Pith Number

pith:FMOFZ4IP

pith:2018:FMOFZ4IPCIQXD6N37RBSX2RHPZ

not attested not anchored not stored refs pending

Explicit rationality of some cubic fourfolds

Francesco Russo, Giovanni Staglian\`o

arxiv:1811.03502 v2 · 2018-11-08 · 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{FMOFZ4IPCIQXD6N37RBSX2RHPZ}

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.

Cited by

1 paper in Pith

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds

Receipt and verification

First computed	2026-07-05T00:00:53.111303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1c5cf10f122171f9bbfc432bea277e62275fcd86df7141cc303a28838569cd

Aliases

arxiv: 1811.03502 · arxiv_version: 1811.03502v2 · doi: 10.48550/arxiv.1811.03502 · pith_short_12: FMOFZ4IPCIQX · pith_short_16: FMOFZ4IPCIQXD6N3 · pith_short_8: FMOFZ4IP

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/FMOFZ4IPCIQXD6N37RBSX2RHPZ \
  | 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: 2b1c5cf10f122171f9bbfc432bea277e62275fcd86df7141cc303a28838569cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4352b32fc29a5418df8aa0dd6aec7f9a1edc5484688e4dad743d96d8713dd11b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-08T15:44:39Z",
    "title_canon_sha256": "b45b1375f5ebf99bc43ab04d74a1a260730c580c376f47f4b47a4caaf40afffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03502",
    "kind": "arxiv",
    "version": 2
  }
}