Pith Number

pith:FU5NEY2L

pith:2013:FU5NEY2L7USY6NZ3A7V2WAST7K

not attested not anchored not stored refs pending

A two-type Bellman--Harris process initiated by a large number of particles

Alexander Iksanov, Valentin Topchii, Vladimir Vatutin

arxiv:1311.1060 v1 · 2013-11-05 · 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{FU5NEY2L7USY6NZ3A7V2WAST7K}

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	2026-05-18T03:07:55.656297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3ad2634bfd258f373b07ebab0253faab03112b22a291b4cba496e71d8e0156

Aliases

arxiv: 1311.1060 · arxiv_version: 1311.1060v1 · doi: 10.48550/arxiv.1311.1060 · pith_short_12: FU5NEY2L7USY · pith_short_16: FU5NEY2L7USY6NZ3 · pith_short_8: FU5NEY2L

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/FU5NEY2L7USY6NZ3A7V2WAST7K \
  | 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: 2d3ad2634bfd258f373b07ebab0253faab03112b22a291b4cba496e71d8e0156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427378917108110228cf86ac0da75a55e963f52c6e38afecdd3ef9d678716c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-05T14:21:53Z",
    "title_canon_sha256": "533822eb782d4052b7201c387691a204a29d24c8b8c94abe176ccc66203e865a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1060",
    "kind": "arxiv",
    "version": 1
  }
}