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Paper Citation Record · LEDGER

Topological Defects on the Lattice: Dualities and Degeneracies

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 64 inbound Pith citation observations for arXiv:2008.08598.

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

pith.paper-citation-record.v1
2008.08598 v1

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measured 0 of 0 reference resolution

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measured 64 of 64 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 64 of 64 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.143277Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-10T18:07:31.522229Z

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Outbound references

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Pith citing papers

Observation a7eeaa0b-c640-4447-8da0-74fcc9b0f2b0 · inbound

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

Non-Invertible Duality Defects in 3+1 Dimensions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 45

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arxiv_id, observed 2026-05-24T08:56:32.404477Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T08:56:32.050768Z digest=sha256:90b9f6e59164e30334e380d1a8f51d0402c85fdb4b72a9a3db57659eb3d0858e

Observation a9656c27-7c10-4d21-a972-92a1b8c56e5d · inbound

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

Higher Gauging and Non-invertible Condensation Defects Topological Defects on the Lattice: Dualities and Degeneracies

Reference 25

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arxiv_id, observed 2026-05-24T09:58:22.995070Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T09:58:22.639207Z digest=sha256:8b53f58598aa6e72a2acbb52ae35f35f704c5c4a859baea30ede1ca3972f4413

Observation 491fd603-7e99-4c50-b78e-8f0fbaaa0f33 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 124

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arxiv_id, observed 2026-05-21T13:21:27.707564Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-21T13:21:27.164386Z digest=sha256:99c9fbddd00c28436a8d11352c4dd40ec34fd0047b7e3e60d53cbafc32d8a96c

Observation d8b314f8-459a-4919-914a-cd3c64306f19 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 26

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arxiv_id, observed 2026-05-24T07:34:08.159365Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T07:32:13.524274Z digest=sha256:4376b75a4899f85258fa2a8b3816ac57b7a0c951723b5fce80a3fae7d0f776fb

Observation 39e746e9-d00c-46d1-b2f7-ccf29f0934d0 · inbound

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 65

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arxiv_id, observed 2026-05-24T01:18:42.746293Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:ef197069580b3798ae00c88af1926f4ca2a4174d699c3cc70270ae42c0f6b638

Observation 0b138409-2724-4aa5-a239-b29086a07e51 · inbound

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

Self-$G$-ality in 1+1 dimensions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 32

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arxiv_id, observed 2026-05-24T00:35:55.946285Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-24T00:34:34.943035Z digest=sha256:5c2c5fef3e8edf1b73a56e0d4117428fa6b36422a61ac40512a81e3026d0c69b

Observation 0d325a6a-dc7d-44b3-9189-4e3322331073 · inbound

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT cites this paper.

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Topological Defects on the Lattice: Dualities and Degeneracies

Reference 30

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arxiv_id, observed 2026-05-23T22:03:30.409536Z

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source=pdf_text observed=2026-05-23T22:02:57.740404Z digest=sha256:b7095816b3059ea1e6d2acb9b29b9915b2640406ff54a46757723475a418e4d2

Observation 3b493b55-01c6-4478-8da3-bf828da401f8 · inbound

Disentangling critical quantum spin chains with Clifford circuits cites this paper.

Disentangling critical quantum spin chains with Clifford circuits Topological Defects on the Lattice: Dualities and Degeneracies

Reference 33

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source=pdf_text observed=2026-08-12T17:21:55.872052Z digest=sha256:3c8706e1687ecf816e339ae684e849b48f19712001762765d48318dbe3c03baf

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

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

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

Reference 9

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source=pdf_text observed=2026-08-12T10:47:19.751824Z digest=sha256:d3164df09e4c8d1fa5b9d509d324d3527d8ab5de909df8aad5b5b1d5d9bb8c06

Observation 457ce995-33d1-4438-8135-77c8956da8e2 · inbound

A minimal tensor network beyond free fermions cites this paper.

