Pith Number

pith:JEN2UI5V

pith:2026:JEN2UI5VRY2N6UOCLDQG3JMACH

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Invariants of derived equivalences for admissible fractional Brauer graph algebras

Bohan Xing

Admissible fractional Brauer graph algebras have combinatorial invariants preserved under derived equivalences.

arxiv:2604.06557 v2 · 2026-04-08 · math.RT

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\pithnumber{JEN2UI5VRY2N6UOCLDQG3JMACH}

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Claims

C1strongest claim

We study admissible fractional Brauer graph algebras, a new subclass of self-injective special biserial algebras, and provide several easily checkable combinatorial invariants for derived equivalences between them. In particular, we show that these algebras can be viewed as repetitive algebras and r-fold trivial extensions of gentle algebras.

C2weakest assumption

That the newly defined class of admissible fractional Brauer graph algebras is sufficiently rich and that the proposed combinatorial invariants are indeed preserved under derived equivalences (requires explicit verification in the full text).

C3one line summary

Admissible fractional Brauer graph algebras admit easily checkable combinatorial invariants for derived equivalences and can be realized as repetitive algebras and r-fold trivial extensions of gentle algebras.

Receipt and verification

First computed	2026-06-02T01:03:46.743241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

491baa23b58e34df51c258e06da58011d178066b3396310c70ec763ff5f31111

Aliases

arxiv: 2604.06557 · arxiv_version: 2604.06557v2 · doi: 10.48550/arxiv.2604.06557 · pith_short_12: JEN2UI5VRY2N · pith_short_16: JEN2UI5VRY2N6UOC · pith_short_8: JEN2UI5V

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JEN2UI5VRY2N6UOCLDQG3JMACH \
  | 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: 491baa23b58e34df51c258e06da58011d178066b3396310c70ec763ff5f31111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27df3b43406a9279de08ef81588c7bb0c85efd145653f37122e0ee440bdb6c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-04-08T01:17:15Z",
    "title_canon_sha256": "479a2820d68a1c80792bd54e9a217f2984b4744f94ecca4da7edba5352d7775d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.06557",
    "kind": "arxiv",
    "version": 2
  }
}