Pith Number

pith:J5ZN6SD5

pith:2011:J5ZN6SD5VZBXI5CYAC7T4HD4TH

not attested not anchored not stored refs pending

The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through Q-curves

Luis Dieulefait, Nuno Freitas

arxiv:1103.5388 v1 · 2011-03-28 · 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{J5ZN6SD5VZBXI5CYAC7T4HD4TH}

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	2026-05-18T04:25:38.173545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f72df487dae4374745800bf3e1c7c99c420ddb6a3f0eb709e0ec0213efe5d76

Aliases

arxiv: 1103.5388 · arxiv_version: 1103.5388v1 · doi: 10.48550/arxiv.1103.5388 · pith_short_12: J5ZN6SD5VZBX · pith_short_16: J5ZN6SD5VZBXI5CY · pith_short_8: J5ZN6SD5

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/J5ZN6SD5VZBXI5CYAC7T4HD4TH \
  | 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: 4f72df487dae4374745800bf3e1c7c99c420ddb6a3f0eb709e0ec0213efe5d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "574959588354a8d6bbbe735016b93a7bf4ca55d8587cce2d9ae2d004d963b305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-28T15:12:27Z",
    "title_canon_sha256": "007751a88d90e08c1ec5a983ab44ca30f860ac814e3cf9f3b8fdbd528aa93198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5388",
    "kind": "arxiv",
    "version": 1
  }
}