is used to
      advertise connectivity information about the local peer to other
      peers.  A must be a URI suitable for inclusion in a HELLO payload
      Section 8.2.

   ADDRESS_DELETED -> A  This underlay signal indicates that an address
      A was removed from the set of addresses the local peer is possibly
      reachable under.  Addresses must have been added before they may
      be deleted.  This information is used to no longer advertise this
      address to other peers.

   RECEIVE -> (P, M)  This signal informs the local peer that a protocol
      message M was received from a peer P.

   These signals then drive updates of the routing table, local storage
   and message transmission.

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6.  Routing

   To enable routing, any R^5N implementation must keep information
   about its current set of neighbors.  Upon receiving a connection
   notification from the _underlay interface_ through a PEER_CONNECTED
   signal, information on the new neighbor MUST be added to the routing
   table, except if the respective k-bucket in the routing table is full
   or if meta-data is present that indicates that the peer does not wish
   to participate in routing.  Peers added to the routing table SHOULD
   be signalled to the underlay as important connections using a HOLD
   call.  Similarly when a disconnect is indicated by the underlay
   through a PEER_DISCONNECTED signal, the peer MUST be removed from the
   routing table.

   To achieve logarithmically bounded routing performance, the data
   structure for managing neighbors and their metadata MUST be
   implemented using the k-buckets concept of [Kademlia] as defined in
   Section 6.1.  Maintenance of the routing table (after
   _bootstrapping_) is described in Section 6.2.

   Unlike [Kademlia], routing decisions in R^5N are also influenced by a
   Bloom filter in the message that prevents routing loops.  This data
   structure is discussed in Section 6.3.

   In order to select peers which are suitable destinations for routing
   messages, R^5N uses a hybrid approach: Given an estimated network
   size L2NSE retrieved using ESTIMATE_NETWORK_SIZE (), the peer
   selection for the first L2NSE hops is random.  After the initial
   L2NSE hops, peer selection follows an XOR-based peer distance
   calculation.  Section 6.4 describes the corresponding routing
   functions.

6.1.  Routing Table

   Whenever a PEER_CONNECTED signal is received from the underlay, the
   respective peer is considered for insertion into the routing table.
   The routing table consists of an array of k-buckets.  Each k-bucket
   contains a list of _neighbors_.  The i-th k-bucket stores neighbors
   whose peer public keys are between distance 2^i and 2^(i+1) from the
   local peer.  System constraints will typically force an
   implementation to impose some upper limit on the number of
   _neighbors_ kept per k-bucket.  Upon insertion, the implementation
   MUST call HOLD on the respective _neighor_.

   Implementations SHOULD try to keep at least 5 entries per k-bucket.
   Embedded systems that cannot manage this number of connections MAY
   use connection-level signalling to indicate that they are merely a
   client utilizing a DHT and not able to participate in routing.  DHT

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   peers receiving such connections MUST NOT include connections to such
   restricted systems in their k-buckets, thereby effectively excluding
   them when making routing decisions.

   If a system hits constraints with respect to the number of active
   connections, an implementation MUST evict _neighbours_ from those
   k-buckets with the largest number of neighbors.  The eviction
   strategy MUST be to drop the shortest-lived connection per k-bucket
   first.

   Implementations MAY cache valid _addresses_ of disconnected _peers_
   outside of the routing table and sporadically or periodically try to
   (re-)establish connection to the _peer_ by making TRY_CONNECT calls
   to the _underlay interface_ if the respective k-bucket has empty
   slots.

6.2.  Peer Discovery

   Initially, implementations depend upon either the underlay providing
   at least one initial connection to a _neighbor_ (signalled through
   PEER_CONNECTED), or the _application_ or even end-user providing at
   least one working HELLO which is then in turn used to call
   TRY_CONNECT on the underlay in order to trigger a subsequent
   PEER_CONNECTED signal from the _underlay interface_.  This is
   commonly achieved through the configuration of hardcoded bootstrap
   peers or bootstrap servers either for the underlay or the R^5N
   implementation.  While details on how the first connection is
   established MAY depend on the specific implementation, this SHOULD
   usually be done by an out-of-band exchange of the information from a
   HELLO block.  Appendix C specifies a URL format for encoding HELLO
   blocks as text strings.  The URL format thus provides a portable,
   human-readable, text-based serialization format that can, for
   example, be encoded into a QR code for dissemination.  HELLO URLs
   SHOULD be supported by implementations for both import and export of
   HELLOs.

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   To discover peers for its routing table, a peer will initiate
   GetMessage requests (see Section 7.4) asking for blocks of type HELLO
   using its own peer identity in the QUERY_HASH field of the message.
   The PEER_BF is initialized and set using the peers own peer identity
   as well as the identities of all currently connected _neighbors_.
   These requests MUST use the FindApproximate and DemultiplexEverywhere
   flags.  FindApproximate will ensure that other peers will reply with
   results where the keys are merely considered close-enough, while
   DemultiplexEverywhere will cause each peer on the path to respond.
   The combination of these flags is thus likely to yield HELLOs of
   peers that are useful somewhere in the routing table.  The
   RECOMMENDED replication level to be set in the REPL_LVL field is 4.
   The size and format of the result filter is specified in Section 8.2.
   The XQUERY MUST be empty.

   In order to facilitate the above, the underlay is expected to provide
   the implementation with one or more addresses signalled through
   ADDRESS_ADDED.  Zero addresses MAY be provided if a peer can only
   establish outgoing connections and is otherwise unreachable.  An
   implementation MUST advertise its addresses periodically to its
   _neighbors_ through HelloMessages.  The advertisement interval and
   expiration should be configurable or chosen at the discretion of the
   implementation based on external factors such as expiration of DHCP
   leases.  The specific frequency of advertisements MAY depend on
   available bandwidth, the set of already connected neighbors, the
   workload of the system and other factors which are at the discretion
   of the developer, but SHOULD be a fraction of the expiration period.
   Whenever a peer receives such a HELLO message from another peer that
   is already in the routing table, it must cache it as long as that
   peer remains in its routing table (or until the HELLO expires) and
   serve it in response to GET requests for HELLO blocks (see
   Section 7.4.3).  This behaviour makes it unnecessary to initiate
   dedicated PutMessages containing HELLO blocks by the implementation.

6.3.  Peer Bloom Filter

   As DHT GetMessages and PutMessages traverse a random path through the
   network for the first L2NSE hops, a key design objective of R^5N is
   to avoid routing loops.  The peer Bloom filter is part of the routing
   metadata in messages to prevent circular routes.  It is updated at
   each hop where the hops peer public key is added to it.  It is
   constant in size at L=1024 bits (128 bytes) and sets k=16 bits per
   element.  For the next hop selection in both the random and the
   deterministic case, any peer which is in the peer Bloom filter for
   the respective message is excluded from the peer selection process.

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   Any peer which is forwarding GetMessages or PutMessages (Section 7)
   thus adds its own peer public key to the peer Bloom filter.  This
   allows other peers to (probabilistically) exclude already traversed
   peers when searching for the next hops in the routing table.

   The peer Bloom filter follows the definition in Appendix A.  The set
   of elements E consists of of all possible 256-bit peer public keys.
   The mapping function M is defined as follows:

   M(e) -> SHA-512 (e) as uint32[]

   The element e is the peer public key which is hashed using SHA-512.
   The resulting 512-bit peer identity is interpreted as an array of
   k=16 32-bit integers in network byte order which are used to set and
   check the bits in B using BF-SET and BF-TEST.

   We note that the peer Bloom filter may exclude peers due to false-
   postive matches.  This is acceptable as routing should nevertheless
   terminate (with high probability) in close vicinity of the key.
   Furthermore, due to the randomization of the first L2NSE hops, it is
   possible that false-positives will be different when a request is
   repeated.

6.4.  Routing Functions

   Using the data structures described so far, the R^5N routing
   component provides the following functions for message processing
   (Section 7):

   GetDistance(A, B) -> Distance  This function calculates the binary
      XOR between A and B.  The resulting distance is interpreted as an
      integer where the leftmost bit is the most significant bit.

   SelectClosestPeer(K, B) -> N  This function selects the neighbor N
      from our routing table with the shortest XOR-distance to the key
      K.  This means that for all other peers N' in the routing table
      GetDistance(N, K) < GetDistance(N',K).  Peers with a positive test
      against the peer Bloom filter B are not considered.

   SelectRandomPeer(B) -> N  This function selects a random peer N from
      all neighbors.  Peers with a positive test in the peer Bloom
      filter B are not considered.

   SelectPeer(K, H, B) -> N  This function selects a neighbor N
      depending on the number of hops H parameter.  If H <
      NETWORK_SIZE_ESTIMATE returns SelectRandomPeer(B), and otherwise
      returns SelectClosestPeer(K, B).

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   IsClosestPeer(N, K, B) -> true | false  This function checks if N is
      the closest peer for K (cf.  SelectClosestPeer(K, B)).  Peers with
      a positive test in the Bloom filter B are not considered.

