Pith Number

pith:JZ2YN763

pith:2005:JZ2YN763J33P2ANQSTMXNJDVBJ

not attested not anchored not stored refs pending

Some Arithmetic Properties of the q-Euler Numbers and q-Sali\'e Numbers

Jiang Zeng, Victor J. W. Guo

arxiv:math/0504569 v2 · 2005-04-28 · 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{JZ2YN763J33P2ANQSTMXNJDVBJ}

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	2026-05-18T04:26:00.762639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7586ffdb4ef6fd01b094d976a4750a671a23887359d2e85bbccdeaadd18700

Aliases

arxiv: math/0504569 · arxiv_version: math/0504569v2 · doi: 10.48550/arxiv.math/0504569 · pith_short_12: JZ2YN763J33P · pith_short_16: JZ2YN763J33P2ANQ · pith_short_8: JZ2YN763

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/JZ2YN763J33P2ANQSTMXNJDVBJ \
  | 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: 4e7586ffdb4ef6fd01b094d976a4750a671a23887359d2e85bbccdeaadd18700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cd4bba5991985b7a690a8ba916483a6dc76eec7557865d02556c8473021a61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-04-28T12:56:42Z",
    "title_canon_sha256": "d49a4bd4b539fd93a9cfa8d0e5d645ef54ae0947bca8164cff073f37780ac93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504569",
    "kind": "arxiv",
    "version": 2
  }
}