Pith Number

pith:Q4TW75ZL

pith:2012:Q4TW75ZLS4SRAGVMN6BWTOIFV5

not attested not anchored not stored refs pending

Identities involving q-Genocchi numbers and polynomials

Hassan Jolany, Mehmet Acikgoz, Serkan Araci, Yuan He

arxiv:1210.0847 v1 · 2012-10-02 · 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{Q4TW75ZLS4SRAGVMN6BWTOIFV5}

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	2026-05-18T01:59:53.773852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87276ff72b9725101aac6f8369b905af7e1ef1d36cf7c17919e0fcc280500c4f

Aliases

arxiv: 1210.0847 · arxiv_version: 1210.0847v1 · doi: 10.48550/arxiv.1210.0847 · pith_short_12: Q4TW75ZLS4SR · pith_short_16: Q4TW75ZLS4SRAGVM · pith_short_8: Q4TW75ZL

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/Q4TW75ZLS4SRAGVMN6BWTOIFV5 \
  | 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: 87276ff72b9725101aac6f8369b905af7e1ef1d36cf7c17919e0fcc280500c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e4665951be8a3019b36e3d55d48508eb2a77a1d6123db8d574c1fdf05bf665",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-02T17:15:26Z",
    "title_canon_sha256": "f074836d5f5fe7a362891e723b426cafac15b12933c2236a84a865a756226a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0847",
    "kind": "arxiv",
    "version": 1
  }
}