Pith Number

pith:JOMOM4LJ

pith:2015:JOMOM4LJ5LTTWEGCM7RSBSR2PH

not attested not anchored not stored refs pending

Analysis of the expected density of internal equilibria in random evolutionary multi-player multi-strategy games

Manh Hong Duong, The Anh Han

arxiv:1505.04676 v3 · 2015-05-18 · math.AP · math.DS · math.PR · q-bio.PE · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOMOM4LJ5LTTWEGCM7RSBSR2PH}

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	2026-05-18T01:18:14.615196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b98e67169eae73b10c267e320ca3a79ff231b500384137cabeb5c8f95978368

Aliases

arxiv: 1505.04676 · arxiv_version: 1505.04676v3 · doi: 10.48550/arxiv.1505.04676 · pith_short_12: JOMOM4LJ5LTT · pith_short_16: JOMOM4LJ5LTTWEGC · pith_short_8: JOMOM4LJ

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/JOMOM4LJ5LTTWEGCM7RSBSR2PH \
  | 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: 4b98e67169eae73b10c267e320ca3a79ff231b500384137cabeb5c8f95978368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5132e51529f4aeea06daec05d1cccac2c99447c2b23e86c15bf3a9278015b6",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "q-bio.PE",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-18T15:15:33Z",
    "title_canon_sha256": "72dbf2904df951ba5ee914d4a2bfd004bffbabb75a29643c7fcefbb9c1d2e297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04676",
    "kind": "arxiv",
    "version": 3
  }
}