Pith Number

pith:PFTEULSX

pith:2018:PFTEULSX6556NQ452TJ3KFDBFR

not attested not anchored not stored refs pending

On the $x$--coordinates of Pell equations which are $k$--generalized Fibonacci numbers

Florian Luca, Mahadi Ddamulira

arxiv:1803.10434 v2 · 2018-03-28 · 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{PFTEULSX6556NQ452TJ3KFDBFR}

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	2026-05-18T00:19:02.056120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79664a2e57f77be6c39dd4d3b514612c5509d75d928003a5928dc7818376bb2a

Aliases

arxiv: 1803.10434 · arxiv_version: 1803.10434v2 · doi: 10.48550/arxiv.1803.10434 · pith_short_12: PFTEULSX6556 · pith_short_16: PFTEULSX6556NQ45 · pith_short_8: PFTEULSX

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/PFTEULSX6556NQ452TJ3KFDBFR \
  | 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: 79664a2e57f77be6c39dd4d3b514612c5509d75d928003a5928dc7818376bb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac275de4a8b000a669d07cb2f9ff29ec71dc9a287582708eba74dc4366cb896a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-28T07:25:38Z",
    "title_canon_sha256": "19a8ed33a8b1b4735a97b25c023b2cdbc995cf919ad9daf2748e1fe30d9dc887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10434",
    "kind": "arxiv",
    "version": 2
  }
}