Pith Number

pith:GLBY6HVR

pith:2011:GLBY6HVR5VSRV5RMGQXPD4APKD

not attested not anchored not stored refs pending

Mixed quasi-\'etale surfaces, new surfaces of general type with $p_g=0$ and their fundamental group

Davide Frapporti

arxiv:1105.1259 v3 · 2011-05-06 · 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{GLBY6HVR5VSRV5RMGQXPD4APKD}

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	2026-05-18T03:27:23.325201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e

Aliases

arxiv: 1105.1259 · arxiv_version: 1105.1259v3 · doi: 10.48550/arxiv.1105.1259 · pith_short_12: GLBY6HVR5VSR · pith_short_16: GLBY6HVR5VSRV5RM · pith_short_8: GLBY6HVR

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/GLBY6HVR5VSRV5RMGQXPD4APKD \
  | 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: 32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741e7bc5610c5f1e4c18fd342dc4223be9acc1201011d6d26304683d96c3ff4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-06T10:40:38Z",
    "title_canon_sha256": "a5805e15fbc5f11380296b44be534435038418a9eb8fff88c1901aa05c6af14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1259",
    "kind": "arxiv",
    "version": 3
  }
}