Pith Number

pith:XXOUII2S

pith:2017:XXOUII2SQGEGWP6EVAGKQ6TN5V

not attested not anchored not stored refs pending

A large-population limit for a Markovian model of group-structured populations

A. Puhalskii, B. Simon

arxiv:1712.09119 v4 · 2017-12-25 · 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{XXOUII2SQGEGWP6EVAGKQ6TN5V}

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	2026-05-17T23:52:55.814431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bddd44235281886b3fc4a80ca87a6ded6c435b4f55b5953ff2b1063b0893f951

Aliases

arxiv: 1712.09119 · arxiv_version: 1712.09119v4 · doi: 10.48550/arxiv.1712.09119 · pith_short_12: XXOUII2SQGEG · pith_short_16: XXOUII2SQGEGWP6E · pith_short_8: XXOUII2S

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/XXOUII2SQGEGWP6EVAGKQ6TN5V \
  | 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: bddd44235281886b3fc4a80ca87a6ded6c435b4f55b5953ff2b1063b0893f951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a5b44704b3b3b349573aa7e51349d192cac1eaddf6df339a2348ba9ac6c7583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-25T19:32:38Z",
    "title_canon_sha256": "6c13a4160f4214877f76708f0e6c62a83328cd1cb6b50af4798e03082e29e0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09119",
    "kind": "arxiv",
    "version": 4
  }
}