Pith Number

pith:JVTAFDV7

pith:2015:JVTAFDV7F34GS67VDMMEZSSL3V

not attested not anchored not stored refs pending

Evolutionary Games on the Torus with Weak Selection

J.T. Cox, Rick Durrett

arxiv:1511.04713 v1 · 2015-11-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVTAFDV7F34GS67VDMMEZSSL3V}

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	2026-05-18T01:26:51.927526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d66028ebf2ef8697bf51b184cca4bdd4f9e7bec6dfcc113e2ba4378fc3d4651

Aliases

arxiv: 1511.04713 · arxiv_version: 1511.04713v1 · doi: 10.48550/arxiv.1511.04713 · pith_short_12: JVTAFDV7F34G · pith_short_16: JVTAFDV7F34GS67V · pith_short_8: JVTAFDV7

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/JVTAFDV7F34GS67VDMMEZSSL3V \
  | 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: 4d66028ebf2ef8697bf51b184cca4bdd4f9e7bec6dfcc113e2ba4378fc3d4651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c012e3963652fe36542b97ae1d41c5617d1112d6bf0cd41f74315e708c3c80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-15T15:30:07Z",
    "title_canon_sha256": "a4fb3078bdbd28c92f8940dbdb559ffa1e698c6ff7683eb9f7ceeccab93dbb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04713",
    "kind": "arxiv",
    "version": 1
  }
}