Paper Citation Record · LEDGER

SymTFT Approach for Mixed States with Non-Invertible Symmetries

As of 14 August 2026, this Paper Citation Record lists 100 of 118 outbound references and 14 inbound Pith citation observations for arXiv:2507.05350.

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

pith.paper-citation-record.v1
2507.05350 v1

Coverage vector

measured 100 of 118 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T19:35:34.889782Z

measured 114 of 114 standing notices

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

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:23:26.101343Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:18:12.868358Z

Reference resolution

100 of 118 outbound references displayed

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Outbound references

Observation 6aedd471-2913-404a-8d77-cef0abe48893 · outbound

This paper cites Let us first discuss how to incorporate weak symme- tries when all of the symmetries are invertible.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Let us first discuss how to incorporate weak symme- tries when all of the symmetries are invertible

Reference 1

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Observation 286a4d87-ddcf-4a5f-8767-f590a9b9bdd5 · outbound

This paper cites a condensable algebra of the form A=⊕ aLbR naLbR aLbR ,(VI.4) whereT(a L) =b R andn aLbR ̸= 0 only ifn aLbR,sym ̸= 0.

SymTFT Approach for Mixed States with Non-Invertible Symmetries a condensable algebra of the form A=⊕ aLbR naLbR aLbR ,(VI.4) whereT(a L) =b R andn aLbR ̸= 0 only ifn aLbR,sym ̸= 0

Reference 2

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Observation 970ab33d-60cc-499e-ad35-a476425eaba9 · outbound

This paper cites diagonal.

SymTFT Approach for Mixed States with Non-Invertible Symmetries diagonal

Reference 3

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Observation a94a3cc7-6d69-4e9a-8bce-229a613fae1f · outbound

This paper cites an unresolved cited work.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Unresolved cited work

Reference 4

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Observation 23356670-ac14-4eae-b397-f3344385b9c2 · outbound

This paper cites an unresolved cited work.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Unresolved cited work

Reference 5

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Observation a7397ad7-d1d0-47af-8558-6d418310487a · outbound

This paper cites It is useful to illustrate this forG=S 3, the simplest non-abelian group.

SymTFT Approach for Mixed States with Non-Invertible Symmetries It is useful to illustrate this forG=S 3, the simplest non-abelian group

Reference 6

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Observation 0f9a22c1-ac17-417a-9b7c-caac9da7819f · outbound

This paper cites The key observation is that eachσ L/R (and barred) anyon will braid non-trivially with the anyon in the algebra and therefore will be con- fined.

SymTFT Approach for Mixed States with Non-Invertible Symmetries The key observation is that eachσ L/R (and barred) anyon will braid non-trivially with the anyon in the algebra and therefore will be con- fined

Reference 7

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Observation 683ae500-177e-40c4-ae8a-fc1b4dd3ac6a · outbound

This paper cites fractional.

SymTFT Approach for Mixed States with Non-Invertible Symmetries fractional

Reference 8

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Observation c78459c9-9aac-43fa-aa6d-08486c2c8645 · outbound

This paper cites infinite randomness fixed point,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries infinite randomness fixed point,

Reference 9

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Observation 153c6393-f3e6-493d-b184-b887b6642f33 · outbound

This paper cites Consider theTY(A) categories, which generalize theIsing=TY(Z 2) to an arbitrary abelian groupA.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Consider theTY(A) categories, which generalize theIsing=TY(Z 2) to an arbitrary abelian groupA

Reference 10

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Observation 6d6a77ff-e617-4d61-a48f-99a2e04f0341 · outbound

This paper cites (VI.72) Note that [ab] is charged only under the duality symme- tryEand is of dimension 1: it thus corresponds toX 1,−1 in theTYnotation.

SymTFT Approach for Mixed States with Non-Invertible Symmetries (VI.72) Note that [ab] is charged only under the duality symme- tryEand is of dimension 1: it thus corresponds toX 1,−1 in theTYnotation

Reference 11

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Observation 8056678a-760c-4269-b7e2-6e6af666d035 · outbound

This paper cites emergent symmetries.

SymTFT Approach for Mixed States with Non-Invertible Symmetries emergent symmetries

Reference 12

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Observation f7a10d89-c696-4d30-8728-133ac2b727b0 · outbound

This paper cites The Tambara- Yamagami (TY) fusion categoris are obtained fromAby considering the quantum double, i.e.

