Pith Number

pith:LFZB5TNZ

pith:2011:LFZB5TNZK56VINIPDRH3EUST4Z

not attested not anchored not stored refs pending

Beta-Product Poisson-Dirichlet Processes

Fabrizio Leisen, Federico Bassetti, Roberto Casarin

arxiv:1109.4777 v1 · 2011-09-22 · math.ST · math.PR · stat.CO · 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{LFZB5TNZK56VINIPDRH3EUST4Z}

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	2026-05-18T04:12:32.938356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59721ecdb9577d54350f1c4fb25253e659962aa9985317cf0b7f7cc0f1d0c53d

Aliases

arxiv: 1109.4777 · arxiv_version: 1109.4777v1 · doi: 10.48550/arxiv.1109.4777 · pith_short_12: LFZB5TNZK56V · pith_short_16: LFZB5TNZK56VINIP · pith_short_8: LFZB5TNZ

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/LFZB5TNZK56VINIPDRH3EUST4Z \
  | 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: 59721ecdb9577d54350f1c4fb25253e659962aa9985317cf0b7f7cc0f1d0c53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0383e1e5857e18c18db50a5b27ceb5b716d8135dbfaf249f60f7d3e94768ce8",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-09-22T11:32:31Z",
    "title_canon_sha256": "9f570eb45a275caa6650e6d3e3ac6b07156dfb812c5783d7702ee5b6014e85b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4777",
    "kind": "arxiv",
    "version": 1
  }
}