Paper Citation Record · LEDGER

Module categories, weak Hopf algebras and modular invariants

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 23 inbound Pith citation observations for arXiv:math/0111139.

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

pith.paper-citation-record.v1
math/0111139 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 23 of 23 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:47:17.924009Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T04:39:35.257148Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation ce1fb043-0470-4672-b4d6-2f126bc88965 · inbound

On Hecke and asymptotic categories for a family of complex reflection groups cites this paper.

On Hecke and asymptotic categories for a family of complex reflection groups Module categories, weak Hopf algebras and modular invariants

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-05-23T21:33:27.898996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3924de77-12cf-4138-bc30-8a87b133d97f · inbound

On \'Etale Algebras and Bosonic Fusion 2-Categories cites this paper.

On \'Etale Algebras and Bosonic Fusion 2-Categories Module categories, weak Hopf algebras and modular invariants

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-12T16:36:32.903627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09a91509-8e0d-4700-b61f-6eb7fe39f387 · inbound

Rational and non-rational two-dimensional conformal field theories arising from lattices cites this paper.

Rational and non-rational two-dimensional conformal field theories arising from lattices Module categories, weak Hopf algebras and modular invariants

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.998544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cf75967-08ba-41ec-9073-a42c95c107aa · inbound

ADE triality via (non-)invertible symmetry gauging cites this paper.

ADE triality via (non-)invertible symmetry gauging Module categories, weak Hopf algebras and modular invariants

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-15T19:47:17.924009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8821de24-c01e-450d-8d99-704a7743f560 · inbound

Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy cites this paper.

Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy Module categories, weak Hopf algebras and modular invariants

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-15T18:32:34.191258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49fa63e8-49da-460c-bf5a-c99d00caf509 · inbound

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory cites this paper.

Higher Structures on Boundary Conformal Manifolds: Higher Berry Phase and Boundary Conformal Field Theory Module categories, weak Hopf algebras and modular invariants

Reference 119

Resolution: unresolved; no resolver link, observed 2026-08-06T16:54:37.295788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc2d65bd-2bb3-4d41-8ccf-a81b9abdcece · inbound

From gauging to duality in one-dimensional quantum lattice models cites this paper.

From gauging to duality in one-dimensional quantum lattice models Module categories, weak Hopf algebras and modular invariants

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-05-18T13:16:23.576920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 98bc3cfb-4b49-4716-be84-451e712ef255 · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Module categories, weak Hopf algebras and modular invariants

Reference 218

Resolution: unresolved; no resolver link, observed 2026-08-03T13:35:49.678509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4d28d2d-26a1-412d-86a8-3bdacb8232c3 · inbound

On the SymTFTs of Finite Non-Abelian Symmetries cites this paper.

On the SymTFTs of Finite Non-Abelian Symmetries Module categories, weak Hopf algebras and modular invariants

Reference 78

Resolution: verified exact; local_arxiv, observed 2026-05-15T11:35:31.489638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f81bc239-e220-4917-bc4a-60f300d3a4ad · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras Module categories, weak Hopf algebras and modular invariants

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:01:14.983235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4f5c0826-2472-4361-bf7a-46d04ba306a3 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries Module categories, weak Hopf algebras and modular invariants

Reference 188

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:25:56.935343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e1545dcf-b3ee-411f-bc04-ff28f7a190ac · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Reference 192

Resolution: verified exact; local_arxiv, observed 2026-05-20T23:03:51.741477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 505b445d-4010-49a9-a4a9-bc507f9f7aeb · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Reference 186

Resolution: verified exact; local_arxiv, observed 2026-06-30T23:15:08.173580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation df681116-6c60-4caa-a065-32be70a385ce · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Reference 185

Resolution: unresolved; no resolver link, observed 2026-08-04T05:19:23.321933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdaef6bb-9640-4b8c-9479-ab985592f32c · inbound

Examples of Invertible Gauging via Orbifold Data, Zesting, and Equivariantisation cites this paper.

Examples of Invertible Gauging via Orbifold Data, Zesting, and Equivariantisation Module categories, weak Hopf algebras and modular invariants

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-05-19T20:42:45.521577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1eebe923-32c3-4fc8-a772-c2fbc97e5dab · inbound

Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces cites this paper.

Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces Module categories, weak Hopf algebras and modular invariants

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-05-21T03:39:29.489685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e93085e8-f00f-4545-8e73-ffab58d6535b · inbound

Algebras of order parameters in one-dimensional spin systems cites this paper.

Algebras of order parameters in one-dimensional spin systems Module categories, weak Hopf algebras and modular invariants

Reference 110

Resolution: verified exact; local_arxiv, observed 2026-07-01T16:25:49.058820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6a3fb7f0-c132-44c8-9531-4d3ee2b88ab1 · inbound

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories cites this paper.

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories Module categories, weak Hopf algebras and modular invariants

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-02T01:26:23.914860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b328ab39-6569-43b4-9705-3ea63f31ea9f · inbound

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories cites this paper.

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories Module categories, weak Hopf algebras and modular invariants

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-15T10:59:07.919039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e43b145-19ae-4757-a1a8-118fc6909428 · inbound

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras cites this paper.

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras Module categories, weak Hopf algebras and modular invariants

Reference 115

Resolution: verified exact; local_arxiv, observed 2026-07-02T10:16:52.084937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4692cf63-f62e-464a-a8f4-7599e938f2aa · inbound

Defects in skein theory and TQFT cites this paper.

Defects in skein theory and TQFT Module categories, weak Hopf algebras and modular invariants

Reference 34

Resolution: metadata mismatch; local_arxiv, observed 2026-06-27T20:11:12.827893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7e1953d1-04ed-477b-8f23-7295deb44ca5 · inbound

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries cites this paper.

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries Module categories, weak Hopf algebras and modular invariants

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-04T04:39:35.258324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1a441067-ccd9-438e-a988-fd06ac7b2c53 · inbound

Classification of symmetric fusion categories over $\mathbb{R}$ cites this paper.

Classification of symmetric fusion categories over $\mathbb{R}$ Module categories, weak Hopf algebras and modular invariants

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T14:47:28.349498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.