Pith Number

pith:5IRUCIHZ

pith:2010:5IRUCIHZG4JCD2ITOELAH5SENA

not attested not anchored not stored refs pending

Compound Markov counting processes and their applications to modeling infinitesimally over-dispersed systems

Carles Breto, Edward L. Ionides

arxiv:1003.0173 v1 · 2010-02-28 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IRUCIHZG4JCD2ITOELAH5SENA}

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	2026-05-18T02:55:50.197750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea234120f9371221e913711603f6446839873c4a382538789abe37a66c519fe4

Aliases

arxiv: 1003.0173 · arxiv_version: 1003.0173v1 · doi: 10.48550/arxiv.1003.0173 · pith_short_12: 5IRUCIHZG4JC · pith_short_16: 5IRUCIHZG4JCD2IT · pith_short_8: 5IRUCIHZ

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/5IRUCIHZG4JCD2ITOELAH5SENA \
  | 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: ea234120f9371221e913711603f6446839873c4a382538789abe37a66c519fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5a89144b2b1add8d9941d412c347a46007d5f34788888c8e3d78b2a7d15c07",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-02-28T11:02:20Z",
    "title_canon_sha256": "ca6c16f9a78888969f8837f3fd6a59c8b1d1f9133100d4e43938c2fdf6507d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0173",
    "kind": "arxiv",
    "version": 1
  }
}