Pith Number

pith:LRKC2MBK

pith:2026:LRKC2MBKAMBBU7F2PW5KLOHIBI

not attested not anchored not stored refs pending

K-theory of Gieseker variety and type A cyclotomic Hecke algebra

Pavel Shlykov, Rapha\"el Paegelow, Vasily Krylov

Equivariant K-theory of Gieseker varieties equals the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.

arxiv:2605.11579 v2 · 2026-05-12 · math.AG · math.RT

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\pithnumber{LRKC2MBKAMBBU7F2PW5KLOHIBI}

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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

Our main result identifies the equivariant K-theory of the Gieseker space with the Jucys--Murphy center of the cyclotomic Hecke algebra, over the equivariant K-theory of a point.

C2weakest assumption

Assuming an identification between the equivariant K-theory of the Lagrangian subvariety and the cocenter (used for the roots-of-unity case).

C3one line summary

The equivariant K-theory of Gieseker varieties is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.

Receipt and verification

First computed	2026-05-26T01:03:33.451372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c542d302a03021a7cba7dbaa5b8e80a106be2ef46f6892dd49d95a069eae68f

Aliases

arxiv: 2605.11579 · arxiv_version: 2605.11579v2 · doi: 10.48550/arxiv.2605.11579 · pith_short_12: LRKC2MBKAMBB · pith_short_16: LRKC2MBKAMBBU7F2 · pith_short_8: LRKC2MBK

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/LRKC2MBKAMBBU7F2PW5KLOHIBI \
  | 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: 5c542d302a03021a7cba7dbaa5b8e80a106be2ef46f6892dd49d95a069eae68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1bc9f536db5c34d5eccaaf7fbca3c89f92476bdec86263ed093bebf9b0064a6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-12T06:04:09Z",
    "title_canon_sha256": "92ac674ed24b63031bdd2e319d4c5179c6f1f0e299cb073fafc4021cf30c2480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11579",
    "kind": "arxiv",
    "version": 2
  }
}