Pith Number

pith:FF7U5U5H

pith:2011:FF7U5U5HYZGV5GS63Z63OYZ4JM

not attested not anchored not stored refs pending

Using Lucas Sequences to Generalize a Theorem of Sierpi\'nski

Lenny Jones

arxiv:1106.2029 v1 · 2011-06-10 · 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{FF7U5U5HYZGV5GS63Z63OYZ4JM}

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	2026-05-18T04:20:13.831118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297f4ed3a7c64d5e9a5ede7db7633c4b0e1f25449a14021a6cd8ad1182fe16fc

Aliases

arxiv: 1106.2029 · arxiv_version: 1106.2029v1 · doi: 10.48550/arxiv.1106.2029 · pith_short_12: FF7U5U5HYZGV · pith_short_16: FF7U5U5HYZGV5GS6 · pith_short_8: FF7U5U5H

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/FF7U5U5HYZGV5GS63Z63OYZ4JM \
  | 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: 297f4ed3a7c64d5e9a5ede7db7633c4b0e1f25449a14021a6cd8ad1182fe16fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8373593b207fd03a701aaad1e58e8b90e255a308aef02f21806d251ed0294f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-10T12:11:41Z",
    "title_canon_sha256": "d48ba02173a32e5829666ae29dca748d09f9a4813c1d77a0586c0d33504cc435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2029",
    "kind": "arxiv",
    "version": 1
  }
}