Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-07T10:16:03.883006Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 2 inbound Pith citation observations for arXiv:2604.27363.
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 2026-05-07T10:16:03.883006Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:20:47.079306Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T13:08:07.763573Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ea5d49e9-9bca-4c8b-99d4-66048521e3cf · outbound
Constructing Bulk Topological Orders via Layered Gauging Apply a gauging map to each local operatorOso that the result- ing operatorO ′ commutes with all gauge symmetry generatorsS v(g)
Reference 1
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 a9e56825-eef0-4a59-a572-490306cb8b67 · outbound
Constructing Bulk Topological Orders via Layered Gauging These new terms commute with all existing terms and with the gauge trans- formationsS v(g)
Reference 2
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 10a8f973-85f0-4d00-adee-83e92b631719 · outbound
Constructing Bulk Topological Orders via Layered Gauging In what follows, we will explicitly define the gauging map and the flux terms mentioned in the first and second steps, respectively
Reference 3
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 adf2aa66-f743-4a18-82af-756e05a3f052 · outbound
Constructing Bulk Topological Orders via Layered Gauging We have Bf({1})O′ =O ′Bf({1}) =O ′.(A9) Hence,O ′ contains projections onto trivial flux sec- tors for all loops in Γ
Reference 4
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 2f68ca20-84f5-4702-8ac7-42b6f8033a90 · outbound
Constructing Bulk Topological Orders via Layered Gauging One can check that GΓ[O1]GΓ[O2] =G Γ[O1O2].(A10)
Reference 5
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 57d2fe7f-235c-4c34-9aa5-3d53f9d31bc3 · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 6
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 76f2c293-9287-4824-8192-c90b2b1dd269 · outbound
Constructing Bulk Topological Orders via Layered Gauging When the whole lattice Λ is a 1dchain, the gauging map on local operators is unique and particularly nice
Reference 7
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 6a5495a6-06a3-4f9d-b2cc-e2f1a8afba6c · outbound
Constructing Bulk Topological Orders via Layered Gauging Chen, Essay: Generalized Landau Paradigm for Quan- tum Phases and Phase Transitions, Phys
Reference 8
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 2afdb499-39e1-4b46-a9ce-3c112e129a7b · outbound
Constructing Bulk Topological Orders via Layered Gauging Moore and N
Reference 9
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 4bbad21e-f1bb-4d71-bf03-62acd02a7bca · outbound
Constructing Bulk Topological Orders via Layered Gauging Witten, Quantum field theory and the jones polyno- mial, Communications in Mathematical Physics121, 351 (1989)
Reference 10
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 0756d5f3-d447-4db8-ba08-cec66804c574 · outbound
Constructing Bulk Topological Orders via Layered Gauging Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers
Reference 11
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 6bf649c4-42e1-40af-9829-b9eea17d2159 · outbound
Constructing Bulk Topological Orders via Layered Gauging Gapless edges of 2d topological orders and enriched monoidal categories
Reference 12
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 4617c8d5-89f7-4ef0-96c0-fed0a0211c3a · outbound
Constructing Bulk Topological Orders via Layered Gauging A mathematical theory of gapless edges of 2d topological orders. Part I
Reference 13
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 23d11d08-1abb-4ce8-a125-0e4be7fac5d1 · outbound
Constructing Bulk Topological Orders via Layered Gauging A non-abelian duality for (higher) gauge theories
Reference 14
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 f6594749-c17f-45a8-8a57-52807e638899 · outbound
Constructing Bulk Topological Orders via Layered Gauging Ji and X.-G
Reference 15
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 cf365df3-7455-417b-b47f-b374303efc1a · outbound
Constructing Bulk Topological Orders via Layered Gauging Kong and H
Reference 16
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 6166e26e-49ec-44da-91fe-ad861c5ba413 · outbound
Constructing Bulk Topological Orders via Layered Gauging Bulk Anyons as Edge Symmetries: Boundary Phase Diagrams of Topologically Ordered States
