Pith Number

pith:MKVJH4VA

pith:2008:MKVJH4VAYXJADBFFCWYQAID6ZP

not attested not anchored not stored refs pending

A Distributed Merge and Split Algorithm for Fair Cooperation in Wireless Networks

Are Hj{\o}rungnes, Merouane Debbah, Walid Saad, Zhu Han

arxiv:0802.2159 v1 · 2008-02-15 · cs.IT · cs.GT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKVJH4VAYXJADBFFCWYQAID6ZP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:58:48.673331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62aa93f2a0c5d20184a515b100207ecbceaad840d4a59f97a0f2a0b5eaa39a8f

Aliases

arxiv: 0802.2159 · arxiv_version: 0802.2159v1 · doi: 10.48550/arxiv.0802.2159 · pith_short_12: MKVJH4VAYXJA · pith_short_16: MKVJH4VAYXJADBFF · pith_short_8: MKVJH4VA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MKVJH4VAYXJADBFFCWYQAID6ZP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 62aa93f2a0c5d20184a515b100207ecbceaad840d4a59f97a0f2a0b5eaa39a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8369882453446ab5cc77f829404c921f10ee68904a28a7f445175a5e5c4132",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-02-15T09:14:56Z",
    "title_canon_sha256": "1b9d69296212cf303842308155a2e2c2e1e4e76c48b021c397210b9140fb6780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2159",
    "kind": "arxiv",
    "version": 1
  }
}