Pith Number

pith:JDFMRSWE

pith:2006:JDFMRSWEHQKITLDDYS32XPNDTZ

not attested not anchored not stored refs pending

Computing the distribution of the maximum in balls-and-boxes problems, with application to clusters of disease cases

Herbert S. Wilf, Warren J. Ewens

arxiv:math/0610810 v1 · 2006-10-26 · math.ST · math.CO · 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{JDFMRSWEHQKITLDDYS32XPNDTZ}

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	2026-07-04T17:02:10.979292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48cac8cac43c1489ac63c4b7abbda39e5f5884799f2bf8201363d94013726f83

Aliases

arxiv: math/0610810 · arxiv_version: math/0610810v1 · doi: 10.48550/arxiv.math/0610810 · pith_short_12: JDFMRSWEHQKI · pith_short_16: JDFMRSWEHQKITLDD · pith_short_8: JDFMRSWE

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/JDFMRSWEHQKITLDDYS32XPNDTZ \
  | 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: 48cac8cac43c1489ac63c4b7abbda39e5f5884799f2bf8201363d94013726f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd54360e697c643bf81539fdf76dd3ec1cd99715317e66e104d07fa86ac5be3d",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-10-26T20:47:26Z",
    "title_canon_sha256": "647a91257b643b5d7b4e283b3ae794dea55a6a37d1f92817af438f1451460bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610810",
    "kind": "arxiv",
    "version": 1
  }
}