Pith Number

pith:JRVQKTJR

pith:2014:JRVQKTJRW73D4NH45BRVWLPFLC

not attested not anchored not stored refs pending

Generalized Bernoulli numbers and a formula of Lucas

C. Vignat, V. H. Moll

arxiv:1402.2993 v1 · 2014-02-12 · 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{JRVQKTJRW73D4NH45BRVWLPFLC}

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	2026-05-18T02:59:08.122057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c6b054d31b7f63e34fce8635b2de558b92b797686ed993982bdb808080124f3

Aliases

arxiv: 1402.2993 · arxiv_version: 1402.2993v1 · doi: 10.48550/arxiv.1402.2993 · pith_short_12: JRVQKTJRW73D · pith_short_16: JRVQKTJRW73D4NH4 · pith_short_8: JRVQKTJR

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/JRVQKTJRW73D4NH45BRVWLPFLC \
  | 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: 4c6b054d31b7f63e34fce8635b2de558b92b797686ed993982bdb808080124f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5d34aff592b36053bee66b0fadb5aa960a39a94d9fbf2a51e8c216222f6950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-12T21:44:07Z",
    "title_canon_sha256": "da26f02b276bb684e45c0c15055d075bb923ff6a86fdff02e07678a02ce00155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2993",
    "kind": "arxiv",
    "version": 1
  }
}