A minimal tensor network beyond free fermions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 13

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no resolver link, observed 2026-08-11T21:43:41.293306Z

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source=pdf_text observed=2026-08-11T21:43:41.293306Z digest=sha256:4e1fbaa7938f2c85841dca2fdf332964bfa059b7345695de4a7f031f329a38bd

Observation f3df0d2b-9d7a-4eb4-94bf-633407f475c3 · inbound

The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes cites this paper.

The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes Topological Defects on the Lattice: Dualities and Degeneracies

Reference 33

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source=pdf_text observed=2026-08-11T19:52:30.370422Z digest=sha256:aa90f14e5f491113faa7b7b13b6f05fe23ccaac1b79861ba8d0b57b0c3db7245

Observation b930b1e9-aa1e-4d29-8a70-908106612e22 · inbound

Simplex tensor network renormalization group for boundary theory of 3+1D symTFT cites this paper.

Simplex tensor network renormalization group for boundary theory of 3+1D symTFT Topological Defects on the Lattice: Dualities and Degeneracies

Reference 14

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source=pdf_text observed=2026-08-11T17:58:09.414081Z digest=sha256:59bc81699d62c6a2b0ded246040f30458ecdf9f57fb54bcd90616b83f7f0a08d

Observation a5e78484-ff62-4914-a5ff-485ad04407f4 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 83

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source=pdf_text observed=2026-08-11T14:24:38.333897Z digest=sha256:84eea6db7cfa8df3e5e64b508fa149930814b3dab9627d28bd76e79790f04ea5

Observation d19e4c5d-5b77-4af8-b848-81ea60a17dba · inbound

Selection rules for RG flows of minimal models cites this paper.

Selection rules for RG flows of minimal models Topological Defects on the Lattice: Dualities and Degeneracies

Reference 35

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source=pdf_text observed=2026-08-11T10:30:50.383646Z digest=sha256:ea1f1cb26e4338be8031569172eecca05d1ff49395babed38556f081f67add97

Observation 5271f3c8-17b1-4afb-b4ce-564dc6f2163f · inbound

Variational Quantum Simulation of Anyonic Chains cites this paper.

Variational Quantum Simulation of Anyonic Chains Topological Defects on the Lattice: Dualities and Degeneracies

Reference 10

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source=pdf_text observed=2026-08-11T05:15:44.369672Z digest=sha256:8f086e4ee354a2206c6127dfb97667622d260ba50f65a2ab1c9f545acb26dc72

Observation 9c150233-defb-4fd8-b6ab-661bdb7e41d0 · inbound

Minimal Models RG flows: non-invertible symmetries & non-perturbative description cites this paper.

Minimal Models RG flows: non-invertible symmetries & non-perturbative description Topological Defects on the Lattice: Dualities and Degeneracies

Reference 13

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no resolver link, observed 2026-08-10T20:45:38.135002Z

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source=pdf_text observed=2026-08-10T20:45:38.135002Z digest=sha256:0aa7869410f38a37d974c35ac61001eb99c0c4d809c3c9d0f57b05fbd89ca303

Observation 9012443c-dde9-4739-9a5b-115b18a4d04a · inbound

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

SymSETs and self-dualities under gauging non-invertible symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 21

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no resolver link, observed 2026-08-10T20:40:49.960249Z

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source=pdf_text observed=2026-08-10T20:40:49.960249Z digest=sha256:102eb4ee078c464a674cab4001248aa0700b6e205c29bbbfbb0b2cd813ca8609

Observation b9537ba2-a70f-4ea3-81cb-69382c67d73c · inbound

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

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories Topological Defects on the Lattice: Dualities and Degeneracies

Reference 3

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source=arxiv_source observed=2026-08-10T13:38:16.624926Z digest=sha256:0fcdb1bde6d4e464f1216c64767396319531cd00287565a4b28cb51e1e9bd972

Observation a537573c-5780-47f7-a61b-9753432fe386 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 52

