Pith Number

pith:42I3TVGF

pith:2011:42I3TVGF66G7AHSAV2IQE4MARK

not attested not anchored not stored refs pending

Groups Acting Freely on Calabi-Yau Threefolds Embedded in a Product of del Pezzo Surfaces

Filippo F. Favale, Gilberto Bini

arxiv:1104.0247 v1 · 2011-04-01 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42I3TVGF66G7AHSAV2IQE4MARK}

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	2026-05-18T04:25:04.358579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e691b9d4c5f78df01e40ae910271808aadc42ff48529fe2e4361dbf9b3034507

Aliases

arxiv: 1104.0247 · arxiv_version: 1104.0247v1 · doi: 10.48550/arxiv.1104.0247 · pith_short_12: 42I3TVGF66G7 · pith_short_16: 42I3TVGF66G7AHSA · pith_short_8: 42I3TVGF

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/42I3TVGF66G7AHSAV2IQE4MARK \
  | 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: e691b9d4c5f78df01e40ae910271808aadc42ff48529fe2e4361dbf9b3034507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2889ea5d9db9b7cca66517918782e9ca740192aa19929f8a396df214de6bec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-01T20:09:11Z",
    "title_canon_sha256": "b053faa7d0c31cb82e6b6531f09fe08dd7584509874175c8a7d7788ee95dda72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0247",
    "kind": "arxiv",
    "version": 1
  }
}