Pith Number

pith:45LLBUF6

pith:2016:45LLBUF63EM5K4L527XXGFQ5IJ

not attested not anchored not stored refs pending

On the Lucas Property of Linear Recurrent Sequences

Hao Zhong, Tianxin Cai

arxiv:1603.07863 v2 · 2016-03-25 · 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{45LLBUF63EM5K4L527XXGFQ5IJ}

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	2026-05-18T00:54:15.731810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e756b0d0bed919d5717dd7ef73161d424328d55e4e0e1f8a765ed6ff1733a3fc

Aliases

arxiv: 1603.07863 · arxiv_version: 1603.07863v2 · doi: 10.48550/arxiv.1603.07863 · pith_short_12: 45LLBUF63EM5 · pith_short_16: 45LLBUF63EM5K4L5 · pith_short_8: 45LLBUF6

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/45LLBUF63EM5K4L527XXGFQ5IJ \
  | 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: e756b0d0bed919d5717dd7ef73161d424328d55e4e0e1f8a765ed6ff1733a3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748d86147f10445175380a699abfd3a1cafe4308b04c75ed9ef19e53090bfcc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-25T09:59:57Z",
    "title_canon_sha256": "d202ff47b0c605e7f395669ad1f4a3cdc8660b35463f98e6d68fe0e3a3ead22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07863",
    "kind": "arxiv",
    "version": 2
  }
}