Pith Number

pith:L3C6VUXW

pith:2004:L3C6VUXWY4HDP5UWFEWJFNGSUQ

not attested not anchored not stored refs pending

The method of characteristics, and "problem 89" of Graham, Knuth and Patashnik

Herbert S. Wilf

arxiv:math/0406620 v2 · 2004-06-30 · 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{L3C6VUXWY4HDP5UWFEWJFNGSUQ}

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

2 papers in Pith

Moments for generalizations of a coin flip game

Triangular Arrays using context-free grammar

Receipt and verification

First computed	2026-07-04T14:38:52.741206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec5ead2f6c70e37f696292c92b4d2a421ef3fa09a4e27169a46f6a2da464f1a

Aliases

arxiv: math/0406620 · arxiv_version: math/0406620v2 · doi: 10.48550/arxiv.math/0406620 · pith_short_12: L3C6VUXWY4HD · pith_short_16: L3C6VUXWY4HDP5UW · pith_short_8: L3C6VUXW

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/L3C6VUXWY4HDP5UWFEWJFNGSUQ \
  | 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: 5ec5ead2f6c70e37f696292c92b4d2a421ef3fa09a4e27169a46f6a2da464f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6bf7e282b46984a9c97c3c99b889a749b481e94e6a95a35433af74c47fe7d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-06-30T14:25:38Z",
    "title_canon_sha256": "f05f43031d33cfbbfbfbeb17df8c2d4973693a0f35a01a7c1863c3de145f2f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406620",
    "kind": "arxiv",
    "version": 2
  }
}