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source=pdf_text observed=2026-08-16T04:42:36.143277Z digest=sha256:b2bf974fe1709d293a3ac8be249ca14c789c68dfc5f7270254cb64327e11ee62

Observation 18892ead-c66b-4945-ad5f-aef809dec7f8 · inbound

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries cites this paper.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 46

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no resolver link, observed 2026-08-07T14:22:36.219558Z

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source=pdf_text observed=2026-08-07T14:22:36.219558Z digest=sha256:2b420e55ca97cf86d6dd12f7f83856a2901b8085d69983f58f94034cb60719a6

Observation 5470eca8-5a8f-418d-a97c-fee3bf2b5941 · inbound

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

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Topological Defects on the Lattice: Dualities and Degeneracies

Reference 33

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no resolver link, observed 2026-08-07T13:30:26.462099Z

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source=pdf_text observed=2026-08-07T13:30:26.462099Z digest=sha256:e198760c4d5a48ccd193ed38a006e6a06f5610d810f722f8d6d551ba04569f44

Observation 42617849-019f-4e1b-95dc-ba7db6a15d24 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 7

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no resolver link, observed 2026-08-07T10:28:33.440005Z

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source=pdf_text observed=2026-08-07T10:28:33.440005Z digest=sha256:a1aaef32771f2bf889dda7da0a66d161aee1e6c4e694ef6bdae7f608390112ae

Observation 453a98ec-4d94-4ff6-8a95-c63d518fe6b7 · inbound

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Topological Defects on the Lattice: Dualities and Degeneracies

Reference 143

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arxiv_id, observed 2026-05-19T08:07:11.604035Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-19T08:04:49.812169Z digest=sha256:165fc99d91318cbe36efe2a3597f0ac0b514273808277157f27ee5a4e3bb1c40

Observation 2a28f665-5bdc-47b5-935a-fe4f2c7b5517 · inbound

Irrational CFTs from coupled anyon chains with non-invertible symmetries? cites this paper.

Irrational CFTs from coupled anyon chains with non-invertible symmetries? Topological Defects on the Lattice: Dualities and Degeneracies

Reference 41

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no resolver link, observed 2026-08-06T16:15:51.459797Z

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source=pdf_text observed=2026-08-06T16:15:51.459797Z digest=sha256:e9af7b54d1f7501d0bad416e593005493460c690cae5fc4ba3717864a6da7ab0

Observation b5296704-6541-4fe2-a79a-b2b3b10e8dfb · inbound

Non-Local Conserved Currents and Continuous Non-Invertible Symmetries cites this paper.

Non-Local Conserved Currents and Continuous Non-Invertible Symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 11

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no resolver link, observed 2026-08-06T11:19:49.132322Z

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source=pdf_text observed=2026-08-06T11:19:49.132322Z digest=sha256:54c4e40ebc1bad3596e628d884d1db11413bc30f793713c8e750e9acd1700019

Observation dfbb92b5-d1c7-4f54-a247-627d1118ac99 · inbound

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization cites this paper.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Topological Defects on the Lattice: Dualities and Degeneracies

Reference 56

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no resolver link, observed 2026-08-15T17:43:42.173405Z

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source=pdf_text observed=2026-08-15T17:43:42.173405Z digest=sha256:fe8e7b6345395892a50a44796baa5d72bd2bea73e0ddd7ad1bd167bd98804c14

Observation d4ad097e-5723-4191-9f9d-31180258be1b · inbound

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability cites this paper.

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability Topological Defects on the Lattice: Dualities and Degeneracies

Reference 14

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no resolver link, observed 2026-08-05T12:17:14.814379Z

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source=pdf_text observed=2026-08-05T12:17:14.814379Z digest=sha256:51e30331d86628b402d5598a84d0c564850ede472ec11e11becf8f907bf89aae

Observation 7110602f-0a7c-4d78-a063-e46af743a51f · inbound

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs cites this paper.

