Pith Number

pith:HGV4VMMI

pith:2012:HGV4VMMILP43TA2BKJRMXJPGYW

not attested not anchored not stored refs pending

Vertical Brauer groups and del Pezzo surfaces of degree 4

Anthony V\'arilly-Alvarado, Bianca Viray

arxiv:1210.0920 v3 · 2012-10-02 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGV4VMMILP43TA2BKJRMXJPGYW}

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.

Receipt and verification

First computed	2026-05-18T03:21:54.075470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39abcab1885bf9b983415262cba5e6c59b8deb4b4f6ef75ce63522f8c9e0f315

Aliases

arxiv: 1210.0920 · arxiv_version: 1210.0920v3 · doi: 10.48550/arxiv.1210.0920 · pith_short_12: HGV4VMMILP43 · pith_short_16: HGV4VMMILP43TA2B · pith_short_8: HGV4VMMI

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/HGV4VMMILP43TA2BKJRMXJPGYW \
  | 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: 39abcab1885bf9b983415262cba5e6c59b8deb4b4f6ef75ce63522f8c9e0f315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b35ce88d3ab63ceb3705b329755441e9d0e4092e6353fefd52ad620242e767",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-02T20:36:53Z",
    "title_canon_sha256": "9d76ecdb5c503eb99ae9e4e76329deee315db84b2b79ff25559e50942a304d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0920",
    "kind": "arxiv",
    "version": 3
  }
}