Pith Number

pith:PNK3DLFQ

pith:2025:PNK3DLFQW46G2IT5KWUYBFOTE4

not attested not anchored not stored refs pending

Wahl singularities in degenerations of del Pezzo surfaces

Giancarlo Urz\'ua, Juan Pablo Z\'u\~niga

arxiv:2504.19929 v2 · 2025-04-28 · math.AG · 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{PNK3DLFQW46G2IT5KWUYBFOTE4}

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

Geometric helices on del Pezzo surfaces from tilting

Rational homology disk degenerations of elliptic surfaces

Receipt and verification

First computed	2026-07-05T11:35:13.381385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b55b1acb0b73c6d227d55a98095d3272bee3fa8eb782c6afa9054d45db1b543

Aliases

arxiv: 2504.19929 · arxiv_version: 2504.19929v2 · doi: 10.48550/arxiv.2504.19929 · pith_short_12: PNK3DLFQW46G · pith_short_16: PNK3DLFQW46G2IT5 · pith_short_8: PNK3DLFQ

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/PNK3DLFQW46G2IT5KWUYBFOTE4 \
  | 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: 7b55b1acb0b73c6d227d55a98095d3272bee3fa8eb782c6afa9054d45db1b543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b568925cc5da8bb7e94e87d5e0ac5e4cd3de0c1ddad6638b4602d3b958073b",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-28T16:04:07Z",
    "title_canon_sha256": "1e68175d8e77521ed5c27024b1539eca08e5f8910a380de56a37d0b7107fbfdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19929",
    "kind": "arxiv",
    "version": 2
  }
}