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs Topological Defects on the Lattice: Dualities and Degeneracies

Reference 3

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no resolver link, observed 2026-08-05T10:21:55.354905Z

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source=pdf_text observed=2026-08-05T10:21:55.354905Z digest=sha256:eb3fb755abb509ddf89df089093f54c52422c7badc4a2a8c0d9c0081085e8088

Observation 7550b6e5-ae68-4e45-aba8-90df4eef51bd · inbound

A systematic search for conformal field theories in very small spaces cites this paper.

A systematic search for conformal field theories in very small spaces Topological Defects on the Lattice: Dualities and Degeneracies

Reference 32

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no resolver link, observed 2026-08-05T06:01:52.142154Z

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source=pdf_text observed=2026-08-05T06:01:52.142154Z digest=sha256:ff5ba7f303685803a5a1794fb6140ebe2ee53041cece23117f2e026d400bbf2d

Observation b2d6445e-b075-4fb7-a811-aa904ea13cfb · inbound

From gauging to duality in one-dimensional quantum lattice models cites this paper.

From gauging to duality in one-dimensional quantum lattice models Topological Defects on the Lattice: Dualities and Degeneracies

Reference 1

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verified exact
arxiv_id, observed 2026-05-18T13:16:24.273849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-18T13:15:07.797610Z digest=sha256:60a1b8567c4326333c0a02295d1d9828354a9411242313edcd9f1c818a3b612b

Observation 56e93732-6cd1-48c6-bdf1-5c3754254388 · inbound

Perfect Particle Transmission through Duality Defects cites this paper.

Perfect Particle Transmission through Duality Defects Topological Defects on the Lattice: Dualities and Degeneracies

Reference 13

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no resolver link, observed 2026-08-04T07:14:45.792898Z

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source=pdf_text observed=2026-08-04T07:14:45.792898Z digest=sha256:3cb14596545740fe04a92a5fa1bf335b9314ac15cc900a2e57e69b38b2d342cb

Observation b55a2f35-3c2d-483d-865f-722e0995ab10 · inbound

Classical shadows for sample-efficient measurements of gauge-invariant observables cites this paper.

Classical shadows for sample-efficient measurements of gauge-invariant observables Topological Defects on the Lattice: Dualities and Degeneracies

Reference 103

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no resolver link, observed 2026-08-04T00:25:36.927385Z

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source=pdf_text observed=2026-08-04T00:25:36.927385Z digest=sha256:721b6261ca0863666b5dd5915f834c246242029e7d835874707c98b645139eaf

Observation 82460a68-5304-43f4-9ee9-661323b8966a · inbound

Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain cites this paper.

Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain Topological Defects on the Lattice: Dualities and Degeneracies

Reference 45

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unresolved
no resolver link, observed 2026-08-03T23:57:09.881934Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:57:09.881934Z digest=sha256:eebc05112569f9da6cbfcc2b5d73d1f7fc24e8bda44cae1f9aefca022817aae7

Observation 99d04d02-475b-414f-8ac7-fafb633fdebb · inbound

Matrix-product state skeletons in Onsager-integrable quantum chains cites this paper.

Matrix-product state skeletons in Onsager-integrable quantum chains Topological Defects on the Lattice: Dualities and Degeneracies

Reference 62

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no resolver link, observed 2026-08-03T23:15:56.235207Z

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source=pdf_text observed=2026-08-03T23:15:56.235207Z digest=sha256:08c6451bceaf3abcf1b107040fb8eaece53ee9e95826956dc0a9085847a6b2e7

Observation 36ca9733-bb4c-4532-8f9a-2973083d85fd · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Topological Defects on the Lattice: Dualities and Degeneracies

Reference 136

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no resolver link, observed 2026-08-03T13:35:46.917027Z

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source=arxiv_source observed=2026-08-03T13:35:46.917027Z digest=sha256:8a648f84eec27147a096e6dbab5ab984774fe891b24986731030b624c99447b3

Observation 501e03af-27db-4b2d-85ad-a058a971d2b5 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Topological Defects on the Lattice: Dualities and Degeneracies

Reference 127

Resolution
metadata mismatch
arxiv_id, observed 2026-05-16T03:27:13.269368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:2ba33080040e330e1aed2e54015da23eb6fe2168861e228d216f3a29b70c3139

Observation d367441d-e0c3-4257-8c89-5a496713d282 · inbound

Matrix-product operator dualities in integrable lattice models cites this paper.

