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Paper Citation Record · LEDGER

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

As of 22 August 2026, this Paper Citation Record lists 100 of 122 outbound references and 10 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 110 of 110 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:59:33.154191Z

measured 0 of 1 external citation measurements

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

Reference resolution

100 of 122 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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

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source=pdf_text observed=2026-08-06T21:09:05.799548Z digest=sha256:28c79c9f5e04d2f6ca053e2f9c2d60839d400ec75a85c1e4074fdc54d4d9fb40

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

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source=pdf_text observed=2026-08-06T21:09:05.846186Z digest=sha256:ba22df9d33e8d37a2ecf8470bf6da3c6d9a005e2b9716b41d1abe34253db463a

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

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source=pdf_text observed=2026-08-06T21:09:05.942937Z digest=sha256:14c123af615810f4a624a841e595dd6a44e7d7b6dac301c97edde147f06a8161

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

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source=pdf_text observed=2026-08-06T21:09:06.049724Z digest=sha256:815b94b6b3fd09e82e4570c7b0efbb7e7f7f845fb24c9cd3bfc585d60084f4d2

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

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source=pdf_text observed=2026-08-06T21:09:06.130710Z digest=sha256:32912c96879b65a4c4683bc0d9fe3b026e9a6a8e9fba382b2db7d439ea458d79

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

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source=pdf_text observed=2026-08-06T21:09:06.303969Z digest=sha256:e26b8848db30902297ddee5928e5f30c1f332376fbb09a5e9a7a6ad87e6a77f6

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

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source=pdf_text observed=2026-08-06T21:09:06.442080Z digest=sha256:1f78e041e7a8c6e961141cfc77f535d8ad0f4516303d318cea5292eb9e47afb0

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

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source=pdf_text observed=2026-08-06T21:09:06.568114Z digest=sha256:0312bd5d8c91803b2420a1d40e77881508444972cf9f5bbe8a7b55c016866ee8

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

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source=pdf_text observed=2026-08-06T21:09:06.719592Z digest=sha256:5b892695e2334f9ed0289578142b16857a494aff9b66a08b2611c39f5b97ff1f

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

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source=pdf_text observed=2026-08-06T21:09:06.810815Z digest=sha256:a990f744ad6d4ee386986fd58af43b55aa4d18eafd02d286d9171adee0777acf

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

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source=pdf_text observed=2026-08-06T21:09:06.915373Z digest=sha256:3f03a79cea574f7aeb86d7a0bf0feec06e61ba5b1cc4d23480d4c57283fe6ad3

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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source=pdf_text observed=2026-08-06T21:09:07.037333Z digest=sha256:6d0f34809a0a62018b068ca9787ca65dc6a99d5a606d2a1edb476c46f966cd7f

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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source=pdf_text observed=2026-08-06T21:09:07.157858Z digest=sha256:85a0003d16f993e236a7073df1021e9c19c12da60e9d88e468c49851eba8bc34

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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source=pdf_text observed=2026-08-06T21:09:07.334656Z digest=sha256:fbea08722769a9268e2f48e593adc98248259bc3eaca3fa2552d803f76c2e0a6

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

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source=pdf_text observed=2026-08-06T21:09:07.453828Z digest=sha256:c5a0767ba45d1cafcfaa7b9bd4e0b379e165b9c1e48fc5f8e4a9b7b7dbf6ee42

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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source=pdf_text observed=2026-08-06T21:09:07.555114Z digest=sha256:4b7d60c48da1df408ca51356f6b7315376c6b4b65ea24e74326420c2c7e05eb5

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

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source=pdf_text observed=2026-08-06T21:09:07.638174Z digest=sha256:d50bc1a9e16628f68d7d0abc6dfd8694f4af9da8f682d9ed6f4a44bd8124c692

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

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source=pdf_text observed=2026-08-06T21:09:07.756679Z digest=sha256:bf68f47897cc4f36aa8ea430b56bf80bf733f4b9e8af4faf74f7e1f5952bd879

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

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source=pdf_text observed=2026-08-06T21:09:07.884955Z digest=sha256:7de53ceb0f73415cf2653b4663323f27986911fc6fde4b6e1f7036d298a94052

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

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source=pdf_text observed=2026-08-06T21:09:08.057441Z digest=sha256:3b7f004f3e0532a338be11fb5f7c4f534b7ec1b6a8288af74ef087b51914bc8a

