Pith Number

pith:64XKZTSP

pith:2013:64XKZTSPFAZ3DO7QAUD3H4VGIQ

not attested not anchored not stored refs pending

Rational curves on Calabi-Yau threefolds and a conjecture of Oguiso

Simone Diverio

arxiv:1311.6612 v1 · 2013-11-26 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64XKZTSPFAZ3DO7QAUD3H4VGIQ}

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	2026-05-18T00:47:31.648348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09

Aliases

arxiv: 1311.6612 · arxiv_version: 1311.6612v1 · doi: 10.48550/arxiv.1311.6612 · pith_short_12: 64XKZTSPFAZ3 · pith_short_16: 64XKZTSPFAZ3DO7Q · pith_short_8: 64XKZTSP

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/64XKZTSPFAZ3DO7QAUD3H4VGIQ \
  | 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: f72eacce4f2833b1bbf00507b3f2a6441cfb6e8e4b828be0b4aa6f357ee8ad09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b2c9b9330d7f2326deb91738585c6f9dd8a19f2c8b18d8f9a2cea92096180e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-26T10:18:15Z",
    "title_canon_sha256": "786b5c6e984626ccbc6aae0f8b153a797802372294c76b2b7052d5a7c3308fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6612",
    "kind": "arxiv",
    "version": 1
  }
}