Pith Number

pith:X5BBOYDU

pith:1998:X5BBOYDUABK24YDUBMDNKBGCNE

not attested not anchored not stored refs pending

Dodgson's Determinant-Evaluation Rule proved by Two-Timing Men and Women

Doron Zeilberger (Temple University)

arxiv:math/9808079 v1 · 1998-08-17 · 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{X5BBOYDUABK24YDUBMDNKBGCNE}

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.

Cited by

1 paper in Pith

An Introduction to Algebraic Combinatorics

Receipt and verification

First computed	2026-07-04T14:40:45.780562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf421760740055ae60740b06d504c2692e06c1065cb51de31511e56245ca9786

Aliases

arxiv: math/9808079 · arxiv_version: math/9808079v1 · doi: 10.48550/arxiv.math/9808079 · pith_short_12: X5BBOYDUABK2 · pith_short_16: X5BBOYDUABK24YDU · pith_short_8: X5BBOYDU

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/X5BBOYDUABK24YDUBMDNKBGCNE \
  | 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: bf421760740055ae60740b06d504c2692e06c1065cb51de31511e56245ca9786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df6ae81e03a54b18399ca4666d9ae9cb116c4bf5dc95b84ac02f8128fe97df1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-08-17T20:58:27Z",
    "title_canon_sha256": "8a8f4fc5159c902c45d8490e95b32378dc2542d150146083467813bf0dc2ce6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9808079",
    "kind": "arxiv",
    "version": 1
  }
}