Matrix-product operator dualities in integrable lattice models Topological Defects on the Lattice: Dualities and Degeneracies

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T22:19:28.063534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:19:28.063534Z digest=sha256:867c535b320278031866086009bd93767b002b23ebde9fc467800311bbd97f5b

Observation 08c24601-7b65-42e2-a168-b30ee10a7f9b · inbound

Symmetry breaking phases and transitions in an Ising fusion category lattice model cites this paper.

Symmetry breaking phases and transitions in an Ising fusion category lattice model Topological Defects on the Lattice: Dualities and Degeneracies

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:06:03.221443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-09T23:36:58.037026Z digest=sha256:710db91a437f61bc67a3232f0195f8835ea8cbd2c165386a268c9dda808df4cd

Observation f787b738-f9ad-481a-9352-9a7f12c425b9 · inbound

Lattice Topological Defects in Non-Unitary Conformal Field Theories cites this paper.

Lattice Topological Defects in Non-Unitary Conformal Field Theories Topological Defects on the Lattice: Dualities and Degeneracies

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:17.324607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-07T15:41:35.819373Z digest=sha256:c08daededde72dc72df6bddc1c4651d285702be6174ce115d02f33a4ab0119d1

Observation a2e30058-ee24-4604-941d-c4698db3e577 · inbound

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions cites this paper.

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-14T20:37:58.407895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-14T20:37:24.809017Z digest=sha256:0088ddc1925ac5378a2db098a2a77c5d9869f2e0876987e8e58a35da273123c4

Observation ece9edf7-bc1e-4b18-8de4-dc9a28659f17 · inbound

Invertible Symmetry and Spontaneous Duality Breaking in the Transverse-Field Ising Model cites this paper.

Invertible Symmetry and Spontaneous Duality Breaking in the Transverse-Field Ising Model Topological Defects on the Lattice: Dualities and Degeneracies

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-14T20:07:53.635753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-14T20:05:36.332655Z digest=sha256:efd29a435f56b747cc7f8d89b28cb67eb2dbeb493fe97b654666d405c1569d43

Observation 827f8fda-74b4-47c8-b510-b3eaf3b9739f · inbound

A Twist on Scattering from Defect Anomalies cites this paper.

A Twist on Scattering from Defect Anomalies Topological Defects on the Lattice: Dualities and Degeneracies

Reference 52

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:38:34.108189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-15T02:38:14.831544Z digest=sha256:89d72a3bb65a0f392b970fbdd1dd78b70d9b9afb911512e0122b513be511c1e8

Observation 8fca0956-4491-43b4-a76e-75bcff0fa752 · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Topological Defects on the Lattice: Dualities and Degeneracies

Reference 69

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:53:33.756926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:0622b6d474ec01ce55b073662432520f17ca151ac7a8b9ae0b4c20c014f339be

Observation f47dd22d-8c6c-4a2c-91ec-523e70f4adc7 · inbound

Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces cites this paper.

Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces Topological Defects on the Lattice: Dualities and Degeneracies

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-21T03:39:29.518292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-21T03:37:44.596368Z digest=sha256:8f7f661d353c94b920e73d775c1d91f11b75d29adf70869ab254ac9d2b8cad4c

Observation 080a3863-371b-4c54-a9c5-acc9264cd9af · inbound

A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms cites this paper.

A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms Topological Defects on the Lattice: Dualities and Degeneracies

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-25T03:50:19.655377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-25T03:46:44.908088Z digest=sha256:bf4cd16ec2914bc3439fbd640bf70254e97c04582471251bc118431964d7b2f8

Observation 79eb6ec6-325d-4701-adbe-16eddbcb7884 · inbound

Algebras of order parameters in one-dimensional spin systems cites this paper.

