Pith Number

pith:WD7OCXOP

pith:2015:WD7OCXOPNT6ERGX54PTVNRMOSC

not attested not anchored not stored refs pending

Overlapping Coalition Formation Games for Emerging Communication Networks

Lingyang Song, Tianyu Wang, Walid Saad, Zhu Han

arxiv:1509.00069 v1 · 2015-08-31 · cs.GT · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD7OCXOPNT6ERGX54PTVNRMOSC}

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	2026-05-18T01:34:30.691270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fee15dcf6cfc489afde3e756c58e9096ad21bc0380b2c6016165d033c4d405

Aliases

arxiv: 1509.00069 · arxiv_version: 1509.00069v1 · doi: 10.48550/arxiv.1509.00069 · pith_short_12: WD7OCXOPNT6E · pith_short_16: WD7OCXOPNT6ERGX5 · pith_short_8: WD7OCXOP

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/WD7OCXOPNT6ERGX54PTVNRMOSC \
  | 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: b0fee15dcf6cfc489afde3e756c58e9096ad21bc0380b2c6016165d033c4d405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f258ca704d5f7c09d8e9d1aa441f94915f0a8b3538a1d28e2fbaa39f463d8c54",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-08-31T21:04:15Z",
    "title_canon_sha256": "5c2d017fbe0d7064033fd433f958afe565ff035c1604e6e51f7cc178a6b886c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00069",
    "kind": "arxiv",
    "version": 1
  }
}