Paper Citation Record · LEDGER

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

As of 7 August 2026, this Paper Citation Record lists 100 of 122 outbound references and 9 inbound Pith citation observations for arXiv:2507.01142.

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

pith.paper-citation-record.v1
2507.01142 v1

Coverage vector

measured 100 of 122 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T21:09:17.365266Z

measured 109 of 109 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:19:23.122338Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:57:00.363141Z

Reference resolution

100 of 122 outbound references displayed

verified exact10
verified fuzzy0
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Outbound references

Observation ba27f8e3-ea57-44f4-aadc-f379b2891ae2 · outbound

This paper cites Orbifolds of Reshetikhin-Turaev TQFTs.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Orbifolds of Reshetikhin-Turaev TQFTs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:05.799548Z

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Observation e3a12dff-e4cf-452c-88fc-6b549c158f77 · outbound

This paper cites On generalized symmetries and structure of modular categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On generalized symmetries and structure of modular categories

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:05.846186Z

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Observation 1078e71b-b880-4050-9a3c-4ef0cadd3a58 · outbound

This paper cites Fibonacci-type orbifold data in Ising modular categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fibonacci-type orbifold data in Ising modular categories

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:05.942937Z

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Observation 1a866b16-c042-42aa-b27c-fe5758225c53 · outbound

This paper cites Condensation inversion and Witt equivalence via generalised orbifolds.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Condensation inversion and Witt equivalence via generalised orbifolds

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.049724Z

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Observation 2aeca688-68f9-4510-b420-2f7b9b517c32 · outbound

This paper cites Higher categorical symmetries and gauging in two-dimensional spin systems.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Higher categorical symmetries and gauging in two-dimensional spin systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.130710Z

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Observation 94469623-5899-4417-88b3-052d537277a8 · outbound

This paper cites Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.303969Z

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Observation d8bc520a-d700-4be3-906e-b8902d8bd81a · outbound

This paper cites Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.442080Z

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Observation 06808fea-83dc-40be-b73a-857c98564072 · outbound

This paper cites Anomalies of Coset Non-Invertible Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Anomalies of Coset Non-Invertible Symmetries

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.568114Z

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Observation 9737b9a2-be26-4552-bfd3-c5ae985393f3 · outbound

This paper cites (2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders (2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.719592Z

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Observation c415d25c-c223-4450-ad83-1ed1b2b235c7 · outbound

This paper cites Gauging non-invertible symmetries on the lattice.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Gauging non-invertible symmetries on the lattice

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.810815Z

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Observation 356ffc0c-5985-4307-b4b2-02bfa9303000 · outbound

This paper cites Universal lower bound on topological entanglement entropy.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Universal lower bound on topological entanglement entropy

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:06.915373Z

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Observation 972f86e6-63f9-4e2b-87d2-c2e41674a00b · outbound

This paper cites Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices

Reference 12

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Observation a7c77b5e-4351-4e6b-adde-8b45e18b1e7a · outbound

This paper cites Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases

Reference 13

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Observation 88e8699a-a505-4e25-b8bf-37bfbdc979dc · outbound

This paper cites Hierarchy of Topological Order From Finite-Depth Unitaries, Measurement, and Feedforward.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Hierarchy of Topological Order From Finite-Depth Unitaries, Measurement, and Feedforward

Reference 14

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Observation ec74c508-34b4-4079-88ef-3cc0cd196199 · outbound

This paper cites Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:07.453828Z

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Observation 6f24aac7-1de8-41e0-8736-3d1a047a84db · outbound

This paper cites Higher Gauging and Non-invertible Condensation Defects.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Higher Gauging and Non-invertible Condensation Defects

Reference 16

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Observation 690a004f-b330-46e9-b5d4-bf750d8d2fc7 · outbound

This paper cites Higher condensation theory.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Higher condensation theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:07.638174Z

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Observation acc9569d-37fa-4848-afbe-8126f50b26c3 · outbound

This paper cites On the Classification of Bosonic and Fermionic One-Form Symmetries in $2+1$d and 't Hooft Anomaly Matching.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On the Classification of Bosonic and Fermionic One-Form Symmetries in $2+1$d and 't Hooft Anomaly Matching

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:07.756679Z

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Observation 7302ce66-17ca-4e01-9245-75d4fd050179 · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:07.884955Z

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Observation 5e15cdc5-ac63-47d3-aef8-1b0cba1cf81a · outbound