Algebras of order parameters in one-dimensional spin systems Topological Defects on the Lattice: Dualities and Degeneracies

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T16:25:49.597267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-07-01T16:24:07.943937Z digest=sha256:f416f5ca5fbf83546325fd5e624a5c2f99813ea11b4e7f9a2f194adae2fda2d9

Observation 37985255-ba26-4708-a911-ec3d4935a21d · inbound

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions cites this paper.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:55:48.909654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:87320a91c1ffa4e95e6b5966e611d8746d9dc032e1c4ed50b52b86b5b8244caa

Observation 98a514db-acfa-436b-a712-9e6420787152 · inbound

Hidden Ising models from the generalized Yang-Baxter equation cites this paper.

Hidden Ising models from the generalized Yang-Baxter equation Topological Defects on the Lattice: Dualities and Degeneracies

Reference 65

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T19:06:03.436723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-29T00:33:02.887567Z digest=sha256:808a4dbe12d38c8432e85bab3496ee59b439f7a53e97644c74f38514dda8a88a

Observation 15c0193f-92a0-43d4-9351-33cc676a3246 · inbound

Fracton Topological Holography cites this paper.

Fracton Topological Holography Topological Defects on the Lattice: Dualities and Degeneracies

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-07-02T03:16:34.158699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-28T10:12:23.439370Z digest=sha256:1146e1af3307db9b76f8012c495f3c4ed202801b3c9fca0acbe34c742b911329

Observation fd0fbe48-0677-480d-93bc-c474de61b1fa · inbound

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking cites this paper.

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking Topological Defects on the Lattice: Dualities and Degeneracies

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-07-02T15:47:06.515730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-27T23:27:15.876739Z digest=sha256:13209a2999c568c2d98d149ddcdfc2fdf76e47d4f1bb3013eeef1dfba8fbc8b2

Observation 4aa1fdff-93b1-4062-81de-9a4a43745d7a · inbound

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics cites this paper.

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Topological Defects on the Lattice: Dualities and Degeneracies

Reference 22

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T12:58:08.394380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-27T08:37:53.035253Z digest=sha256:44d13c8f8e95f9225de55a6d61c1ea7364d09dd08ba13057f5d60f682bac2c06

Observation 813c2c7c-d185-498d-884b-d9c594007a24 · inbound

ASEP/DSSYK duality and strange correlator cites this paper.

ASEP/DSSYK duality and strange correlator Topological Defects on the Lattice: Dualities and Degeneracies

Reference 23

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T01:39:24.823593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-26T20:16:24.503564Z digest=sha256:48474295b5402bf8970ef37e759f47a16c4bc8b30afadc4d3e9014234a64a89b

Observation bcceeae6-47d2-4a05-991c-8e355dd98bc7 · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Topological Defects on the Lattice: Dualities and Degeneracies

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:40:08.436724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-25T19:48:40.608059Z digest=sha256:e6e8dcd1249a8681f97e6190d996005dcda8b867684063e5e6051f03b25aa95d

Observation 90d06167-d9d7-40e5-9715-7a13e248c61f · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Topological Defects on the Lattice: Dualities and Degeneracies

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T10:15:03.269047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:15:03.269047Z digest=sha256:3dc47d555004cde127a28f712a14b628c3461f28fcc0be8b53d10212821ba73c

Observation 72cbecab-bf5b-4551-a358-96cd8dc50611 · inbound

Non-invertible symmetries and modular invariance in lattice models cites this paper.

Non-invertible symmetries and modular invariance in lattice models Topological Defects on the Lattice: Dualities and Degeneracies

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:55:42.945050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T03:36:17.756335Z digest=sha256:05f423ae44f6790a08da63576c3ceefa2ce5630abc4ed3d8218d190178ca9caf

Observation 22b48f77-0ec0-44d6-b437-57fb5e4bfbed · inbound

Physical reduced states and continuum characters of the lattice Kramers-Wannier defect cites this paper.

