Pith Number

pith:FZKXVF42

pith:2026:FZKXVF42NCRPB7YIQESIBG2EBH

not attested not anchored not stored refs pending

Point modules over the universal enveloping algebras of color Lie algebras

Shu Minaki

The point modules over universal enveloping algebras of color Lie algebras are determined by a newly defined q'-Heisenberg normal element.

arxiv:2604.00450 v3 · 2026-04-01 · math.RA

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\usepackage{pith}
\pithnumber{FZKXVF42NCRPB7YIQESIBG2EBH}

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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 determine the set of point modules over an Artin--Schelter regular algebra obtained as the universal enveloping algebra of a color Lie algebra. Moreover, we give a concrete integer such that the inverse system of truncated point schemes of it is constant.

C2weakest assumption

The algebra obtained as the universal enveloping algebra of the color Lie algebra is Artin-Schelter regular and the newly defined q'-Heisenberg normal element behaves as required to control the point modules.

C3one line summary

The set of point modules over the universal enveloping algebra of a color Lie algebra is determined and a concrete integer is given making the inverse system of truncated point schemes constant.

Receipt and verification

First computed	2026-05-27T01:05:53.777110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e557a979a68a2f0ff088124809b4409e51930169f63b93427d642b81d6cc53f

Aliases

arxiv: 2604.00450 · arxiv_version: 2604.00450v3 · doi: 10.48550/arxiv.2604.00450 · pith_short_12: FZKXVF42NCRP · pith_short_16: FZKXVF42NCRPB7YI · pith_short_8: FZKXVF42

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FZKXVF42NCRPB7YIQESIBG2EBH \
  | 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: 2e557a979a68a2f0ff088124809b4409e51930169f63b93427d642b81d6cc53f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bedc15b88bafd9376a9c8ba0a35285b27cbb96eb65482553de1561a53ac233fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-04-01T03:58:42Z",
    "title_canon_sha256": "d968cf6a31216bf3b48507ddaab598d670d046d56a3382476cb77eeb9b528cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.00450",
    "kind": "arxiv",
    "version": 3
  }
}