Pith Number

pith:HSKESU66

pith:2013:HSKESU66BQFZPRKKUW4THCB4IU

not attested not anchored not stored refs pending

On Squares in Lucas Sequences

Francesca Balestrieri

arxiv:1309.0744 v1 · 2013-09-02 · 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{HSKESU66BQFZPRKKUW4THCB4IU}

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	2026-05-18T03:14:18.107901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c944953de0c0b97c54aa5b933883c450eeecbbb2a43e163c2eda9952c87b1a5

Aliases

arxiv: 1309.0744 · arxiv_version: 1309.0744v1 · doi: 10.48550/arxiv.1309.0744 · pith_short_12: HSKESU66BQFZ · pith_short_16: HSKESU66BQFZPRKK · pith_short_8: HSKESU66

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/HSKESU66BQFZPRKKUW4THCB4IU \
  | 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: 3c944953de0c0b97c54aa5b933883c450eeecbbb2a43e163c2eda9952c87b1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb08dd7d2a576567173919e53662a058d72f11d7836812d10acd9083b3f210aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-02T17:10:36Z",
    "title_canon_sha256": "1bce4f570f509c2eddee09b8c2b8216d31b582196cf5b102fc766a63347b190c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0744",
    "kind": "arxiv",
    "version": 1
  }
}