Pith Number

pith:I4EQZZEU

pith:2013:I4EQZZEUGV46EPRJJVSQLXKSOU

not attested not anchored not stored refs pending

Cubic fourfolds containing a plane and K3 surfaces of Picard rank two

Federica Galluzzi

arxiv:1304.5900 v4 · 2013-04-22 · 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{I4EQZZEUGV46EPRJJVSQLXKSOU}

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	2026-05-18T01:11:44.048310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47090ce4943579e23e294d6505dd52750ed7fc1da726eb9353fbee21b9e5f7fd

Aliases

arxiv: 1304.5900 · arxiv_version: 1304.5900v4 · doi: 10.48550/arxiv.1304.5900 · pith_short_12: I4EQZZEUGV46 · pith_short_16: I4EQZZEUGV46EPRJ · pith_short_8: I4EQZZEU

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/I4EQZZEUGV46EPRJJVSQLXKSOU \
  | 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: 47090ce4943579e23e294d6505dd52750ed7fc1da726eb9353fbee21b9e5f7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835db6a7a04657e4b73f8795baa6f7be76884fb90074b1b3bb0685060df445ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-22T10:00:15Z",
    "title_canon_sha256": "d4b9b198764ee242bd254b3860382f5933d89e196c126e7eaad22be414aae278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5900",
    "kind": "arxiv",
    "version": 4
  }
}