Pith Number

pith:UYEEWWWA

pith:2025:UYEEWWWAU5SFWCMUNO6TK5QGVP

not attested not anchored not stored refs pending

On the Lebesgue-Nagell equation $x^2-2 = y^p$

Ethan Katz, Kyle Pratt

arxiv:2507.12397 v2 · 2025-07-16 · 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{UYEEWWWAU5SFWCMUNO6TK5QGVP}

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	2026-07-05T11:43:33.703910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6084b5ac0a7645b09946bbd357606abd3065c0804569be3ee74fcff91c006ce

Aliases

arxiv: 2507.12397 · arxiv_version: 2507.12397v2 · doi: 10.48550/arxiv.2507.12397 · pith_short_12: UYEEWWWAU5SF · pith_short_16: UYEEWWWAU5SFWCMU · pith_short_8: UYEEWWWA

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/UYEEWWWAU5SFWCMUNO6TK5QGVP \
  | 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: a6084b5ac0a7645b09946bbd357606abd3065c0804569be3ee74fcff91c006ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169cf1092bd6ea12f8141523df71e569c12a468e87375f5cfcfd8b9e11d2a457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-16T16:42:12Z",
    "title_canon_sha256": "23a470356cf388be0bc304b5cf7b95818748e38f2adf8cc99282b36a738493ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12397",
    "kind": "arxiv",
    "version": 2
  }
}