Pith Number

pith:3I2K2KBR

pith:2015:3I2K2KBRCNQPQOP4P7GNW55YVU

not attested not anchored not stored refs pending

Evolutionary Dynamics for Persistent Cooperation in Structured Populations

Jens Christian Claussen, Wanlin Guo, Xinsheng Liu, Yan Li

arxiv:1505.04989 v1 · 2015-05-19 · q-bio.PE · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I2K2KBRCNQPQOP4P7GNW55YVU}

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	2026-05-17T23:40:50.151582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da34ad28311360f839fc7fccdb77b8ad074f0c374db05af61c0aac4686f84917

Aliases

arxiv: 1505.04989 · arxiv_version: 1505.04989v1 · doi: 10.48550/arxiv.1505.04989 · pith_short_12: 3I2K2KBRCNQP · pith_short_16: 3I2K2KBRCNQPQOP4 · pith_short_8: 3I2K2KBR

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/3I2K2KBRCNQPQOP4P7GNW55YVU \
  | 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: da34ad28311360f839fc7fccdb77b8ad074f0c374db05af61c0aac4686f84917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13fb7e765d2190a329feff08c58e447583b0dc7efd6c88e46e56cf70163a31a1",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-05-19T13:29:34Z",
    "title_canon_sha256": "7feab23809da4e2bf5646346c2b52355245556bde82fb8d334636038b3295435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04989",
    "kind": "arxiv",
    "version": 1
  }
}