Physical reduced states and continuum characters of the lattice Kramers-Wannier defect Topological Defects on the Lattice: Dualities and Degeneracies

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:46:54.721416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-02T11:45:37.017045Z digest=sha256:95890b93807342a4a0c1c88873d61f56d196996ff0cb3ddc23f1366498c1ba50

Observation eba4fc38-ba40-4f11-a886-b0045b8ce509 · inbound

Entanglement fingerprint of a non-invertible symmetry: exact Fibonacci cut charges on the lattice cites this paper.

Entanglement fingerprint of a non-invertible symmetry: exact Fibonacci cut charges on the lattice Topological Defects on the Lattice: Dualities and Degeneracies

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:46:54.777261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-02T11:42:39.059165Z digest=sha256:998664f1d3dcf3214d74c0b495142e6bafa8828963a77a24781b88d11a1cf0c9

Observation 78abead2-cf55-4d73-9d0f-b270b35fc888 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-07-10T18:07:31.523392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-10T18:07:24.355218Z digest=sha256:bdeef6424d79ab8681b1957e491fb4045635080cf493d4f8e2e25a5337d6823e

Observation 1d71f0ac-fa9a-46f3-9cc8-8fa7fe2d6967 · inbound

Entanglement asymmetry and quantum Mpemba effect for Kramers-Wannier duality cites this paper.

Entanglement asymmetry and quantum Mpemba effect for Kramers-Wannier duality Topological Defects on the Lattice: Dualities and Degeneracies

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:41.316198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:41.316198Z digest=sha256:d75354b55e09ac718d3e531550e8fbf6b709f5817aa60da147be62c58d133178

Observation bf4cd448-c6e4-4c04-ae6d-0ba9314c1e82 · inbound

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations cites this paper.

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Topological Defects on the Lattice: Dualities and Degeneracies

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T06:57:46.634527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:57:46.634527Z digest=sha256:232a300e829e3ef030d84c9e3babd077a7df3324963b035b24b791fdf2389378

Observation 895948cf-cd33-4ed4-bea9-784085e66764 · 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 Topological Defects on the Lattice: Dualities and Degeneracies

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-31T20:29:53.951442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T20:29:53.951442Z digest=sha256:b2359dea1587b8575140b49aa439d9e521e1377bdb345322eec6cf8dfd6c8628

Observation 4b148352-1a8c-4a42-86ce-c8a1181f7337 · inbound

Anyon Condensation In Symmetry-Enriched Topological Phases: $G$-Grading of Multifusion Categories cites this paper.

Anyon Condensation In Symmetry-Enriched Topological Phases: $G$-Grading of Multifusion Categories Topological Defects on the Lattice: Dualities and Degeneracies

Reference 53

Resolution
unresolved
no resolver link, observed 2026-07-31T06:25:35.797118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T06:25:35.797118Z digest=sha256:cb36e2f1203d2d17a10e04f97e4ecb00687350aa69e35933232f8622d925ac27

Observation 3f5def4f-8861-4e6a-a721-bbdc91bc96ee · inbound

Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions cites this paper.

Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 256

Resolution
unresolved
no resolver link, observed 2026-08-14T04:45:38.559590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:45:38.559590Z digest=sha256:8b0244bbfd76a172e61207e7580e8a2acecef42ba48881848cc388abd989e061

Observation 784434c7-be57-4e2e-bbfe-1bb2b2962964 · inbound

State preparation via measurement and feedback: pushing relations, state structures, and non-invertible symmetries cites this paper.

State preparation via measurement and feedback: pushing relations, state structures, and non-invertible symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-14T04:35:59.850338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:35:59.850338Z digest=sha256:da70e5ee8a002b61e69ec1e608d45305b4a99f8c801e7c6e96a27971e91f6bad