Paper Citation Record · LEDGER

Noninvertible Symmetry-Enriched Quantum Critical Point

As of 17 August 2026, this Paper Citation Record lists 94 of 94 outbound references and 7 inbound Pith citation observations for arXiv:2411.19034.

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

pith.paper-citation-record.v1
2411.19034 v1

Coverage vector

measured 94 of 94 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:47:20.267370Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

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

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:30.468873Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T06:22:38.402604Z

Reference resolution

94 of 94 outbound references displayed

verified exact2
verified fuzzy15
unresolved77
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External citation measurements

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Outbound references

Observation 057bd6be-d668-4db6-b5a2-f7cd157eee45 · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Noninvertible Symmetry-Enriched Quantum Critical Point Kramers-Wannier duality from conformal defects

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.737249Z

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Observation 8974e6d0-8563-4ad2-8bbf-8b728f66b58a · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.712131Z

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Observation 97bfbc26-8613-4c4d-97c2-97cb44a2f0fa · outbound

This paper cites hidden symmetry breaking.

Noninvertible Symmetry-Enriched Quantum Critical Point hidden symmetry breaking

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.717619Z

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Observation cf4a8b57-00db-48b9-9dd4-f443b0d97738 · outbound

This paper cites Hence they should have a trivial symmetry-twist in the ground state space, i.e., 1 +ue = uo = 0.

Noninvertible Symmetry-Enriched Quantum Critical Point Hence they should have a trivial symmetry-twist in the ground state space, i.e., 1 +ue = uo = 0

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.722937Z

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Observation 8b4aa8b5-9be9-4c65-8053-d6b5d190eef6 · outbound

This paper cites (16) In addition, for the dual models of Cluster-SPT and Even-SPT phase, as ZV 2 and diag(ZV 2 × Zo.

Noninvertible Symmetry-Enriched Quantum Critical Point (16) In addition, for the dual models of Cluster-SPT and Even-SPT phase, as ZV 2 and diag(ZV 2 × Zo

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.727658Z

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Observation 2e322a36-8d5b-4e0b-8850-749c5adda071 · outbound

This paper cites The result for all cases is summarized in Table I.

Noninvertible Symmetry-Enriched Quantum Critical Point The result for all cases is summarized in Table I

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.732389Z

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Observation 26403f7a-7f3f-4d26-bc68-b8c734909cb9 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Duality and defects in rational conformal field theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.742046Z

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Observation 4d69f7f2-7162-43a8-8a80-4ef1d351fbc4 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Topological Defects on the Lattice I: The Ising model

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.746860Z

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Observation 8c7b6ca4-1f78-43d0-a9e8-ccf1cd0f9e25 · outbound

This paper cites Topological Defects on the Lattice: Dualities and Degeneracies.

Noninvertible Symmetry-Enriched Quantum Critical Point Topological Defects on the Lattice: Dualities and Degeneracies

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.751824Z

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Observation 7acceb3f-8bc1-43da-a50e-1abc9b166ed1 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point On finite symmetries and their gauging in two dimensions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.756629Z

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Observation e9188bcd-945d-4e56-89ff-2b9958982319 · outbound

This paper cites On gauging finite subgroups.

Noninvertible Symmetry-Enriched Quantum Critical Point On gauging finite subgroups

Reference 11

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Observation 87f64f1e-2a84-4088-a67f-e82a271d4548 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.766823Z

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

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

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

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.771453Z

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Observation def346eb-3749-4e72-ba8a-67062428add5 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.776107Z

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Observation 7c5465a3-59fb-4ad5-b4e7-220d278d5f02 · outbound

This paper cites Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond.

Noninvertible Symmetry-Enriched Quantum Critical Point Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.780705Z

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Observation 5e8857d0-0c60-4bc2-ba6d-1390623ebc00 · outbound

This paper cites Non-invertible topological defects in 4-dimensional $\mathbb{Z}_2$ pure lattice gauge theory.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible topological defects in 4-dimensional $\mathbb{Z}_2$ pure lattice gauge theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.785271Z

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Observation b5bbb00e-f1e9-434c-9fb4-00a3ca31176e · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

Noninvertible Symmetry-Enriched Quantum Critical Point Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.790665Z

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Observation b74dae9a-7567-46a1-906f-630bf9d3feab · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Duality Defects in 3+1 Dimensions

Reference 18

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Observation 825ac9d0-c921-4c71-913c-c067a900e0f4 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Higher Gauging and Non-invertible Condensation Defects

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.800147Z

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Observation 8b92ab05-8a12-4115-a5e7-2ad799628023 · outbound

