Pith Number

pith:KIBILMW4

pith:2018:KIBILMW4ZCWXOB477B4B6UZ4EF

not attested not anchored not stored refs pending

Shifted powers in Lucas-Lehmer sequences

Michael Bennett, Samir Siksek, Vandita Patel

arxiv:1811.10889 v1 · 2018-11-27 · 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{KIBILMW4ZCWXOB477B4B6UZ4EF}

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	2026-05-17T23:59:47.213283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520285b2dcc8ad77079ff8781f533c215fb2d08de9c765c52632e936fb7bf344

Aliases

arxiv: 1811.10889 · arxiv_version: 1811.10889v1 · doi: 10.48550/arxiv.1811.10889 · pith_short_12: KIBILMW4ZCWX · pith_short_16: KIBILMW4ZCWXOB47 · pith_short_8: KIBILMW4

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/KIBILMW4ZCWXOB477B4B6UZ4EF \
  | 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: 520285b2dcc8ad77079ff8781f533c215fb2d08de9c765c52632e936fb7bf344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca80702e7fbd3de94ae1714d1a0f1c16b344924f8ce4bdb4396038cf891d2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-27T09:29:13Z",
    "title_canon_sha256": "2b6672bfff6c0aa801b7d2e1c8ccf4fb8b3831241af67ef253a92a7814ea5c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10889",
    "kind": "arxiv",
    "version": 1
  }
}