Pith Number

pith:BGW5CPRU

pith:2024:BGW5CPRUJ66SWQQQ34ZVEG2GKO

not attested not anchored not stored refs pending

Classification of Horikawa surfaces with T-singularities

Giancarlo Urz\'ua, Jaime Negrete, Vicente Monreal

arxiv:2410.02943 v3 · 2024-10-03 · math.AG · math.DG · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGW5CPRUJ66SWQQQ34ZVEG2GKO}

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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

1 paper in Pith

Normal stable degenerations of Noether-Horikawa surfaces

Receipt and verification

First computed	2026-07-05T11:33:16.455091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09add13e344fbd2b4210df33521b46539fb038da2e5f59da6ffdba45db16b826

Aliases

arxiv: 2410.02943 · arxiv_version: 2410.02943v3 · doi: 10.48550/arxiv.2410.02943 · pith_short_12: BGW5CPRUJ66S · pith_short_16: BGW5CPRUJ66SWQQQ · pith_short_8: BGW5CPRU

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/BGW5CPRUJ66SWQQQ34ZVEG2GKO \
  | 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: 09add13e344fbd2b4210df33521b46539fb038da2e5f59da6ffdba45db16b826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3309ef81bba2b28ef20655b22516ad478fe9cd715431f4a0903d794f9f7b7a",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-03T19:38:34Z",
    "title_canon_sha256": "832b42a20f02cb7c8af08160fa2893ed9513a872c58ae63a85df88c6f7b6e85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02943",
    "kind": "arxiv",
    "version": 3
  }
}