   ComputeOutDegree(REPL_LVL, HOPCOUNT, L2NSE) -> Number  This function
      computes the number of _neighbors_ that a message should be
      forwarded to.  The arguments are the desired replication level
      (REPL_LVL), the HOPCOUNT of the message so far and and the current
      network size estimate (L2NSE) as provided by the underlay.  The
      result is the non-negative number of next hops to select.  The
      following figure gives the pseudocode for computing the number of
      neighbors the peer should attempt to forward the message to.

      function ComputeOutDegree(REPL_LVL, HOPCOUNT, L2NSE)
      BEGIN
        if (HOPCOUNT > L2NSE * 4)
          return 0;
        if (HOPCOUNT > L2NSE * 2)
          return 1;
        if (0 = REPL_LEVL)
          REPL_LEVL = 1
        if (REPL_LEVEL > 16)
          REPL_LEVEL = 16
        RM1 = REPL_LEVEL - 1
        return 1 + (RM1 / (L2NSE + RM1 * HOPCOUNT))

                 Figure 2: Computing the number of next hops.

      The above calculation may yield values that are not discrete.
      Hence, the result MUST be rounded probabilistically to the nearest
      discrete value, using the fraction as the probability for rounding
      up.  This probabillistic rounding is necessary to achieve the
      statistically expected value of the replication level and average
      number of peers a message is forwarded to.

6.5.  Pending Table

   R^5N performs stateful routing where the messages only carry the
   query hash and do not encode the ultimate source or destination of
   the request.  Routing a request towards the key is doing hop-by-hop
   using the routing table and the query hash.  The pending table is
   used to route responses back to the originator.  In the pending table
   each peer primarily associates a query hash with the associated
   originator of the request.  The pending table MUST store entries for
   the last MAX_RECENT requests the peer has encountered.  To ensure
   that the peer does not run out of memory, information about older
   requests is discarded.  The value of MAX_RECENT MAY be configurable
   and SHOULD be at least 128 * 10^3.

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   For each entry in the pending table, the DHT MUST track not only the
   query key and the origin, but also the extended query, requested
   block type and flags, and the result filter.  If the query did not
   provide a result filter, a fresh result filter MUST still be created
   to filter duplicate replies.  Details of how a result filter works
   depend on the type, as described in Section 8.1.

   When a second query from the same origin for the same query hash is
   received, the DHT MUST attempt to merge the new request with the
   state for the old request.  If this is not possible (say because the
   MUTATOR differs), the existing result filter MUST be discarded and
   replaced with the result filter of the incoming message.

   We note that for local applications, a fixed limit on the number of
   concurrent requests may be problematic.  Hence, it is RECOMMENDED
   that implementations track requests from local applications
   separately and preserve the information about requests from local
   applications until the local application explicitly stops the
   request.

7.  Message Processing

   An implementation will process messages either because it needs to
   transmit messages as part of routing table maintenance, or due to
   requests from local applications, or because it received a message
   from a _neighbor_.  If instructed through an application-facing API
   such as the one outlined in Appendix B, a peer acts as an _initiator_
   of GetMessages or PutMessages.  The status of initiator is relevant
   for peers when processing ResultMessages due to the required handover
   of results to the originating _application_.

   The implementation MUST listen for RECEIVE(P, M) signals from the
   underlay and react to the respective messages sent by the peer P.

   Whether initiated locally or received from a neighbor, an
   implementation processes messages according to the wire formats and
   the required validations detailed in the following sections.  Where
   required, the local peer public key is referred to as SELF.

7.1.  Message components

   This section describes some data structures and fields shared by
   various types of messages.

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7.1.1.  Flags

   Flags is an 8-bit vector representing binary options.  Each flag is
   represented by a bit in the field starting from 0 as the rightmost
   bit to 7 as the leftmost bit.

   0: DemultiplexEverywhere  This bit indicates that each peer along the
      way should process the request.  If the bit is not set,
      intermediate peers only route the message and only peers which
      consider themselves closest to the key look for answers in their
      local storage for GetMessages, or respectively cache the block in
      their local storage for PutMessages and ResultMessages.

   1: RecordRoute  This bit indicates to keep track of the path that the
      message takes in the P2P network.

   2: FindApproximate  This bit asks peers to return results even if the
      _key_ does not exactly match the query hash.

   3: Truncated  This is a special flag which is set if a peer truncated
      the path and thus the first hop on the path is given without a
      signature to enable checking of the next signature.  This flag
      MUST never be set in a query.

   4-7: Reserved  The remaining bits are reserved for future use and
      MUST be set to 0 when initiating an operation.  If non-zero bits
      are received, implementations MUST preserve these bits when
      forwarding messages.

7.1.2.  Path Element

   A path element represents a hop in the path a message has taken
   through the overlay network.  The wire format of a path element is
   illustrated in Figure 3.

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE                    |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PRED PEER PUBLIC KEY         |
   |                  (32 bytes)                   |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+

                Figure 3: The Wire Format of a path element.

   where:

   SIGNATURE  is a 64 byte EdDSA signature using the current hop's
      private key affirming the peer public keys of the previous and
      next hops.

   PRED PEER PUBLIC KEY  is the EdDSA public key of the previous peer on
      the path.

   An ordered list of path elements may be appended to any routed
   PutMessages or ResultMessages.  The last signature (after which the
   peer public key is omitted) is created by the current hop only after
   the peer made its routing decision identifiying the successor peer.
   The peer public key is not included after the last signature as it
   must be that of the sender of the message and including it would thus
   be redundant.  Similarly, the predecessor of the first element of an
   untruncated path is not stated explicitly, as it must be ZERO.

   Figure 4 shows the wire format of an example path from peer A over
   peers B and C and D as it would be received by peer E in the PUTPATH
   of a PutMessage, or as the combined PUTPATH and GETPATH of a
   ResultMessage.  The wire format of the path elements allows a natural
   extension of the PUTPATH along the route of the ResultMessage to the
   destination forming the GETPATH.  The PutMessage would indicate in
   the PATH_LEN field a length of 3.  The ResultMessage would indicate a
   path length of 3 as the sum of the field values in PUTPATH_L and
   GETPATH_L.  Basically, the last signature does not count for the path
   length.

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE A                  |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER A                       |
   |                  (32 bytes)                   |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE B                  |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER B                       |
   |                  (32 bytes)                   |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE C                  |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER C                       |
   |                  (32 bytes)                   |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE D (last sig)       |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |

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   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+

           Figure 4: Example of a path as found in PutMessages or
                        ResultMessages from A to D.

   A path may be truncated in which case the signature of the truncated
   path element is omitted leaving only the public key of the peer
   preceeding the trunction which is required for the verification of
   the subsequent path element signature.  Such a truncated path is
   indicated with the respective truncated flag (Section 7.1.1).  For
   truncated paths, the peer public key of the signer of the last path
   element is again omitted as it must be that of the sender of the
   PutMesssage or ResultMessage.  Similarly, the public key of the
   receiving peer used in the last path element is omitted as it must be
   SELF.  The wire format of a truncated example path from peers B over
   C and D to E (possibly still originating at A, but the origin is
   unknowable to E due to truncation) is illustrated in Figure 5.  Here,
   a ResultMessage would indicate in the PATH_LEN field a length of 1
   while a PutMessage would indicate a length of 1 as the sum of
   PUTPATH_L and GETPATH_L fields.  Basically, the truncated peer and
   the last signature do not count for the path length.

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER B (truncated)           |
   |                  (32 byte)                    |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE C                  |
   |                  (64 bytes)                   |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER C                       |
   |                  (32 bytes)                   |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  SIGNATURE D (last sig)       |
   |                  (64 byte)                    |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+

        Figure 5: Example of a truncated path from Peer B to Peer D.

   The SIGNATURE field in a path element covers a 64-bit
   contextualization header, the the block expiration, a hash of the
   block payload, as well as the predecessor peer public key and the
   peer public key of the successor that the peer making the signature
   is routing the message to.  Thus, the signature made by SELF
   basically says that SELF received the block payload from PEER
   PREDECESSOR and has forwarded it to PEER SUCCESSOR.  The wire format
   is illustrated in Figure 6.

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |         SIZE          |       PURPOSE         |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                   EXPIRATION                  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  BLOCK HASH                   |
   |                  (64 byte)                    |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER PREDECESSOR             |
   |                  (32 byte)                    |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  PEER SUCCESSOR               |
   |                  (32 byte)                    |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+

         Figure 6: The Wire Format of the path element for Signing.

   SIZE  A 32-bit value containing the length of the signed data in
      bytes in network byte order.  The length of the signed data MUST
      be 144 bytes.

   PURPOSE  A 32-bit signature purpose flag.  This field MUST be 6 (in
      network byte order).

   EXPIRATION  denotes the absolute 64-bit expiration date of the block.
      In microseconds since midnight (0 hour), January 1, 1970 UTC in
      network byte order.

   BLOCK HASH  a SHA-512 hash over the block payload.

   PEER PREDECESSOR  the peer public key of the previous hop.  If the
      signing peer initiated the PUT, this field is set to all zeroes.

   PEER SUCCESSOR  the peer public key of the next hop (not of the
      signer).

