Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T06:13:34.695316Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2607.13138.
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, observed 2026-08-02T06:13:34.695316Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
75 of 75 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 135e6c79-6aea-4051-ad6e-934c7161668f · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
Reference 1
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Unavailable: canonical work link unavailable.
Observation c5a01838-c2b5-4938-bcf4-450c21049b70 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Petkova and J.-B
Reference 2
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Observation 51c6d7da-5ab2-4153-b545-8f9722b5ffe9 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Chang and Y.-H
Reference 3
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Observation 1d5fe278-3768-47c5-af89-294ae763509c · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 4
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Observation 6629c343-29d3-4497-ab71-78d0c860cbf9 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice An introduction to decomposition
Reference 5
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Observation 4d13ca2d-acc9-4b28-a52f-ed7b19ea1080 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Gukov and E
Reference 6
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Observation 0326b91e-e358-4eaf-9b7e-6127b3529937 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Rigid Surface Operators
Reference 7
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Observation baecbbd4-8c48-4233-8939-d8fb47f75d23 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Wen, Phys
Reference 8
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Observation 28a27ce3-6b05-4a93-b9ff-f750836e1c4b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Rudelius and S.-H
Reference 9
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Observation 2842371a-eb9b-4fb2-ab62-16891f610f46 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Nguyen, Y
Reference 10
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Observation a9e7eff5-73b6-4c7c-92d0-b196639e93e3 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Heidenreich, J
Reference 11
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Observation 6dae22f1-8d65-4853-b08e-9066eb52f155 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Kaidi, Z
Reference 12
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Observation 47dbe87b-fd58-4bc9-b988-6db3c469085f · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Antinucci, G
Reference 13
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Observation a4057bda-c902-42fb-b1f7-88c073b03923 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Gauge Enhanced Quantum Criticality Between Grand Unifications: Categorical Higher Symmetry Retraction
Reference 14
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Observation 5ca6bc03-e5f6-495d-8858-4499c89a5f4d · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice C´ ordova, K
Reference 15
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Observation eb32e858-c4b7-4efd-b62c-23c28d2fd725 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Arias-Tamargo and D
Reference 16
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Observation ef4de33f-95b5-4972-8c5e-08e18e554177 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction
Reference 17
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Observation 76f1c299-ba9f-4c2f-982d-b4d55bab9d30 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Benini, C
Reference 18
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Observation 6e99b170-8e6b-41db-abbc-6123b51e9811 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice McGreevy, Annual Review of Condensed Matter Physics14, 57–82 (2023)
Reference 19
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Observation dc7663a1-37bc-450f-97ac-082033c22934 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Reference 20
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Observation 3b580647-0cfa-4e5e-b5c8-2648821486bb · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Fuchs, C
Reference 21
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Observation f5258d21-e1fa-4747-afe2-50d5af24d067 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 22
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Observation 508f6776-3c95-49c9-9c9b-dc52b32a3795 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Carqueville, I
Reference 23
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Unavailable: canonical work link unavailable.
Observation 3c98c39d-afc5-44c4-9a10-7ad2b2a1ac9f · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Non-invertible topological defects in 4-dimensional $\mathbb{Z}_2$ pure lattice gauge theory
Reference 24
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Observation 83cf8a69-5b9a-47b8-94e6-61f86ec3846b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 25
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Observation 2ab2e5be-1883-4641-b9b9-58441f3c5e66 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Kaidi, K
Reference 26
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Observation ed2774d6-556d-4a02-8519-89d35adbd38e · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 27
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Observation 18a40ad5-d452-42f8-8a51-ac1017c12b2b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 28
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Observation 29d0a940-e6ce-46be-abc6-c2cef4fae9df · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Roumpedakis, S
Reference 29
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Observation 6fe91419-8019-48dd-8c42-611102e6ac89 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 30
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Observation cfecaa47-b776-4aa4-bfe9-14fb8146b86c · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Villain, Journal de Physique36, 581 (1975)
Reference 31
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Observation 6f0604d6-6dcc-410e-9c3f-91545fabd661 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Banks, R
Reference 32
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Observation dac67b25-460e-4921-813b-bc135917282e · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 33
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Observation 45635c3d-c1f9-42a4-9ea6-ebd94f3d72ba · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Dasgupta and B
Reference 34
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Observation dcb03261-0023-4e1b-aeca-9ee6eb016eb6 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 35
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Observation b4ac9484-99c7-4ed4-9b05-fb34be2db92e · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Aharony, Journal of High Energy Physics2016, 093 (2016)
Reference 36
