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Paper Citation Record · LEDGER

Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 48 inbound Pith citation observations for arXiv:1912.13492.

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

pith.paper-citation-record.v1
1912.13492 v4

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measured 0 of 0 reference resolution

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measured 48 of 48 standing notices

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

measured 48 of 48 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.542331Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-10T18:07:31.532771Z

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 49f2635b-ca3a-419a-9f01-8ad7f9eaf4f5 · inbound

Non-Invertible Duality Defects in 3+1 Dimensions cites this paper.

Non-Invertible Duality Defects in 3+1 Dimensions Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 50

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arxiv_id, observed 2026-05-24T08:56:32.432258Z

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

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Observation 91f5d4ce-df1c-47b4-9846-ca4c51caab21 · inbound

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

Higher Gauging and Non-invertible Condensation Defects Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 31

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arxiv_id, observed 2026-05-24T09:58:23.028214Z

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

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Observation d91fcff8-5820-456d-90b9-7b4ab0e4f853 · inbound

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond cites this paper.

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 129

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arxiv_id, observed 2026-05-21T13:21:27.722202Z

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source=pdf_text observed=2026-05-21T13:21:27.164386Z digest=sha256:c38e4787fdd164f40e26c3c058795181c1e0040f6eb1556e01913bd9f2ebc90a

Observation 006ea34d-b5cd-451e-9faa-878980e1ce19 · inbound

ICTP Lectures on (Non-)Invertible Generalized Symmetries cites this paper.

ICTP Lectures on (Non-)Invertible Generalized Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 116

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arxiv_id, observed 2026-05-16T07:50:05.533766Z

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

source=pdf_text observed=2026-05-16T07:50:05.029267Z digest=sha256:a7bfa4a3450bdebc6b0dae9be7d53a93dc41165596b221d9768357e04b047b19

Observation 247dd2a3-c007-4d25-a7bf-0d4c05d05d58 · inbound

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries cites this paper.

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 204

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arxiv_id, observed 2026-05-24T07:34:08.580213Z

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

source=pdf_text observed=2026-05-24T07:32:13.524274Z digest=sha256:c29e1242961bc258ebb45d521f1377464cec749197b1b71fec34e6f5ad135bf6

Observation 24ccc8d8-5f83-48f0-a047-06fe66bd3c8e · inbound

Lattice Models for Phases and Transitions with Non-Invertible Symmetries cites this paper.

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 36

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arxiv_id, observed 2026-05-24T01:18:42.579588Z

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source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:e405c3a59659a9fb3a85e51f4c0ed068a35263e49f0f80ae6474bb09bcf7eeb8

Observation d76777cd-5d44-4f08-98d6-c88c7074c2fb · inbound

Self-$G$-ality in 1+1 dimensions cites this paper.

Self-$G$-ality in 1+1 dimensions Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 30

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arxiv_id, observed 2026-05-24T00:35:56.234781Z

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source=pdf_text observed=2026-05-24T00:34:34.943035Z digest=sha256:020feb0f65a887b3da5226f2da36ed7cf8832bae078fe4575b04d17c4aa61e14

Observation 0bc02945-65c3-4535-a88e-f767649aa763 · inbound

SymTFTs for $U(1)$ symmetries from descent cites this paper.

SymTFTs for $U(1)$ symmetries from descent Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 2

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source=pdf_text observed=2026-08-12T14:39:04.446535Z digest=sha256:a761d66eef28c7a02ae73fc80b7b7ae40efa22500fb8173c4fb7bcdda0590d42

Observation daa2712c-5782-42cf-96c9-2c8509b986d1 · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 13

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source=pdf_text observed=2026-08-12T10:47:19.771453Z digest=sha256:7878dde64c71eccc2bc64b5f04974811ada081efbe05c2227bf7644912468cae

Observation 82994cb7-fcd2-41e9-88bb-4c1bac19ac47 · inbound

Quantum Cellular Automata on Symmetric Subalgebras cites this paper.

Quantum Cellular Automata on Symmetric Subalgebras Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 49

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no resolver link, observed 2026-08-12T10:24:33.811159Z

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source=pdf_text observed=2026-08-12T10:24:33.811159Z digest=sha256:5606de331736a28df79803794cab151991cad0caf58634b7a998d0a00679c966

Observation 3e43383a-7e0e-4888-9ef1-facaadf13bc8 · inbound

Tube Category, Tensor Renormalization and Topological Holography cites this paper.

