Pith Number

pith:45I5222L

pith:2012:45I5222LTD7AL7B2EWMYMP5WHV

not attested not anchored not stored refs pending

Perpetuity property of the Dirichlet distribution

Gerard Letac, Pawel Hitczenko

arxiv:1204.2315 v1 · 2012-04-11 · 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{45I5222LTD7AL7B2EWMYMP5WHV}

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	2026-05-18T03:58:12.157485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e751dd6b4b98fe05fc3a2599863fb63d521104eced85e7d27a3d857e1792edf7

Aliases

arxiv: 1204.2315 · arxiv_version: 1204.2315v1 · doi: 10.48550/arxiv.1204.2315 · pith_short_12: 45I5222LTD7A · pith_short_16: 45I5222LTD7AL7B2 · pith_short_8: 45I5222L

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/45I5222LTD7AL7B2EWMYMP5WHV \
  | 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: e751dd6b4b98fe05fc3a2599863fb63d521104eced85e7d27a3d857e1792edf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906200d6a1b10f06a95ada8219a893c258ff85533ee44c6634b6bf63a685e86b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-11T01:39:27Z",
    "title_canon_sha256": "23d54500d108eaf1807fcdb0315fb6730b433467f58905a1755dc0ae54fb5194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2315",
    "kind": "arxiv",
    "version": 1
  }
}