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

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source=pdf_text observed=2026-08-06T21:09:08.182768Z digest=sha256:cead35c2eea78ab74430449ae078eed1454d68154c04a9e26a7c916bd09016d9

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

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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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source=pdf_text observed=2026-08-06T21:09:08.608053Z digest=sha256:1e80c7ff91e6a913827d634f3f047961126c69d7ed2cbbdbcda72741cdf78296

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

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source=pdf_text observed=2026-08-06T21:09:08.709030Z digest=sha256:aa10441c49b0a4c6aa96bba89ec91f3c3e242d16562ca657a3664d5a4dedcf25

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

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source=pdf_text observed=2026-08-06T21:09:08.876406Z digest=sha256:f94b29b31860fcaea5c9f4cfa1be8521da0eada7344713a3c3541c494ce229f8

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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source=pdf_text observed=2026-08-06T21:09:09.008775Z digest=sha256:6de011af1ed5e57682fa53bdf2a22a5b8e9e900b2918a130f95c886dd8e59059

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

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source=pdf_text observed=2026-08-06T21:09:09.114063Z digest=sha256:2e7e06bc8802abfcbe53d4a066c71146781704a00958431024bdf48629172917

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

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:09.208355Z digest=sha256:564bd5c8c1d16db3230dac969817150e9343f9109eb8f677f92cbb7fbe85a9e4

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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source=pdf_text observed=2026-08-06T21:09:09.313068Z digest=sha256:a19f771fc13dfe067934353530a89cc853811de1fbef3fbd85f65595ea6872e3

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

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source=pdf_text observed=2026-08-06T21:09:09.418717Z digest=sha256:392fe3d8dc447c95b6b14b4329029bcef295b10d2ee4a8a9eac289c96d19a441

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

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local_arxiv, observed 2026-08-06T21:09:22.484122Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:09.507894Z digest=sha256:f89e314a667a5a1071bb18799b73e034165bcacfadf960c5c03506f45e75fbda

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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source=pdf_text observed=2026-08-06T21:09:09.606844Z digest=sha256:d5460d473aeca0cd219d642890c4b1f94967dcd79edbf959fe853bd996907e0e

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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source=pdf_text observed=2026-08-06T21:09:09.710829Z digest=sha256:ca4b0a1d8347c28dc5df67dd3bf5f55ad53be742d5a070ce8cd98b50a9ac0bc1

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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source=pdf_text observed=2026-08-06T21:09:09.819594Z digest=sha256:5abf2571e7639287b1be9ee32b9fd1e13fb3eb696d5d812182c01ca87b31194c

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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source=pdf_text observed=2026-08-06T21:09:09.949751Z digest=sha256:115486761b21f29ea6c146426c7bbfc7ea65338842cde086d2b422c48d20b0f3

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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source=pdf_text observed=2026-08-06T21:09:10.051308Z digest=sha256:4d5032cd63c2f3ad2f0ba68c10d3a3743f063b96cfae128166f73306cab8eb7d

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

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source=pdf_text observed=2026-08-06T21:09:10.144662Z digest=sha256:91e3ce29ed0b46b2c69b31c60177a2b45b7c2a915bd771791ed44660c82bf21f

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

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source=pdf_text observed=2026-08-06T21:09:10.224741Z digest=sha256:26cc9b95cb8488c0833dd93794f5d82a907c3175d98e620c9b53c0193685c6c6

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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source=pdf_text observed=2026-08-06T21:09:10.334210Z digest=sha256:fef8d7ca68542d403e620caac6885f62996a15bb9ba4a4f9c232644ae900826f

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

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source=pdf_text observed=2026-08-06T21:09:10.443395Z digest=sha256:06b3237f757d247faaa12b3a104f927382cf741c15637ee070c348f8d73c0020

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

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source=pdf_text observed=2026-08-06T21:09:10.579384Z digest=sha256:36c0d4a339a4caffeebb3ae65d9756f2c600f1ae69cf64d3e03e35017ec500e2

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

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source=pdf_text observed=2026-08-06T21:09:10.670321Z digest=sha256:2e7a35853fae45ba7cfd95046cf8913d9ce516c2f38cde9b84415d2ad939a2bd

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

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source=pdf_text observed=2026-08-06T21:09:10.808027Z digest=sha256:0499709f302bd5947580b6a27f474fa693d67b1086d0a2b2bc4f64483fd9cf21