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7.2.  HelloMessage

   When the underlay signals the implementation of added or removed
   addresses through ADDRESS_ADDED and ADDRESS_DELETED an implementation
   MAY disseminate those changes to neighbors using HelloMessages.
   Initiation of such HelloMessages by the implementation itself is
   RECOMMENDED.  HelloMessages are used to inform neighbors of a peer
   about the sender's available addresses.  The recipients use these
   messages to inform their respective underlays about ways to sustain
   the connections and to generate HELLO blocks (see Section 8.2) to
   answer peer discovery queries from other peers.

7.2.1.  Wire Format

   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |  MSIZE    |   MTYPE   | VERSION   | NUM_ADDRS |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                    SIGNATURE                  /
   /                   (64 bytes)                  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                    EXPIRATION                 |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   / ADDRESSES (variable length)                   /
   +-----+-----+-----+-----+-----+-----+-----+-----+

                  Figure 7: The HelloMessage Wire Format.

   where:

   MSIZE  denotes the size of this message in network byte order.

   MTYPE  is the 16-bit message type.  It must be set to the value 157
      in network byte order as defined in the GANA "GNUnet Message Type"
      registry Section 11.4.

   VERSION  is a 16-bit field that indicates the version of the
      HelloMessage.  Must be zero.  In the future, this may be used to
      extend or update the HelloMessage format.

   NUM_ADDRS  is a 16-bit number that gives the total number of
      addresses encoded in the ADDRESSES field.  In network byte order.

   SIGNATURE  is a 64 byte EdDSA signature using the sender's private
      key affirming the information contained in the message.  The
      signature is signing exactly the same data that is being signed in
      a HELLO block as described in Section 8.2.

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   EXPIRATION  denotes the absolute 64-bit expiration date of the
      content.  The value specified is microseconds since midnight (0
      hour), January 1, 1970, but must be a multiple of one million (so
      that it can be represented in seconds in a HELLO URL).  Stored in
      network byte order.

   ADDRESSES  A sequence of exactly NUM_ADDRS addresses (Section 2)
      which can be used to contact the peer.  Each address MUST be
      0-terminated.  The set of addresses MAY be empty.

7.2.2.  Processing

   If the initiator of a HelloMessage is SELF, the message is simply
   sent to all neighbors P currently in the routing table using SEND.

   Otherwise, upon receiving a HelloMessage from a peer P an
   implementation MUST process it step by step as follows:

   1.  If P is not in its routing table, the message is discarded.

   2.  The signature is verified, including a check that the expiration
       time is in the future.  If the signature is invalid, the message
       is discarded.

   3.  The information contained in the HelloMessage can be used to
       synthesize a block of type HELLO (Section 8.2).  The block is
       cached in the routing table until it expires, the peer is removed
       from the routing table, or the information is replaced by another
       message from the peer.  The implementation SHOULD instruct the
       underlay to connect to all now available addresses using
       TRY_CONNECT in order to make the underlay aware of alternative
       addresses for this connection and to maintain optimal
       connectivity.

   4.  Received HelloMessages MUST NOT be forwarded.

7.3.  PutMessage

   PutMessages are used to store information at other peers in the DHT.
   Any API which allows applications to initiate PutMessages needs to
   provide sufficient, implementation-specific information to construct
   the initial PutMessage.  For example, implementations supporting
   multiple applications and blocks will have block type and message
   flag parameters in addition to the actual data payload and key.

7.3.1.  Wire Format

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |   MSIZE   |   MTYPE   |         BTYPE         |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   | VER |FLAGS| HOPCOUNT  | REPL_LVL  | PATH_LEN  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                    EXPIRATION                 |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                   PEER_BF                     /
   /                 (128 byte)                    |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  BLOCK_KEY                    /
   /                 (64 byte)                     |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /       TRUNCATED ORIGIN (0 or 32 bytes)        /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /              PUTPATH (variable length)        /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /      LAST HOP SIGNATURE (0 or 64 bytes)       /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /              BLOCK (variable length)          /
   +-----+-----+-----+-----+-----+-----+-----+-----+

                   Figure 8: The PutMessage Wire Format.

   where:

   MSIZE  denotes the size of this message in network byte order.

   MTYPE  is the 16-bit message type.  Read-only.  It must be set to the
      value 146 in network byte order as defined in the GANA "GNUnet
      Message Type" registry Section 11.4.

   BTYPE  is a 32-bit block type.  The block type indicates the content
      type of the payload.  Set by the initiator.  Read-only.  In
      network byte order.

   VER  is a 8-bit protocol version.  Set to zero.  May be used in
      future protocol versions.

   FLAGS  is a 8-bit vector with binary options (see Section 7.1.1).
      Set by the initiator.  Read-only.

   HOPCOUNT  is a 16-bit number indicating how many hops this message
      has traversed to far.  Set by the initiator to 0.  Incremented by
      processing peers.  In network byte order.

   REPL_LVL  is a 16-bit number indicating the desired replication level

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      of the data.  Set by the initiator.  Read-only.  In network byte
      order.

   PATH_LEN  is a 16-bit number indicating the number of path elements
      recorded in PUTPATH.  As PUTPATH is optional, this value may be
      zero.  If the PUTPATH is enabled, set initially to 0 by the
      initiator.  Incremented by processing peers.  In network byte
      order.

   EXPIRATION  denotes the absolute 64-bit expiration date of the
      content.  Set by the initiator.  Read-only.  In microseconds since
      midnight (0 hour), January 1, 1970 in network byte order.

   PEER_BF  A peer Bloom filter to stop circular routes (see
      Section 6.3).  Set by the initiator to contain the local peer and
      all neighbors it is forwarded to.  Modified by processing peers to
      include their own peer public key using BF-SET.

   BLOCK_KEY  The key under which the PutMessage wants to store content
      under.  Set by the initiator.  Read-only.

   TRUNCATED ORIGIN  is only provided if the TRUNCATED flag is set in
      FLAGS.  If present, this is the public key of the peer just before
      the first entry on the PUTPATH and the first peer on the PUTPATH
      is not the actual origin of the message.  Thus, to verify the
      first signature on the PUTPATH, this public key must be used.
      Note that due to the truncation, this last hop cannot be verified
      to exist.  Value is modified by processing peers.

   PUTPATH  the variable-length PUT path.  The path consists of a list
      of PATH_LEN path elements.  Set by the initiator to 0.
      Incremented by processing peers.

   LAST HOP SIGNATURE  is only provided if the RECORD ROUTE flag is set
      in FLAGS.  If present, this is an EdDSA signature of the sender of
      this message (using the same format as the signatures in PUTPATH)
      affirming that the sender forwarded the message from the
      predecessor (all zeros if PATH_LEN is 0, otherwise the last peer
      in PUTPATH) to the target peer.  Modified by processing peers (if
      flag is set).

   BLOCK  the variable-length block payload.  The contents are
      determined by the BTYPE field.  The length is determined by MSIZE
      minus the size of all of the other fields.  Set by the initiator.
      Read-only.

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7.3.2.  Processing

   Upon receiving a PutMessage from a peer P , or created through
   initiation by an overlay API, an implementation MUST process it step
   by step as follows:

   1.  The EXPIRATION field is evaluated.  If the message is expired, it
       MUST be discarded.

   2.  If the BTYPE is not supported by the implementation, no
       validation of the block payload is performed and processing
       continues at (5).  If the BTYPE is ANY, then the message MUST be
       discarded.  Else, the block MUST be validated as defined in (3)
       and (4).

   3.  The message is evaluated using the block validation functions
       matching the BTYPE.  First, the client attempts to derive the key
       using the respective DeriveBlockKey procedure as described in
       Section 8.1.  If a key can be derived and does not match, the
       message MUST be discarded.

   4.  Next, the ValidateBlockStoreRequest procedure for the BTYPE as
       described in Section 8.1 is used to validate the block payload.
       If the block payload is invalid, the message MUST be discarded.

   5.  The peer identity of the sender peer P SHOULD be in PEER_BF.  If
       not, the implementation MAY log an error, but MUST continue.

   6.  If the RecordRoute flag is not set, the PATH_LEN MUST be set to
       zero.  If the flag is set and PATH_LEN is non-zero, the local
       peer SHOULD verify the signatures from the PUTPATH.  Verification
       MAY involve checking all signatures or any random subset of the
       signatures.  It is RECOMMENDED that peers adapt their behavior to
       available computational resources so as to not make signature
       verification a bottleneck.  If an invalid signature is found, the
       PUTPATH MUST be truncated to only include the elements following
       the invalid signature.

   7.  If the local peer is the closest peer (cf.  IsClosestPeer(SELF,
       BLOCK_KEY, PeerFilter)) or the DemultiplexEverywhere flag ist
       set, the message SHOULD be stored locally in the block storage if
       possible.  The implementation MAY choose not store the block if
       external factors or configurations prevent this, such as limited
       (alottted) disk space.

