Pith Number

pith:P3OUTGU2

pith:2012:P3OUTGU2WDJ6KJYMHC6TBDKWIU

not attested not anchored not stored refs pending

q Analogue of p adic log gamma functions associated with modified q extension of Genocchi numbers with weight alpha and beta

Mehmet Acikgoz, Serkan Araci

arxiv:1201.1309 v2 · 2012-01-05 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3OUTGU2WDJ6KJYMHC6TBDKWIU}

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	2026-05-18T03:12:48.632524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edd499a9ab0d3e5270c38bd308d5645278bb3f0d0a453ed5f09d55e612ca722

Aliases

arxiv: 1201.1309 · arxiv_version: 1201.1309v2 · doi: 10.48550/arxiv.1201.1309 · pith_short_12: P3OUTGU2WDJ6 · pith_short_16: P3OUTGU2WDJ6KJYM · pith_short_8: P3OUTGU2

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/P3OUTGU2WDJ6KJYMHC6TBDKWIU \
  | 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: 7edd499a9ab0d3e5270c38bd308d5645278bb3f0d0a453ed5f09d55e612ca722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1627809f90b594a8a2f2721b909a33268c4a349f30b116540655d00e60fd1bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-05T21:35:44Z",
    "title_canon_sha256": "f9dc1d4790058ab57da1557b1a993e20f92d228deb614a847167fc35fb3eae5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1309",
    "kind": "arxiv",
    "version": 2
  }
}