Pith Number

pith:I22JMTNW

pith:2018:I22JMTNWY3UMTSRWV7CQAYEGKV

not attested not anchored not stored refs pending

The maximum negative hypergeometric distribution

Daniel Zelterman

arxiv:1802.09673 v1 · 2018-02-25 · math.ST · stat.ME · 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{I22JMTNWY3UMTSRWV7CQAYEGKV}

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	2026-05-18T00:22:30.429006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b4964db6c6e8c9ca36afc50060865543dc696d9e3e04f5f504143b2d57753c

Aliases

arxiv: 1802.09673 · arxiv_version: 1802.09673v1 · doi: 10.48550/arxiv.1802.09673 · pith_short_12: I22JMTNWY3UM · pith_short_16: I22JMTNWY3UMTSRW · pith_short_8: I22JMTNW

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/I22JMTNWY3UMTSRWV7CQAYEGKV \
  | 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: 46b4964db6c6e8c9ca36afc50060865543dc696d9e3e04f5f504143b2d57753c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4522dc04b431c30069d6fc5ea669756f7e012a6223080e0a845114ca1a4f4235",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-02-25T15:31:22Z",
    "title_canon_sha256": "441d3e2feb7ca81f0135f3d2b775ba883cedd41ad83b32d6253356013bbf5e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09673",
    "kind": "arxiv",
    "version": 1
  }
}