Pith Number

pith:CWB2YPF7

pith:2009:CWB2YPF7LW5UZBHOQAJA3NRPNE

not attested not anchored not stored refs pending

Poisson splitting by factors

Alexander E. Holroyd, Russell Lyons, Terry Soo

arxiv:0908.3409 v3 · 2009-08-24 · 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{CWB2YPF7LW5UZBHOQAJA3NRPNE}

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	2026-05-18T04:06:46.370539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1583ac3cbf5dbb4c84ee80120db62f690a2814ba6c752903fe6785f055fb699c

Aliases

arxiv: 0908.3409 · arxiv_version: 0908.3409v3 · doi: 10.48550/arxiv.0908.3409 · pith_short_12: CWB2YPF7LW5U · pith_short_16: CWB2YPF7LW5UZBHO · pith_short_8: CWB2YPF7

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/CWB2YPF7LW5UZBHOQAJA3NRPNE \
  | 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: 1583ac3cbf5dbb4c84ee80120db62f690a2814ba6c752903fe6785f055fb699c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944ba432807ae4011c6d90634ad160e75c6b85a92ff683b2aa1b2781b4c98b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-24T11:17:32Z",
    "title_canon_sha256": "f7079e24ce8009021156f05b9bee419753774427f39ff69cbfa60c7534169d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3409",
    "kind": "arxiv",
    "version": 3
  }
}