Pith Number

pith:SPK5IL6I

pith:1998:SPK5IL6IYDQ45SLUILSGXX4TYI

not attested not anchored not stored refs pending

A combinatorial determinant

Herbert S. Wilf

arxiv:math/9809120 v3 · 1998-09-22 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPK5IL6IYDQ45SLUILSGXX4TYI}

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	2026-07-04T14:40:47.748707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d5d42fc8c0e1cec97442e46bdf93c22932d2d7fe0301317cc0ea06ed1b71cf

Aliases

arxiv: math/9809120 · arxiv_version: math/9809120v3 · doi: 10.48550/arxiv.math/9809120 · pith_short_12: SPK5IL6IYDQ4 · pith_short_16: SPK5IL6IYDQ45SLU · pith_short_8: SPK5IL6I

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/SPK5IL6IYDQ45SLUILSGXX4TYI \
  | 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: 93d5d42fc8c0e1cec97442e46bdf93c22932d2d7fe0301317cc0ea06ed1b71cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34522c7819775999f9a851f029d345ed09fed8b56467c6c11dc74aea42855cc9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-09-22T02:45:34Z",
    "title_canon_sha256": "5fdbb3fc50650d1137f7ec8b83f1bd3c01b2d2aff4113be67743f8040641ca3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809120",
    "kind": "arxiv",
    "version": 3
  }
}