Pith Number

pith:OEKHYL7J

pith:2019:OEKHYL7JZHOBLC7VTIPU6MXINC

not attested not anchored not stored refs pending

On the negative Pell equation

Carlo Pagano, Djordjo Milovic, Peter Koymans, Stephanie Chan

arxiv:1908.01752 v1 · 2019-08-05 · 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{OEKHYL7JZHOBLC7VTIPU6MXINC}

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	2026-07-05T05:15:07.862119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71147c2fe9c9dc158bf59a1f4f32e868840b96b1c2d2894b84d9666779e3bfc5

Aliases

arxiv: 1908.01752 · arxiv_version: 1908.01752v1 · doi: 10.48550/arxiv.1908.01752 · pith_short_12: OEKHYL7JZHOB · pith_short_16: OEKHYL7JZHOBLC7V · pith_short_8: OEKHYL7J

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/OEKHYL7JZHOBLC7VTIPU6MXINC \
  | 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: 71147c2fe9c9dc158bf59a1f4f32e868840b96b1c2d2894b84d9666779e3bfc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "801932e5f992567ceaa586eca4934ac8328d19f78b7bb802b0ba82527fd49968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-05T17:50:14Z",
    "title_canon_sha256": "9834a20aa847841d29d1f745d3e62186852f90a6e81d1c70110119f3fada1687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01752",
    "kind": "arxiv",
    "version": 1
  }
}