Pith Number

pith:NG3HCDP7

pith:2014:NG3HCDP7T4O422Y6CRCGL7BW3A

not attested not anchored not stored refs pending

Sum rules via large deviations

Alain Rouault, Fabrice Gamboa, Jan Nagel

arxiv:1407.1384 v2 · 2014-07-05 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG3HCDP7T4O422Y6CRCGL7BW3A}

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	2026-05-18T01:41:58.029605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b6710dff9f1dcd6b1e144465fc36d8244c07a117f50c2100eb535ce34057a8

Aliases

arxiv: 1407.1384 · arxiv_version: 1407.1384v2 · doi: 10.48550/arxiv.1407.1384 · pith_short_12: NG3HCDP7T4O4 · pith_short_16: NG3HCDP7T4O422Y6 · pith_short_8: NG3HCDP7

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/NG3HCDP7T4O422Y6CRCGL7BW3A \
  | 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: 69b6710dff9f1dcd6b1e144465fc36d8244c07a117f50c2100eb535ce34057a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115dcf24680b6e9ba0acee6aa4fb64cdd3085177868668f4e14b92f4879aa13e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-05T10:35:06Z",
    "title_canon_sha256": "d3fe831d07ee6583184db857c1ac13458fe848a94d4d3ff891ca14385ed34876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1384",
    "kind": "arxiv",
    "version": 2
  }
}