Pith Number

pith:5LEKLM75

pith:2013:5LEKLM75HNKFP2EQ3UUYBXQCIN

not attested not anchored not stored refs pending

Beta-hypergeometric probability distribution on symmetric matrices

Abdelhamid Hassairi, Mouna Masmoudi

arxiv:1302.3514 v1 · 2013-02-14 · 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{5LEKLM75HNKFP2EQ3UUYBXQCIN}

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	2026-05-18T03:33:38.357793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac8a5b3fd3b5457e890dd2980de02434e6378e5348b81f6392b406bed4c95ea

Aliases

arxiv: 1302.3514 · arxiv_version: 1302.3514v1 · doi: 10.48550/arxiv.1302.3514 · pith_short_12: 5LEKLM75HNKF · pith_short_16: 5LEKLM75HNKFP2EQ · pith_short_8: 5LEKLM75

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/5LEKLM75HNKFP2EQ3UUYBXQCIN \
  | 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: eac8a5b3fd3b5457e890dd2980de02434e6378e5348b81f6392b406bed4c95ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d81e0a253276b55022e171fb7b385c0d8120eaac01910fddd94343e3cb67a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-14T19:22:33Z",
    "title_canon_sha256": "5b16cf89ec1badeda21a9faa2682fa471e82ee034d3dab525f20bb84805da025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3514",
    "kind": "arxiv",
    "version": 1
  }
}