Pith Number

pith:D2JDXXCT

pith:2014:D2JDXXCTIK4CAS6NN2LXM2Z63H

not attested not anchored not stored refs pending

The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences

Christian Ballot

arxiv:1409.8629 v1 · 2014-09-30 · 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{D2JDXXCTIK4CAS6NN2LXM2Z63H}

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.

Cited by

1 paper in Pith

Deep Vision: A Formal Proof of Wolstenholmes Theorem in Lean 4

Receipt and verification

First computed	2026-05-18T02:41:24.055590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e923bdc5342b8204bcd6e97766b3ed9fe4aa276f7d93b76fa151ebd6fff62b0

Aliases

arxiv: 1409.8629 · arxiv_version: 1409.8629v1 · doi: 10.48550/arxiv.1409.8629 · pith_short_12: D2JDXXCTIK4C · pith_short_16: D2JDXXCTIK4CAS6N · pith_short_8: D2JDXXCT

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/D2JDXXCTIK4CAS6NN2LXM2Z63H \
  | 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: 1e923bdc5342b8204bcd6e97766b3ed9fe4aa276f7d93b76fa151ebd6fff62b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd418d0babd133d776012606e2665df778389efd882e1b17eb133afadb1c849",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-30T16:58:10Z",
    "title_canon_sha256": "ab3dfa6cf96f7ec71a3f7d20c95c87ca044cf321fc644f307865462976eb1f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8629",
    "kind": "arxiv",
    "version": 1
  }
}