Pith Number

pith:ZIOV5J7T

pith:2012:ZIOV5J7TRVAURA7RAEUKTADLMB

not attested not anchored not stored refs pending

On the largest prime factor of the $k-$Fibonacci numbers

Florian Luca, Jhon J. Bravo

arxiv:1210.4101 v1 · 2012-10-15 · 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{ZIOV5J7TRVAURA7RAEUKTADLMB}

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	2026-05-18T03:43:08.005702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1d5ea7f38d414883f10128a9806b605614ebced251afebfa81bfd65f476ff8

Aliases

arxiv: 1210.4101 · arxiv_version: 1210.4101v1 · doi: 10.48550/arxiv.1210.4101 · pith_short_12: ZIOV5J7TRVAU · pith_short_16: ZIOV5J7TRVAURA7R · pith_short_8: ZIOV5J7T

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/ZIOV5J7TRVAURA7RAEUKTADLMB \
  | 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: ca1d5ea7f38d414883f10128a9806b605614ebced251afebfa81bfd65f476ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cce019e58a9dcde5e60b99bc61836c276294b15a1da45ba23fb286e5f28ce37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-15T16:51:46Z",
    "title_canon_sha256": "b3191c24dda73da522a5d0664d370fb0e06f5884e48c2436f2776d82fb8999e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4101",
    "kind": "arxiv",
    "version": 1
  }
}