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

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source=pdf_text observed=2026-08-06T21:09:10.918917Z digest=sha256:1ff81431ff9a9dec809eb29feb6e76b0b2731b14280826f11c3b2de5ea3bafaf

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

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source=pdf_text observed=2026-08-06T21:09:11.045084Z digest=sha256:1d4231966b008736063a38cf94b9be9e819039cdb76ea5852a9fb5f1b3c7826a

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
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source=pdf_text observed=2026-08-06T21:09:11.156371Z digest=sha256:06bbfab2aa51c3b662173a2f9a4e6311d4dfbd922729ef73d34c4a236d4d2132

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

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source=pdf_text observed=2026-08-06T21:09:11.273772Z digest=sha256:8ea1297f7815106145dfe875ef278c12df13919106591003ecf9e2081714ef13

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:11.421793Z digest=sha256:7f093cdcdb8db0c0e3a2493e5ff4dd7ebe647cfc0fc69438c79b9dca9363a36f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:11.525730Z digest=sha256:bad8340770bb6c239d02b98397622085615cfebb5e2b344db0ed2883d2e72f84

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

Resolution
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source=pdf_text observed=2026-08-06T21:09:11.659458Z digest=sha256:ad14edb140c6c45c2ca6deaa25db10a0e5a99a4d791c4847cae35e786037d1bf

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
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source=pdf_text observed=2026-08-06T21:09:11.799070Z digest=sha256:ca7f14784063ec28229aa2ea603eaa4e29024acd9ea5309325a613e01adde076

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:11.908918Z digest=sha256:ae6278b8a55dc396345a424c15867df0b48c94bd79b6c0f397512ef3f38c5a7d

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
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source=pdf_text observed=2026-08-06T21:09:12.038887Z digest=sha256:e16ae5964689a8755393575e8e4336b292a3baa2b125680248d4ddf3ec2bdbea

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

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source=pdf_text observed=2026-08-06T21:09:12.147968Z digest=sha256:01042ccf3267eea8654888ac884df649a36f9e6711093b8c4374b49ea6fdc38d

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

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source=pdf_text observed=2026-08-06T21:09:12.264840Z digest=sha256:17c9f5416022de83add8e1275d550603a04330b485a91476a8b706d18e8bfc13

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
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source=pdf_text observed=2026-08-06T21:09:12.423218Z digest=sha256:1adea938abdabf85ade32430d01199b914d806bee3d8436cd127e4ffea26b3b5

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
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source=pdf_text observed=2026-08-06T21:09:12.571102Z digest=sha256:4df107d1d908e57adc282e954847f3852f0afcbb19c3d4ed19dfd35f4e31e348

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

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source=pdf_text observed=2026-08-06T21:09:12.739136Z digest=sha256:e43cc8c5196c75e280aade779b17ebd903e8d8f15b68638fbce3cdf5d6d30cc0

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

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source=pdf_text observed=2026-08-06T21:09:12.858969Z digest=sha256:a3c1d209c1bb3ccbef69dcdd670a82ad3dcca75bc2347490a01305898834c079

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

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source=pdf_text observed=2026-08-06T21:09:12.981302Z digest=sha256:b9344d0b833d99597731a949f56243974331ba46858c10b01c7b3be01fe9e4f4

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

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source=pdf_text observed=2026-08-06T21:09:13.120230Z digest=sha256:6fdedf7ce48beeac44a755f21ef72f0836b103cac370c759c8406dc645633d13

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
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source=pdf_text observed=2026-08-06T21:09:13.225064Z digest=sha256:6ef9a518fc0482e5a98cceec9529e05e5b6d5b22beb452142860cb3f1037e4bc

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

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source=pdf_text observed=2026-08-06T21:09:13.346287Z digest=sha256:64160dd745a695cd4b6308dbf80747db13b113b22756f12e4b7b82731bda4af8

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

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source=pdf_text observed=2026-08-06T21:09:13.500579Z digest=sha256:f56bb9c4bc5220076a9f3ce104116eceaa7851a2f13bf87ee6c124329f184637

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

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source=pdf_text observed=2026-08-06T21:09:13.629069Z digest=sha256:031c91e2f5e86d18ce59140140838c6e3fcbdf287dee22cdc0670b34e56c9ac3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:13.749428Z digest=sha256:67138d9b211cfc05965567ed54b623988929de2d27852b35b8d3e6a2181d3722

