Pith Number

pith:IVRLZZC3

pith:2015:IVRLZZC3CDHQHD5LMRBTWXZ3DN

not attested not anchored not stored refs pending

A note on degenerate poly-Bernoulli numbers and polynomials

Dae San Kim, Taekyun Kim

arxiv:1503.08418 v1 · 2015-03-29 · 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{IVRLZZC3CDHQHD5LMRBTWXZ3DN}

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	2026-05-18T02:20:01.808818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4562bce45b10cf038fab64433b5f3b1b4c9e0477a685d5eb190294e5eb0de812

Aliases

arxiv: 1503.08418 · arxiv_version: 1503.08418v1 · doi: 10.48550/arxiv.1503.08418 · pith_short_12: IVRLZZC3CDHQ · pith_short_16: IVRLZZC3CDHQHD5L · pith_short_8: IVRLZZC3

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/IVRLZZC3CDHQHD5LMRBTWXZ3DN \
  | 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: 4562bce45b10cf038fab64433b5f3b1b4c9e0477a685d5eb190294e5eb0de812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a32cabe7810ec9d8617639caa3cba6393e85a9b96ce9a430f6a4166ae92c7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-29T11:05:12Z",
    "title_canon_sha256": "b29f29a6d1d3a2d2780ca39337e0aa68b2356f62b833c26a0e0132b4e9804422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08418",
    "kind": "arxiv",
    "version": 1
  }
}