Pith Number

pith:LGCYARRO

pith:2016:LGCYARROSLP3UYHLRWM4IMW4FX

not attested not anchored not stored refs pending

On the $X$-coordinates of Pell equations which are Tribonacci numbers

Alain Togb\'e, Amanda Montejano, Florian Luca, Laszlo Szalay

arxiv:1612.09546 v1 · 2016-12-30 · 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{LGCYARROSLP3UYHLRWM4IMW4FX}

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	2026-05-18T00:53:41.243498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598580462e92dfba60eb8d99c432dc2dd03dcc464c0dc15fe4ef3747ddcd0900

Aliases

arxiv: 1612.09546 · arxiv_version: 1612.09546v1 · doi: 10.48550/arxiv.1612.09546 · pith_short_12: LGCYARROSLP3 · pith_short_16: LGCYARROSLP3UYHL · pith_short_8: LGCYARRO

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/LGCYARROSLP3UYHLRWM4IMW4FX \
  | 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: 598580462e92dfba60eb8d99c432dc2dd03dcc464c0dc15fe4ef3747ddcd0900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d9873e262f03e9d023d7971140745bfa2aa428879bf981f21c21ec0a312dac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-30T17:50:30Z",
    "title_canon_sha256": "63860131a7172a7500141236cedc84201bc7fc2a8c0ce7a192e40d2570e7aa4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09546",
    "kind": "arxiv",
    "version": 1
  }
}