Pith Number

pith:PDK2TWNX

pith:2025:PDK2TWNXOOLRT75VR6KQBA7FGA

not attested not anchored not stored refs pending

On a Diophantine Equation Involving Lucas Numbers

Nazim I. Mahmudov, Seyran S. Ibrahimov

arxiv:2506.14379 v4 · 2025-06-17 · 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{PDK2TWNXOOLRT75VR6KQBA7FGA}

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	2026-07-14T01:20:44.547597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d5a9d9b7739719ffb58f950083e5302dde91c24e26e85b74a27cac0f00b110

Aliases

arxiv: 2506.14379 · arxiv_version: 2506.14379v4 · doi: 10.48550/arxiv.2506.14379 · pith_short_12: PDK2TWNXOOLR · pith_short_16: PDK2TWNXOOLRT75V · pith_short_8: PDK2TWNX

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/PDK2TWNXOOLRT75VR6KQBA7FGA \
  | 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: 78d5a9d9b7739719ffb58f950083e5302dde91c24e26e85b74a27cac0f00b110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d6fba1ddb6c922ef9ee1909bd5344cc55117cf2ccb0327776db0149d153b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-17T10:24:32Z",
    "title_canon_sha256": "3e1363b48ecabcd68f5c2b618ff8f551d3ef8ca133bd58cd871ece87334cae08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14379",
    "kind": "arxiv",
    "version": 4
  }
}