Pith Number

pith:3JRJ6GGX

pith:2013:3JRJ6GGXXNKV34ONZU7GYDU6ZD

not attested not anchored not stored refs pending

The combinatorial structure of beta negative binomial processes

Creighton Heaukulani, Daniel M. Roy

arxiv:1401.0062 v4 · 2013-12-31 · math.ST · math.PR · stat.ML · 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{3JRJ6GGXXNKV34ONZU7GYDU6ZD}

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	2026-05-18T01:12:00.540954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da629f18d7bb555df1cdcd3e6c0e9ec8de8b475825208179ce2ee67262b86386

Aliases

arxiv: 1401.0062 · arxiv_version: 1401.0062v4 · doi: 10.48550/arxiv.1401.0062 · pith_short_12: 3JRJ6GGXXNKV · pith_short_16: 3JRJ6GGXXNKV34ON · pith_short_8: 3JRJ6GGX

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/3JRJ6GGXXNKV34ONZU7GYDU6ZD \
  | 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: da629f18d7bb555df1cdcd3e6c0e9ec8de8b475825208179ce2ee67262b86386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8baf80a4fab1171de99688ca5b877e71cbcca54f06d1a589c3b2b7fec3904bf0",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-31T00:48:01Z",
    "title_canon_sha256": "09462f7eabee44acd0b418b79e7223eb226418f1995a247e1f2abbb86f570e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0062",
    "kind": "arxiv",
    "version": 4
  }
}