Pith Number

pith:RFBEKMWJ

pith:2019:RFBEKMWJ2UWPXOFYGMSFBM3K3N

not attested not anchored not stored refs pending

On members of Lucas sequences which are products of factorials

Florian Luca, Mark Sias, Shanta Laishram

arxiv:1901.01063 v1 · 2019-01-04 · 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{RFBEKMWJ2UWPXOFYGMSFBM3K3N}

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	2026-05-17T23:56:57.232918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89424532c9d52cfbb8b8332450b36adb43a513fa542a247ee710a523049f77fd

Aliases

arxiv: 1901.01063 · arxiv_version: 1901.01063v1 · doi: 10.48550/arxiv.1901.01063 · pith_short_12: RFBEKMWJ2UWP · pith_short_16: RFBEKMWJ2UWPXOFY · pith_short_8: RFBEKMWJ

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/RFBEKMWJ2UWPXOFYGMSFBM3K3N \
  | 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: 89424532c9d52cfbb8b8332450b36adb43a513fa542a247ee710a523049f77fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2e466b72beecb013655538c5213dbec89d8b36d59f39d0a496ceb9d47c2f8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-04T11:45:46Z",
    "title_canon_sha256": "3a21d8dfbc5c59cc3ff284cf51dc4f9a4478a0608825b9715e7d3343e17442e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01063",
    "kind": "arxiv",
    "version": 1
  }
}