This paper cites Non-Invertible Higher-Categorical Symmetries.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Higher-Categorical Symmetries

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.805392Z

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Observation c9ac14ff-1bc3-440c-83c7-a7618a64d349 · outbound

This paper cites Non-Invertible Chiral Symmetry and Exponential Hierarchies.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.810003Z

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Observation 82456cac-55a9-4fec-8cd3-a394a5dcff2d · outbound

This paper cites Non-invertible Global Symmetries in the Standard Model.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible Global Symmetries in the Standard Model

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.814649Z

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Observation a9b158da-16da-42c1-8be7-9ed4f5d81bc8 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.819370Z

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Observation edfdc858-ccf7-4620-8cac-03c4dd679656 · outbound

This paper cites Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.824175Z

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Observation 5a6e052c-148b-45fb-9c07-47d9f8f372ba · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Construction of two-dimensional topological field theories with non-invertible symmetries

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.944741Z

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Observation 584fb981-5963-489b-a1b0-c1b9c201810a · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point On lattice models of gapped phases with fusion category symmetries

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.950464Z

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Observation 0e694229-50e8-405c-b499-9016aa152b8e · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.955675Z

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Observation 0b095017-145b-4464-97aa-2dd6c6b056ee · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Dualities in one-dimensional quantum lattice models: topological sectors

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.960372Z

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Observation 3946e658-ace7-4872-99af-a0204d2faa4d · outbound

This paper cites Subsystem Non-Invertible Symmetry Operators and Defects.

Noninvertible Symmetry-Enriched Quantum Critical Point Subsystem Non-Invertible Symmetry Operators and Defects

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.965017Z

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Observation 3abadf32-71d6-4537-8941-8a68cfe29dd5 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.974489Z

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Observation d1b55b16-9954-475b-988c-e149013c68c7 · outbound

This paper cites Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.979103Z

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Observation 3b30cb2a-b9f9-4455-b823-a2ad8dda9c35 · outbound

This paper cites Generalized Kramers-Wannier Duality from Bilinear Phase Map.

Noninvertible Symmetry-Enriched Quantum Critical Point Generalized Kramers-Wannier Duality from Bilinear Phase Map

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.984072Z

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Observation 25f47fb4-728e-433b-a000-ec8d4fb4c96c · outbound

This paper cites Generating Lattice Non-invertible Symmetries.

Noninvertible Symmetry-Enriched Quantum Critical Point Generating Lattice Non-invertible Symmetries

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.988575Z

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Observation 93d48b44-89c0-4b88-9c16-92d003b3b2a9 · outbound

This paper cites Non-invertible symmetries act locally by quantum operations.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible symmetries act locally by quantum operations

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.993379Z

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Observation 87dd2c27-3fb7-4b20-86e5-f9c5361439f7 · outbound

This paper cites Gorantla, S.-H.

Noninvertible Symmetry-Enriched Quantum Critical Point Gorantla, S.-H

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.997830Z

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Observation 908d889b-5b4b-4612-89ca-bcc1bb4c4c2b · outbound

This paper cites Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections.

Noninvertible Symmetry-Enriched Quantum Critical Point Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.002438Z

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Observation b002bf80-7912-4c67-aa21-c983aaa21f0d · outbound

This paper cites Self-duality under gauging a non-invertible symmetry.

Noninvertible Symmetry-Enriched Quantum Critical Point Self-duality under gauging a non-invertible symmetry

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.007214Z

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Observation 0ca7c13f-8f5e-4253-b805-95022e1f37e4 · outbound

This paper cites Pollmann, E.

Noninvertible Symmetry-Enriched Quantum Critical Point Pollmann, E

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.012116Z

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Observation e42802b9-cd37-4381-9b67-ddf8891c9029 · outbound

This paper cites Chen, Z.-C.

Noninvertible Symmetry-Enriched Quantum Critical Point Chen, Z.-C

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.016411Z

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Observation bee9dad3-4f04-4871-964e-9660ac4aef83 · outbound

This paper cites Chen, Z.-C.

Noninvertible Symmetry-Enriched Quantum Critical Point Chen, Z.-C

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.021075Z

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Observation 37c208c0-4456-4f5d-b160-cec9eb7fc6c4 · outbound

This paper cites Gu and X.-G.

Noninvertible Symmetry-Enriched Quantum Critical Point Gu and X.-G

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.025485Z

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Observation f16b5270-249a-440c-94f4-694ab6092b17 · outbound

This paper cites Topological field theories and symmetry protected topological phases with fusion category symmetries.

