Pith Number

pith:GSDNKX5O

pith:2022:GSDNKX5OGGEKHLFWMLEX5QFZY6

not attested not anchored not stored refs pending

The path integral formula for the stochastic evolutionary game dynamics in the Moran process

Chao Wang

arxiv:2209.01060 v1 · 2022-09-02 · q-bio.PE · math-ph · math.MP · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSDNKX5OGGEKHLFWMLEX5QFZY6}

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	2026-07-05T04:54:07.975334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3486d55fae3188a3acb662c97ec0b9c7bd6cabe20ff6f7df17c96a57537da10a

Aliases

arxiv: 2209.01060 · arxiv_version: 2209.01060v1 · doi: 10.48550/arxiv.2209.01060 · pith_short_12: GSDNKX5OGGEK · pith_short_16: GSDNKX5OGGEKHLFW · pith_short_8: GSDNKX5O

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/GSDNKX5OGGEKHLFWMLEX5QFZY6 \
  | 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: 3486d55fae3188a3acb662c97ec0b9c7bd6cabe20ff6f7df17c96a57537da10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82aa75357ca63f299a4e0bd2ad63e2b13a2c09fc4522a2b5d16d54089c342ad5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2022-09-02T13:52:20Z",
    "title_canon_sha256": "88e9d5d91d2522f6758d06f8dc690bcf6ee28b93caa4d7b9efb5a5a1a52ee9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01060",
    "kind": "arxiv",
    "version": 1
  }
}