Pith Number

pith:HOKXIVCY

pith:2000:HOKXIVCY3XOPJ5LZPTTMMNE7A4

not attested not anchored not stored refs pending

Multi-variable Polynomial Solutions to Pell's Equation and Fundamental Units in Real Quadratic Fields

James Mc Laughlin

arxiv:math/0001190 v2 · 2000-01-31 · 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{HOKXIVCY3XOPJ5LZPTTMMNE7A4}

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	2026-05-17T23:56:56.640634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b95745458dddcf4f5797ce6c6349f071ea38525970f4dd36e81c61c41c1d6f0

Aliases

arxiv: math/0001190 · arxiv_version: math/0001190v2 · doi: 10.48550/arxiv.math/0001190 · pith_short_12: HOKXIVCY3XOP · pith_short_16: HOKXIVCY3XOPJ5LZ · pith_short_8: HOKXIVCY

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/HOKXIVCY3XOPJ5LZPTTMMNE7A4 \
  | 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: 3b95745458dddcf4f5797ce6c6349f071ea38525970f4dd36e81c61c41c1d6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babd4f1000a3f519429f78364120e6e71aa461740905cf14b153c4c3b80d5d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2000-01-31T00:00:00Z",
    "title_canon_sha256": "88d9b4839ade0888563bacb6cd20d7a25de7d2c58b97143e7554cb479f75ef93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001190",
    "kind": "arxiv",
    "version": 2
  }
}