   8.  If the BTYPE of the message indicates a HELLO block, the peer
       MUST be considered for the local routing table by using the peer
       identity in BLOCK_KEY.  If the peer is not either already

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       connected or the respective k-bucket is not already full the peer
       MUST try to establish a connection to the peer indicated in the
       HELLO block using the address information from the HELLO block
       and the underlay function TRY_CONNECT.  The implementation MUST
       instruct the underlay to try to connect to all provided addresses
       using TRY_CONNECT in order to make the underlay aware of multiple
       addresses for this connection.  When a connection is established,
       the signal PEER_CONNECTED will cause the peer to be added to the
       respective k-bucket of the routing table (Section 6).

   9.  Given the value in REPL_LVL, HOPCOUNT and FALSE =
       IsClosestPeer(SELF, BLOCK_KEY, PeerFilter) the number of peers to
       forward to MUST be calculated using ComputeOutDegree().  The
       implementation SHOULD select up to this number of peers to
       forward the message to using the function SelectPeer()
       (Section 6.4) using the BLOCK_KEY, HOPCOUNT, and utilizing
       PEER_BF as Bloom filter.  For each selected peer PEER_BF is
       updated with that peer in between calls to SelectPeer().  The
       implementation MAY forward to fewer or no peers in order to
       handle resource constraints such as limited bandwidth or simply
       if there are not suitable peers.  For each selected peer with
       peer identity P a dedicated PutMessage_P is created containing
       the original (and where applicable already updated) fields of the
       received PutMessage.  In each message the all selected peer
       identities and the local peer identity MUST be added to the
       PEER_BF and the HOPCOUNT is incremented by 1.  If the RecordRoute
       flag is set, a new path element is created using the predecessor
       peer public key and the signature of the current peer.  The path
       element is added to the PUTPATH fields and the PATH_LEN field is
       incremented by 1.  When creating the path element signature, the
       successor must be set to the recipient peer P of the PutMessageP.
       The successor in the new path element is the recipient peer P of
       Finally, the messages are sent using SEND(P, PutMessageP) each
       recipient.

7.4.  GetMessage

   GetMessages are used to request information from other peers in the
   DHT.  Any overlay API which allows applications to initiate
   GetMessages needs to provide sufficient, implementation-specific
   information needed to construct the initial GetMessage.  For example,
   implementations supporting multiple applications and blocks will have
   block type and message flag parameters.

7.4.1.  Wire Format

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |   MSIZE   |   MTYPE   |         BTYPE         |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   | VER |FLAGS|  HOPCOUNT | REPL_LVL  |  RF_SIZE  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                 PEER_BF                       /
   /                 (128 byte)                    |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                 QUERY_HASH                    /
   /                 (64 byte)                     |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                 RESULT_FILTER                 /
   /                 (variable length)             /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /                 XQUERY (variable length)      /
   +-----+-----+-----+-----+-----+-----+-----+-----+

                   Figure 9: The GetMessage Wire Format.

   where:

   MSIZE  denotes the size of this message in network byte order.

   MTYPE  is the 16-bit message type.  Read-only.  It must be set to the
      value 147 in network byte order as defined in the GANA "GNUnet
      Message Type" registry Section 11.4.

   BTYPE  is a 32-bit block type field.  The block type indicates the
      content type of the payload.  Set by the initiator.  Read-only.
      In network byte order.

   VER  is a 8-bit protocol version.  Set to zero.  May be used in
      future protocol versions.

   FLAGS  is a 8-bit vector with binary options (see Section 7.1.1).
      Set by the initiator.  Read-only.

   HOPCOUNT  is a 16-bit number indicating how many hops this message
      has traversed to far.  Set by the initiator to 0.  Incremented by
      processing peers.  In network byte order.

   REPL_LVL  is a 16-bit number indicating the desired replication level
      of the data.  Set by the initiator.  Read-only.  In network byte
      order.

   RF_SIZE  is a 16-bit number indicating the length of the result

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      filter RESULT_FILTER.  Set by the initiator.  Read-only.  In
      network byte order.

   PEER_BF  A peer Bloom filter to stop circular routes (see
      Section 6.3).  Set by the initiator to include itself and all
      connected neighbors in the routing table.  Modified by processing
      peers to include their own peer identity.

   QUERY_HASH  The query used to indicate what the key is under which
      the initiator is looking for blocks with this request.  The block
      type may use a different evaluation logic to determine applicable
      result blocks.  Set by the initiator.  Read-only.

   RESULT_FILTER  the variable-length result filter, described in
      Section 7.4.2.  Set by the initiator.  Modified by processing
      peers.

   XQUERY  the variable-length extended query.  Optional.  Set by the
      initiator.  Read-only.

7.4.2.  Result Filter

   The result filter is used to indicate to other peers which results
   are not of interest when processing a GetMessage (Section 7.4).  Any
   peer which is processing GetMessages and has a result which matches
   the query key MUST check the result filter and only send a reply
   message if the result does not test positive under the result filter.
   Before forwarding the GetMessage, the result filter MUST be updated
   using the result of the BTYPE-specific FilterResult (see Section 8.1)
   function to filter out all results already returned by the local
   peer.

   How a result filter is implemented depends on the block type as
   described in Section 8.1.  Result filters may be probabilistic data
   structures.  Thus, it is possible that a desireable result is
   filtered by a result filter because of a false-positive test.

   How exactly a block result is added to a result filter is specified
   as part of the definition of a block type (cf.  Section 8.2).

7.4.3.  Processing

   Upon receiving a GetMessage from a peer P, or created through
   initiation by the overlay API, an implementation MUST process it step
   by step as follows:

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   1.  If the BTYPE is supported, the QUERY_HASH and XQUERY fields are
       validated as defined by the respective ValidateBlockQuery
       procedure for this type.  If the result yields REQUEST_INVALID,
       the message MUST be discarded and processing ends.  If the BTYPE
       is not supported, the message MUST be forwarded (Skip to step 4).
       If the BTYPE is ANY, the message is processed further without
       validation.

   2.  The peer identity of the sender peer P SHOULD be in the PEER_BF
       Bloom filter.  If not, the implementation MAY log an error, but
       MUST continue.

   3.  The local peer SHOULD try to produce a reply in any of the
       following cases: (1) If the local peer is the closest peer (cf.
       IsClosestPeer (SELF, QueryHash, PeerFilter), or (2) if the
       DemultiplexEverywhere flag is set, or (3) if the local peer is
       not the closest and a previously cached ResultMessage also
       matches this request (Section 7.5.2).

       The reply is produced (if one is available) using the following
       steps:

       a)  If the BTYPE is HELLO, the implementation MUST only consider
           synthesizing its own addresses and the addresses it has
           cached for the peers in its routing table as HELLO block
           replies.  Otherwise, if the BTYPE does not indicate a request
           for a HELLO block or ANY, the implementation MUST only
           consider blocks in the local block storage and previously
           cached ResultMessages.

       b)  If the FLAGS field includes the flag FindApproximate, the
           peer SHOULD respond with the closest block (smallest value of
           GetDistance(QUERY_HASH, BLOCK_KEY)) it can find that is not
           filtered by the RESULT_BF.  Otherwise, the peer MUST respond
           with the block with a BLOCK_KEY that matches the QUERY_HASH
           exactly and that is not filtered by the RESULT_BF.

       c)  Any resulting (synthesized) block is encapsulated in a
           ResultMessage.  The ResultMessage SHOULD be transmitted to
           the neighbor from which the request was received.

       Implementations MAY not reply if they are resource-constrained.
       However, ResultMessages MUST be given the highest priority among
       competing transmissions.

       If the BTYPE is supported and ValidateBlockReply for the given
       query has yielded a status of FILTER_LAST, processing MUST end
       and not continue with forwarding of the request to other peers.

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   4.  The implementation SHOULD create (or merge) an entry in the
       pending table Section 6.5 for the query represented by this
       GetMessage.  If the peer is unable to handle an additional entry
       in the table, the message MUST be discarded and processing ends.

   5.  Using the value in REPL_LVL, the number of peers to forward to
       MUST be calculated using ComputeOutDegree().  If there is at
       least one peer to forward to, the implementation SHOULD select up
       to this number of peers to forward the message to.  The
       implementation SHOULD select up to this number of peers to
       forward the message to using the function SelectPeer()
       (Section 6.4) using the QUERY_HASH, HOPCOUNT, an appropriate
       bloom filter (FIXME: Start with PEER_BF?).  The implementation
       MAY forward to fewer or no peers in order to handle resource
       constraints such as bandwidth.  The peer Bloom filter PEER_BF
       MUST be updated with the local peer identity SELF for any
       forwarded message.  For all peers with peer identity P chosen to
       forward the message to, SEND(P, GetMessageP) is called.  Here,
       GetMessageP is the original message with the updated fields for
       HOPCOUNT (incremented by 1), PEER_BF and RESULT_FILTER.

7.5.  ResultMessage

   ResultMessages are used to return information to other peers in the
   DHT or to applications using the overlay API that previously
   initiated a GetMessage.  The initiator of a ResultMessage is a peer
   triggered through the processing of a GetMessage.

