Pith Number

pith:WVSKV4D2

pith:2012:WVSKV4D2G57QXTI43S4WH7GXI6

not attested not anchored not stored refs pending

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials

Erdo\u{g}an \c{S}en, Mehmet Acikgoz, Serkan Araci

arxiv:1209.0628 v2 · 2012-09-04 · 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{WVSKV4D2G57QXTI43S4WH7GXI6}

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	2026-05-17T23:41:37.762958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b564aaf07a377f0bcd1cdcb963fcd747838b108817041376643ae075b751beb8

Aliases

arxiv: 1209.0628 · arxiv_version: 1209.0628v2 · doi: 10.48550/arxiv.1209.0628 · pith_short_12: WVSKV4D2G57Q · pith_short_16: WVSKV4D2G57QXTI4 · pith_short_8: WVSKV4D2

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/WVSKV4D2G57QXTI43S4WH7GXI6 \
  | 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: b564aaf07a377f0bcd1cdcb963fcd747838b108817041376643ae075b751beb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493aedf73ca34afa6982be3b562ff370837638568d524b0b36e39d6f21ba9827",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-04T12:31:26Z",
    "title_canon_sha256": "bb20fe677c378223a2878c5649970ad167115bd1e7a76c5eea298934f54495be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0628",
    "kind": "arxiv",
    "version": 2
  }
}