pith. sign in
Pith Number

pith:OMKYLPVX

pith:2008:OMKYLPVXFI3OJ4UY2R6ED2MCQK
not attested not anchored not stored refs pending

Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations

Jens Christian Claussen

arxiv:0803.2443 v1 · 2008-03-17 · q-bio.PE · cond-mat.stat-mech · cs.SI · math.PR · math.ST · physics.bio-ph · physics.soc-ph · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OMKYLPVXFI3OJ4UY2R6ED2MCQK}

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 2026-05-17T23:40:50.242286Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

731585beb72a36e4f298d47c41e982828fe6125d0fee80ed0d0a6ee70bf67322

Aliases

arxiv: 0803.2443 · arxiv_version: 0803.2443v1 · doi: 10.48550/arxiv.0803.2443 · pith_short_12: OMKYLPVXFI3O · pith_short_16: OMKYLPVXFI3OJ4UY · pith_short_8: OMKYLPVX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OMKYLPVXFI3OJ4UY2R6ED2MCQK \
  | 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: 731585beb72a36e4f298d47c41e982828fe6125d0fee80ed0d0a6ee70bf67322
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5517161fd1086ed06d62d2b70db5a3038fc786acec8d7ca2c7b46fc3155506b1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "math.PR",
      "math.ST",
      "physics.bio-ph",
      "physics.soc-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2008-03-17T13:33:00Z",
    "title_canon_sha256": "fe3e5d4a82882a7b3979060ca0a958785e5c2ba9e89998d0a0d6a24170ee887a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2443",
    "kind": "arxiv",
    "version": 1
  }
}