Pith Number

pith:WINOG7JZ

pith:2013:WINOG7JZIBLMELEKR4WKDTZH2R

not attested not anchored not stored refs pending

Hypergeometric tail inequalities: ending the insanity

Matthew Skala

arxiv:1311.5939 v1 · 2013-11-23 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WINOG7JZIBLMELEKR4WKDTZH2R}

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	2026-05-18T03:06:21.048147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21ae37d394056c22c8a8f2ca1cf27d462c7cdaf0212ba222a0795cfcb7c4e1b

Aliases

arxiv: 1311.5939 · arxiv_version: 1311.5939v1 · doi: 10.48550/arxiv.1311.5939 · pith_short_12: WINOG7JZIBLM · pith_short_16: WINOG7JZIBLMELEK · pith_short_8: WINOG7JZ

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/WINOG7JZIBLMELEKR4WKDTZH2R \
  | 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: b21ae37d394056c22c8a8f2ca1cf27d462c7cdaf0212ba222a0795cfcb7c4e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ecf6bb16a32bcf13d85f5878028d71bcee45418a07aa723d4a89b2e39ef4582",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-23T00:46:49Z",
    "title_canon_sha256": "6a48e0b6333b06427cce7d2cd3105924ea8e30c469c37f361864b34e075434e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5939",
    "kind": "arxiv",
    "version": 1
  }
}