pith. sign in
Pith Number

pith:J6EYMOV2

pith:2011:J6EYMOV2HD3TPJOG72KVPAHXL4
not attested not anchored not stored refs pending

Strategy abundance in evolutionary many-player games with multiple strategies

Arne Traulsen, Chaitanya S. Gokhale

arxiv:1106.4049 v1 · 2011-06-20 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J6EYMOV2HD3TPJOG72KVPAHXL4}

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 2026-05-18T04:19:40.830290Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4f89863aba38f737a5c6fe955780f75f31de98553fadc4f21be903191c5bd3cc

Aliases

arxiv: 1106.4049 · arxiv_version: 1106.4049v1 · doi: 10.48550/arxiv.1106.4049 · pith_short_12: J6EYMOV2HD3T · pith_short_16: J6EYMOV2HD3TPJOG · pith_short_8: J6EYMOV2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J6EYMOV2HD3TPJOG72KVPAHXL4 \
  | 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: 4f89863aba38f737a5c6fe955780f75f31de98553fadc4f21be903191c5bd3cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "96f10b687965f366b4fddc32587d7fe8c9f3b6a42f7a7d1582a902686aeb1bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-06-20T21:23:26Z",
    "title_canon_sha256": "f740aba73664c3903caef54376b8955021725a5376c6377e40760f263f55d842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4049",
    "kind": "arxiv",
    "version": 1
  }
}