Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.143277Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T18:07:31.522229Z
0 of 0 outbound references displayed
External citation measurements
No source-named external measurement is stored.
No outbound reference observations are available for this paper version.
Observation a7eeaa0b-c640-4447-8da0-74fcc9b0f2b0 · inbound
Non-Invertible Duality Defects in 3+1 Dimensions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 45
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.
Observation a9656c27-7c10-4d21-a972-92a1b8c56e5d · inbound
Higher Gauging and Non-invertible Condensation Defects Topological Defects on the Lattice: Dualities and Degeneracies
Reference 25
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.
Observation 491fd603-7e99-4c50-b78e-8f0fbaaa0f33 · inbound
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond Topological Defects on the Lattice: Dualities and Degeneracies
Reference 124
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.
Observation d8b314f8-459a-4919-914a-cd3c64306f19 · inbound
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 26
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.
Observation 39e746e9-d00c-46d1-b2f7-ccf29f0934d0 · inbound
Lattice Models for Phases and Transitions with Non-Invertible Symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 65
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.
Observation 0b138409-2724-4aa5-a239-b29086a07e51 · inbound
Self-$G$-ality in 1+1 dimensions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 32
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.
Observation 0d325a6a-dc7d-44b3-9189-4e3322331073 · inbound
Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Topological Defects on the Lattice: Dualities and Degeneracies
Reference 30
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.
Observation 3b493b55-01c6-4478-8da3-bf828da401f8 · inbound
Disentangling critical quantum spin chains with Clifford circuits Topological Defects on the Lattice: Dualities and Degeneracies
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c7b6ca4-1f78-43d0-a9e8-ccf1cd0f9e25 · inbound
Noninvertible Symmetry-Enriched Quantum Critical Point Topological Defects on the Lattice: Dualities and Degeneracies
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 457ce995-33d1-4438-8135-77c8956da8e2 · inbound
A minimal tensor network beyond free fermions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3df0d2b-9d7a-4eb4-94bf-633407f475c3 · inbound
The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes Topological Defects on the Lattice: Dualities and Degeneracies
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b930b1e9-aa1e-4d29-8a70-908106612e22 · inbound
Simplex tensor network renormalization group for boundary theory of 3+1D symTFT Topological Defects on the Lattice: Dualities and Degeneracies
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5e78484-ff62-4914-a5ff-485ad04407f4 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d19e4c5d-5b77-4af8-b848-81ea60a17dba · inbound
Selection rules for RG flows of minimal models Topological Defects on the Lattice: Dualities and Degeneracies
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5271f3c8-17b1-4afb-b4ce-564dc6f2163f · inbound
Variational Quantum Simulation of Anyonic Chains Topological Defects on the Lattice: Dualities and Degeneracies
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c150233-defb-4fd8-b6ab-661bdb7e41d0 · inbound
Minimal Models RG flows: non-invertible symmetries & non-perturbative description Topological Defects on the Lattice: Dualities and Degeneracies
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9012443c-dde9-4739-9a5b-115b18a4d04a · inbound
SymSETs and self-dualities under gauging non-invertible symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9537ba2-a70f-4ea3-81cb-69382c67d73c · inbound
Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories Topological Defects on the Lattice: Dualities and Degeneracies
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a537573c-5780-47f7-a61b-9753432fe386 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18892ead-c66b-4945-ad5f-aef809dec7f8 · inbound
2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5470eca8-5a8f-418d-a97c-fee3bf2b5941 · inbound
Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Topological Defects on the Lattice: Dualities and Degeneracies
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42617849-019f-4e1b-95dc-ba7db6a15d24 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 453a98ec-4d94-4ff6-8a95-c63d518fe6b7 · inbound
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
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.
