Pith Number

pith:M7SN4PF3

pith:2015:M7SN4PF3NZQPD62DPKUSNJ2Y7I

not attested not anchored not stored refs pending

Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$

Samir Siksek, Samuele Anni

arxiv:1506.02860 v2 · 2015-06-09 · 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{M7SN4PF3NZQPD62DPKUSNJ2Y7I}

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	2026-05-18T01:05:46.277483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e4de3cbb6e60f1fb437aa926a758fa09db5f8fcf2cfb8bf93f97f0ffeb6a86

Aliases

arxiv: 1506.02860 · arxiv_version: 1506.02860v2 · doi: 10.48550/arxiv.1506.02860 · pith_short_12: M7SN4PF3NZQP · pith_short_16: M7SN4PF3NZQPD62D · pith_short_8: M7SN4PF3

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/M7SN4PF3NZQPD62DPKUSNJ2Y7I \
  | 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: 67e4de3cbb6e60f1fb437aa926a758fa09db5f8fcf2cfb8bf93f97f0ffeb6a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98792dd2b4635599d574d6367dcd78498e9807edbdf8d3e58243327e9a9140c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-09T10:56:49Z",
    "title_canon_sha256": "ca775bf1de16267b1b0219621636b64fdf5afc793af578677f3e7143ab25a852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02860",
    "kind": "arxiv",
    "version": 2
  }
}