Pith Number

pith:D2SJH57P

pith:2014:D2SJH57PPCBLUJTYFCCHE4QC6F

not attested not anchored not stored refs pending

An explicit formula for Bernoulli polynomials in terms of $r$-Stirling numbers of the second kind

Bai-Ni Guo, Feng Qi, Istv\'an Mez\H{o}

arxiv:1402.2340 v1 · 2014-02-11 · math.CO · math.CA · 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{D2SJH57PPCBLUJTYFCCHE4QC6F}

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	2026-05-18T00:42:52.083815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea493f7ef7882ba26782884727202f17814445c0159a9390f529b2a6e2ad94f

Aliases

arxiv: 1402.2340 · arxiv_version: 1402.2340v1 · doi: 10.48550/arxiv.1402.2340 · pith_short_12: D2SJH57PPCBL · pith_short_16: D2SJH57PPCBLUJTY · pith_short_8: D2SJH57P

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/D2SJH57PPCBLUJTYFCCHE4QC6F \
  | 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: 1ea493f7ef7882ba26782884727202f17814445c0159a9390f529b2a6e2ad94f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a116c613ab4bf191a79c7814dd1863faae0d0f63f8bbe0325ea31fd34b4c777f",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-11T00:38:11Z",
    "title_canon_sha256": "413b324e55c6a4a3b595ac055af8f6dfdcdd62a9ce50a8da59aaeeb2ab4bb1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2340",
    "kind": "arxiv",
    "version": 1
  }
}