Pith Number

pith:ISZ2PRW6

pith:2016:ISZ2PRW64BCCDTFCKXG5ICBJKC

not attested not anchored not stored refs pending

The class of Lucas-Lehmer polynomials

Alberto Maria Bersani, Pierluigi Vellucci

arxiv:1603.01989 v1 · 2016-03-07 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISZ2PRW64BCCDTFCKXG5ICBJKC}

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	2026-05-18T00:49:34.694620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b3a7c6dee04421cca255cdd40829509cb7384f823bad718998b9e579e8f58d

Aliases

arxiv: 1603.01989 · arxiv_version: 1603.01989v1 · doi: 10.48550/arxiv.1603.01989 · pith_short_12: ISZ2PRW64BCC · pith_short_16: ISZ2PRW64BCCDTFC · pith_short_8: ISZ2PRW6

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/ISZ2PRW64BCCDTFCKXG5ICBJKC \
  | 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: 44b3a7c6dee04421cca255cdd40829509cb7384f823bad718998b9e579e8f58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fd7f33c3566271104b1f1d76aad2eec6119ca6ffe4d6ac0994a2953f95c19a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-07T09:59:31Z",
    "title_canon_sha256": "ac6cdcfbf79df733f2690ab8c87c35d5f450234aab046aded0e7afa6cf55bcfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01989",
    "kind": "arxiv",
    "version": 1
  }
}