Pith Number

pith:FDU5SWJB

pith:2013:FDU5SWJBYS7YSHNAKVCURZ5ENH

not attested not anchored not stored refs pending

The probability of drawing intersections: extending the hypergeometric distribution

Alex T. Kalinka

arxiv:1305.0717 v5 · 2013-05-03 · 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{FDU5SWJBYS7YSHNAKVCURZ5ENH}

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	2026-05-18T02:53:56.416877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e9d95921c4bf891da0554548e7a469d963d50eace836acd7c4ce08858f1e0c

Aliases

arxiv: 1305.0717 · arxiv_version: 1305.0717v5 · doi: 10.48550/arxiv.1305.0717 · pith_short_12: FDU5SWJBYS7Y · pith_short_16: FDU5SWJBYS7YSHNA · pith_short_8: FDU5SWJB

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/FDU5SWJBYS7YSHNAKVCURZ5ENH \
  | 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: 28e9d95921c4bf891da0554548e7a469d963d50eace836acd7c4ce08858f1e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68afe9e35e447410957b3dc77ec2425b2c3bb575000893abe82899525105018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-03T14:17:10Z",
    "title_canon_sha256": "be068e168d92714f019cbe5aa2ffb24ca883b35b2f3a5c672c193a79ca544662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0717",
    "kind": "arxiv",
    "version": 5
  }
}