Pith Number

pith:7L6S5ONS

pith:2011:7L6S5ONS5NOGLD7VKGDOBNMD2K

not attested not anchored not stored refs pending

Corrigendum to "Cullen numbers with the Lehmer Property"

Florian Luca, Jos\'e Mar\'ia Grau

arxiv:1112.3321 v1 · 2011-12-14 · 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{7L6S5ONS5NOGLD7VKGDOBNMD2K}

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	2026-05-18T04:06:19.500033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fafd2eb9b2eb5c658ff55186e0b583d2a8fcbd4bbaa3849a353d89efe921ce11

Aliases

arxiv: 1112.3321 · arxiv_version: 1112.3321v1 · doi: 10.48550/arxiv.1112.3321 · pith_short_12: 7L6S5ONS5NOG · pith_short_16: 7L6S5ONS5NOGLD7V · pith_short_8: 7L6S5ONS

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/7L6S5ONS5NOGLD7VKGDOBNMD2K \
  | 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: fafd2eb9b2eb5c658ff55186e0b583d2a8fcbd4bbaa3849a353d89efe921ce11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd66def6aea7edc4b7bdd3b2cdb1cd3f5611f710f44820314229eb2072bf43d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-14T20:16:08Z",
    "title_canon_sha256": "2dc251201c590283e6653ad32312cfc4cd488da271b8f956a65f2f4acfd7e1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3321",
    "kind": "arxiv",
    "version": 1
  }
}