Observation 2a28f665-5bdc-47b5-935a-fe4f2c7b5517 · inbound
Irrational CFTs from coupled anyon chains with non-invertible symmetries? Topological Defects on the Lattice: Dualities and Degeneracies
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5296704-6541-4fe2-a79a-b2b3b10e8dfb · inbound
Non-Local Conserved Currents and Continuous Non-Invertible Symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dfbb92b5-d1c7-4f54-a247-627d1118ac99 · inbound
Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Topological Defects on the Lattice: Dualities and Degeneracies
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4ad097e-5723-4191-9f9d-31180258be1b · inbound
Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability Topological Defects on the Lattice: Dualities and Degeneracies
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7110602f-0a7c-4d78-a063-e46af743a51f · inbound
Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs Topological Defects on the Lattice: Dualities and Degeneracies
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7550b6e5-ae68-4e45-aba8-90df4eef51bd · inbound
A systematic search for conformal field theories in very small spaces Topological Defects on the Lattice: Dualities and Degeneracies
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2d6445e-b075-4fb7-a811-aa904ea13cfb · inbound
From gauging to duality in one-dimensional quantum lattice models Topological Defects on the Lattice: Dualities and Degeneracies
Reference 1
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.
Observation 56e93732-6cd1-48c6-bdf1-5c3754254388 · inbound
Perfect Particle Transmission through Duality Defects Topological Defects on the Lattice: Dualities and Degeneracies
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b55a2f35-3c2d-483d-865f-722e0995ab10 · inbound
Classical shadows for sample-efficient measurements of gauge-invariant observables Topological Defects on the Lattice: Dualities and Degeneracies
Reference 103
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82460a68-5304-43f4-9ee9-661323b8966a · inbound
Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain Topological Defects on the Lattice: Dualities and Degeneracies
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99d04d02-475b-414f-8ac7-fafb633fdebb · inbound
Matrix-product state skeletons in Onsager-integrable quantum chains Topological Defects on the Lattice: Dualities and Degeneracies
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36ca9733-bb4c-4532-8f9a-2973083d85fd · inbound
Les Houches Lecture Notes on Tensor Networks Topological Defects on the Lattice: Dualities and Degeneracies
Reference 136
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 501e03af-27db-4b2d-85ad-a058a971d2b5 · inbound
Symmetry Spans and Enforced Gaplessness Topological Defects on the Lattice: Dualities and Degeneracies
Reference 127
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.
Observation d367441d-e0c3-4257-8c89-5a496713d282 · inbound
Matrix-product operator dualities in integrable lattice models Topological Defects on the Lattice: Dualities and Degeneracies
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08c24601-7b65-42e2-a168-b30ee10a7f9b · inbound
Symmetry breaking phases and transitions in an Ising fusion category lattice model Topological Defects on the Lattice: Dualities and Degeneracies
Reference 44
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.
Observation f787b738-f9ad-481a-9352-9a7f12c425b9 · inbound
Lattice Topological Defects in Non-Unitary Conformal Field Theories Topological Defects on the Lattice: Dualities and Degeneracies
Reference 12
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.
Observation a2e30058-ee24-4604-941d-c4698db3e577 · inbound
Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 33
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.
Observation ece9edf7-bc1e-4b18-8de4-dc9a28659f17 · inbound
Invertible Symmetry and Spontaneous Duality Breaking in the Transverse-Field Ising Model Topological Defects on the Lattice: Dualities and Degeneracies
Reference 9
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.
Observation 827f8fda-74b4-47c8-b510-b3eaf3b9739f · inbound
A Twist on Scattering from Defect Anomalies Topological Defects on the Lattice: Dualities and Degeneracies
Reference 52
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.
Observation 8fca0956-4491-43b4-a76e-75bcff0fa752 · inbound
Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Topological Defects on the Lattice: Dualities and Degeneracies
Reference 69
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.
Observation f47dd22d-8c6c-4a2c-91ec-523e70f4adc7 · inbound
Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces Topological Defects on the Lattice: Dualities and Degeneracies
Reference 6
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.