Noninvertible Symmetry-Enriched Quantum Critical Point Topological field theories and symmetry protected topological phases with fusion category symmetries

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.029687Z

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Observation ab6288ce-4a92-4a7c-ac3f-c9e99421e129 · outbound

This paper cites Anomalies of Non-Invertible Symmetries in (3+1)d.

Noninvertible Symmetry-Enriched Quantum Critical Point Anomalies of Non-Invertible Symmetries in (3+1)d

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.034466Z

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Observation c13ccc7d-920f-438e-863c-3bef10a00b9b · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.039144Z

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Observation b63e139c-8348-4b3f-b0e0-99e47cc2a2b4 · outbound

This paper cites Bhardwaj, D.

Noninvertible Symmetry-Enriched Quantum Critical Point Bhardwaj, D

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.043887Z

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Observation bce5aa93-c005-410a-8018-274b00ae83d3 · outbound

This paper cites Non-invertible symmetry-protected topological order in a group-based cluster state.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-invertible symmetry-protected topological order in a group-based cluster state

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.048170Z

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Observation 05de6ce1-257d-48db-9746-bdb517deca54 · outbound

This paper cites Seifnashri and S.-H.

Noninvertible Symmetry-Enriched Quantum Critical Point Seifnashri and S.-H

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.052765Z

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Observation 0e62f454-7864-4899-962e-afcb370c4006 · outbound

This paper cites Gapless Symmetry Protected Topological Order.

Noninvertible Symmetry-Enriched Quantum Critical Point Gapless Symmetry Protected Topological Order

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.057619Z

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Observation 7a2af4f2-ed82-4480-9f98-35173af2408d · outbound

This paper cites Borla, R.

Noninvertible Symmetry-Enriched Quantum Critical Point Borla, R

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.062344Z

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Observation 2d7ab88f-191d-4f50-860c-aabdc1bbe317 · outbound

This paper cites Thorngren, A.

Noninvertible Symmetry-Enriched Quantum Critical Point Thorngren, A

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.066876Z

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Observation 83a0bf2a-95f0-418c-802e-07efbdecc2a5 · outbound

This paper cites Verresen, R.

Noninvertible Symmetry-Enriched Quantum Critical Point Verresen, R

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.071296Z

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Observation 739f7168-19ef-4857-8084-26eb651d11ec · outbound

This paper cites Yu, R.-Z.

Noninvertible Symmetry-Enriched Quantum Critical Point Yu, R.-Z

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.075547Z

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Observation 1a5b50cc-0474-41a5-8447-e083145fd852 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.079902Z

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Observation 7561ec77-57bb-4630-8dc6-ed47182d407e · outbound

This paper cites Decorated Defect Construction of Gapless-SPT States.

Noninvertible Symmetry-Enriched Quantum Critical Point Decorated Defect Construction of Gapless-SPT States

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.084332Z

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Observation 62ad9a8b-652e-4a11-bb5b-005fc719bc40 · outbound

This paper cites Wen and A.

Noninvertible Symmetry-Enriched Quantum Critical Point Wen and A

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.713081Z

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

Observation b8e1f29c-191e-4404-a670-9b7faa069b72 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Classification of 1+1D gapless symmetry protected phases via topological holography

Reference 57

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Observation 3630bab1-1a83-4c40-82d3-63a50d7ae1c2 · outbound

This paper cites Stability and fine structure of symmetry-enriched quantum criticality in a spin ladder triangular model.

Noninvertible Symmetry-Enriched Quantum Critical Point Stability and fine structure of symmetry-enriched quantum criticality in a spin ladder triangular model

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-12T10:47:20.487655Z

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

Observation 7a416876-9219-469f-9679-0a7ae7e540b4 · outbound

This paper cites Topological holography for fermions.

Noninvertible Symmetry-Enriched Quantum Critical Point Topological holography for fermions

Reference 59

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Observation 0b2a3c89-fc5a-4444-b644-187fc2eba2fc · outbound

This paper cites Fermionic quantum criticality through the lens of topological holography.

Noninvertible Symmetry-Enriched Quantum Critical Point Fermionic quantum criticality through the lens of topological holography

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.107261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7ac2739-d361-42f5-9c3e-4b6fa6335476 · outbound

This paper cites Universal entanglement spectrum in gapless symmetry protected topological states.

Noninvertible Symmetry-Enriched Quantum Critical Point Universal entanglement spectrum in gapless symmetry protected topological states

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-12T10:47:20.436078Z

Source-reported events for the cited work

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

Observation a8fa7ff7-0cf1-4f73-af41-01e673546d81 · outbound

This paper cites Su and M.

