Pith Number

pith:O22KKHHW

pith:2015:O22KKHHWNFVH3U5MGLKKTZUW2A

not attested not anchored not stored refs pending

On Generalized Multi Poly-Euler and Multi Poly-Bernoulli Polynomials

Cristina B. Corcino, Hassan Jolany, Roberto B. Corcino, Takao Komatsu

arxiv:1512.05293 v1 · 2015-12-16 · 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{O22KKHHWNFVH3U5MGLKKTZUW2A}

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	2026-05-18T00:10:04.516229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b4a51cf6696a7dd3ac32d4a9e696d0075d86ba123e8635de10a8ec25db1a4b

Aliases

arxiv: 1512.05293 · arxiv_version: 1512.05293v1 · doi: 10.48550/arxiv.1512.05293 · pith_short_12: O22KKHHWNFVH · pith_short_16: O22KKHHWNFVH3U5M · pith_short_8: O22KKHHW

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/O22KKHHWNFVH3U5MGLKKTZUW2A \
  | 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: 76b4a51cf6696a7dd3ac32d4a9e696d0075d86ba123e8635de10a8ec25db1a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b1654642fc1dbadd8cf693d6a243db15a5bbd43948c9c07adea25b304174ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-16T19:32:09Z",
    "title_canon_sha256": "78e0e002910e8cb67769589cec57d56df81f1d304f00db4ea2bb914fb7994dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05293",
    "kind": "arxiv",
    "version": 1
  }
}