pith. sign in
Pith Number

pith:5TVEYKYJ

pith:2012:5TVEYKYJOCVJOU5EYX5WHYFJBZ
not attested not anchored not stored refs pending

Intransitivity and coexistence in four species cyclic games

Alessandra F. L\"utz, Jeferson J. Arenzon, Sebasti\'an Risau-Gusman

arxiv:1205.6411 v2 · 2012-05-29 · q-bio.PE · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5TVEYKYJOCVJOU5EYX5WHYFJBZ}

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 2026-05-18T03:33:25.966422Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ecea4c2b0970aa9753a4c5fb63e0a90e5489246ab8c661e55208c9ec638d9eac

Aliases

arxiv: 1205.6411 · arxiv_version: 1205.6411v2 · doi: 10.48550/arxiv.1205.6411 · pith_short_12: 5TVEYKYJOCVJ · pith_short_16: 5TVEYKYJOCVJOU5E · pith_short_8: 5TVEYKYJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5TVEYKYJOCVJOU5EYX5WHYFJBZ \
  | 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: ecea4c2b0970aa9753a4c5fb63e0a90e5489246ab8c661e55208c9ec638d9eac
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "401193a9d8a8abfbaa00788f62308fdeec4f0bbab51b0963ce864bae3293812f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-05-29T16:25:17Z",
    "title_canon_sha256": "aae80b397dc96157fb62ea45d0b9d7df1e92d99518856709cb265dc8a3073dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6411",
    "kind": "arxiv",
    "version": 2
  }
}