Pith Number

pith:4VRWJNQY

pith:2011:4VRWJNQYUM4YXGGTDYIUKHVVCR

not attested not anchored not stored refs pending

Resolution of the stochastic strategy spatial prisoner's dilemma by means of particle swarm optimization

Chunyan Zhang, Jianlei Zhang, Matjaz Perc, Tianguang Chu

arxiv:1112.6417 v1 · 2011-12-29 · physics.soc-ph · nlin.AO · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VRWJNQYUM4YXGGTDYIUKHVVCR}

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	2026-05-18T04:05:28.535990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56364b618a3398b98d31e11451eb5147f317d771b92bc739acbbeca895ba9ef

Aliases

arxiv: 1112.6417 · arxiv_version: 1112.6417v1 · doi: 10.48550/arxiv.1112.6417 · pith_short_12: 4VRWJNQYUM4Y · pith_short_16: 4VRWJNQYUM4YXGGT · pith_short_8: 4VRWJNQY

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/4VRWJNQYUM4YXGGTDYIUKHVVCR \
  | 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: e56364b618a3398b98d31e11451eb5147f317d771b92bc739acbbeca895ba9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e105f785a6dbc3caf75d4951c251c5cfa115cbfcc1ab4e21e89a07ede8993f0",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-12-29T20:43:42Z",
    "title_canon_sha256": "f05a2dd7b44efd48f3807a339a804ee9e6d9e0f6be9b79b74b355388b5c81340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6417",
    "kind": "arxiv",
    "version": 1
  }
}