7.5.1.  Wire Format

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |   MSIZE   |   MTYPE   |        BTYPE          |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |  RESERVED | VER |FLAGS| PUTPATH_L | GETPATH_L |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                   EXPIRATION                  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                  QUERY_HASH                   /
   /                 (64 byte)                     |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /       TRUNCATED ORIGIN (0 or 32 bytes)        /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /                  PUTPATH                      /
   /                 (variable length)             /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /                  GETPATH                      /
   /                 (variable length)             /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /      LAST HOP SIGNATURE (0 or 64 bytes)       /
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /                  BLOCK                        /
   /                 (variable length)             /
   +-----+-----+-----+-----+-----+-----+-----+-----+

                  Figure 10: The ResultMessage Wire Format

   where:

   MSIZE  denotes the size of this message in network byte order.

   MTYPE  is the 16-bit message type.  Set by the initiator.  Read-only.
      It must be set to the value 148 in network byte order as defined
      in the GANA "GNUnet Message Type" registry Section 11.4.

   BTYPE  is a 32-bit block type field.  The block type indicates the
      content type of the payload.  Set by the initiator.  Read-only.
      In network byte order.

   RESERVED  is a 16-bit value.  Implementations MUST set this value to
      zero when originating a result message.  Implementations MUST
      forward this value unchanged even if it is non-zero.

   VER  is a 8-bit protocol version in network byte order.  Set to zero.
      May be used in future protocol versions.

   FLAGS  is a 8-bit vector with binary options (see Section 7.1.1).
      Set by the initiator.

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   PUTPATH_L  is a 16-bit number indicating the number of path elements
      recorded in PUTPATH.  As PUTPATH is optional, this value may be
      zero even if the message has traversed several peers.  Set by the
      initiator to the PATH_LEN of the PutMessage from which the block
      originated.  Modified by processing peers in case of path
      truncation.  In network byte order.

   GETPATH_L  is a 16-bit number indicating the number of path elements
      recorded in GETPATH.  As GETPATH is optional, this value may be
      zero even if the message has traversed several peers.  Set by the
      initiator to 0.  Modified by processing peers.  In network byte
      order.

   EXPIRATION  denotes the absolute 64-bit expiration date of the
      content.  In microseconds since midnight (0 hour), January 1, 1970
      in network byte order.  Set by the initiator to the expiration
      value as recorded from the PutMessage from which the block
      originated.  Read-only.

   QUERY_HASH  the query hash corresponding to the GetMessage which
      caused this reply message to be sent.  Set by the initiator using
      the value of the GetMessage.  Read-only.

   TRUNCATED ORIGIN  is only provided if the TRUNCATED flag is set in
      FLAGS.  If present, this is the public key of the peer just before
      the first entry on the PUTPATH and the first peer on the PUTPATH
      is not the actual origin of the message.  Thus, to verify the
      first signature on the PUTPATH, this public key must be used.
      Note that due to the truncation, this last hop cannot be verified
      to exist.  Set by processing peers.

   PUTPATH  the variable-length PUT path.  The path consists of a list
      of PUTPATH_L path elements.  Set by the initiator to the the
      PUTPATH of the PutMessage from which the block originated.
      Modified by processing peers in case of path truncation.

   GETPATH  the variable-length PUT path.  The path consists of a list
      of GETPATH_L path elements.  Set by processing peers.

   LAST HOP SIGNATURE  is only provided if the RecordRoute flag is set
      in FLAGS.  If present, this is an EdDSA signature of the sender of
      this message (using the same format as the signatures in PUTPATH)
      affirming that the sender forwarded the message from the
      predecessor (all zeros if PATH_LEN is 0, otherwise the last peer
      in PUTPATH) to the target peer.

   BLOCK  the variable-length resource record data payload.  The

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      contents are defined by the respective type of the resource
      record.  Set by the initiator.  Read-only.

7.5.2.  Processing

   Upon receiving a ResultMessage from a connected peer or triggered by
   the processing of a GetMessage, an implementation MUST process it
   step by step as follows:

   1.  First, the EXPIRATION field is evaluated.  If the message is
       expired, it MUST be discarded.

   2.  If the BTYPE is supported, then the BLOCK MUST be validated
       against the requested BTYPE.  To do this, the peer checks that
       the block is valid using ValidateBlockStoreRequest.  If the
       result is BLOCK_INVALID, the message MUST be discarded.

   3.  If the PUTPATH_L or the GETPATH_L are non-zero, the local peer
       SHOULD verify the signatures from the PUTPATH and the GETPATH.
       Verification MAY involve checking all signatures or any random
       subset of the signatures.  It is RECOMMENDED that peers adapt
       their behavior to available computational resources so as to not
       make signature verification a bottleneck.  If an invalid
       signature is found, the path MUST be truncated to only include
       the elements following the invalid signature.  In particular, any
       invalid signature on the GETPATH will cause PUTPATH_L to be set
       to 0.

   4.  The peer also attempts to compute the key using DeriveBlockKey.
       This may result in NONE.  The result is used later.  Note that
       even if a key was computed, it does not have to match the
       QUERY_HASH.

   5.  If the BTYPE of the message indicates a HELLO block, the peer
       SHOULD be considered for the local routing table by using the
       peer identity computed from the block using DeriveBlockKey.  An
       implementation MAY choose to ignore the HELLO, for example
       because the routing table or the respective k-bucket is already
       full.  If the peer is a suitable candidate for insertion, the
       local peer MUST try to establish a connection to the peer
       indicated in the HELLO block using the address information from
       the HELLO block and the underlay function TRY_CONNECT.  The
       implementation MUST instruct the underlay to connect to all
       provided addresses using TRY_CONNECT in order to make the
       underlay aware of multiple addresses for this connection.  When a
       connection is established, the signal PEER_CONNECTED will cause
       the peer to be added to the respective k-bucket of the routing
       table (Section 6).

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   6.  If the QUERY_HASH of this ResultMessage does not match an entry
       in the pending table (Section 6.5), then the message is discarded
       and processing ends.  Otherwise, processing continues for each
       entry in the table as follows.

       a)  If the FindApproximate flag was not set in the query and the
           BTYPE allowed the implementation to compute the key from the
           block, the computed key must exactly match the QUERY_HASH,
           otherwise the result does not match the pending query and
           processing continues with the next pending query.

       b)  If the BTYPE is supported, result block MUST be validated
           against the specific query using the respective
           FilterBlockResult function.  This function MUST update the
           result filter if a result is returned to the originator of
           the query.

       c)  If the BTYPE is not supported, filtering of exact duplicate
           replies MUST still be performed before forwarding the reply.
           Such duplicate filtering MAY be implemented
           probabilistically, for example using a Bloom filter.  The
           result of this duplicate filtering is always either
           FILTER_MORE or FILTER_DUPLICATE.

       d)  If the RecordRoute flag is set in FLAGS, the local peer
           identity MUST be appended to the GETPATH of the message and
           the respective signature MUST be set using the query origin
           as the PEER SUCCESSOR and the response origin as the PEER
           PREDECESSOR.  If the flag is not set, the GETPATH_L and
           PUTPATH_L MUST be set to zero when forwarding the result.

       e)  If the result filter result is either FILTER_MORE or
           FILTER_LAST, the message is forwarded to the origin of the
           query as defined in the entry which may either be the local
           peer or a remote peer.  In case this is a query of the local
           peer the result may have to be provided to applications
           through the overlay API.  Otherwise, the result is forwarded
           using SEND(P, ResultMessage') where ResultMessage' is the now
           modified message.  If the result was FILTER_LAST, the query
           is removed from the pending table.

   8.  Finally, the implementation SHOULD cache ResultMessages in order
       to provide already seen replies to future GetMessages.  The
       implementation MAY choose not no cache any or a limited number of
       ResultMessages for reasons such as resource limitations.

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8.  Blocks

   This section describes various considerations R^5N implementations
   must consider with respect to blocks.  Specifically, implementations
   SHOULD be able to validate and persist blocks.  Implementations MAY
   not support validation for all types of blocks.  On some devices,
   storing blocks MAY also be impossible due to lack of storage
   capacity.

   Applications can and should define their own block types.  The block
   type determines the format and handling of the block payload by peers
   in PutMessages and ResultMessages.  Block types MUST be registered
   with GANA (see Section 11.1).

8.1.  Block Operations

   Block validation may be necessary for all types of DHT messages.  To
   enable these validations, any block type specification MUST define
   the following functions:

   ValidateBlockQuery(Key, XQuery) -> RequestEvaluationResult  is used
      to evaluate the request for a block as part of GetMessage
      processing.  Here, the block payload is unkown, but if possible
      the XQuery and Key SHOULD be verified.  Possible values for the
      RequestEvaluationResult are:

      REQUEST_VALID  Query is valid.

      REQUEST_INVALID  Query format does not match block type.  For
         example, a mandatory XQuery was not provided, or of the size of
         the XQuery is not appropriate for the block type.

   DeriveBlockKey(Block) -> Key | NONE  is used to synthesize the block
      key from the block payload as part of PutMessage and ResultMessage
      processing.  The special return value of NONE implies that this
      block type does not permit deriving the key from the block.  A Key
      may be returned for a block that is ill-formed.

