Pith Number

pith:NK6N4WPY

pith:2016:NK6N4WPYGG4E65VF7FSUJ2G2WO

not attested not anchored not stored refs pending

Contre-exemples au principe de Hasse pour les courbes de Fermat

Alain Kraus

arxiv:1601.07698 v1 · 2016-01-28 · 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{NK6N4WPYGG4E65VF7FSUJ2G2WO}

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	2026-05-18T01:21:42.388705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abcde59f831b84f76a5f96544e8dab3be73de762a746d815a3dbd1dd2ec999a

Aliases

arxiv: 1601.07698 · arxiv_version: 1601.07698v1 · doi: 10.48550/arxiv.1601.07698 · pith_short_12: NK6N4WPYGG4E · pith_short_16: NK6N4WPYGG4E65VF · pith_short_8: NK6N4WPY

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/NK6N4WPYGG4E65VF7FSUJ2G2WO \
  | 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: 6abcde59f831b84f76a5f96544e8dab3be73de762a746d815a3dbd1dd2ec999a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd54b7bca96528389f8b6795a43b5192542d58c537ef683eda34111a98d011d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-28T09:24:30Z",
    "title_canon_sha256": "7556cf4824e921591ed527cf078684213dcf66e512419ae0cf7bf367baa9847f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07698",
    "kind": "arxiv",
    "version": 1
  }
}