Pith Number

pith:HBWHZ5SE

pith:2001:HBWHZ5SEGVEYPLHIEZAQFXS2XJ

not attested not anchored not stored refs pending

A generatingfunctionology approach to a problem of Wilf

Carla D. Savage, Cecil C. Rousseau, Pawel Hitczenko

arxiv:math/0110181 v1 · 2001-10-17 · 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{HBWHZ5SEGVEYPLHIEZAQFXS2XJ}

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	2026-05-18T01:38:29.805244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386c7cf644354987ace8264102de5aba6e5b6db2843eae83771af9a849b32678

Aliases

arxiv: math/0110181 · arxiv_version: math/0110181v1 · doi: 10.48550/arxiv.math/0110181 · pith_short_12: HBWHZ5SEGVEY · pith_short_16: HBWHZ5SEGVEYPLHI · pith_short_8: HBWHZ5SE

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/HBWHZ5SEGVEYPLHIEZAQFXS2XJ \
  | 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: 386c7cf644354987ace8264102de5aba6e5b6db2843eae83771af9a849b32678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64db4d9b17bc3ba3197b74e02df00d2b801890e9e7c6df55239213e94a6ec1df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-10-17T17:21:11Z",
    "title_canon_sha256": "c530d9c3e82f288d33a1ce84a2821b2010697a40a52925a96c7a87260ec725b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110181",
    "kind": "arxiv",
    "version": 1
  }
}