SymTFT Approach for Mixed States with Non-Invertible Symmetries The Tambara- Yamagami (TY) fusion categoris are obtained fromAby considering the quantum double, i.e

Reference 13

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Observation 4fd42220-fe36-4464-9e04-416ac21109e3 · outbound

This paper cites an unresolved cited work.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Unresolved cited work

Reference 14

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Observation 20d796dd-b0aa-464e-a325-8e4c7a6abae4 · outbound

This paper cites The Lagrangian algebras are written in equation (V.121).

SymTFT Approach for Mixed States with Non-Invertible Symmetries The Lagrangian algebras are written in equation (V.121)

Reference 15

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

This paper cites Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions.

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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Observation e22c99e5-187e-4bc2-a4e6-02638113ca76 · outbound

This paper cites Orbifold groupoids.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Orbifold groupoids

Reference 17

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Observation a9e5047c-8067-424a-84df-a1a1a690894d · outbound

This paper cites Symmetry TFTs from String Theory.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry TFTs from String Theory

Reference 18

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Observation ff09157f-89c5-412b-af24-40dae69cd5f2 · outbound

This paper cites Topological symmetry in quantum field theory.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological symmetry in quantum field theory

Reference 19

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Observation 250bcca9-3043-4081-8f52-37b8df2e4552 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 20

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Observation 33e7caf8-353f-468a-acb2-14d0b8272520 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 21

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Observation f1a284c6-db58-472e-8ccd-05d5c9e132a8 · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Categorical Landau Paradigm for Gapped Phases

Reference 22

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Observation ad503280-47bb-4e15-badc-600899bb3bec · outbound

This paper cites Gapped Phases with Non-Invertible Symmetries: (1+1)d.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 23

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Observation 450a1ba3-6f88-4e46-bc05-86dbf4cb76f5 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Reference 24

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Observation 2537bd30-8775-4481-87ba-318a024589c0 · outbound

This paper cites Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 25

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Observation 3e428bd3-8e4d-4ece-94ad-8d07c8728c31 · outbound

This paper cites Illustrating the Categorical Landau Paradigm in Lattice Models.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Illustrating the Categorical Landau Paradigm in Lattice Models

Reference 26

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Observation 8379711e-c942-419d-a7a0-ed15ccbdadd6 · outbound

This paper cites Categorical Symmetries in Spin Models with Atom Arrays,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Categorical Symmetries in Spin Models with Atom Arrays,

Reference 27

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Observation cbaa3d84-0076-420f-be40-1a829284e09d · outbound

This paper cites Phases with non-invertible symmetries in 1+1D $\unicode{x2013}$ symmetry protected topological orders as duality automorphisms.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Phases with non-invertible symmetries in 1+1D $\unicode{x2013}$ symmetry protected topological orders as duality automorphisms

Reference 28

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Observation d43095e4-560a-425f-ab1e-4b73a9cd7953 · outbound

This paper cites A Gapless Phase with Haagerup Symmetry.

SymTFT Approach for Mixed States with Non-Invertible Symmetries A Gapless Phase with Haagerup Symmetry

Reference 29

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Observation 652030fb-5cd7-4190-b266-e34a531352fb · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d

Reference 30

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Observation 150c4ab8-7caa-4331-91f4-bf126be46894 · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 31

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Observation a31524d8-5787-4954-953f-a91595aca59a · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries On \'Etale Algebras and Bosonic Fusion 2-Categories

Reference 32

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Observation a728d5cb-8736-491a-b483-2c61221a1946 · outbound

This paper cites Towards All Categorical Symmetries in 2+1 Dimensions.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Towards All Categorical Symmetries in 2+1 Dimensions

Reference 33

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Observation bc556119-891b-4686-ab78-84896399473b · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II

Reference 34

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Observation fe39afe9-6e9a-4e32-8308-ecf3a29bbf22 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries (2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry,

Reference 35

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Observation 578bf98c-a798-4d7d-a40a-9affaad9619c · outbound

This paper cites Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness

Reference 36

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Observation 052895c3-5ecd-445e-850d-3e85345610e6 · outbound

This paper cites The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries.