Noninvertible Symmetry-Enriched Quantum Critical Point Su and M

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.698970Z

Source-reported events for the cited work

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

Observation 033bdf64-bb7d-49cb-b3ae-71858767c070 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.121242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4a2ca75-5a00-497d-a758-df3f4455500f · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

Noninvertible Symmetry-Enriched Quantum Critical Point Categorical Landau Paradigm for Gapped Phases

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.125840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d7db0c6-4853-49c1-b219-426ae5fe3c9f · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Illustrating the Categorical Landau Paradigm in Lattice Models

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.130514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78cf101a-dc96-47a1-a2d9-9614bf386b57 · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.135419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35215fe4-473d-40fc-a11a-fdece1ab5d0f · outbound

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

Noninvertible Symmetry-Enriched Quantum Critical Point Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.140149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f35e48cd-93ec-4877-9961-d4ecddadd760 · outbound

This paper cites Kennedy and H.

Noninvertible Symmetry-Enriched Quantum Critical Point Kennedy and H

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.684508Z

Source-reported events for the cited work

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

Observation 6d930491-cd01-4a56-9a8c-591abd16dd63 · outbound

This paper cites Kennedy and H.

Noninvertible Symmetry-Enriched Quantum Critical Point Kennedy and H

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.670579Z

Source-reported events for the cited work

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

Observation 08e5577d-a250-4972-8f0e-b102ef2e6d5a · outbound

This paper cites Oshikawa, Journal of Physics: Condensed Matter 4, 7469 (1992).

Noninvertible Symmetry-Enriched Quantum Critical Point Oshikawa, Journal of Physics: Condensed Matter 4, 7469 (1992)

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.656420Z

Source-reported events for the cited work

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

Observation 4ff45760-38ac-4f47-9478-3f1b8a97b21b · outbound

This paper cites Tu, G.-M.

Noninvertible Symmetry-Enriched Quantum Critical Point Tu, G.-M

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.641253Z

Source-reported events for the cited work

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

Observation 13d04e62-3a4e-4e8f-a1f3-11503e755dfe · outbound

This paper cites Schollw ¨ock, O.

Noninvertible Symmetry-Enriched Quantum Critical Point Schollw ¨ock, O

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.626442Z

Source-reported events for the cited work

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

Observation da581d47-d089-4978-a2e9-735053aece0d · outbound

This paper cites Duivenvoorden and T.

Noninvertible Symmetry-Enriched Quantum Critical Point Duivenvoorden and T

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.610992Z

Source-reported events for the cited work

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

Observation 85e8281b-283e-49fb-844c-76d56ec2a14f · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.594872Z

Source-reported events for the cited work

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

Observation 4f94fb11-68ba-46dd-b4f2-431f8e3538f2 · outbound

This paper cites Okunishi, Phys.

Noninvertible Symmetry-Enriched Quantum Critical Point Okunishi, Phys

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.580237Z

Source-reported events for the cited work

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

Observation 6c87881d-f441-4353-8569-cac17aba3421 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.564139Z

Source-reported events for the cited work

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

Observation 2b067d6b-9514-46bc-8638-235b01622206 · outbound

This paper cites Kennedy-Tasaki transformation and non-invertible symmetry in lattice models beyond one dimension.

Noninvertible Symmetry-Enriched Quantum Critical Point Kennedy-Tasaki transformation and non-invertible symmetry in lattice models beyond one dimension

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.186079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c263e13-644f-4e58-bc94-fc4bced5e35f · outbound

This paper cites Non-Invertible Duality Transformation Between SPT and SSB Phases.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.190841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fc16d93-2330-4057-b2d2-727d848ec60d · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.549732Z

Source-reported events for the cited work

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

Observation f628d443-fb11-4c16-a453-abfe1ac254b0 · outbound

This paper cites [43], which does not change the ground state.

Noninvertible Symmetry-Enriched Quantum Critical Point [43], which does not change the ground state

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.535012Z

Source-reported events for the cited work

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

Observation 0d4f6d94-6528-4b55-ac42-7b85d93282e7 · outbound

This paper cites Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations.

Noninvertible Symmetry-Enriched Quantum Critical Point Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.204753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b583c5cb-350a-46db-9ae7-3a09a5de6335 · outbound

This paper cites Senthil, A.

Noninvertible Symmetry-Enriched Quantum Critical Point Senthil, A

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.209265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3699f5eb-63c8-4c9a-a483-28f4efa949fa · outbound

This paper cites Senthil, L.

