Pith Number

pith:VOCOY77E

pith:2026:VOCOY77EZNQNQXHVSACNPJJSB3

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Graded Satake diagrams and super-symmetric pairs

A. Mudrov, D. Algethami, V. Stukopin

Satake-type diagrams classify all quantizable spherical subalgebras in basic matrix Lie superalgebras for any Borel subalgebra.

arxiv:2604.03394 v2 · 2026-04-03 · math.QA

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\usepackage{pith}
\pithnumber{VOCOY77EZNQNQXHVSACNPJJSB3}

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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 classify the corresponding Satake-type diagrams and prove that each of them defines a family of proper spherical subalgebras.

C2weakest assumption

The assumption that the listed classical spherical subalgebras remain quantizable to coideal subalgebras for every choice of Borel subalgebra, which depends on unstated details of the superalgebra grading and quantization procedure.

C3one line summary

The paper classifies graded Satake diagrams that define families of proper spherical subalgebras in basic matrix Lie superalgebras, each quantizable to coideal subalgebras in standard quantum supergroups.

Receipt and verification

First computed	2026-05-25T02:01:18.900334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab84ec7fe4cb60d85cf59004d7a5320ef09bd5b69e36505a35a7e79ad8f80a6b

Aliases

arxiv: 2604.03394 · arxiv_version: 2604.03394v2 · doi: 10.48550/arxiv.2604.03394 · pith_short_12: VOCOY77EZNQN · pith_short_16: VOCOY77EZNQNQXHV · pith_short_8: VOCOY77E

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/VOCOY77EZNQNQXHVSACNPJJSB3 \
  | 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: ab84ec7fe4cb60d85cf59004d7a5320ef09bd5b69e36505a35a7e79ad8f80a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfccc29499ca7005f83b75b8321fc53ecc73e4205aa4f466b06056c72b4aa402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-04-03T18:53:36Z",
    "title_canon_sha256": "55f677bea7994c2a496edca131e74fe9377712709be923c1f77b284509a93f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03394",
    "kind": "arxiv",
    "version": 2
  }
}