Pith Number

pith:N7UQR3MK

pith:2009:N7UQR3MKJLCMI4O35XAFHH4YOJ

not attested not anchored not stored refs pending

Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces

Rita Pardini, Valery Alexeev

arxiv:0901.4431 v4 · 2009-01-28 · 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{N7UQR3MKJLCMI4O35XAFHH4YOJ}

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

The virtual fundamental class for the moduli space of surfaces of general type

Geography and Deformations of $\mathbb{Z}_2^s$-Covers of General Type Over Weighted Projective Threefolds

Receipt and verification

First computed	2026-07-05T11:02:36.565814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863

Aliases

arxiv: 0901.4431 · arxiv_version: 0901.4431v4 · doi: 10.48550/arxiv.0901.4431 · pith_short_12: N7UQR3MKJLCM · pith_short_16: N7UQR3MKJLCMI4O3 · pith_short_8: N7UQR3MK

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/N7UQR3MKJLCMI4O35XAFHH4YOJ \
  | 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: 6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c6077e7ed75f852a13dc7723f322afcae39990e66ada349d34a1648a7d4716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-28T10:33:40Z",
    "title_canon_sha256": "83e0aef56ce1e1a07ce5f0eaa9ad29bab232cd77bf056ce7bb42aea9df173c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4431",
    "kind": "arxiv",
    "version": 4
  }
}