Pith Number

pith:FBBOYBO5

pith:2011:FBBOYBO5SOSRLNYHBKDBBO5PLD

not attested not anchored not stored refs pending

Reversible Markov structures on divisible set partitions

Harry Crane, Peter McCullagh

arxiv:1110.3817 v2 · 2011-10-17 · 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{FBBOYBO5SOSRLNYHBKDBBO5PLD}

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	2026-05-18T01:31:21.701803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2842ec05dd93a515b7070a8610bbaf58f6008ca22ddd5792e6e81af0a2542bc8

Aliases

arxiv: 1110.3817 · arxiv_version: 1110.3817v2 · doi: 10.48550/arxiv.1110.3817 · pith_short_12: FBBOYBO5SOSR · pith_short_16: FBBOYBO5SOSRLNYH · pith_short_8: FBBOYBO5

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/FBBOYBO5SOSRLNYHBKDBBO5PLD \
  | 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: 2842ec05dd93a515b7070a8610bbaf58f6008ca22ddd5792e6e81af0a2542bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d75334dcd91a335f319bee8c98ff7ab5ff69536d44bdccf795eb4df919f8237",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-10-17T20:47:45Z",
    "title_canon_sha256": "fea6b1bbddde65604bee1ad68769067b4869904412ebbd30394c56a8d83aee37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3817",
    "kind": "arxiv",
    "version": 2
  }
}