Tube Category, Tensor Renormalization and Topological Holography Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 17

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source=pdf_text observed=2026-08-11T19:09:11.621280Z digest=sha256:511937784b36aa7c5700dbd25d9e5fbbe62bf15b59d25112bf9b80e06d5a5233

Observation cff32083-7ce0-4fba-a978-9c3aeb67bc49 · inbound

SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory cites this paper.

SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 31

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source=pdf_text observed=2026-08-11T18:35:27.615564Z digest=sha256:d648c6b53c9c5e450679a35b6dda1fdfd8fc300434d3508ad2fd0fce43b0a16b

Observation b4a78d4a-3267-4f72-b847-5eaf156864e3 · inbound

QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow cites this paper.

QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 7

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source=pdf_text observed=2026-08-11T14:24:38.053606Z digest=sha256:32f1eb01d6221072cf11c185af53f2e1daea8655dd8171eddd4c0c5bd0a20589

Observation 1c6a07a6-e4d5-499f-8c61-bde590ea1371 · inbound

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant cites this paper.

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 23

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source=pdf_text observed=2026-08-11T00:19:11.601978Z digest=sha256:c7eff62dcfab5f6e73a4db374770ba3685fe7d63d5027af309752013c96cf481

Observation 9490aaa9-6757-464d-913a-7271c6afa758 · inbound

Relative Quantum Gravity: Localized Gravity and the Swampland cites this paper.

Relative Quantum Gravity: Localized Gravity and the Swampland Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 105

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no resolver link, observed 2026-08-10T21:59:47.299198Z

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source=pdf_text observed=2026-08-10T21:59:47.299198Z digest=sha256:0f082b8f672930eeceefec70aafe61c8c560ca9b3afc18215343aa23b8c7cebd

Observation fd719ac3-dac4-4a4b-8692-91f6d7dfd5da · inbound

SymSETs and self-dualities under gauging non-invertible symmetries cites this paper.

SymSETs and self-dualities under gauging non-invertible symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 48

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source=pdf_text observed=2026-08-10T20:40:50.093004Z digest=sha256:04e0c08d855a391353854f73310cad5ed9c64ae4ca61adac4e8b3d2f1a169e1a

Observation 323ac577-8d87-44f2-9f2f-55fe15341ee1 · inbound

SymTFT construction of gapless exotic-foliated dual models cites this paper.

SymTFT construction of gapless exotic-foliated dual models Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 9

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arxiv_id, observed 2026-05-22T20:22:04.091409Z

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

source=pdf_text observed=2026-05-22T20:17:13.976164Z digest=sha256:f6eb95461a5c579df00956ee3d52aed26d1578cf9cc4de456456a3e07b5082da

Observation b9a0a6f8-265c-4921-bfa3-9b4f963c29d2 · inbound

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries cites this paper.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 87

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source=pdf_text observed=2026-08-16T10:20:21.542331Z digest=sha256:ad92ea778122a295d40aa738509b50599eb2383648eafc185d81b5bd618fa586

Observation 61d7a4da-caa1-481d-9bfc-522fd0337867 · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 53

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no resolver link, observed 2026-08-16T04:42:36.148693Z

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source=pdf_text observed=2026-08-16T04:42:36.148693Z digest=sha256:bde174893269b247f624e27f447933ca52449164d0faca997fe0f12bf53e0371

Observation 9274a7af-76d5-4b03-b7fe-ffceda93bdfb · inbound

Twisted Partition Functions as Order Parameters cites this paper.

Twisted Partition Functions as Order Parameters Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 10

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no resolver link, observed 2026-08-07T15:09:31.731858Z

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source=pdf_text observed=2026-08-07T15:09:31.731858Z digest=sha256:d92b6ebaa3023f7edf86874766ed86228e904edfbc6471dcab55cf6b17f056dd

Observation 1325aa0e-abf3-4791-9eb1-501d6ba30575 · inbound

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT cites this paper.

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 10

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no resolver link, observed 2026-08-07T10:28:33.822089Z

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source=pdf_text observed=2026-08-07T10:28:33.822089Z digest=sha256:36198855d1769466493261ad7fd70934eb98e257198542a27426447bc0effcdc

Observation bb709b9b-6e9f-4d33-a924-fe56da22659e · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 16

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no resolver link, observed 2026-08-06T19:35:33.813271Z

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source=pdf_text observed=2026-08-06T19:35:33.813271Z digest=sha256:13e8eb464cecae2683548b68f92b13075cbd54fba4016d873eded8059d974025

Observation 5a8bad75-ce30-4403-98be-6b32be763762 · inbound

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra cites this paper.