   ValidateBlockStoreRequest(Block) -> BlockEvaluationResult  is used to
      evaluate a block payload as part of PutMessage and ResultMessage
      processing.  Possible values for the BlockEvaluationResult are:

      BLOCK_VALID  Block is valid.

      BLOCK_INVALID  Block payload does not match the block type.

   SetupResultFilter(FilterSize, Mutator) -> RF  is used to setup an

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      empty result filter.  The arguments are the set of results that
      must be filtered at the initiator, and a MUTATOR value which MAY
      be used to deterministically re-randomize probabilistic data
      structures.  The specification MUST also include the wire format
      for BF.

   FilterResult(Block, Key, RF, XQuery) -> (FilterEvaluationResult,
   RF')  is used to filter results against specific queries.  This
      function does not check the validity of Block itself or that it
      matches the given key, as this must have been checked earlier.
      Thus, locally stored blocks from previously observed
      ResultMessages and PutMessages use this function to perform
      filtering based on the request parameters of a particular GET
      operation.  Possible values for the FilterEvaluationResult are:

      FILTER_MORE  Valid result, and there may be more.

      FILTER_LAST  Last possible valid result.

      FILTER_DUPLICATE  Valid result, but duplicate (was filtered by the
         result filter).

      FILTER_IRRELEVANT  Block does not satisfy the constraints imposed
         by the XQuery.

      If the main evaluation result is FILTER_MORE, the function also
      returns an updated result filter where the block is added to the
      set of filtered replies.  An implementation is not expected to
      actually differenciate between the FILTER_DUPLICATE and
      FILTER_IRRELEVANT return values: in both cases the block is
      ignored for this query.

8.2.  HELLO Blocks

   For bootstrapping and peer discovery, the DHT implementation uses its
   own block type called "HELLO".  HELLO blocks are the only type of
   block that MUST be supported by every R^5N implementation.  A block
   with this block type contains the peer public key of the peer that
   published the HELLO together with a set of addresses of this peer.
   The key of a HELLO block is the SHA-512 of the peer public key and
   thus the peer's identity in the DHT.

   The HELLO block type wire format is illustrated in Figure 11.  A
   query for block of type HELLO MUST NOT include extended query data
   (XQuery).  Any implementation encountering a request for a HELLO with
   non-empty XQuery data MUST consider the request invalid and ignore
   it.

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   0     8     16    24    32    40    48    56
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                    PEER PUBLIC KEY            |
   |                    (32 byte)                  |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                    SIGNATURE                  |
   |                    (64 byte)                  |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   |                                               |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   |                   EXPIRATION                  |
   +-----+-----+-----+-----+-----+-----+-----+-----+
   /                   ADDRESSES                   /
   /               (variable length)               /
   +-----+-----+-----+-----+-----+-----+-----+-----+

                     Figure 11: The HELLO Block Format.

   PEER PUBLIC KEY  is the public key of the peer which has generated
      this HELLO.

   EXPIRATION  denotes the absolute 64-bit expiration date of the
      content.  The value specified is microseconds since midnight (0
      hour), January 1, 1970, but must be a multiple of one million (so
      that it can be represented in seconds in a HELLO URL).  Stored in
      network byte order.

   ADDRESSES  is a list of UTF-8 addresses (Section 2) which can be used
      to contact the peer.  Each address MUST be 0-terminated.  The set
      of addresses MAY be empty.

   SIGNATURE  is the signature of the HELLO.  It covers a 64-bit pseudo
      header derived from the information in the HELLO block.  The
      pseudo header includes the expiration time, a constant that
      uniquely identifies the purpose of the signature, and a hash over
      the addresses.  The wire format is illustrated in Figure 12.

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      0     8     16    24    32    40    48    56
      +-----+-----+-----+-----+-----+-----+-----+-----+
      |         SIZE          |       PURPOSE         |
      +-----+-----+-----+-----+-----+-----+-----+-----+
      |                   EXPIRATION                  |
      +-----+-----+-----+-----+-----+-----+-----+-----+
      |                   H_ADDRS                     |
      |                  (64 byte)                    |
      |                                               |
      |                                               |
      |                                               |
      |                                               |
      |                                               |
      |                                               |
      +-----+-----+-----+-----+-----+-----+-----+-----+

             Figure 12: The Wire Format of the HELLO for Signing.

      SIZE  A 32-bit value containing the length of the signed data in
         bytes in network byte order.  The length of the signed data
         MUST be 80 bytes.

      PURPOSE  A 32-bit signature purpose flag.  This field MUST be 7
         (in network byte order).

      EXPIRATION  denotes the absolute 64-bit expiration date of the
         HELLO.  In microseconds since midnight (0 hour), January 1,
         1970 in network byte order.

      H_ADDRS  a SHA-512 hash over the addresses in the HELLO.  H_ADDRS
         is generated over the ADDRESSES field as provided in the HELLO
         block using SHA-512 [RFC4634].

   The HELLO block functions MUST be implemented as follows:

   ValidateBlockQuery(Key, XQuery) -> RequestEvaluationResult  To
      validate a block query for a HELLO is to simply check that the
      XQuery is empty.  If it is empty, REQUEST_VALID ist returned.
      Otherwise, REQUEST_INVALID.

   DeriveBlockKey(Block) -> Key | NONE  To derive a block key for a
      HELLO is to simply hash the peer public key from the HELLO.  The
      result of this function is always the SHA-512 hash over the PEER
      PUBLIC KEY.

   ValidateBlockStoreRequest(Block) -> BlockEvaluationResult  To

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      validate a block store request is to verify the EdDSA SIGNATURE
      over the hashed ADDRESSES against the public key from the PEER
      PUBLIC KEY field.  If the signature is valid BLOCK_VALID is
      returned.  Otherwise BLOCK_INVALID.

   SetupResultFilter(FilterSize, Mutator) -> RF  The RESULT_FILTER for
      HELLO blocks is implemented using a Bloom filter following the
      definition from Appendix A and consists of a variable number of
      bits L.  L depends on the number of connected peers |E| known to
      the peer creating a HELLO block from its own addresses: L is set
      to the minimum of 2^18 bits (2^15 bytes) and the lowest power of 2
      that is strictly larger than 2*K*|E| bits (K*|E|/4 bytes).

      The k-value for the Bloom filter is 16.  The elements used in the
      Bloom filter consist of an XOR between the H_ADDRS field (as
      computed using SHA-512 over the ADDRESSES) and the SHA-512 hash of
      the MUTATOR field from a given HELLO block.  The mapping function
      M(H_ADDRS XOR MUTATOR) is defined as follows:

      M(e = H_ADDR XOR MUTATOR) -> e as uint32[]

      M is an identity function and returns the 512-bit XOR result
      unmodified.  This resulting byte string is interpreted as k=16
      32-bit integers in network byte order which are used to set and
      check the bits in B using BF-SET and BF-TEST.  The 32-bit Mutator
      is prepended to the L-bit Bloom filter field HELLO_BF containing B
      to create the result filter for a HELLO block:

      0     8     16    24    32    40    48    56
      +-----+-----+-----+-----+-----+-----+-----+-----+
      |        MUTATOR        |  HELLO_BF             /
      +-----+-----+-----+-----+  (variable length)    /
      /                                               /
      +-----+-----+-----+-----+-----+-----+-----+-----+

                  Figure 13: The HELLO Block Result Filter.

      where:

      MUTATOR  The 32-bit mutator for the result filter.

      HELLO_BF  The L-bit Bloom filter array.

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      The MUTATOR value is used to additionally "randomize" the
      computation of the Bloom filter while remaining deterministic
      across peers.  It is only ever set by the peer initiating the GET
      request, and changed every time the GET request is repeated.
      Peers forwarding GET requests MUST not change the mutator value
      included in the RESULT_FILTER as they might not be able to
      recalculate the result filter with a different MUTATOR value.

      Consequently, repeated requests have statistically independent
      probabilities of creating false-positives in a result filter.
      Thus, even if for one request a result filter may exclude a result
      as a false-positive match, subsequent requests are likely to not
      have the same false-positives.

      HELLO result filters can be merged if the Bloom filters have the
      same size and MUTATOR by setting all bits to 1 that are set in
      either Bloom filter.  This is done whenever a peer receives a
      query with the same MUTATOR, predecessor and Bloom filter size.

   FilterResult(Block, Key, RF, XQuery) -> (FilterEvaluationResult,
   RF')  The H_ADDRS field is XORed with the SHA-512 hash of the MUTATOR
      field from the HELLO block and the resulting value is checked
      against the Bloom filter in RF.  Consequently, HELLOs with
      completely identical sets of addresses will be filtered and
      FILTER_DUPLICATE is returned.  Any small variation in the set of
      addresses will cause the block to no longer be filtered (with high
      probability) and FILTER_MORE is returned.

8.3.  Persistence

   An implementation SHOULD provide a local persistence mechanism for
   blocks.  Embedded systems that lack storage capability MAY use
   connection-level signalling to indicate that they are merely a client
   utilizing a DHT and are not able to participate with storage.  The
   local storage MUST provide the following functionality:

   Store(Key, Block)  Stores a block under the specified key.  If an
      block with identical payload exists already under the same key,
      the meta data should be set to the maximum expiration time of both
      blocks and use the corresponding PUTPATH (and if applicable
      TRUNCATED ORIGIN) of that version of the block.