This paper cites Composing topological domain walls and anyon mobility.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Composing topological domain walls and anyon mobility

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.057441Z

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Observation babe66b3-9f3b-422b-993a-fc16020f2b20 · outbound

This paper cites Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.182768Z

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Observation 859e9b13-e3fe-4403-b828-56570e30d771 · outbound

This paper cites On Gauging Symmetry of Mod- ular Categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On Gauging Symmetry of Mod- ular Categories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.285817Z

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Observation 70267e21-ab87-47ae-8755-f6f4f92907ed · outbound

This paper cites An Algebraic Theory of Gapped Domain Wall Partons.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders An Algebraic Theory of Gapped Domain Wall Partons

Reference 24

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Observation f0fa2209-c9a5-4c40-be7b-241f9d4e360c · outbound

This paper cites Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.709030Z

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Observation ca7908a7-2f9b-4906-8832-1b7e1701c331 · outbound

This paper cites On the structure of the Witt group of braided fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On the structure of the Witt group of braided fusion categories

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.876406Z

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Observation 4ae2d71e-bbb3-4b07-b55d-af3fd0df2fb4 · outbound

This paper cites D-branes and K-theory in 2D topological field theory.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders D-branes and K-theory in 2D topological field theory

Reference 27

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Observation 46ce1c14-514f-4aaf-9fcb-c7bfea7b8301 · outbound

This paper cites Construction of two-dimensional topological field theories with non-invertible symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Construction of two-dimensional topological field theories with non-invertible symmetries

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:09.114063Z

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Observation 6ef11836-dc61-4718-98f7-43b5c2f8001e · outbound

This paper cites Fusion categories of rank 2.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fusion categories of rank 2

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:22.510448Z

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Observation 2dcb329a-abe6-46b2-a5d8-8af1fa7ef5d3 · outbound

This paper cites Tensor categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Tensor categories

Reference 30

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Observation 3427680a-48cf-4e4c-b5e3-f1e9770362ca · outbound

This paper cites Rigid and separable algebras in fusion 2-categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Rigid and separable algebras in fusion 2-categories

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:09.418717Z

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Observation f69f2b23-06a0-411e-8ac8-9d3bd2b3c917 · outbound

This paper cites On the Dualizability of Fusion 2-Categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On the Dualizability of Fusion 2-Categories

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:22.484122Z

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Observation ca324992-9424-47ef-8b6c-87876a7f0543 · outbound

This paper cites Remarks on Boundaries, Anomalies, and Noninvertible Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Remarks on Boundaries, Anomalies, and Noninvertible Symmetries

Reference 33

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Observation 72bd179d-5c6a-43af-951c-ff086bfda0cb · outbound

This paper cites Braidings on topological operators, anomaly of higher-form symmetries and the SymTFT.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Braidings on topological operators, anomaly of higher-form symmetries and the SymTFT

Reference 34

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Observation 35f05881-a98a-4ada-8b1c-ad50d5a150ee · outbound

This paper cites Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Reference 35

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Observation 817d100b-d36f-4ecf-a478-4a2a37fc59d5 · outbound

This paper cites Correspondences of ribbon categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Correspondences of ribbon categories

Reference 36

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Observation af974245-0fae-4465-8ed4-a3dbb53d018e · outbound

This paper cites Anyon condensation and tensor categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Anyon condensation and tensor categories

Reference 37

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Observation b7439112-0ccb-45e0-8939-3f7e2742d760 · outbound

This paper cites String-net condensation: A physical mechanism for topological phases.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders String-net condensation: A physical mechanism for topological phases

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.144662Z

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Observation 70ac8f69-e397-4baf-8668-7083fd075680 · outbound

This paper cites String-net model of Turaev-Viro invariants.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders String-net model of Turaev-Viro invariants

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.224741Z

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Observation 56f6e1fc-5bc7-4150-9850-5cf7fe889de0 · outbound

This paper cites Fusion 2-categories and a state-sum invariant for 4-manifolds.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fusion 2-categories and a state-sum invariant for 4-manifolds

Reference 40

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Observation be0ee8ac-e704-4174-ab95-8e26c0220c96 · outbound

This paper cites Condensations in higher categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Condensations in higher categories

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.443395Z

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Observation 752c740d-8856-4c15-8780-8f6c3ba01719 · outbound

This paper cites Higher Gauging and Non-invertible Condensation Defects.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Higher Gauging and Non-invertible Condensation Defects

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.579384Z

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Observation f9189357-7c2f-4d7b-96c0-c9220576fb16 · outbound