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

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source=pdf_text observed=2026-08-06T21:09:13.905986Z digest=sha256:3a8d9084498155b8591ecac5b83c9ae34d8affbf4b2bb5da7ca483e2bf24236d

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

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

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source=pdf_text observed=2026-08-06T21:09:14.003901Z digest=sha256:9ac48ca78cbdede914c4d3000fbfa7c8b0f385eef30488e1b1b805c5378df90b

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

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

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source=pdf_text observed=2026-08-06T21:09:14.116611Z digest=sha256:110ec10b26e8724bfaa6305a112069b07e6cb36f13e422508c8ef899ef8a13ea

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:14.225364Z digest=sha256:504eb1dd97bd7f7f835f544603aa5220f3ab6fbda2b8c607027c318f1e9b72bd

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

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source=pdf_text observed=2026-08-06T21:09:14.310478Z digest=sha256:5039365b7aa6b5a0a65a34e62de7386ef815fb764467df5b571529f4e4407527

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:14.402373Z digest=sha256:d98a01d554028c72857d705ea00e762039c8856cebdb2f75b3c79675f91068a3

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

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source=pdf_text observed=2026-08-06T21:09:14.535107Z digest=sha256:77575782a6787f09ea27f443cadb8b1474bbfb7000978fdbcc0cb4886334634e

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

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source=pdf_text observed=2026-08-06T21:09:14.643262Z digest=sha256:c0f75e93ede4367c45ef0b04d80dd6aa1a31ea09c599157c610a70ee2ab0ab79

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

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source=pdf_text observed=2026-08-06T21:09:14.726391Z digest=sha256:bf1d52de3cb0b7cef6470ad4929d5e64bfe0f12e576c81affec77578f4019cfd

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

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source=pdf_text observed=2026-08-06T21:09:14.809738Z digest=sha256:4381983ce2fb4998e5e53cb3ede7ca9a5bbd2288e958bbb4e1253fe1f372cebd

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

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source=pdf_text observed=2026-08-06T21:09:14.895069Z digest=sha256:981d90026bd5ea2a440ab19a184f0d8461676b84e2fca7364cb5935576f31541

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

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source=pdf_text observed=2026-08-06T21:09:14.964538Z digest=sha256:2bc8fba3567c2974aa021fb7b9830d68ff9997bbdda924b544bbc870df20d818

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T21:09:15.073280Z digest=sha256:89544ed71416fa98fa4c6179f98c8388a495101764d5507b93179cdb4a7b0211

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

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source=pdf_text observed=2026-08-06T21:09:15.195595Z digest=sha256:5c86bd4cb312ae5e271a0c56c486e7feb83cd59101ea00c25b8fe15ed06d7653

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

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source=pdf_text observed=2026-08-06T21:09:15.303915Z digest=sha256:ccd0791fe2b445e441761dc74e66be1ead883641a12ae942534e66672a3b4dc1

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

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source=pdf_text observed=2026-08-06T21:09:15.383024Z digest=sha256:10b1d4368730ede26025e13db1a3cc7ccdac19dbfc35afede278c4f616ab2ca2

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

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source=pdf_text observed=2026-08-06T21:09:15.484777Z digest=sha256:599f53318967d02da4ded36f9f8fe20ca646ad9b88bff767de2755d530fda94d

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

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source=pdf_text observed=2026-08-06T21:09:15.597541Z digest=sha256:581fce7043debeaff77ebdecc37d88438375fbda926b8675d004daa12e72f2df

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

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source=pdf_text observed=2026-08-06T21:09:15.686104Z digest=sha256:f44e94d4005522faf7972affe8f15d49c620e356a5a58e536e3c0e0998742841

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

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source=pdf_text observed=2026-08-06T21:09:15.823598Z digest=sha256:aaefccd400d649308f0e8bcd54344dd5c00d81d754579b24ed2e0483313c8bae

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

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source=pdf_text observed=2026-08-06T21:09:15.945043Z digest=sha256:386b881a043f3bc14c5c1c5d1bc79d03ef92d20c1946104f6f9f1f7f49f92605

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

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source=pdf_text observed=2026-08-06T21:09:16.043465Z digest=sha256:0fd03580fde0bd36af45e8f6c2ec253a44eef72e448bb868c34f2f3b3de20e37

