Pith Number

pith:W7W65QKD

pith:2012:W7W65QKDVLE5J7LFRIF5545RUS

not attested not anchored not stored refs pending

Classe d'isog\'enie de vari\'et\'es ab\'eliennes pleinement de type GSp

Nicolas Ratazzi

arxiv:1211.4387 v2 · 2012-11-19 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7W65QKDVLE5J7LFRIF5545RUS}

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	2026-05-18T02:42:26.097387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7edeec143aac9d4fd658a0bdef3b1a4a1dd27f0857f776ba015cae654f2d4f1

Aliases

arxiv: 1211.4387 · arxiv_version: 1211.4387v2 · doi: 10.48550/arxiv.1211.4387 · pith_short_12: W7W65QKDVLE5 · pith_short_16: W7W65QKDVLE5J7LF · pith_short_8: W7W65QKD

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/W7W65QKDVLE5J7LFRIF5545RUS \
  | 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: b7edeec143aac9d4fd658a0bdef3b1a4a1dd27f0857f776ba015cae654f2d4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8e23e8f47c2316fd431d4dc749420992f890401b7ecba2d16b4b8597552844",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-19T12:27:46Z",
    "title_canon_sha256": "c47c965fa0be2840e6a0e0f9b077f977e5fb330f2ef039b13c851e8efdf78cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4387",
    "kind": "arxiv",
    "version": 2
  }
}