Pith Number

pith:7F2KMVHY

pith:2013:7F2KMVHY5CN7ILT2H6M75IRUTV

not attested not anchored not stored refs pending

Free infinite divisibility for beta distributions and related ones

Takahiro Hasebe

arxiv:1305.0924 v4 · 2013-05-04 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F2KMVHY5CN7ILT2H6M75IRUTV}

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	2026-05-18T02:42:37.442437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f974a654f8e89bf42e7a3f99fea2349d6387941a9f6becd1a0a9b4212c4e1c84

Aliases

arxiv: 1305.0924 · arxiv_version: 1305.0924v4 · doi: 10.48550/arxiv.1305.0924 · pith_short_12: 7F2KMVHY5CN7 · pith_short_16: 7F2KMVHY5CN7ILT2 · pith_short_8: 7F2KMVHY

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/7F2KMVHY5CN7ILT2H6M75IRUTV \
  | 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: f974a654f8e89bf42e7a3f99fea2349d6387941a9f6becd1a0a9b4212c4e1c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fdc07a8fff48921aecc1fe658525b542fd7ad8a7f172dfe432be56f1c531591",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-04T14:52:14Z",
    "title_canon_sha256": "3bea0b62519c3e506ccbc425b2bfbd6e20318ce4cfc730fedfeb14cc731e826e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0924",
    "kind": "arxiv",
    "version": 4
  }
}