Noninvertible Symmetry-Enriched Quantum Critical Point Senthil, L

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.213585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3e5d19c-be35-498c-8384-b9d1995dd983 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 84

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.501006Z

Source-reported events for the cited work

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

Observation 5005f82b-181e-4d7c-b406-b03d21b8415e · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.222253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7187b06c-83f0-46b5-8742-729450241ae2 · outbound

This paper cites Pollmann, S.

Noninvertible Symmetry-Enriched Quantum Critical Point Pollmann, S

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.226720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 573f0730-7139-4cc6-8367-3eb8a2aa0729 · outbound

This paper cites Operator content of real-space entanglement spectra at conformal critical points.

Noninvertible Symmetry-Enriched Quantum Critical Point Operator content of real-space entanglement spectra at conformal critical points

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.231196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d75c7567-3f9b-41ca-a1f1-672a3ba32c61 · outbound

This paper cites Huang, D.-C.

Noninvertible Symmetry-Enriched Quantum Critical Point Huang, D.-C

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.465934Z

Source-reported events for the cited work

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

Observation cdafcb93-efda-4012-8ceb-e45e68a79142 · outbound

This paper cites Huang, L.

Noninvertible Symmetry-Enriched Quantum Critical Point Huang, L

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.451895Z

Source-reported events for the cited work

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

Observation a19c782c-054d-4293-86d2-8d3b7d88a690 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 90

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.436713Z

Source-reported events for the cited work

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

Observation 00db908e-57dd-48fc-9755-ab295b8504c7 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 91

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.421070Z

Source-reported events for the cited work

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

Observation c1e36949-1187-450e-a654-96ad6585d9ac · outbound

This paper cites Li and Y.

Noninvertible Symmetry-Enriched Quantum Critical Point Li and Y

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.406314Z

Source-reported events for the cited work

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

Observation f02e6379-bfc8-4aed-9667-e21a4af48cb4 · outbound

This paper cites an unresolved cited work.

Noninvertible Symmetry-Enriched Quantum Critical Point Unresolved cited work

Reference 93

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:47:21.391983Z

Source-reported events for the cited work

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

Observation 984dc3b8-f83e-4495-acb3-0e528b25686f · outbound

This paper cites 23, we have D|Odd⟩Zo 2-TBC = D KT|SSB-Odd⟩ue=1,uo=0 = 2KT V |SSB-Odd⟩ue=1,uo=0 = −2KT|SSB-Odd⟩ue=1,uo=0 = −2|Odd⟩Zo 2-TBC.

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.377302Z

Source-reported events for the cited work

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

Observation f3e4f775-5d71-4069-baca-b5d4f9ed7194 · outbound

This paper cites We have D |Cluster⟩Zo 2-TBC = 2|Cluster⟩Zo 2-TBC, D |Even⟩Zo 2-TBC = 2|Even⟩Zo 2-TBC.

Noninvertible Symmetry-Enriched Quantum Critical Point We have D |Cluster⟩Zo 2-TBC = 2|Cluster⟩Zo 2-TBC, D |Even⟩Zo 2-TBC = 2|Even⟩Zo 2-TBC

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:47:21.363124Z

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.

Pith citing papers

Observation 4a072426-8ec4-4e97-8430-76ac27e38e27 · inbound

Gapless Symmetry-Protected Topological States in Measurement-Only Circuits cites this paper.

Gapless Symmetry-Protected Topological States in Measurement-Only Circuits Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 90

Resolution: verified exact; arxiv_id, observed 2026-05-23T06:22:38.406614Z

Source-reported events for the cited work

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

Observation 5c0c118a-8a5c-4e10-8a16-543760b68e4e · inbound

Deconfined criticality as intrinsically gapless topological state in one dimension cites this paper.

Deconfined criticality as intrinsically gapless topological state in one dimension Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 119

Resolution: verified exact; arxiv_id, observed 2026-05-23T02:12:24.206550Z

Source-reported events for the cited work

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

Observation 004866d3-bdb6-48a1-84b7-8c5aee549252 · inbound

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models cites this paper.

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:30.468873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8599ac1f-2d44-435b-af3f-b64388be0788 · inbound

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems cites this paper.

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-18T14:56:31.675925Z

Source-reported events for the cited work

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

Observation 78eb8cb8-c394-4d31-9581-8f8f9d053bb8 · inbound

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems cites this paper.

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:35:40.241714Z

Source-reported events for the cited work

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

Observation 6197c3ce-a449-4589-af98-2f4c36aa2b89 · 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 Noninvertible Symmetry-Enriched Quantum Critical Point

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-31T20:29:55.554564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.