Pith Number

pith:K2K52ZHQ

pith:2012:K2K52ZHQVPRP25SZC3TPTIMBMN

not attested not anchored not stored refs pending

On the $q$-Genocchi numbers and polynomials with weight zero and their applications

Feng Qi, Mehmet Acikgoz, Serkan Araci

arxiv:1202.2643 v1 · 2012-02-13 · math.NT · 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{K2K52ZHQVPRP25SZC3TPTIMBMN}

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	2026-05-18T03:16:59.094629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5695dd64f0abe2fd765916e6f9a181634ddc46283c795ed747cf62d5c50ec833

Aliases

arxiv: 1202.2643 · arxiv_version: 1202.2643v1 · doi: 10.48550/arxiv.1202.2643 · pith_short_12: K2K52ZHQVPRP · pith_short_16: K2K52ZHQVPRP25SZ · pith_short_8: K2K52ZHQ

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/K2K52ZHQVPRP25SZC3TPTIMBMN \
  | 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: 5695dd64f0abe2fd765916e6f9a181634ddc46283c795ed747cf62d5c50ec833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa74ac7733746ffa754a7cbe2b56a53f0d07a41c6b46e9e56eb60c2e5c8fe883",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-13T07:06:14Z",
    "title_canon_sha256": "bbe8367481e44e3cfa03100b9c93674967d490101adaff4eddcd071ea86f4d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2643",
    "kind": "arxiv",
    "version": 1
  }
}