Pith Number

pith:ZP6IKWOT

pith:2019:ZP6IKWOTPCKJA3BK2UHWFA3A6D

not attested not anchored not stored refs pending

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

Francesco Russo, Giovanni Staglian\`o

arxiv:1909.01263 v4 · 2019-09-03 · 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{ZP6IKWOTPCKJA3BK2UHWFA3A6D}

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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	2026-07-05T03:35:47.717933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbfc8559d37894906c2ad50f628360f0e9d68bcb46cb3e77b8cb6cc81dbcf373

Aliases

arxiv: 1909.01263 · arxiv_version: 1909.01263v4 · doi: 10.48550/arxiv.1909.01263 · pith_short_12: ZP6IKWOTPCKJ · pith_short_16: ZP6IKWOTPCKJA3BK · pith_short_8: ZP6IKWOT

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/ZP6IKWOTPCKJA3BK2UHWFA3A6D \
  | 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: cbfc8559d37894906c2ad50f628360f0e9d68bcb46cb3e77b8cb6cc81dbcf373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b20c16aa2fae56ffedf80163bbb84aa0d256c1a4286ee67210c51745ca5bf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-03T15:53:55Z",
    "title_canon_sha256": "e777c7fcb499528a5e1fbe111ec74dd7598eafb335a084677381f08391203760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01263",
    "kind": "arxiv",
    "version": 4
  }
}