Pith Number

pith:OH4SQ4CN

pith:2012:OH4SQ4CNULK7TZGDB6FPHVUN2I

not attested not anchored not stored refs pending

Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $\mathbb{Q}$-Gorenstein smoothing

Francesco Polizzi, Yongnam Lee

arxiv:1201.4925 v2 · 2012-01-24 · 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{OH4SQ4CNULK7TZGDB6FPHVUN2I}

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	2026-05-18T00:19:09.286755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f928704da2d5f9e4c30f8af3d68dd216b4d4cd3387a535d4ea4ca94921fd8f

Aliases

arxiv: 1201.4925 · arxiv_version: 1201.4925v2 · doi: 10.48550/arxiv.1201.4925 · pith_short_12: OH4SQ4CNULK7 · pith_short_16: OH4SQ4CNULK7TZGD · pith_short_8: OH4SQ4CN

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/OH4SQ4CNULK7TZGDB6FPHVUN2I \
  | 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: 71f928704da2d5f9e4c30f8af3d68dd216b4d4cd3387a535d4ea4ca94921fd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0da6b502c9b8d81abc9e4dbc9447859b28aa67d61e0acee7f7b8a174749dc94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-24T08:22:03Z",
    "title_canon_sha256": "662a87251f5380e604c23894fd20aaa2f9f2f85beb6374b90897f9e55aba02ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4925",
    "kind": "arxiv",
    "version": 2
  }
}