Pith Number

pith:DZGQX7CV

pith:2009:DZGQX7CV5UNSAWAXZTELQ2DJPJ

not attested not anchored not stored refs pending

Translation and modern interpretation of Laplace's Th\'eorie Analytique des Probabilit\'es, pages 505-512, 516-520

Julien Langou

arxiv:0907.4695 v1 · 2009-07-27 · math.NA · cs.NA · 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{DZGQX7CV5UNSAWAXZTELQ2DJPJ}

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	2026-06-03T23:06:28.035006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e4d0bfc55ed1b205817ccc8b868697a4e2c99f9b916cbe80015494b1c90d0e2

Aliases

arxiv: 0907.4695 · arxiv_version: 0907.4695v1 · doi: 10.48550/arxiv.0907.4695 · pith_short_12: DZGQX7CV5UNS · pith_short_16: DZGQX7CV5UNSAWAX · pith_short_8: DZGQX7CV

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/DZGQX7CV5UNSAWAXZTELQ2DJPJ \
  | 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: 1e4d0bfc55ed1b205817ccc8b868697a4e2c99f9b916cbe80015494b1c90d0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c83ba0f4ea082b25e07360cf3c80c31367fd6f6fc7450ac5b773339099d9803",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-07-27T16:39:10Z",
    "title_canon_sha256": "c493bf2bf534668b37a0961f382029bbda9cd242d32d79eea15f77beaa05e133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4695",
    "kind": "arxiv",
    "version": 1
  }
}