This paper cites Decomposition, condensation defects, and fusion.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Decomposition, condensation defects, and fusion

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.670321Z

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Observation 863d4707-85a9-4e99-a681-3d934bd5d4a3 · outbound

This paper cites Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.808027Z

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Observation d73f1d3b-0698-406a-8a4e-41e8ccc931e9 · outbound

This paper cites Non-invertible and higher-form symmetries in 2+1d lattice gauge theories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-invertible and higher-form symmetries in 2+1d lattice gauge theories

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.918917Z

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Observation c8dff1aa-5445-41f5-bb90-0768c428e0e3 · outbound

This paper cites Non-invertible Symmetries and Higher Representation Theory I.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-invertible Symmetries and Higher Representation Theory I

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:11.045084Z

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Observation 3011924f-d403-4751-84ab-289c8fd0d50c · outbound

This paper cites Non-invertible Symmetries and Higher Representation Theory II.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-invertible Symmetries and Higher Representation Theory II

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:11.156371Z

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Observation 191aaa96-500e-4583-b3d9-98fb93730c4f · outbound

This paper cites Non-Invertible Higher-Categorical Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-Invertible Higher-Categorical Symmetries

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:11.273772Z

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Observation d93bb270-6caa-404b-8aac-4224cc6c5d16 · outbound

This paper cites Tensor network approach to electromagnetic duality in (3+1)d topological gauge models.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Tensor network approach to electromagnetic duality in (3+1)d topological gauge models

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:22.186941Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aae3c3f9-8da1-4058-ad4f-0db012871846 · outbound

This paper cites Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:22.158753Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ade9d20b-f304-4ee3-900c-1b175b912411 · outbound

This paper cites Fusion categories and homotopy theory.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fusion categories and homotopy theory

Reference 51

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Observation 22a1e1b3-24fe-480f-99b1-aaa7108a0f88 · outbound

This paper cites Monoidal 2-structure of bimodule cat- egories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Monoidal 2-structure of bimodule cat- egories

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:11.799070Z

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Observation 2db16f2a-d155-46a3-8b01-879199c04614 · outbound

This paper cites The relative Deligne tensor product over pointed braided fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders The relative Deligne tensor product over pointed braided fusion categories

Reference 53

Resolution: verified exact; doi, observed 2026-08-06T21:09:19.677870Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fbf65683-f8a1-49cd-bd8f-b1af71a51ad7 · outbound

This paper cites On dualizability of braided tensor categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On dualizability of braided tensor categories

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.038887Z

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Observation cd8af414-49fa-489c-a04b-63233a7336ea · outbound

This paper cites Finite Semisimple Module 2-Categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Finite Semisimple Module 2-Categories

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.147968Z

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Unavailable: canonical work link unavailable.

Observation 32853d2d-8cec-4f56-a8e7-f9e67e557e1e · outbound

This paper cites Fusion 3-Categories for Duality Defects.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fusion 3-Categories for Duality Defects

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.264840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70996c59-7e1f-434b-b872-85d1aabe6f0c · outbound

This paper cites Dualities between 2+1d fusion surface models from braided fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Dualities between 2+1d fusion surface models from braided fusion categories

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.423218Z

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Unavailable: canonical work link unavailable.

Observation afab97dd-69ef-4d62-8842-1a9165039ee6 · outbound

This paper cites Levin-Wen is a gauge theory: entanglement from topology.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Levin-Wen is a gauge theory: entanglement from topology

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.571102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e4e04f6-1241-41e1-b427-be1490691ed7 · outbound

This paper cites The Witt group of non- degenerate braided fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders The Witt group of non- degenerate braided fusion categories

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.739136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98021094-731a-4b21-a680-56be5f0773fa · outbound

This paper cites A study of time reversal symmetry of abelian anyons.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders A study of time reversal symmetry of abelian anyons

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.858969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6a94b03-d4e5-4570-870e-e6189cec90eb · outbound

This paper cites Near-group categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Near-group categories

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:12.981302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49c346fa-6e8f-4dd1-b1bc-68c4586cc0a7 · outbound

This paper cites Generalized near-group categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Generalized near-group categories

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.120230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb01c7a5-a666-461d-94b7-e5b75c3081ca · outbound

This paper cites Near-group fusion categories and their doubles.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Near-group fusion categories and their doubles

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.225064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 769f2d00-0777-4567-8d78-7ce9ff66ee92 · outbound

