Pith Number

pith:FXG6EXUB

pith:2026:FXG6EXUBSF2IZLYFDERIEN6FNI

not attested not anchored not stored refs pending

Resolutions and deformations of cyclic quotient surface singularities

Kohei Sato, Meral Tosun, Yukari Ito

Various independently developed results on minimal resolutions of cyclic quotient singularities unify into one coherent exposition.

arxiv:2604.04472 v2 · 2026-04-06 · math.AG

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\usepackage{pith}
\pithnumber{FXG6EXUBSF2IZLYFDERIEN6FNI}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We investigate the relations among various results concerning the minimal resolution of cyclic quotient singularities of the form C^2/G ... present classical results on the minimal resolution of singularities, the G-Hilbert scheme, the generalized McKay correspondence, deformations of singularities, and quiver varieties ... provide a unified exposition enriched with numerous examples.

C2weakest assumption

That independently developed results from different contexts can be unified into a single coherent exposition without introducing inconsistencies, oversimplifications, or loss of technical detail.

C3one line summary

Unified survey linking resolutions, Hilbert schemes, McKay correspondence, and deformations for bamboo-type cyclic quotient singularities.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-06-01T01:03:52.600243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dcde25e8191748caf0519228237c56a2e048f43c5ba3b51159890553952f8d3

Aliases

arxiv: 2604.04472 · arxiv_version: 2604.04472v2 · doi: 10.48550/arxiv.2604.04472 · pith_short_12: FXG6EXUBSF2I · pith_short_16: FXG6EXUBSF2IZLYF · pith_short_8: FXG6EXUB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FXG6EXUBSF2IZLYFDERIEN6FNI \
  | 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: 2dcde25e8191748caf0519228237c56a2e048f43c5ba3b51159890553952f8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f095ab007bdbfece3590f1fdaeaf19b1a8755a6dd0e49f5b004c8967d29288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-04-06T06:47:02Z",
    "title_canon_sha256": "029b70868fe50845a27e9c2118bdb6d6cb33ed517c786ada56d75476d50a78cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.04472",
    "kind": "arxiv",
    "version": 2
  }
}