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

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source=pdf_text observed=2026-08-06T21:09:16.117568Z digest=sha256:935bcf74462bfa2af53255488017939bb1af9973da22a4a986244c3ba9927204

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

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source=pdf_text observed=2026-08-06T21:09:16.243023Z digest=sha256:10a10e2ea4f673ffe6521b921fc69c06a0c37720fe92bbcfdce94e5c87cdadc0

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

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source=pdf_text observed=2026-08-06T21:09:16.349191Z digest=sha256:5b8b9efe2f1e59fe4c5e3508398c5268d76cb9bc35468fbdea62a5c387c337e2

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

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source=pdf_text observed=2026-08-06T21:09:16.479335Z digest=sha256:b99772c2e09b259336d95064ac53fe768cf263dc9f6f01b99a461bd4bdd62c0d

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

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source=pdf_text observed=2026-08-06T21:09:16.604022Z digest=sha256:639bbdfff61e40c2579a10fc1e569142581afe94e2337adb47eb0c070d33f6b3

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

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source=pdf_text observed=2026-08-06T21:09:16.787460Z digest=sha256:523943a4016899ab93125ae23ee19bfff35d8e79f286ba441839825c00b51f64

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

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source=pdf_text observed=2026-08-06T21:09:16.913015Z digest=sha256:2abba67eca828827447bd6dab3c25de7de69f972cb191c1720b4da34bcf8acf4

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

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source=pdf_text observed=2026-08-06T21:09:17.010990Z digest=sha256:acbeab568db545fd1f09606e29f7be16dea6c43f9f3532afcc095306d87dc811

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

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source=pdf_text observed=2026-08-06T21:09:17.115000Z digest=sha256:3db623eaee0d3dfb6ce86db798328f1fc9fdd483d1585c591376f038b8d1654c

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

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raw_fallback, observed 2026-08-06T21:09:20.512204Z

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source=pdf_text observed=2026-08-06T21:09:17.196018Z digest=sha256:b9cc5e5882b8d8cc58c6773bd45dbe6109791b6965600afd6549c1acff334e6e

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

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source=pdf_text observed=2026-08-06T21:09:17.293258Z digest=sha256:7e7d1f7dddc996bb3e1b097779baf29cd6fae41a6ec72b34d71b61f0e0725817

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

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source=pdf_text observed=2026-08-06T21:09:17.365266Z digest=sha256:9c97da69fae86af7bd40de42c97e0954886a317e3359d535cba5818137e25532

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

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arxiv_id, observed 2026-05-21T23:54:28.448724Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T23:53:04.901248Z digest=sha256:1c2c86510aef4c4d360d2c589638b71db46112ca6ec699702ee1a343c15e4200

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:88c6e1b73a0ef727cb8e4f8c7dfe22c1b5a516a6a8345a792bca0a94fb133922

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.

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 122

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

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:c1e4229d27404b94c0bb897d735114c7852f0d2cc8bd5182bd3b18e0b0eb2afb

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.

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 115

Resolution
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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:50bc94d2f76ef0fbcfe1590043e97199440aac19fb83be67f42ff749d6615f9c

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.

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 114

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:19:23.122338Z digest=sha256:2c1a1ed65b0cb00c7af1aa746375ed9afbe638c58f04104904753290821031b5

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

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

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-29T09:55:51.803708Z digest=sha256:bebe7c4732e5df3e44dc574e174fe3bb13daf2b1f642f4d90c1be8b138bce028

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

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-28T05:12:12.178791Z digest=sha256:00336738d5bdd72deb5440318cf6f88ecf00af08d98000a1f92fcfcd244283e7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-28T00:46:19.482598Z digest=sha256:f4c2605fc1bb6e2ec71a5803d4a3f6dcfb11cd3355fd10c0999d8bc5f9dbd6eb

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.

source=pdf_text observed=2026-08-02T12:26:59.980699Z digest=sha256:b415741f06d464d261805aecf2149a736680c41e390a5efa183f51c50a25c676

Observation 8b20c52f-3c94-4886-928e-1433cf8a61f9 · inbound

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions cites this paper.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Reference 122

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:59:33.154191Z digest=sha256:483c9246bb488320296042fc86a55894aa11fa187df0750ddfacdb3761220cee