Pith Number

pith:ICMG7YJV

pith:2012:ICMG7YJVCE7WEH2PCTJHBUM6SN

not attested not anchored not stored refs pending

Brauer groups of singular del Pezzo surfaces

Martin Bright

arxiv:1201.4299 v2 · 2012-01-20 · 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{ICMG7YJVCE7WEH2PCTJHBUM6SN}

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	2026-05-18T03:13:43.717909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40986fe135113f621f4f14d270d19e9376fd902fcbfb3e3f69b5a90a37fa9668

Aliases

arxiv: 1201.4299 · arxiv_version: 1201.4299v2 · doi: 10.48550/arxiv.1201.4299 · pith_short_12: ICMG7YJVCE7W · pith_short_16: ICMG7YJVCE7WEH2P · pith_short_8: ICMG7YJV

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/ICMG7YJVCE7WEH2PCTJHBUM6SN \
  | 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: 40986fe135113f621f4f14d270d19e9376fd902fcbfb3e3f69b5a90a37fa9668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478b615b4fc2018237058819a77034672499978cbe65c97236c17f6ed268099d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-20T14:20:16Z",
    "title_canon_sha256": "12fe015420c7285d40fa3704ce27a605993819769c467922b61fad636f0d2e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4299",
    "kind": "arxiv",
    "version": 2
  }
}