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Pith Number

pith:I35QI3R4

pith:2013:I35QI3R4KPRXMQU4BTQU2J5WWI
not attested not anchored not stored refs pending

Environment-dependent payoffs in finite populations

Guangming Xie, Weihong Xu, Yanling Zhang

arxiv:1312.3861 v1 · 2013-12-12 · q-bio.PE · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I35QI3R4KPRXMQU4BTQU2J5WWI}

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 2026-05-18T03:04:47.325956Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

46fb046e3c53e376429c0ce14d27b6b217c2c799dd34120cf375bb5dfddb4554

Aliases

arxiv: 1312.3861 · arxiv_version: 1312.3861v1 · doi: 10.48550/arxiv.1312.3861 · pith_short_12: I35QI3R4KPRX · pith_short_16: I35QI3R4KPRXMQU4 · pith_short_8: I35QI3R4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I35QI3R4KPRXMQU4BTQU2J5WWI \
  | 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: 46fb046e3c53e376429c0ce14d27b6b217c2c799dd34120cf375bb5dfddb4554
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25564b22115ca223b25af90c89e558e95bb9fa3524b4ce10961678c10c7b2980",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-12-12T04:22:52Z",
    "title_canon_sha256": "bf74b9d2253ee0032f6c5ae185d782351825553e9411a8cb8fe059c19f9d3e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3861",
    "kind": "arxiv",
    "version": 1
  }
}