Pith Number

pith:Z3Z3A5OA

pith:2007:Z3Z3A5OA2AOPSCMUWOJLM723C3

not attested not anchored not stored refs pending

Free Bessel laws

Benoit Collins, Mireille Capitaine, Serban Belinschi, Teodor Banica

arxiv:0710.5931 v2 · 2007-10-31 · math.PR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3Z3A5OA2AOPSCMUWOJLM723C3}

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	2026-05-17T23:52:45.034681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef3b075c0d01cf90994b392b67f5b16d41757b2ec8660047f74a4407f74c112

Aliases

arxiv: 0710.5931 · arxiv_version: 0710.5931v2 · doi: 10.48550/arxiv.0710.5931 · pith_short_12: Z3Z3A5OA2AOP · pith_short_16: Z3Z3A5OA2AOPSCMU · pith_short_8: Z3Z3A5OA

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/Z3Z3A5OA2AOPSCMUWOJLM723C3 \
  | 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: cef3b075c0d01cf90994b392b67f5b16d41757b2ec8660047f74a4407f74c112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff4910b190a5535ac9b33340577183306a8454d6db663399e1485a259d1c668",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-31T19:10:06Z",
    "title_canon_sha256": "1a1dc223d876f52f5cec469c9c7ce51d4282795df530dd62b09eca317348898d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5931",
    "kind": "arxiv",
    "version": 2
  }
}