Pith Number

pith:NA6M7IBV

pith:2009:NA6M7IBVGLTMVBCPXDSYP2LDZX

not attested not anchored not stored refs pending

Coalitional Game Theory for Communication Networks: A Tutorial

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

arxiv:0905.4057 v1 · 2009-05-25 · 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{NA6M7IBVGLTMVBCPXDSYP2LDZX}

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	2026-05-18T02:13:37.674985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683ccfa03532e6ca844fb8e587e963cdd2c6a55f8f47196d84edc421ffbd6596

Aliases

arxiv: 0905.4057 · arxiv_version: 0905.4057v1 · doi: 10.48550/arxiv.0905.4057 · pith_short_12: NA6M7IBVGLTM · pith_short_16: NA6M7IBVGLTMVBCP · pith_short_8: NA6M7IBV

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/NA6M7IBVGLTMVBCPXDSYP2LDZX \
  | 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: 683ccfa03532e6ca844fb8e587e963cdd2c6a55f8f47196d84edc421ffbd6596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7832e2097f96dfe6a8dfcf812b18beff388a4f9600ab4a002ea1b6d9cbefed52",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-05-25T18:50:02Z",
    "title_canon_sha256": "2fce44b61f53a297ceb9e9a805987c605c0514b526fa6e2de5b777a2cf157c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4057",
    "kind": "arxiv",
    "version": 1
  }
}