SymTFT Approach for Mixed States with Non-Invertible Symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 37

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Observation 2c424671-e13b-47dc-acd0-ddd6f841a3a8 · outbound

This paper cites Classification of 1+1D gapless symmetry protected phases via topological holography.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Classification of 1+1D gapless symmetry protected phases via topological holography

Reference 38

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Observation 9427d3ba-b83b-4939-aba5-4fa4bb77bddc · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries,

Reference 39

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Observation a30fc7ea-2912-4e9a-b732-d0dec4b82d92 · outbound

This paper cites String condensation and topological holography for 2+1D gapless SPT.

SymTFT Approach for Mixed States with Non-Invertible Symmetries String condensation and topological holography for 2+1D gapless SPT

Reference 40

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Observation e524953d-f674-4138-9933-cf8cc167470a · outbound

This paper cites Gapless Phases in (2+1)d with Non-Invertible Symmetries.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Gapless Phases in (2+1)d with Non-Invertible Symmetries

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.703232Z

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Observation f22340ca-d479-471a-a498-9e40416be45a · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries

Reference 42

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Observation 75953ee4-d497-47a1-a0c7-7c83c491bcb3 · outbound

This paper cites Classification of phases for mixed states via fast dissipative evolution,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Classification of phases for mixed states via fast dissipative evolution,

Reference 43

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Observation f342b709-75de-44c6-8065-dffdcdb5b5cc · outbound

This paper cites Symmetry protected topological order in open quantum systems,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry protected topological order in open quantum systems,

Reference 44

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Observation 0aafb576-a365-48d4-a00a-b129a74176f1 · outbound

This paper cites Average symmetry-protected topological phases,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Average symmetry-protected topological phases,

Reference 45

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Observation 89dc5488-c7ff-49d9-aded-c24bdcc6374c · outbound

This paper cites Symmetry protected topological phases under decoherence,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry protected topological phases under decoherence,

Reference 46

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Observation 7ac8ccc3-7077-4f2d-a9be-65b91eb3cc44 · outbound

This paper cites Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 47

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Observation d8061b57-4207-485a-969a-e8e2c13401a5 · outbound

This paper cites Symmetry-enforced many-body separability transitions,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry-enforced many-body separability transitions,

Reference 48

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Observation 397dd115-c5e1-45e6-8d9f-b5a0da50aeb5 · outbound

This paper cites Symmetry Protected Topological Phases of Mixed States in the Doubled Space.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 49

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Observation a25358a7-cf27-467c-8bec-a9053837a762 · outbound

This paper cites Spontaneous strong symmetry breaking in open systems: Purification perspective,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Spontaneous strong symmetry breaking in open systems: Purification perspective,

Reference 50

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Observation b496c960-1016-4726-ad6a-7d4e7b27f013 · outbound

This paper cites Strong-to-weak spontaneous symmetry 47 breaking in mixed quantum states,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Strong-to-weak spontaneous symmetry 47 breaking in mixed quantum states,

Reference 51

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Observation 1166b8e9-23a1-497e-95be-c715994725d4 · outbound

This paper cites Mixed-state quantum anomaly and multipartite entanglement,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Mixed-state quantum anomaly and multipartite entanglement,

Reference 52

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Observation b1e4dda1-4457-4173-b9b5-074896b1fd0d · outbound

This paper cites Anomaly in open quantum systems and its implications on mixed-state quantum phases,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Anomaly in open quantum systems and its implications on mixed-state quantum phases,

Reference 53

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Observation c8ba6bfc-b0ef-4075-913f-4f56fd3366fb · outbound

This paper cites Average-exact mixed anomalies and compatible phases,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Average-exact mixed anomalies and compatible phases,

Reference 54

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Observation 8c8c95b4-8b06-4196-a666-e610d194f36c · outbound

This paper cites Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators

Reference 55

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Observation ef4ba070-a6a2-426f-a7bc-96f3a728240e · outbound

This paper cites Strong-to-weak spontaneous breaking of 1-form symmetry and intrinsically mixed topological order,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Strong-to-weak spontaneous breaking of 1-form symmetry and intrinsically mixed topological order,

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.749159Z

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Observation 3d31528a-b613-49f6-b369-845d01231068 · outbound

