Pith Number

pith:VNVXLRIT

pith:2025:VNVXLRITGJY5ALPMDACB6YJJ75

not attested not anchored not stored refs pending

A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind

Abdelhay Benmoussa

arxiv:2505.22819 v5 · 2025-05-28 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNVXLRITGJY5ALPMDACB6YJJ75}

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	2026-07-05T12:11:18.271131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6b75c5133271d02dec18041f6129ff7211b39ada757f12ee0da4bdd90d0bd2

Aliases

arxiv: 2505.22819 · arxiv_version: 2505.22819v5 · doi: 10.48550/arxiv.2505.22819 · pith_short_12: VNVXLRITGJY5 · pith_short_16: VNVXLRITGJY5ALPM · pith_short_8: VNVXLRIT

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/VNVXLRITGJY5ALPMDACB6YJJ75 \
  | 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: ab6b75c5133271d02dec18041f6129ff7211b39ada757f12ee0da4bdd90d0bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f21dcd4d46a04ae378cd842b17e90cb946c0e5711a9188a4cc3f88d69e156c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-28T19:55:05Z",
    "title_canon_sha256": "6b95e55fea143c0410ceb3f29112084ecc84346cd01ba7316ef71b5f51fc6af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22819",
    "kind": "arxiv",
    "version": 5
  }
}