Pith Number

pith:D3IGO4CO

pith:2012:D3IGO4COWAK7NNPSZRYMGTXJEJ

not attested not anchored not stored refs pending

A generalization of the Castelnuovo-de Franchis inequality

V\'ictor Gonz\'alez-Alonso

arxiv:1211.2486 v1 · 2012-11-12 · 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{D3IGO4COWAK7NNPSZRYMGTXJEJ}

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	2026-05-18T03:41:03.199051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed067704eb015f6b5f2cc70c34ee9225aae934484b00b8b242758b8f031919f

Aliases

arxiv: 1211.2486 · arxiv_version: 1211.2486v1 · doi: 10.48550/arxiv.1211.2486 · pith_short_12: D3IGO4COWAK7 · pith_short_16: D3IGO4COWAK7NNPS · pith_short_8: D3IGO4CO

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/D3IGO4COWAK7NNPSZRYMGTXJEJ \
  | 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: 1ed067704eb015f6b5f2cc70c34ee9225aae934484b00b8b242758b8f031919f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d79a0a894c8d2464f8f6c106342f1a2503b7e268c0f2c08967a2560cec837e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-12T00:32:04Z",
    "title_canon_sha256": "18a2d807919e10b6c1b417146102aaf4cc7eba3b698371b1639b4a36f8ef4a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2486",
    "kind": "arxiv",
    "version": 1
  }
}