This paper cites Strong-to-weak spontaneous symmetry breaking and average symmetry protected topological order in the doubled hilbert space,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Strong-to-weak spontaneous symmetry breaking and average symmetry protected topological order in the doubled hilbert space,

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.751985Z

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Observation f9fa8f34-0cf0-4603-89a3-c8bd9f4ff00e · outbound

This paper cites Strange correlation function for average symmetry-protected topological phases,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Strange correlation function for average symmetry-protected topological phases,

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.754921Z

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Observation a891497b-aa18-4c61-905c-b66afe2471ab · outbound

This paper cites Anomalous matrix product operator symmetries and 1D mixed-state phases,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Anomalous matrix product operator symmetries and 1D mixed-state phases,

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.758071Z

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Observation 63f06182-a6e6-4bb8-9857-a59a810fd48c · outbound

This paper cites Mixed-state TQFTs.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Mixed-state TQFTs

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.761445Z

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Observation 030adb3d-a3f6-45d8-883b-8143a8ece326 · outbound

This paper cites Towards a classification of mixed-state topological orders in two dimensions.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Towards a classification of mixed-state topological orders in two dimensions

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.764943Z

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Observation a45e926b-8bab-4701-8e81-d160259d6573 · outbound

This paper cites Noisy approach to intrinsically mixed-state topological order,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Noisy approach to intrinsically mixed-state topological order,

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.768457Z

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Observation a3086330-56d1-43fd-9ace-1cca3602aa36 · outbound

This paper cites Stability and loop models from decohering non-abelian topological order,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Stability and loop models from decohering non-abelian topological order,

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.771777Z

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Observation 95c80772-b619-44af-9d94-a543fbd6429c · outbound

This paper cites Decoherence and wave-function deformation ofD 4 non-abelian topological order,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Decoherence and wave-function deformation ofD 4 non-abelian topological order,

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.774743Z

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Observation d4c4a0ce-a126-47e8-bc27-98339f965e74 · outbound

This paper cites Majorana chain and ising model-(non-invertible) translations, anomalies, and emanant symmetries,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Majorana chain and ising model-(non-invertible) translations, anomalies, and emanant symmetries,

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.777747Z

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Observation 24a7bc4d-6dba-4257-bda9-4398f254fd36 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries The witt group of non-degenerate braided fusion categories,

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.780675Z

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Observation edf71c8a-52eb-48da-9bcc-b1e96da2de39 · outbound

This paper cites Anyon condensation and tensor categories.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Anyon condensation and tensor categories

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.783868Z

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Observation dc27eb48-fe8a-4f55-a1f0-e6c799ec3cce · outbound

This paper cites Etingof, S.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Etingof, S

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.786904Z

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Observation 3ff7f5e2-d1b8-4c1c-b70f-24ab3b3924ee · outbound

This paper cites Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter,

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.789846Z

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Observation 688cfe00-850b-46dd-b758-e49f66df1e9b · outbound

This paper cites Symmetry as a shadow of topological order and a derivation of topological holographic principle,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry as a shadow of topological order and a derivation of topological holographic principle,

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.792932Z

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Observation 4c9dd27b-e8a9-4f91-a37e-e2102fe58536 · outbound

This paper cites Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.795680Z

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Observation ceb56c0b-8bd0-4f28-a3ad-4753d2722a26 · outbound

This paper cites Noninvertible symmetry-protected topological order in a group-based cluster state,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Noninvertible symmetry-protected topological order in a group-based cluster state,

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.798838Z

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Observation d6ab42bc-aa3b-493b-912e-c666de0d79b4 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.801743Z

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Observation 28a06c87-43d0-4a57-88d7-a50935333c5b · outbound

This paper cites Interacting anyons in topological quantum liquids: The golden chain.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Interacting anyons in topological quantum liquids: The golden chain

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.805282Z

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Observation c9d77e25-ac27-452f-a53c-b849de224ef3 · outbound

This paper cites A short introduction to Fibonacci anyon models.