   Lookup(Key) -> List of Blocks  Retrieves blocks stored under the
      specified key.

   LookupApproximate(Key) -> List of Blocks  Retrieves the blocks stored
      under the specified key and any blocks under keys close to the
      specified key, in order of decreasing proximity.

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8.3.1.  Approximate Search Considerations

   Over time a peer may accumulate a significant number of blocks which
   are stored locally in the persistence layer.  Due to the expected
   high number of blocks, the method to retrieve blocks close to the
   specified lookup key in the LookupApproximate API must be implemented
   with care with respect to efficiency.

   It is RECOMMENDED to limit the number of results from the
   LookupApproximate procedure to a result size which is easily
   manageable by the local system.

   In order to efficiently find a suitable result set, the
   implementation SHOULD follow the following procedure:

   1.  Sort all blocks by the block key in ascending (decending) order.
       The block keys are interpreted as integer.

   2.  Alternatingly select a block with a key larger and smaller from
       the sortings.  The resulting set is sorted by XOR distance.  The
       selection process continues until the upper bound for the result
       set is reached and both sortings do not yield any closer blocks.

   An implementation MAY decide to use a custom algorithm in order to
   find the closest blocks in the local storage.  But, especially for
   more primitive approaches, such as only comparing XOR distances for
   all blocks in the storage, the procedure may become ineffective for
   large storages.

8.3.2.  Caching Strategy Considerations

   An implementation MUST implement an eviction strategy for blocks
   stored in the block storage layer.

   In order to ensure the freshness of blocks, an implementation MUST
   evict expired blocks in favor of new blocks.

   An implementation MAY preserve blocks which are often requested.
   This approach can be expensive as it requires the implementation to
   keep track of how often a block is requested.

   An implementation MAY preserve blocks which are close to the local
   peer public key.

   An implementation MAY provide configurable storage quotas and adapt
   its eviction strategy based on the current storage size or other
   constrained resources.

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9.  Security Considerations

   If an upper bound to the maximum number of neighbors in a k-bucket is
   reached, the implementation MUST prefer to preserve the oldest
   working connections instead of new connections.  This makes Sybil
   attacks less effective as an adversary would have to invest more
   resources over time to mount an effective attack.

   The ComputeOutDegree function limits the REPL_LVL to a maximum of 16.
   This imposes an upper limit on bandwidth amplification an attacker
   may achieve for a given network size and topology.

9.1.  Disjoint Underlay or Application Protocol Support

   We note that peers implementing disjoint sets of underlay protocols
   may experience difficulties communicating (unless other peers bridge
   the respective underlays).  Similarly, peers that do not support a
   particular application will not be able to validate application-
   specific payloads and may thus be tricked into storing or forwarding
   corrupt blocks.

9.2.  Approximate Result Filtering

   When a FindApproximate request is encountered, a peer will try to
   respond with the closest block it has that is not filtered by the
   result Bloom filter.  Implementations MUST ensure that the cost of
   evaluating any such query is reasonably small.  For example,
   implementations MAY consider to avoid an exhaustive search of their
   database.  Not doing so can lead to denial of service attacks as
   there could be cases where too many local results are filtered by the
   result filter.

9.3.  Access Control

   By design R^5N does not rely on strict admission control through the
   use of either centralized enrollment servers or pre-shared keys.
   This is a key distintion over protocols that do rely on this kind of
   access control such as [RFC6940] which, like R^5N, provides a peer-
   to-peer (P2P) signaling protocol with extensible routing and topology
   mechanisms.  Some decentralized applications, such as the GNU Name
   System ([RFC9498]), require an open system that enables ad-hoc
   participation.

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10.  IANA Considerations

   IANA maintains a registry called the "Uniform Resource Identifier
   (URI) Schemes" registry.  The registry should be updated to include
   an entry for the 'gnunet' URI scheme.  IANA is requested to update
   that entry to reference this document when published as an RFC.

11.  GANA Considerations

11.1.  Block Type Registry

   GANA [GANA] is requested to create a "DHT Block Types" registry.  The
   registry shall record for each entry:

   *  Name: The name of the block type (case-insensitive ASCII string,
      restricted to alphanumeric characters

   *  Number: 32-bit

   *  Comment: Optionally, a brief English text describing the purpose
      of the block type (in UTF-8)

   *  Contact: Optionally, the contact information of a person to
      contact for further information

   *  References: Required, references (such as an RFC) specifying the
      block type and its block functions

   The registration policy for this sub-registry is "First Come First
   Served", as described in [RFC8126].  GANA created the registry as
   follows:

   Number| Name           | References | Description
   ------+----------------+------------+-------------------------
   0       ANY              [This.I-D]   Reserved
   13      DHT_HELLO        [This.I-D]   Address data for a peer

   Contact: r5n-registry@gnunet.org

                    Figure 14: The Block Type Registry.

11.2.  GNUnet URI Schema Subregistry

   GANA [GANA] is requested to create a "gnunet://" sub-registry.  The
   registry shall record for each entry:

   *  Name: The name of the subsystem (case-insensitive ASCII string,
      restricted to alphanumeric characters)

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   *  Comment: Optionally, a brief English text describing the purpose
      of the subsystem (in UTF-8)

   *  Contact: Optionally, the contact information of a person to
      contact for further information

   *  References: Optionally, references describing the syntax of the
      URL (such as an RFC or LSD)

   The registration policy for this sub-registry is "First Come First
   Served", as described in [RFC8126].  GANA created this registry as
   follows:

   Name           | References | Description
   ---------------+------------+-------------------------
   HELLO            [This.I-D]   How to contact a peer.
   ADDRESS          N/A          Network address.
   Contact: gnunet-registry@gnunet.org

                   Figure 15: GNUnet scheme Subregistry.

11.3.  GNUnet Signature Purpose Registry

   GANA amended the "GNUnet Signature Purpose" registry as follows:

   Purpose | Name            | References | Description
   --------+-----------------+------------+---------------
   6         DHT PATH ELEMENT  [This.I-D]   DHT message routing data
   7         HELLO PAYLOAD     [This.I-D]   Peer contact information

             Figure 16: The Signature Purpose Registry Entries.

11.4.  GNUnet Message Type Registry

   GANA is requested to amend the "GNUnet Message Type" registry as
   follows:

   Type    | Name            | References | Description
   --------+-----------------+------------+---------------
   146       DHT PUT          [This.I-D]    Store information in DHT
   147       DHT GET          [This.I-D]    Request information from DHT
   148       DHT RESULT       [This.I-D]    Return information from DHT
   157       HELLO Message    [This.I-D]    Peer contact information

               Figure 17: The Message Type Registry Entries.

12.  Test Vectors

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13.  Normative References

   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <https://www.rfc-editor.org/info/rfc2119>.

   [RFC3629]  Yergeau, F., "UTF-8, a transformation format of ISO
              10646", STD 63, RFC 3629, DOI 10.17487/RFC3629, November
              2003, <https://www.rfc-editor.org/info/rfc3629>.

   [RFC3986]  Berners-Lee, T., Fielding, R., and L. Masinter, "Uniform
              Resource Identifier (URI): Generic Syntax", STD 66,
              RFC 3986, DOI 10.17487/RFC3986, January 2005,
              <https://www.rfc-editor.org/info/rfc3986>.

   [RFC4634]  Eastlake 3rd, D. and T. Hansen, "US Secure Hash Algorithms
              (SHA and HMAC-SHA)", RFC 4634, DOI 10.17487/RFC4634, July
              2006, <https://www.rfc-editor.org/info/rfc4634>.

   [RFC5234]  Crocker, D., Ed. and P. Overell, "Augmented BNF for Syntax
              Specifications: ABNF", STD 68, RFC 5234,
              DOI 10.17487/RFC5234, January 2008,
              <https://www.rfc-editor.org/info/rfc5234>.

   [RFC6940]  Jennings, C., Lowekamp, B., Ed., Rescorla, E., Baset, S.,
              and H. Schulzrinne, "REsource LOcation And Discovery
              (RELOAD) Base Protocol", RFC 6940, DOI 10.17487/RFC6940,
              January 2014, <https://www.rfc-editor.org/info/rfc6940>.

   [RFC8126]  Cotton, M., Leiba, B., and T. Narten, "Guidelines for
              Writing an IANA Considerations Section in RFCs", BCP 26,
              RFC 8126, DOI 10.17487/RFC8126, June 2017,
              <https://www.rfc-editor.org/info/rfc8126>.

   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/info/rfc8174>.

   [RFC8324]  Klensin, J., "DNS Privacy, Authorization, Special Uses,
              Encoding, Characters, Matching, and Root Structure: Time
              for Another Look?", RFC 8324, DOI 10.17487/RFC8324,
              February 2018, <https://www.rfc-editor.org/info/rfc8324>.

