Pith Number

pith:QL76ZIJJ

pith:2015:QL76ZIJJB3DA6GX3BNVQ5LB5X7

not attested not anchored not stored refs pending

Some applications of degenerate poly-Bernoulli numbers and polynomials

Dae San Kim, Taekyun Kim

arxiv:1506.03424 v1 · 2015-06-10 · 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{QL76ZIJJB3DA6GX3BNVQ5LB5X7}

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	2026-05-18T01:55:24.788811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ffeca1290ec60f1afb0b6b0eac3dbfc9631d41cec784eb4126533d067a23e3

Aliases

arxiv: 1506.03424 · arxiv_version: 1506.03424v1 · doi: 10.48550/arxiv.1506.03424 · pith_short_12: QL76ZIJJB3DA · pith_short_16: QL76ZIJJB3DA6GX3 · pith_short_8: QL76ZIJJ

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/QL76ZIJJB3DA6GX3BNVQ5LB5X7 \
  | 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: 82ffeca1290ec60f1afb0b6b0eac3dbfc9631d41cec784eb4126533d067a23e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceda2daceaa6b995cd0513e7d9602229ac1db91ce67a33bfb63c784a90a6a158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-10T18:39:43Z",
    "title_canon_sha256": "6b7dc739deeca6d443293f328540da6099c6d424791aa1a80d1ca852ace6e3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03424",
    "kind": "arxiv",
    "version": 1
  }
}