Observation 080a3863-371b-4c54-a9c5-acc9264cd9af · inbound
A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms Topological Defects on the Lattice: Dualities and Degeneracies
Reference 26
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.
Observation 79eb6ec6-325d-4701-adbe-16eddbcb7884 · inbound
Algebras of order parameters in one-dimensional spin systems Topological Defects on the Lattice: Dualities and Degeneracies
Reference 3
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.
Observation 37985255-ba26-4708-a911-ec3d4935a21d · inbound
Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 18
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.
Observation 98a514db-acfa-436b-a712-9e6420787152 · inbound
Hidden Ising models from the generalized Yang-Baxter equation Topological Defects on the Lattice: Dualities and Degeneracies
Reference 65
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.
Observation 15c0193f-92a0-43d4-9351-33cc676a3246 · inbound
Fracton Topological Holography Topological Defects on the Lattice: Dualities and Degeneracies
Reference 74
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.
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 Topological Defects on the Lattice: Dualities and Degeneracies
Reference 77
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.
Observation 4aa1fdff-93b1-4062-81de-9a4a43745d7a · inbound
Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Topological Defects on the Lattice: Dualities and Degeneracies
Reference 22
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.
Observation 813c2c7c-d185-498d-884b-d9c594007a24 · inbound
ASEP/DSSYK duality and strange correlator Topological Defects on the Lattice: Dualities and Degeneracies
Reference 23
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.
Observation bcceeae6-47d2-4a05-991c-8e355dd98bc7 · inbound
Lattice non-invertible symmetry from non-commuting transfer matrices Topological Defects on the Lattice: Dualities and Degeneracies
Reference 14
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.
Observation 90d06167-d9d7-40e5-9715-7a13e248c61f · inbound
Lattice non-invertible symmetry from non-commuting transfer matrices Topological Defects on the Lattice: Dualities and Degeneracies
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72cbecab-bf5b-4551-a358-96cd8dc50611 · inbound
Non-invertible symmetries and modular invariance in lattice models Topological Defects on the Lattice: Dualities and Degeneracies
Reference 10
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.
Observation 22b48f77-0ec0-44d6-b437-57fb5e4bfbed · inbound
Physical reduced states and continuum characters of the lattice Kramers-Wannier defect Topological Defects on the Lattice: Dualities and Degeneracies
Reference 2
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.
Observation eba4fc38-ba40-4f11-a886-b0045b8ce509 · inbound
Entanglement fingerprint of a non-invertible symmetry: exact Fibonacci cut charges on the lattice Topological Defects on the Lattice: Dualities and Degeneracies
Reference 17
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.
Observation 78abead2-cf55-4d73-9d0f-b270b35fc888 · inbound
Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging Topological Defects on the Lattice: Dualities and Degeneracies
Reference 30
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.
Observation 1d71f0ac-fa9a-46f3-9cc8-8fa7fe2d6967 · inbound
Entanglement asymmetry and quantum Mpemba effect for Kramers-Wannier duality Topological Defects on the Lattice: Dualities and Degeneracies
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf4cd448-c6e4-4c04-ae6d-0ba9314c1e82 · inbound
Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Topological Defects on the Lattice: Dualities and Degeneracies
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 895948cf-cd33-4ed4-bea9-784085e66764 · inbound
Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals Topological Defects on the Lattice: Dualities and Degeneracies
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b148352-1a8c-4a42-86ce-c8a1181f7337 · inbound
Anyon Condensation In Symmetry-Enriched Topological Phases: $G$-Grading of Multifusion Categories Topological Defects on the Lattice: Dualities and Degeneracies
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f5def4f-8861-4e6a-a721-bbdc91bc96ee · inbound
Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions Topological Defects on the Lattice: Dualities and Degeneracies
Reference 256
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 784434c7-be57-4e2e-bbfe-1bb2b2962964 · inbound
State preparation via measurement and feedback: pushing relations, state structures, and non-invertible symmetries Topological Defects on the Lattice: Dualities and Degeneracies
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.