Pith Number

pith:JHTPV3CJ

pith:2012:JHTPV3CJ4XM2ZBGNABOFIAPLJT

not attested not anchored not stored refs pending

A note on the q-Dedekind-type Daehee-Changhee sums with weight alpha arising from modified q-Genocchi polynomials with weight alpha

Ayhan Esi, Mehmet Acikgoz, Serkan Araci

arxiv:1211.2350 v1 · 2012-11-10 · 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{JHTPV3CJ4XM2ZBGNABOFIAPLJT}

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	2026-05-18T03:35:13.508700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e6faec49e5d9ac84cd005c5401eb4cf642d3c8b6ec58075acc04e7aa197557

Aliases

arxiv: 1211.2350 · arxiv_version: 1211.2350v1 · doi: 10.48550/arxiv.1211.2350 · pith_short_12: JHTPV3CJ4XM2 · pith_short_16: JHTPV3CJ4XM2ZBGN · pith_short_8: JHTPV3CJ

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/JHTPV3CJ4XM2ZBGNABOFIAPLJT \
  | 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: 49e6faec49e5d9ac84cd005c5401eb4cf642d3c8b6ec58075acc04e7aa197557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3a6b6d291c3f20578e80f72d2d58104182f4d557906ba79ef43ee97d7f1e30",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-10T21:03:45Z",
    "title_canon_sha256": "66e6675975eab5c1a58c25a499dd057499d56b128b212ae30280524e6790ec47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2350",
    "kind": "arxiv",
    "version": 1
  }
}