Pith Number

pith:XPJGNAXY

pith:2015:XPJGNAXYWJMG7LOUMHZMWJ262P

not attested not anchored not stored refs pending

Birth-and-death Polya urns and stationary random partitions

Matteo Ruggiero, Pierpaolo De Blasi, Stephen G. Walker

arxiv:1509.07601 v2 · 2015-09-25 · math.PR · 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{XPJGNAXYWJMG7LOUMHZMWJ262P}

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	2026-05-18T00:57:31.879614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd26682f8b2586fadd461f2cb275ed3cd203a2a6d87f032a48bb49624b6de43

Aliases

arxiv: 1509.07601 · arxiv_version: 1509.07601v2 · doi: 10.48550/arxiv.1509.07601 · pith_short_12: XPJGNAXYWJMG · pith_short_16: XPJGNAXYWJMG7LOU · pith_short_8: XPJGNAXY

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/XPJGNAXYWJMG7LOUMHZMWJ262P \
  | 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: bbd26682f8b2586fadd461f2cb275ed3cd203a2a6d87f032a48bb49624b6de43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e30c6ae19cc7a5fb3edb901b0581400e02953f09547727cbd59eca869f5b76a",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-25T07:13:26Z",
    "title_canon_sha256": "c646ce19e0eb5b0d27221a100e4621cd40a08c40dcab3f0c76c060af10918844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07601",
    "kind": "arxiv",
    "version": 2
  }
}