SymTFT Approach for Mixed States with Non-Invertible Symmetries A short introduction to Fibonacci anyon models

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.809181Z

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Observation b959ee44-703c-44ff-b149-54f381b2a673 · outbound

This paper cites Topological Defects on the Lattice I: The Ising model.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Defects on the Lattice I: The Ising model

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.812414Z

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Observation 2d821c22-7a0f-43a7-8c7c-4ead96c28733 · outbound

This paper cites Anyonic Chains, Topological Defects, and Conformal Field Theory.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Anyonic Chains, Topological Defects, and Conformal Field Theory

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.815515Z

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Observation fdd511d3-7782-4c7b-bcdb-d57652046f27 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.819164Z

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Observation 4249c84c-1880-4056-91bf-37050df9bc22 · outbound

This paper cites On lattice models of gapped phases with fusion category symmetries.

SymTFT Approach for Mixed States with Non-Invertible Symmetries On lattice models of gapped phases with fusion category symmetries

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.822389Z

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Unavailable: canonical work link unavailable.

Observation 6c927333-3622-4aa1-8c61-32fa2028fa7e · outbound

This paper cites Spin chains, defects, and quantum wires for the quantum-double edge.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Spin chains, defects, and quantum wires for the quantum-double edge

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:35:35.555680Z

Source-reported events for the cited work

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

Observation 4074b681-5265-43de-9c80-efb737296539 · outbound

This paper cites Non-Abelian Hybrid Fracton Orders.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Non-Abelian Hybrid Fracton Orders

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.828579Z

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Unavailable: canonical work link unavailable.

Observation 2c364778-9947-43b6-8956-dbb3493870c4 · outbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Higher categorical symmetries and gauging in two-dimensional spin systems

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.831551Z

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Observation 365e4035-927d-4288-8d17-ac831e505c4f · outbound

This paper cites Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT,

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.835215Z

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Observation 8860b0f5-b027-4ba4-a395-3af6701b17bd · outbound

This paper cites Tensor categories with fusion rules of self-duality for finite abelian groups,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Tensor categories with fusion rules of self-duality for finite abelian groups,

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.838405Z

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Observation 02b12200-b7c5-49c5-8479-d32cac3c0317 · outbound

This paper cites SymTFTs, Anyon Condensation, and Twin Algebras (to appear).

SymTFT Approach for Mixed States with Non-Invertible Symmetries SymTFTs, Anyon Condensation, and Twin Algebras (to appear)

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.841318Z

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Observation 1904d31d-ae7f-402a-b76d-0543adda8147 · outbound

This paper cites Cluster state as a noninvertible symmetry-protected topological phase,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Cluster state as a noninvertible symmetry-protected topological phase,

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.844097Z

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Observation 0ad8bb5f-6221-4a84-80eb-d9bbf3ffe0fa · outbound

This paper cites Random transverse field ising spin chains,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Random transverse field ising spin chains,

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.506787Z

Source-reported events for the cited work

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

Observation 54891d8b-6dd0-474f-be15-363af241d4d5 · outbound

This paper cites Critical behavior of random transverse-field ising spin chains,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Critical behavior of random transverse-field ising spin chains,

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.496036Z

Source-reported events for the cited work

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

Observation 0cd3588e-2c1e-43bb-a258-09ac0bb86a0b · outbound

This paper cites Centers of graded fusion categories.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Centers of graded fusion categories

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.853368Z

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Observation 5c57af69-ce20-45b7-a1a4-b055435a5b11 · outbound

This paper cites Symmetry TFTs for Non-Invertible Defects.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry TFTs for Non-Invertible Defects

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.856708Z

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Observation acbce820-1655-405e-abba-c117e060a20b · outbound

This paper cites Anomalies of non-invertible self-duality symmetries: fractionalization and gauging.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Anomalies of non-invertible self-duality symmetries: fractionalization and gauging

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.860028Z

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Observation bf8b449b-feaa-4f19-b8d6-20c1f241e106 · outbound

This paper cites Noninvertible Symmetry-Enriched Quantum Critical Point.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.863180Z

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Observation 4127f83b-64c7-49b7-9d90-a6434befd54d · outbound

This paper cites On lagrangian algebras in group-theoretical braided fusion categories,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries On lagrangian algebras in group-theoretical braided fusion categories,

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.486014Z

Source-reported events for the cited work

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

Observation 2fda0d04-ec21-4a29-9cc0-4fdd858b0d08 · outbound

This paper cites Computing Modular Data for Pointed Fusion Categories.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Computing Modular Data for Pointed Fusion Categories

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.869587Z

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Observation aa11d4c7-99e7-4ab5-9481-b7a048da3997 · outbound

This paper cites GAP – Groups, Algorithms, and Programming, Version 4.14.0,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries GAP – Groups, Algorithms, and Programming, Version 4.14.0,

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.475545Z

Source-reported events for the cited work

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

Observation ca78f737-0e0f-484a-aef8-05092a4619ed · outbound

This paper cites SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement.

