Pith Number

pith:XGQV2ETF

pith:2012:XGQV2ETF5A7SQXGMNCXJ5R6YVH

not attested not anchored not stored refs pending

A unification of the multiple twisted Euler and Genocchi numbers and polynomials associated with p adic q integral on Zp at q=-1

Hassan Jolany, Kyoung Ho Park, Mehmet Acikgoz, Serkan Araci

arxiv:1201.1315 v1 · 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{XGQV2ETF5A7SQXGMNCXJ5R6YVH}

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	2026-05-18T02:55:18.766174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a15d1265e83f285ccc68ae9ec7d8a9c0d002a612981e950f7abe12ec536d3a

Aliases

arxiv: 1201.1315 · arxiv_version: 1201.1315v1 · doi: 10.48550/arxiv.1201.1315 · pith_short_12: XGQV2ETF5A7S · pith_short_16: XGQV2ETF5A7SQXGM · pith_short_8: XGQV2ETF

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/XGQV2ETF5A7SQXGMNCXJ5R6YVH \
  | 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: b9a15d1265e83f285ccc68ae9ec7d8a9c0d002a612981e950f7abe12ec536d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09937d7b1ca43e621ed9486ca895d1aa3f40d78a52bdab449915e3d9a3e3c88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-05T22:10:10Z",
    "title_canon_sha256": "1d3651c99f09cd975010ad16fb5174365e21d31a390437b6f011592bf6c0996e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1315",
    "kind": "arxiv",
    "version": 1
  }
}