Pith Number

pith:ZG664K7Q

pith:2014:ZG664K7QIN3BHFPMBPBFCCPIHR

not attested not anchored not stored refs pending

Rational curves and instantons on the Fano threefold $Y_5$

Giangiacomo Sanna

arxiv:1411.7994 v1 · 2014-11-28 · 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{ZG664K7QIN3BHFPMBPBFCCPIHR}

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

Double EPW cubes from twisted cubics on Gushel-Mukai fourfolds

Receipt and verification

First computed	2026-05-18T02:32:31.908227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bdee2bf043761395ec0bc25109e83c4afda4597a9a1c68007c2896199d3b15

Aliases

arxiv: 1411.7994 · arxiv_version: 1411.7994v1 · doi: 10.48550/arxiv.1411.7994 · pith_short_12: ZG664K7QIN3B · pith_short_16: ZG664K7QIN3BHFPM · pith_short_8: ZG664K7Q

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/ZG664K7QIN3BHFPMBPBFCCPIHR \
  | 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: c9bdee2bf043761395ec0bc25109e83c4afda4597a9a1c68007c2896199d3b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75a7ccd4b94324738ab95132176eef274d9a4f5a261a2f583d6c7f1b5021556",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-28T20:44:03Z",
    "title_canon_sha256": "584c1d5cecbc8d88c566391dc732e8cf8fded8d596c064055aca070b969d128e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7994",
    "kind": "arxiv",
    "version": 1
  }
}