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 123

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no resolver link, observed 2026-08-06T15:07:43.848654Z

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source=pdf_text observed=2026-08-06T15:07:43.848654Z digest=sha256:7fcd7c3627029e11fa8ca2cf88346d7d33b4cdb6e4bdcc56b7703d9059ffa022

Observation 3a0dc295-df04-4b41-8853-e5a61f34f39a · inbound

Fusion Rules of Mobility cites this paper.

Fusion Rules of Mobility Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 26

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arxiv_id, observed 2026-05-18T22:16:51.764680Z

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

source=pdf_text observed=2026-05-18T22:13:40.067531Z digest=sha256:613a996e21db57f91e7ab87151f8fae1837cbed3985ba899e800323a1c8a15c8

Observation a7dd3d2a-8fd8-462a-bf90-21d6f314a670 · inbound

Disjoint additivity and local quantum physics cites this paper.

Disjoint additivity and local quantum physics Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 58

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no resolver link, observed 2026-08-05T10:57:40.739145Z

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source=pdf_text observed=2026-08-05T10:57:40.739145Z digest=sha256:375fc82db8c9151fea4fed650ac791b63bfe20aa9824c2827296651c9374cec0

Observation 6c33fffc-702b-4164-9bf0-e5ef065bdf2d · inbound

Symmetry TFTs for Continuous Spacetime Symmetries cites this paper.

Symmetry TFTs for Continuous Spacetime Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 8

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no resolver link, observed 2026-08-04T21:32:49.503091Z

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source=pdf_text observed=2026-08-04T21:32:49.503091Z digest=sha256:cd3f33bddb9768386b105a833c160ad532651754315473b34a7e99ccdc132dc7

Observation 8a888498-997f-4ac6-b5e3-aa3a9170cd11 · inbound

Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity cites this paper.

Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 28

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source=pdf_text observed=2026-08-04T20:14:17.268067Z digest=sha256:f6b19f1ea30ccc2fb77ba7ebc53e0524c0dcf839597a9ae481e0c19d80accb2c

Observation 5f93eab5-8aa6-4824-88c3-61dcb93f3f3a · inbound

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking cites this paper.

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 14

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source=pdf_text observed=2026-08-04T17:58:04.366748Z digest=sha256:db457b83afe30aba822ecf889f467366b1103a122e91070f1f9aa734e841ef2b

Observation e275dbb8-8b42-41c5-872e-270128245a30 · inbound

Information Loss in Generalized Symmetry Breaking cites this paper.

Information Loss in Generalized Symmetry Breaking Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 12

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source=pdf_text observed=2026-08-04T13:54:33.354747Z digest=sha256:292b66fb0298883407479ae0975adf395f3a160ae4afa7ef7e94fc57ed1c5346

Observation ad4edf83-c6be-4fb4-b8c2-5ae5dce17154 · inbound

The Line, the Strip and the Duality Defect cites this paper.

The Line, the Strip and the Duality Defect Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 9

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arxiv_id, observed 2026-05-16T07:42:32.261681Z

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

source=pdf_text observed=2026-05-16T07:40:51.701464Z digest=sha256:b4d0afd172b249b52d1645f469c103edc74806eea93e32b4a9b21e40acc03cc4

Observation 62bd3c6d-037b-42cc-8afe-7fcc0ad2296a · inbound

The Line, the Strip and the Duality Defect cites this paper.

The Line, the Strip and the Duality Defect Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 9

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no resolver link, observed 2026-08-03T04:54:20.807730Z

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source=pdf_text observed=2026-08-03T04:54:20.807730Z digest=sha256:f9d1ea1ab9ce02fa115f3934bb9a319f2d1a6290f11c196d3e2bd71f5c7855ea

Observation 5707509c-7e10-45bb-85a0-ff5b9d13971e · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 38

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arxiv_id, observed 2026-05-16T03:27:12.911033Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:1ab3e0f1a7141e58dbcfd415a9411e20ae9e46086e5a5de6937ff5da62f423da

Observation 00f7f610-2221-4922-9485-a94f6d31fb86 · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 4

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arxiv_id, observed 2026-05-12T00:01:14.993597Z

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

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:eeec1195fed7c4b77017e6f6e0933374a69f8376b2e137639c5054a8c0f8947a

Observation 8fdb913c-f628-4b53-a063-b95c93ea8593 · 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 Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 86

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arxiv_id, observed 2026-05-11T03:25:57.245358Z

