pith. sign in
Pith Number

pith:PI2FD5YJ

pith:2012:PI2FD5YJ3BZ4RC3GEE32S55VLI
not attested not anchored not stored refs pending

Stochastic dynamics of the prisoner's dilemma with cooperation facilitators

Mauro Mobilia

arxiv:1207.2072 v2 · 2012-07-09 · q-bio.PE · cond-mat.stat-mech · nlin.AO · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PI2FD5YJ3BZ4RC3GEE32S55VLI}

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 2026-05-18T03:49:45.323575Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a3451f709d873c88b662137a977b55a0ff82576dcacdcc3a62ab15988e8df71

Aliases

arxiv: 1207.2072 · arxiv_version: 1207.2072v2 · doi: 10.48550/arxiv.1207.2072 · pith_short_12: PI2FD5YJ3BZ4 · pith_short_16: PI2FD5YJ3BZ4RC3G · pith_short_8: PI2FD5YJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PI2FD5YJ3BZ4RC3GEE32S55VLI \
  | 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: 7a3451f709d873c88b662137a977b55a0ff82576dcacdcc3a62ab15988e8df71
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa1d7e47be79034ee5c2c5d7e88a3f5d25e68977064d73a0aa40d27c85cb2780",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.AO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-07-09T15:09:09Z",
    "title_canon_sha256": "8213e4bd81288cecf738ef64eb02bf0aca045e0726f6f9d514937620adeb31bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2072",
    "kind": "arxiv",
    "version": 2
  }
}