Pith Number

pith:AZXMCCPU

pith:2008:AZXMCCPUSFAGKHJ6KKIUQAV3MQ

not attested not anchored not stored refs pending

Chains of distributions, hierarchical Bayesian models and Benford's Law

Alex Kruckman, Dennis Jang, Jung Uk Kang, Jun Kudo, Steven J. Miller

arxiv:0805.4226 v2 · 2008-05-27 · 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{AZXMCCPUSFAGKHJ6KKIUQAV3MQ}

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	2026-05-18T04:41:04.035925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066ec109f49140651d3e52914802bb642915c090dda42979ed3423278e6c2e4a

Aliases

arxiv: 0805.4226 · arxiv_version: 0805.4226v2 · doi: 10.48550/arxiv.0805.4226 · pith_short_12: AZXMCCPUSFAG · pith_short_16: AZXMCCPUSFAGKHJ6 · pith_short_8: AZXMCCPU

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/AZXMCCPUSFAGKHJ6KKIUQAV3MQ \
  | 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: 066ec109f49140651d3e52914802bb642915c090dda42979ed3423278e6c2e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9476a1c1a15157451dc248e0c8a8651e5f087c517d32316a289721da7275c0",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-27T21:30:48Z",
    "title_canon_sha256": "9fae8c0e773edb44268ddeae9b5cc0a32a7e9842db5a35aa2881711b4a673171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4226",
    "kind": "arxiv",
    "version": 2
  }
}