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

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:50585b9ba40013d2d2d6424612d1d8072f7fb5c9ce9d8b6a760e02701b22a168

Observation 044a8c9b-587e-4f8c-9dc3-ee922e5cb715 · 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 Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 86

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:03:51.220469Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:a716cfc72bce9ee7f8f67bb7c6daf4c1a241d42a8a7fa5b2da8c56a3ba48bd96

Observation d0c65d97-fbc8-42eb-8611-3d09a1b0e434 · 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 Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 79

Resolution
verified exact
arxiv_id, observed 2026-06-30T23:15:08.541784Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:1f1d2996b1ab2e8243c22acac00f7c37017c5edf8b866ea4fbfc5d7b0ad366bd

Observation 49ef0c72-3559-402d-8558-de55e79beb35 · 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 Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-04T05:19:23.020993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:19:23.020993Z digest=sha256:e504a76744d824d6c280a940d9489994413e92987278883ece4839170a976e59

Observation 40022b26-3143-4f1e-9612-0cb6e7a3b9c9 · inbound

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries cites this paper.

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-06-29T13:13:27.890459Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-29T11:23:36.454172Z digest=sha256:5f62b7c1ed0c2ceebaedb3f35618b73f4c3d488435eabca92c70664be8da0d8c

Observation 20c76692-910d-4713-b5bc-b9e18451c011 · inbound

Twin Phases: Intrinsic Deconfined Quantum Criticality cites this paper.

Twin Phases: Intrinsic Deconfined Quantum Criticality Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 23

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.496856Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:5fe1bb5fa99641f787cde2f37caea6b6bb43d54f5503e9079c0a497e38d57b72

Observation ac238322-30bc-435e-a0d1-72409500bd14 · inbound

Twin Algebras: Condensable Algebras beyond Anyons cites this paper.

Twin Algebras: Condensable Algebras beyond Anyons Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 24

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.320423Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:4f90d2998baf594866a9fa2eca7d425124d1dbcae901e9fc70640aabed45c033

Observation c677a878-bd56-4f17-9928-c60c1ad423ad · inbound

Fracton Topological Holography cites this paper.

Fracton Topological Holography Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-07-02T03:16:34.254037Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-28T10:12:23.439370Z digest=sha256:247c4771dcc184e81a05eac715ed727704a85bd96c7510d3309dcaec9d95bd21

Observation fd1ca501-a359-4cf1-a08b-1618c1255552 · inbound

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging cites this paper.

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-07-10T18:07:31.533927Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T18:07:24.355218Z digest=sha256:88f9b9df0c53d9526b603c9e46162a527648d3430b7a9ead7fe50f58d64b6f5f

Observation 1dc41975-d044-4081-8a9a-13929fcef031 · inbound

Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras cites this paper.

Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.902612Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-07-10T04:50:47.916480Z digest=sha256:922330dbf2090c919b643f907211592ae9b776f9e0f88246ac4f2afd9715f4bf

Observation abbe0bf6-59c9-4baf-92d8-3d1cf28537c2 · inbound

Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T07:04:49.088038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:04:49.088038Z digest=sha256:a39683a3d496fa98789d519ed7c5ad7c561ccfc2ffc2783a16306a253ee82b22

Observation ed23af3c-734d-4ad6-87bd-9a59d7880e7e · inbound

Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T01:57:27.263078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:57:27.263078Z digest=sha256:06e1ea6cde715ac225a3342f8c02d86d54d48eb6b924ea45eb92a3aa31a2781c

Observation 622f0b8d-6316-4c45-be79-54289b992e47 · inbound

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals cites this paper.

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-31T20:29:53.488508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T20:29:53.488508Z digest=sha256:5678366d791b4bbdc53dd63769103fbf14dd6e2fb61be37eb50f874b2d7e2a57

Observation f0dae9ea-4390-45ae-8907-dba0ec0837e2 · inbound

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism cites this paper.

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 124

Resolution
unresolved
no resolver link, observed 2026-08-14T04:36:05.407718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:36:05.407718Z digest=sha256:cfe023a9c413fcfa1f61a67258c58341b81e2a9e52d3d8855c27ea884e48495a

Observation 68567e66-725c-4979-9f5f-873a33fd7bd0 · inbound

Proliferation Transitions for Non-Abelian Anyons cites this paper.

Proliferation Transitions for Non-Abelian Anyons Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-16T00:16:32.988852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:16:32.988852Z digest=sha256:a39e827ff3f67e0cacb29abff1dcb1f71533b20717a5d325beedf76db502b5ba