Pith Number

pith:QDQ7AP3D

pith:2023:QDQ7AP3D35TIG7V5I77YYXQAZR

not attested not anchored not stored refs pending

Semipositive line bundles and (1,1)-classes

Valentino Tosatti

arxiv:2309.00580 v2 · 2023-09-01 · math.CV · 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{QDQ7AP3D35TIG7V5I77YYXQAZR}

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

Transcendental Minimal Model Program for Projective Varieties

Receipt and verification

First computed	2026-06-09T02:08:25.275025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e1f03f63df66837ebd47ff8c5e00cc7558aa80b4075e4a785193809686e829

Aliases

arxiv: 2309.00580 · arxiv_version: 2309.00580v2 · doi: 10.48550/arxiv.2309.00580 · pith_short_12: QDQ7AP3D35TI · pith_short_16: QDQ7AP3D35TIG7V5 · pith_short_8: QDQ7AP3D

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/QDQ7AP3D35TIG7V5I77YYXQAZR \
  | 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: 80e1f03f63df66837ebd47ff8c5e00cc7558aa80b4075e4a785193809686e829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34662e76a19206d32a095e3b7885d35943f55b37bb1ae98c4d97a6f04a296abd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2023-09-01T16:53:53Z",
    "title_canon_sha256": "788fce81da9c2c1a7e516981ff9c28c8814c8c82d7f3af5998d41e4833e87a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00580",
    "kind": "arxiv",
    "version": 2
  }
}