Pith Number

pith:ZUHIDW4B

pith:2005:ZUHIDW4B33H42CZB3OSTAHWVEU

not attested not anchored not stored refs pending

A Generalization of the Ramanujan Polynomials and Plane Trees

Jiang Zeng, Victor J. W. Guo

arxiv:math/0512249 v2 · 2005-12-12 · 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{ZUHIDW4B33H42CZB3OSTAHWVEU}

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	2026-05-18T04:26:00.757113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0e81db81decfcd0b21dba5301ed5252c0a6b6a605edf25143b5f09c9f490c3

Aliases

arxiv: math/0512249 · arxiv_version: math/0512249v2 · doi: 10.48550/arxiv.math/0512249 · pith_short_12: ZUHIDW4B33H4 · pith_short_16: ZUHIDW4B33H42CZB · pith_short_8: ZUHIDW4B

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/ZUHIDW4B33H42CZB3OSTAHWVEU \
  | 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: cd0e81db81decfcd0b21dba5301ed5252c0a6b6a605edf25143b5f09c9f490c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25667d5a8bf3180157d33e5671c9cd06faa456d0e7dcfa3050851030245ad9a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-12T21:11:50Z",
    "title_canon_sha256": "53281899d73643c75cade9c6c536a5a7f360bdbde9811e11f3a5cadb4e369206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512249",
    "kind": "arxiv",
    "version": 2
  }
}