Pith Number

pith:35DPYABT

pith:2010:35DPYABT744KMMTUSHZB4BT4KU

not attested not anchored not stored refs pending

A family of generalized q-Genocchi numbers and polynomials

Byungje Lee, C. S. Ryoo, T. Kim

arxiv:1008.1436 v1 · 2010-08-09 · 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{35DPYABT744KMMTUSHZB4BT4KU}

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	2026-05-18T04:42:24.302133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df46fc0033ff38a6327491f21e067c553340d0c30ee2ffde57e51b918c2a70f2

Aliases

arxiv: 1008.1436 · arxiv_version: 1008.1436v1 · doi: 10.48550/arxiv.1008.1436 · pith_short_12: 35DPYABT744K · pith_short_16: 35DPYABT744KMMTU · pith_short_8: 35DPYABT

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/35DPYABT744KMMTUSHZB4BT4KU \
  | 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: df46fc0033ff38a6327491f21e067c553340d0c30ee2ffde57e51b918c2a70f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0647efd901b4c6f4c7871c59b933561b580ee676d0959422f99d173f4cb5f343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-09T01:28:41Z",
    "title_canon_sha256": "4c387b41de31c95af307c1589ea8e054fb6b9196a9142bfe6db81e663dae6010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1436",
    "kind": "arxiv",
    "version": 1
  }
}