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Observation 85295c83-faf9-402a-aff5-89489b81a00f · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Seiberg, T
Reference 37
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Observation 50507769-65b4-4b4f-9c15-3b4b3748b9b9 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Karch and D
Reference 38
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Observation 62b8636b-b6ae-4315-b648-4f9efa76c312 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 39
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Observation f09546e9-fd83-48da-b37c-e087bdc26e73 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Kachru, M
Reference 40
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Observation 04e96451-51a6-4231-99a0-35ab9f2d67b2 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 41
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Observation 78750d85-a184-4b2a-a1d1-0f2b36b24ed0 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 42
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Observation f7cec031-3631-4caf-83dd-b87a273d07e9 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Hsin and N
Reference 43
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Observation 6013439d-2587-43d1-9513-3867edfbac7a · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Aharony, F
Reference 44
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Observation 649ab4f7-95a8-4e1b-8d3f-afdb7b028ff2 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 45
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Observation d85fd69b-ebcb-404e-8b36-a46fe34b92a2 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 46
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Observation a52f79c0-d809-4ab4-9661-3d2a4213eea2 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Huang and D.-H
Reference 47
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Observation 3a2b1ca8-1847-4339-81fa-8da7a1c70a83 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Han and J.-Y
Reference 48
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Observation 3dbdcba5-6366-4d88-ae00-cb4c8a71a1a9 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Han and J.-Y
Reference 49
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Observation b64520a9-2ae3-4531-a808-d020672fd586 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Huang and D.-H
Reference 50
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Observation 5c94f3b9-74d9-4640-b0e3-d7f76bc6ea42 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 51
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Observation c075628c-581b-4cf6-b8f0-d82223983101 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Aitken, A
Reference 52
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Observation cb8958d1-8e4c-4dfc-bc8d-7c05dcc86cd8 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 53
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Observation 3edc4df2-eeb6-4a8b-b2d7-2d3aa19b3296 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Senthil, A
Reference 54
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Observation 0148abde-cefb-4589-9877-a9cf915dc096 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Senthil, L
Reference 55
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Observation 8994de6a-c0af-4727-b2b0-e84b08c4658b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 56
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Observation d33801b2-203a-40d3-8509-c5d93b51874a · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Grover and T
Reference 57
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Observation 086093f5-55e9-4c82-8b00-be1f6e02969a · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Grover and T
Reference 58
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Observation c4510475-9b7a-41e2-90cf-0ad2f7fc1a05 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 59
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Observation 106ecacf-845a-4e10-8cc4-185c38807318 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Roberts, S
Reference 60
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Observation 494f73d3-8259-41d2-9c09-13f431cbafb8 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Senthil, D
Reference 61
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Observation fa4981ac-11a2-49ce-b7a6-f0e45eb04488 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Zhang and M
Reference 62
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Observation fa049caf-8884-4949-ba3e-84c9ec367253 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Lu, SciPost Phys
Reference 63
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Observation 37060807-a10c-4def-b5b4-8249f692e32b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 64
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Observation fd4aa2d6-d6df-4320-9c4e-ccfcf7c5ac21 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 65
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Observation 38eb15f9-36e3-4bcf-89ed-af207c5a4f0e · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 66
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Observation 4eb3ae12-0093-4cf1-9f78-24276fdcfb0d · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 67
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Observation 3c9e1453-f913-4bc6-85bb-e833f3d60299 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 68
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Observation ee296c93-5ca4-4b97-b61a-879779334d98 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Gao, Y.-T
Reference 69
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Observation e12c306e-441f-49a1-919e-649782411049 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 70
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Observation 0b347f9d-3ba1-443b-955c-28ddf893608b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 71
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Observation 0e0c7544-84bc-49ef-941e-cd19ed865f6b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice How- ever, as it couples to an integer-valued vortex current, the allowed monopole insertions carry integer units of 2πflux according to Dirac’s quantization condition
Reference 72
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Observation 090792e1-e3e5-4beb-a18d-543965481e26 · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Argurio, A
Reference 73
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Observation 77e3eb42-1e1f-47e1-ac44-02a9ffbb1aca · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Xu, International Journal of Modern Physics B26, 1230007 (2012)
Reference 74
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Observation 05bd5655-9914-41cc-b5dd-4cfcdaf54b6b · outbound
Half dualization and non-invertible particle-vortex duality defect on lattice Unresolved cited work
Reference 75
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No inbound Pith citation observations are available.