   [RFC9498]  Schanzenbach, M., Grothoff, C., and B. Fix, "The GNU Name
              System", RFC 9498, DOI 10.17487/RFC9498, November 2023,
              <https://www.rfc-editor.org/info/rfc9498>.

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   [ed25519]  Bernstein, D., Duif, N., Lange, T., Schwabe, P., and B.
              Yang, "High-Speed High-Security Signatures", 2011,
              <http://link.springer.com/
              chapter/10.1007/978-3-642-23951-9_9>.

   [GANA]     GNUnet e.V., "GNUnet Assigned Numbers Authority (GANA)",
              April 2020, <https://gana.gnunet.org/>.

14.  Informative References

   [R5N]      Evans, N. S. and C. Grothoff, "R5N: Randomized recursive
              routing for restricted-route networks", 2011,
              <https://doi.org/10.1109/ICNSS.2011.6060022>.

   [Kademlia] Maymounkov, P. and D. Mazieres, "Kademlia: A peer-to-peer
              information system based on the xor metric.", 2002,
              <http://css.csail.mit.edu/6.824/2014/papers/kademlia.pdf>.

   [cadet]    Polot, B. and C. Grothoff, "CADET: Confidential ad-hoc
              decentralized end-to-end transport", 2014,
              <https://doi.org/10.1109/MedHocNet.2014.6849107>.

Appendix A.  Bloom filters in R^5N

   R^5N uses Bloom filters in several places.  This section gives some
   general background on Bloom filters and defines functions on this
   data structure shared by the various use-cases in R^5N.

   A Bloom filter (BF) is a space-efficient probabilistic datastructure
   to test if an element is part of a set of elements.  Elements are
   identified by an element ID.  Since a BF is a probabilistic
   datastructure, it is possible to have false-positives: when asked if
   an element is in the set, the answer from a BF is either "no" or
   "maybe".

   Bloom filters are defined as a string of L bits.  The bits are
   initially always empty, meaning that the bits are set to zero.  There
   are two functions which can be invoked on the Bloom filter "bf": BF-
   SET(bf, e) and BF-TEST(bf, e) where "e" is an element that is to be
   added to the Bloom filter or queried against the set.

   A mapping function M is used to map each ID of each element from the
   set to a subset of k bits.  In the original proposal by Bloom, M is
   non-injective and can thus map the same element multiple times to the
   same bit.  The type of the mapping function can thus be described by
   the following mathematical notation:

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           ------------------------------------
           # M: E->B^k
           ------------------------------------
           # L = Number of bits
           # B = 0,1,2,3,4,...L-1 (the bits)
           # k = Number of bits per element
           # E = Set of elements
           ------------------------------------
           Example: L=256, k=3
           M('element-data') = {4,6,255}

                 Figure 18: Bloom filter mapping function.

   When adding an element to the Bloom filter bf using BF-SET(bf,e),
   each integer n of the mapping M(e) is interpreted as a bit offset n
   mod L within bf and set to 1.

   When testing if an element may be in the Bloom filter bf using BF-
   TEST(bf,e), each bit offset n mod L within bf MUST have been set to
   1.  Otherwise, the element is not considered to be in the Bloom
   filter.

Appendix B.  Overlay Operations

   An implementation of this specification commonly exposes the two
   overlay operations "GET" and "PUT".  The following are non-normative
   examples of APIs for those operations.  Their behaviour is described
   prosaically in order to give implementers a fuller picture of the
   protocol.

B.1.  GET operation

   A basic GET operation interface may be exposed as:

   GET(Query-Key, Block-Type) -> Results as List

   The procedure typically takes at least two arguments to initiate a
   lookup:

   QueryKey:  is the 512-bit key to look for in the DHT.

   Block-Type:  is the type of block to look for, possibly "any".

   The GET procedure may allow a set of optional parameters in order to
   control or modify the query:

   Replication-Level:  is an integer which controls how many nearest

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      peers the request should reach.

   Flags:  is a 16-bit vector which indicates certain processing
      requirements for messages.  Any combination of flags as defined in
      Section 7.1.1 may be specified.

   eXtended-Query (XQuery):  is medatadata which may be required
      depending on the respective Block-Type.  A Block-Type must define
      if the XQuery can or must be used and what the specific format of
      its contents should be.  Extended queries are in general used to
      implement domain-specific filters.  These might be particularly
      useful in combination with FindApproximate to add a well-defined
      filter by an application-specific distance.  Regardless, the DHT
      does not define any particular semantics for an XQuery.  See also
      Section 8.

   Result-Filter:  is data for a Block-type-specific filter which allows
      applications to indicate results which are not relevant anymore to
      the caller (see Section 7.4.2).

   The GET procedure should be implemented as an asynchronous operation
   that returns individual results as they are found in the DHT.  It
   should terminate only once the application explicitly cancels the
   operation.  A single result commonly consists of:

   Block-Type:  is the desired type of block in the result.

   Block-Data:  is the application-specific block payload.  Contents are
      specific to the Block-Type.

   Block-Expiration:  is the expiration time of the block.  After this
      time, the result should no longer be used.

   Key:  is the key under which the block was stored.  This may be
      different from the key that was queried if the flag
      FindApproximate was set.

   GET-Path:  is a signed path of the public keys of peers which the
      query traversed through the network.  The DHT will try to make the
      path available if the RecordRoute flag was set by the application
      calling the PUT procedure.  The reported path may have been
      silently truncated from the beginning.

   PUT-Path:  is a signed path of the public keys of peers which the

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      result message traversed.  The DHT will try to make the path
      available if the RecordRoute flag was set for the GET procedure.
      The reported path may have been silently truncated from the
      beginning.  As the block was cached by the node at the end of this
      path, this path is more likely to be stale compared to the GET-
      Path.

B.2.  PUT operation

   A PUT operation interface may be exposed as:

   PUT(Key, Block-Type, Block-Expiration, Block-Data)

   The procedure typically takes at least four parameters:

   Key:  is the key under which to store the block.

   Block-Type:  is the type of the block to store.

   Block-Expiration:  specifies when the block should expire.

   Block-Data:  is the application-specific payload of the block to
      store.

   The PUT procedure may allow a set of optional parameters in order to
   control or modify the query:

   Replication-Level:  is an integer which controls how many nearest
      peers the request should reach.

   Flags:  is a bit-vector which indicates certain processing
      requirements for messages.  Any combination of flags as defined in
      Section 7.1.1 may be specified.

   The PUT procedure does not necessarily yield any information.

Appendix C.  HELLO URLs

   The general format of a HELLO URL uses "gnunet://" as the scheme,
   followed by "hello/" for the name of the GNUnet subsystem, followed
   by "/"-separated values with the GNS Base32 encoding ([RFC9498]) of
   the peer public key, a Base32-encoded EdDSA signature, and an
   expiration time in seconds since the UNIX Epoch in decimal format.
   After this a "?" begins a list of key-value pairs where the key is
   the URI scheme of one of the peer's addresses and the value is the
   URL-escaped payload of the address URI without the "://".

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   The general syntax of HELLO URLs specified using Augmented Backus-
   Naur Form (ABNF) of [RFC5234] is:

   hello-URL = "gnunet://hello[:version]/" meta [ "?" addrs ]
   version = *(DIGIT)
   meta = pid "/" sig "/" exp
   pid = *bchar
   sig = *bchar
   exp = *DIGIT
   addrs = addr *( "&" addr )
   addr = addr-name "=" addr-value
   addr-name = scheme
   addr-value = *pchar
   bchar = *(ALPHA / DIGIT)

                                 Figure 19

   'scheme' is defined in [RFC3986] in Section 3.1.  'pchar' is defined
   in [RFC3986], Appendix A.

   For example, consider the following URL:

             gnunet://hello/1MVZC83SFHXMADVJ5F4
             S7BSM7CCGFNVJ1SMQPGW9Z7ZQBZ689ECG/
             CFJD9SY1NY5VM9X8RC5G2X2TAA7BCVCE16
             726H4JEGTAEB26JNCZKDHBPSN5JD3D60J5
             GJMHFJ5YGRGY4EYBP0E2FJJ3KFEYN6HYM0G/
             1708333757?foo=example.com&bar+baz=1.2.3.4%3A5678%2Ffoo

                                 Figure 20

   It specifies that the peer with the _pid_ "1MVZ..." is reachable via
   "foo" at "example.com" and "bar+baz" at "1.2.3.4" on port 5678 until
   1708333757 seconds after the Epoch.  Note that "foo" and "bar+baz"
   here are underspecified and just used as a simple example.  In
   practice, the _addr-name_ refers to a scheme supported by a DHT
   underlay.

Authors' Addresses

   Martin Schanzenbach
   Fraunhofer AISEC
   Lichtenbergstrasse 11
   85748 Garching
   Germany
   Email: martin.schanzenbach@aisec.fraunhofer.de

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   Christian Grothoff
   Berner Fachhochschule
   Hoeheweg 80
   CH-2501 Biel/Bienne
   Switzerland
   Email: grothoff@gnunet.org

   Bernd Fix
   GNUnet e.V.
   Boltzmannstrasse 3
   85748 Garching
   Germany
   Email: fix@gnunet.org

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