SymTFT Approach for Mixed States with Non-Invertible Symmetries SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.876706Z

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Unavailable: canonical work link unavailable.

Observation 04a067d2-b6f3-41ee-b400-b5acb770c87a · outbound

This paper cites Topological order at nonzero temperature,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological order at nonzero temperature,

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.464058Z

Source-reported events for the cited work

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

Observation 38cb063d-7863-4577-a02b-6e071b30a076 · outbound

This paper cites Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.882696Z

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Observation b1c09c09-3798-44c2-a0f1-ce035cf2a695 · outbound

This paper cites Diagnostics of mixed-state topological order and breakdown of quantum memory,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Diagnostics of mixed-state topological order and breakdown of quantum memory,

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.452836Z

Source-reported events for the cited work

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

Observation bff78443-c242-4d05-9746-702b984600c5 · outbound

This paper cites Separability transitions in topological states induced by local decoherence,.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Separability transitions in topological states induced by local decoherence,

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:36.442329Z

Source-reported events for the cited work

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

Pith citing papers

Observation 18dd1218-e9c6-4a50-b1a2-072a1c6dfa80 · inbound

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Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-05T05:32:59.979352Z

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Observation 7d25e60e-bd97-4dfc-b7d6-06db9f461dcf · inbound

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Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T20:14:17.538472Z

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Observation 896e8bcb-f60c-426b-931f-5005ef417547 · inbound

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Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 57

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T13:41:25.759814Z

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

Observation b817416d-2546-4fbb-b3b1-822d789d12f6 · inbound

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Information Loss in Generalized Symmetry Breaking SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-04T13:54:38.744065Z

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Unavailable: canonical work link unavailable.

Observation 315ffa3e-7d38-4342-bce3-6ae39085e012 · inbound

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Reference 50

Resolution: verified exact; arxiv_id, observed 2026-05-21T17:25:25.447924Z

Source-reported events for the cited work

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

Observation b979e29f-a2c0-4889-9706-be59c42aafd5 · inbound

Entropic order parameters and topological holography cites this paper.

Entropic order parameters and topological holography SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-03T13:33:42.629869Z

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Unavailable: canonical work link unavailable.

Observation 5a3bfd04-ec46-4459-a093-6763158e28e4 · inbound

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Reference 68

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T12:41:03.994514Z

Source-reported events for the cited work

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

Observation 771b79d3-d0f1-48e7-84e8-31c18530c671 · inbound

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models cites this paper.

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-02T15:57:26.674367Z

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Observation 97643fe0-75bf-471c-9e55-3df6a093e419 · inbound

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Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:01:15.358430Z

Source-reported events for the cited work

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

Observation d84372de-a2f1-4886-9e12-aaf0e34916a7 · inbound

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Algebras of order parameters in one-dimensional spin systems SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 126

Resolution: verified exact; arxiv_id, observed 2026-07-01T16:25:49.555133Z

Source-reported events for the cited work

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

Observation b70c0418-de8f-4b3b-ba94-2efd671963fc · inbound

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Strong-to-Weak Spontaneous Symmetry Breaking SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 115

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T23:36:22.073445Z

Source-reported events for the cited work

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

Observation 0873291b-7434-4639-a07f-c327f0101ccc · inbound

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations cites this paper.

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Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:18:12.869745Z

Source-reported events for the cited work

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

Observation fbbb3265-1a15-4a45-a89f-e9a6b4143346 · inbound

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations cites this paper.

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-30T10:44:37.374371Z

Source-reported events for the cited work

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

Observation 7286f5a8-5950-43bb-8c41-234d42ddef58 · inbound

Quantized topological invariant of symmetry-projected Gibbs states cites this paper.

Quantized topological invariant of symmetry-projected Gibbs states SymTFT Approach for Mixed States with Non-Invertible Symmetries

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-08T19:23:26.101343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.