Pith Number

pith:X63XNGR7

pith:2012:X63XNGR7X5UMTNKQOWSAF7XXUU

not attested not anchored not stored refs pending

On the coexistence of cooperators, defectors and conditional cooperators in the multiplayer iterated Prisoner's Dilemma

Angel S\'anchez, Jelena Gruji\'c, Jos\'e A. Cuesta

arxiv:1202.0187 v1 · 2012-02-01 · q-bio.PE · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X63XNGR7X5UMTNKQOWSAF7XXUU}

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	2026-05-18T02:26:59.195369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb7769a3fbf68c9b55075a402fef7a534c2091308b93e1ada2ad74f51485f94

Aliases

arxiv: 1202.0187 · arxiv_version: 1202.0187v1 · doi: 10.48550/arxiv.1202.0187 · pith_short_12: X63XNGR7X5UM · pith_short_16: X63XNGR7X5UMTNKQ · pith_short_8: X63XNGR7

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/X63XNGR7X5UMTNKQOWSAF7XXUU \
  | 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: bfb7769a3fbf68c9b55075a402fef7a534c2091308b93e1ada2ad74f51485f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1c169822621eb1e0ca9b4d25b03146485234dffe9537eec850d22704deb9ef",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-02-01T15:22:21Z",
    "title_canon_sha256": "5e8bf6839838aca28e45def79c2131da6db4186e5a28be1209c0de4d41c02ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0187",
    "kind": "arxiv",
    "version": 1
  }
}