Pith Number

pith:LJVUM3M2

pith:2010:LJVUM3M2YYVCVZM2M22RDCNQYW

not attested not anchored not stored refs pending

Probability distributions with summary graph structure

Nanny Wermuth

arxiv:1003.3259 v2 · 2010-03-16 · stat.ME · 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{LJVUM3M2YYVCVZM2M22RDCNQYW}

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	2026-05-18T04:18:22.519483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6b466d9ac62a2ae59a66b51189b0c58ebd22802b42726ceb87132a1fa9a2a8

Aliases

arxiv: 1003.3259 · arxiv_version: 1003.3259v2 · doi: 10.48550/arxiv.1003.3259 · pith_short_12: LJVUM3M2YYVC · pith_short_16: LJVUM3M2YYVCVZM2 · pith_short_8: LJVUM3M2

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/LJVUM3M2YYVCVZM2M22RDCNQYW \
  | 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: 5a6b466d9ac62a2ae59a66b51189b0c58ebd22802b42726ceb87132a1fa9a2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ead71c81f7ccfa75a0dcf409cd8e1f575c45648fa215c72c25f5d6e66b05a4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2010-03-16T21:46:39Z",
    "title_canon_sha256": "9a311b5e6b1896c9c2f83e18acecd30a150cc1974ebb0deeb0097f1f97a0c8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3259",
    "kind": "arxiv",
    "version": 2
  }
}