Paper Citation Record · LEDGER

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 6 inbound Pith citation observations for arXiv:2411.11386.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.11386 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:49:06.692104Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:42:02.096788Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-20T01:42:56.540259Z

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy4
unresolved16
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 9789b11c-bf31-4e23-8f63-1586b90de6d9 · outbound

This paper cites Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.591632Z

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Observation 91e2811e-d3a3-4445-b325-e109d4e3a055 · outbound

This paper cites Weight representations of affine Kac-Moody algebras and small quantum groups.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Weight representations of affine Kac-Moody algebras and small quantum groups

Reference 2

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Observation eae55f9a-9442-4875-8058-84a1243f702f · outbound

This paper cites McRae and J.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels McRae and J

Reference 3

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Observation e7822abc-6dc7-4813-a1bd-a98d4cda223a · outbound

This paper cites Creutzig, T.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Creutzig, T

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.614354Z

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Observation 5005bd58-719a-4ede-8d7e-8ff6d1a51720 · outbound

This paper cites Creutzig, R.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Creutzig, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:49:07.160519Z

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Observation de54f94f-732e-44bb-91c2-79e290587faf · outbound

This paper cites Creutzig and D.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Creutzig and D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:49:07.144723Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1759d0c3-fffc-4c7d-844a-e3f741eab9d7 · outbound

This paper cites Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

Reference 11

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Observation e381922b-bc8d-4369-bcb2-2b3db6782890 · outbound

This paper cites Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.649133Z

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Observation a79dcf57-36bb-4f23-a840-d583dd2a6f3d · outbound

This paper cites Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.653648Z

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Observation 01cc3336-9934-4b9a-ba80-d0e0de69cb3f · outbound

This paper cites Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.658478Z

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Observation 78fb67f1-828b-4f27-b604-39f1ca3030e2 · outbound

This paper cites Deligne tensor products of categories of modules for vertex operator algebras.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Deligne tensor products of categories of modules for vertex operator algebras

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.668646Z

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Observation 6954fa65-22c9-4dec-9717-b677d5ad6539 · outbound

This paper cites Moore and N.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Moore and N

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:49:07.111802Z

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Observation 18151dd2-fe9a-46b6-afb7-6dab3bf4cf7c · outbound

This paper cites Inverting the Hamiltonian Reduction in String Theory.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Inverting the Hamiltonian Reduction in String Theory

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.687561Z

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Observation e1035844-c35c-4507-98fe-7f3457dbce76 · outbound

This paper cites an unresolved cited work.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Unresolved cited work

Reference 1993

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Observation 2f8c3dfc-b317-430e-a0cd-264975ff7fc9 · outbound

This paper cites W ang, Rationality of Virasoro vertex operator algeb ras, Internat.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels W ang, Rationality of Virasoro vertex operator algeb ras, Internat

Reference 1994

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:49:07.093664Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 992297a5-48a5-430e-bd81-9d5c67fb87e8 · outbound

This paper cites Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.639810Z

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Observation 425daf53-2474-4591-ac18-bd8de366aa4d · outbound

This paper cites Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

Reference 2011

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Observation b0c45294-a81a-4d39-960a-0f2afe313c7b · outbound

This paper cites Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.634591Z

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Observation e5847d1b-673b-4bec-bfd6-2ce7d3d79183 · outbound

This paper cites The non-semisimple Kazhdan-Lusztig category for affine $\mathfrak{sl}_2$ at admissible levels.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels The non-semisimple Kazhdan-Lusztig category for affine $\mathfrak{sl}_2$ at admissible levels

Reference 2020

Resolution: verified exact; local_arxiv, observed 2026-08-12T18:49:06.753482Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 070b58df-8368-4607-af62-c4d111f2af40 · outbound

This paper cites Tensor categories of weight modules of $\widehat{\mathfrak{sl}}_2$ at admissible level.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels Tensor categories of weight modules of $\widehat{\mathfrak{sl}}_2$ at admissible level

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.603263Z

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Observation dc2ac165-3b24-4fdf-a333-3a2513f84abb · outbound

This paper cites An algebraic theory for logarithmic Kazhdan-Lusztig correspondences.

Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels An algebraic theory for logarithmic Kazhdan-Lusztig correspondences

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-12T18:49:06.609149Z

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Pith citing papers

Observation 99dfd141-67ad-4c27-8cd1-d91cad0627ed · inbound

Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras cites this paper.

Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:02.096788Z

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Observation 50482b36-78c9-4eb1-a1ac-59ab09b18b11 · inbound

W-algebras as conformal extensions of affine VOAs cites this paper.

W-algebras as conformal extensions of affine VOAs Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-05T16:17:04.650652Z

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Observation 43e5d864-b9e0-4a87-8de4-3a4b254d5bca · inbound

Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules cites this paper.

Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-03T20:30:07.664064Z

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Observation 95fa4212-0a54-4d13-baa4-7b43a3787f29 · inbound

Tensor category of $\mathbb{Z}_2$-orbifold of Heisenberg vertex operator algebra and its applications cites this paper.

Tensor category of $\mathbb{Z}_2$-orbifold of Heisenberg vertex operator algebra and its applications Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:36:07.925551Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62ab1527-8dc4-4d30-8694-6fa954bff90b · inbound

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra cites this paper.

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-09T22:34:06.885229Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 88b3f373-8ac3-4c2c-957f-79388219422d · inbound

Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules cites this paper.

Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules Ribbon categories of weight modules for affine $\mathfrak{sl}_2$ at admissible levels

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-20T01:42:56.543566Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.