Pith Number

pith:BYRYMCJZ

pith:2012:BYRYMCJZB3HDNXJWPNEPRT3XYV

not attested not anchored not stored refs pending

A new family of q-analogue of Genocchi numbers and polynomials of higher order

Jong Jin Seo, Mehmet Acikgoz, Serkan Araci

arxiv:1205.2854 v1 · 2012-05-13 · 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{BYRYMCJZB3HDNXJWPNEPRT3XYV}

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	2026-05-17T23:41:40.014661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e238609390ece36dd367b48f8cf77c5471200b654865a3d0df7abe772e80b00

Aliases

arxiv: 1205.2854 · arxiv_version: 1205.2854v1 · doi: 10.48550/arxiv.1205.2854 · pith_short_12: BYRYMCJZB3HD · pith_short_16: BYRYMCJZB3HDNXJW · pith_short_8: BYRYMCJZ

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/BYRYMCJZB3HDNXJWPNEPRT3XYV \
  | 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: 0e238609390ece36dd367b48f8cf77c5471200b654865a3d0df7abe772e80b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b6ba3edc5be9ad97c475cc09aa332b05d32504f0a25a09c3d0ad7c41a72e80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-13T12:47:42Z",
    "title_canon_sha256": "73af4332fda6fa9627b0168da2519b06449fefe87aef915683de6f498062f0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2854",
    "kind": "arxiv",
    "version": 1
  }
}