This paper cites A Cuntz algebra approach to the classification of near-group categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders A Cuntz algebra approach to the classification of near-group categories

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.346287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 720239a7-9a91-434a-8b73-eb695ba3b0c9 · outbound

This paper cites Uniqueness of unitary structure for unitarizable fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Uniqueness of unitary structure for unitarizable fusion categories

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.500579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b80c7d5d-c1df-44a5-834d-5f9ff3b6208c · outbound

This paper cites Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.629069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5390587-e07f-41e7-81a7-9ea613f35249 · outbound

This paper cites Protocols for Creating Anyons and Defects via Gauging.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Protocols for Creating Anyons and Defects via Gauging

Reference 67

Resolution: verified exact; raw_fallback, observed 2026-08-06T21:09:21.816455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 17eaea99-66f7-416e-9f79-d17c25282599 · outbound

This paper cites Qutrit Toric Code and Parafermions in Trapped Ions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Qutrit Toric Code and Parafermions in Trapped Ions

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:13.905986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b51f95e-bb2f-4656-9c78-c015840c7028 · outbound

This paper cites Centers of graded fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Centers of graded fusion categories

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.003901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88e5d204-a7ed-4b15-994f-bf094abe9925 · outbound

This paper cites Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.116611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1caaee9e-0865-43ca-8710-054cc99e459d · outbound

This paper cites Cheshire charge in (3+1)- dimensional topological phases.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Cheshire charge in (3+1)- dimensional topological phases

Reference 71

Resolution: verified exact; doi, observed 2026-08-06T21:09:19.559062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7171a91-d950-495e-a19f-d2de1eced2fc · outbound

This paper cites Defects in the 3-dimensional toric code model form a braided fusion 2-category.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Defects in the 3-dimensional toric code model form a braided fusion 2-category

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.310478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c64821e0-2821-4de1-a71e-3a3ab3441032 · outbound

This paper cites A toy model for categorical charges.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders A toy model for categorical charges

Reference 73

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:21.384198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ac5e19d0-d542-423a-a73e-d96c676378b3 · outbound

This paper cites Topological phase transition on the edge of two-dimensional Z2 topological order.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Topological phase transition on the edge of two-dimensional Z2 topological order

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.535107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfca99d-d8c6-4550-be12-e92aad04b38f · outbound

This paper cites Topological Order with a Twist: Ising Anyons from an Abelian Model.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Topological Order with a Twist: Ising Anyons from an Abelian Model

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.643262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0909ef5-5b6f-4f65-93f9-523da3f1281d · outbound

This paper cites Models for gapped boundaries and domain walls.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Models for gapped boundaries and domain walls

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.726391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a38c323a-9b5e-4550-8a86-5c449d2bb9d1 · outbound

This paper cites Quasi hope algebras, group cohomology and orbifold models.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Quasi hope algebras, group cohomology and orbifold models

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.809738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4de79815-5799-4dc0-9527-e9a7d0e8db59 · outbound

This paper cites The Quantum Double Model with Boundary: Condensations and Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders The Quantum Double Model with Boundary: Condensations and Symmetries

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.895069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25377528-1f41-4f74-b9d6-9e0ea8e38990 · outbound

This paper cites Universal quantum computation with weakly integral anyons.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Universal quantum computation with weakly integral anyons

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:14.964538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08414b96-f343-4387-9bdf-e9392e0982ae · outbound

This paper cites Classification of fusion categories of dimension pq.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Classification of fusion categories of dimension pq

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:09:21.092177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2af8f398-b370-49c9-84b3-244fcd07898e · outbound

This paper cites Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.195595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5d23bdb-5590-4f8e-b282-3bb0b167290f · outbound

This paper cites Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.303915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1419b63-6034-4291-99fd-88571f2241b3 · outbound

This paper cites Anyons in an exactly solved model and beyond.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Anyons in an exactly solved model and beyond

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.383024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70f5535e-6565-41cf-afe7-a697ce045d4f · outbound

This paper cites Generalised Orbifolds and G-equivariantisation.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Generalised Orbifolds and G-equivariantisation

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.484777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49be6088-ae3b-43b1-bafd-4b35bd4be29e · outbound

This paper cites 2-Group Symmetries of 3-dimensional Defect TQFTs and Their Gauging.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders 2-Group Symmetries of 3-dimensional Defect TQFTs and Their Gauging

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.597541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29705c99-3571-4fdd-95fd-850c10935c21 · outbound

