Pith Number

pith:5I7KPU56

pith:2024:5I7KPU56ETJCG3JIHRHRW73Y5P

not attested not anchored not stored refs pending

On the Diophantine Equation $F_n = F_l^k (F_l^m-1)$

Nazim I. Mahmudov, Seyran S. Ibrahimov

arxiv:2409.02047 v4 · 2024-09-03 · 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{5I7KPU56ETJCG3JIHRHRW73Y5P}

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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.

Cited by

1 paper in Pith

On a Diophantine Equation Involving Lucas Numbers

Receipt and verification

First computed	2026-07-05T09:50:05.047944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3ea7d3be24d2236d283c4f1b7f78ebd2ffcd0a05e0f90148e0dbe6b5baee55

Aliases

arxiv: 2409.02047 · arxiv_version: 2409.02047v4 · doi: 10.48550/arxiv.2409.02047 · pith_short_12: 5I7KPU56ETJC · pith_short_16: 5I7KPU56ETJCG3JI · pith_short_8: 5I7KPU56

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/5I7KPU56ETJCG3JIHRHRW73Y5P \
  | 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: ea3ea7d3be24d2236d283c4f1b7f78ebd2ffcd0a05e0f90148e0dbe6b5baee55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4e7112fe0ef31d869acf20f14af471b98f465dc6f6970a17c056d085e9aac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-03T16:52:58Z",
    "title_canon_sha256": "c3664846e1e93dc958a1ed64a94b9abe4f68fc6f5fc3c3b60ca055e0700728d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02047",
    "kind": "arxiv",
    "version": 4
  }
}