Pith Number

pith:YUZ7VENK

pith:2021:YUZ7VENKNIE6MC3USIF2UV52NG

not attested not anchored not stored refs pending

Irreducibility of Severi varieties on K3 surfaces

Andrea Bruno, Margherita Lelli-Chiesa

arxiv:2112.09398 v3 · 2021-12-17 · 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{YUZ7VENKNIE6MC3USIF2UV52NG}

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

2 papers in Pith

Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves

Receipt and verification

First computed	2026-07-05T06:35:42.730580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c533fa91aa6a09e60b74920baa57ba69bc02fe41fb4eb48631c2a0870342efa2

Aliases

arxiv: 2112.09398 · arxiv_version: 2112.09398v3 · doi: 10.48550/arxiv.2112.09398 · pith_short_12: YUZ7VENKNIE6 · pith_short_16: YUZ7VENKNIE6MC3U · pith_short_8: YUZ7VENK

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/YUZ7VENKNIE6MC3USIF2UV52NG \
  | 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: c533fa91aa6a09e60b74920baa57ba69bc02fe41fb4eb48631c2a0870342efa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fefdacadb1759eef5a9aee19e08fbe51dd79b742db19f1a657d0728fadc6718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-17T09:09:27Z",
    "title_canon_sha256": "d26c2bc8f32aa27b4585c14ff60b751e6e6cfdabb111a8ab3b2a6a5c4ec08e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09398",
    "kind": "arxiv",
    "version": 3
  }
}