This paper cites Duality and defects in rational conformal field theory.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Duality and defects in rational conformal field theory

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.686104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f7ae106-1d87-4129-91ff-384d731a424c · outbound

This paper cites On finite symmetries and their gauging in two dimensions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On finite symmetries and their gauging in two dimensions

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.823598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5a52020-e1c5-4d82-98d1-708c7822210b · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.945043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14f60b5f-fede-4728-8cbd-ad0a6ca835a1 · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.043465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 395d415b-34f9-4594-a3da-d6a9eaaae242 · outbound

This paper cites Alge- braic higher symmetry and categorical symmetry: A holographic and 90 entanglement view of symmetry.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Alge- braic higher symmetry and categorical symmetry: A holographic and 90 entanglement view of symmetry

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.117568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72adcff8-61cc-4229-8b6a-74eba669575a · outbound

This paper cites Module categories over the Drinfeld double of a finite group.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Module categories over the Drinfeld double of a finite group

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.243023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d81ee159-21c8-499a-bd15-baa26df4b80d · outbound

This paper cites Module categories, weak Hopf algebras and modular invariants.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Module categories, weak Hopf algebras and modular invariants

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.349191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31a5ba9a-954e-4fa8-bc00-5b5ed920970b · outbound

This paper cites TFT construction of RCFT cor- relators I: partition functions.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders TFT construction of RCFT cor- relators I: partition functions

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.479335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b55d6475-4fbe-4673-95b2-4e180bd5ec3a · outbound

This paper cites On Frobenius algebras in rigid monoidal categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders On Frobenius algebras in rigid monoidal categories

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.604022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 288cd41c-b93d-431e-bd79-a88946c31bc0 · outbound

This paper cites Semisimple and separable algebras in multi-fusion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Semisimple and separable algebras in multi-fusion categories

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.787460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af795c2f-c956-4756-aa2d-5c006808b91c · outbound

This paper cites Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:16.913015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b5acec9-c973-49d6-9404-ffb35890cb16 · outbound

This paper cites Dualities in one-dimensional quantum lattice models: topological sectors.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Dualities in one-dimensional quantum lattice models: topological sectors

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:17.010990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3aaad0f-df16-4d07-a03b-51e0996431ce · outbound

This paper cites Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:17.115000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58a6308a-3f2f-445e-8fff-0ddf939c4386 · outbound

This paper cites Symmetry topological field theory and non-abelian Kramers- Wannier dualities of generalised Ising models.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Symmetry topological field theory and non-abelian Kramers- Wannier dualities of generalised Ising models

Reference 99

Resolution: verified exact; raw_fallback, observed 2026-08-06T21:09:20.512204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2821a877-a811-4366-81f0-425598b5afee · outbound

This paper cites Traces on module categories over fu- sion categories.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Traces on module categories over fu- sion categories

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:17.293258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e72a865-f9f2-4131-b162-5b2e2d260ee7 · outbound

This paper cites Discrete torsion defects.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Discrete torsion defects

Reference 101

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:17.365266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 51588b6d-c500-4d7f-b1bf-6aa61b0837e2 · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 204

Resolution: verified exact; arxiv_id, observed 2026-05-21T23:54:28.448724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c88eda1c-dd7f-470a-9fb7-04350acf30b6 · 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 Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 120

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:25:56.779845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 603b1bc9-d124-47e7-9672-0654b8e23b5a · inbound

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

Reference 122

Resolution: verified exact; arxiv_id, observed 2026-05-20T23:03:51.697515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 242d8e78-5337-4444-bfcc-c27452461bbc · inbound

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

Reference 115

Resolution: verified exact; arxiv_id, observed 2026-06-30T23:15:08.452776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0696cb3d-2ff8-447e-b831-16d2ffbb0ac7 · inbound

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

Reference 114

Resolution: unresolved; no resolver link, observed 2026-08-04T05:19:23.122338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99388a45-07d7-46d2-a3c4-4e8e47388df5 · inbound

Topological lattice gauge theory enriched by non-invertible symmetry cites this paper.

Topological lattice gauge theory enriched by non-invertible symmetry Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-06-29T10:03:17.231103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 77ec221f-c46b-4ac4-8a1a-d748d03093e4 · inbound

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

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 95

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:16:52.047309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 228891f9-e712-4c57-91fe-92f908e17f8a · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-07-02T13:57:00.364918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3be72644-7cc6-4f93-a4bb-020c03f73d82 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-02T12:26:59.980699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.