Pith Number

pith:OSSTB5CC

pith:2000:OSSTB5CCEJVHBTQWKQ6VQTKH7F

not attested not anchored not stored refs pending

Identically Distributed Pairs of Partition Statistics

Herbert S. Wilf

arxiv:math/0004180 v1 · 2000-04-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSSTB5CCEJVHBTQWKQ6VQTKH7F}

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	2026-07-04T14:34:28.931216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a530f442226a70ce16543d584d47f963a287638ad165e7d4f47cc0908fe2ab

Aliases

arxiv: math/0004180 · arxiv_version: math/0004180v1 · doi: 10.48550/arxiv.math/0004180 · pith_short_12: OSSTB5CCEJVH · pith_short_16: OSSTB5CCEJVHBTQW · pith_short_8: OSSTB5CC

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/OSSTB5CCEJVHBTQWKQ6VQTKH7F \
  | 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: 74a530f442226a70ce16543d584d47f963a287638ad165e7d4f47cc0908fe2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3a506dbb259b025b888aa9fe5e316d359a3574ee81b47a43211e4dc3a385b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2000-04-28T15:02:50Z",
    "title_canon_sha256": "fd899f53327f6afc7bfa0d28c164d29c6ff44b4f35d67ea8f3586e07accd6d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004180",
    "kind": "arxiv",
    "version": 1
  }
}