Reference 17
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 0a32c681-bf84-4782-b7f9-0637410e31ae · outbound
Constructing Bulk Topological Orders via Layered Gauging Classification of topological phases with finite internal symmetries in all dimensions
Reference 18
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 09e06b7b-b805-4f25-b29e-3c630dc847a9 · outbound
Constructing Bulk Topological Orders via Layered Gauging Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
Reference 19
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 d8b3697c-e223-49bc-8506-0706fbb8ca07 · outbound
Constructing Bulk Topological Orders via Layered Gauging Orbifold groupoids
Reference 20
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 46a12095-3531-4a33-acdd-2b6a41d26ef2 · outbound
Constructing Bulk Topological Orders via Layered Gauging $SL(2,\mathbb{Z})$ action on QFTs with $\mathbb{Z}_2$ symmetry and the Brown-Kervaire invariants
Reference 21
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 157579f9-72f2-4443-8412-81f34477488e · outbound
Constructing Bulk Topological Orders via Layered Gauging Gapped Phases with Non-Invertible Symmetries: (1+1)d
Reference 22
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 c7af0e89-0a43-40b7-be8d-5e197ef31ce1 · outbound
Constructing Bulk Topological Orders via Layered Gauging Relative Anomaly in (1+1)d Rational Conformal Field Theory
Reference 23
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 5784f4cb-4e0a-4c2c-8f94-56ce711ae8fb · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 24
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 0ff2a35f-00c9-42ae-a1cb-cd2c95401320 · outbound
Constructing Bulk Topological Orders via Layered Gauging Barrett and B
Reference 25
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 6e577b28-d5ca-4d86-a401-d9640a610014 · outbound
Constructing Bulk Topological Orders via Layered Gauging String-net condensation: A physical mechanism for topological phases
Reference 26
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 0a978cb4-1818-40ae-a439-38f673c1f321 · outbound
Constructing Bulk Topological Orders via Layered Gauging Dijkgraaf and E
Reference 27
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 b105de1e-b728-4bc8-855e-cdfc9faf3ac6 · outbound
Constructing Bulk Topological Orders via Layered Gauging Fault-tolerant quantum computation by anyons
Reference 28
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 7778feab-16c1-4106-b385-15de270ab191 · outbound
Constructing Bulk Topological Orders via Layered Gauging Twisted Quantum Double Model of Topological Phases in Two--Dimension
Reference 29
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 26b6b3a9-907d-4a96-b18b-a4f7c43fe1b8 · outbound
Constructing Bulk Topological Orders via Layered Gauging Towards Non-Invertible Anomalies from Generalized Ising Models
Reference 30
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 70a8874e-7fc6-4735-a6df-80bcad1b0176 · outbound
Constructing Bulk Topological Orders via Layered Gauging Emergent (2+1)D topological orders from iterative (1+1)D gauging
Reference 31
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 7e418130-6e91-4470-8ed2-d65482db367e · outbound
Constructing Bulk Topological Orders via Layered Gauging Blanik and J
Reference 32
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 2b8b356d-9c49-4527-8e4a-9aa9fc4038d3 · outbound
Constructing Bulk Topological Orders via Layered Gauging Codimension-2 defects and higher symmetries in (3+1)D topological phases
Reference 33
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 6cb8d7f8-0b82-4728-b569-d55c075f8211 · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 34
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 bfcb4e0e-be7d-466f-89cb-92fa0586238a · outbound
Constructing Bulk Topological Orders via Layered Gauging Non-invertible anomalies and mapping-class-group transformation of anomalous partition functions
Reference 35
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 b656afd8-ca7c-43bf-bf3b-b27b5e730ae4 · outbound
Constructing Bulk Topological Orders via Layered Gauging As a result, the Gauss’s law becomesX v = 1 for every sitev
Reference 36
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 6ebcac0b-649c-4557-bed0-749aa6dadf06 · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 37
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 b572e61e-a6d5-428a-b58e-965755ed50d3 · outbound
Constructing Bulk Topological Orders via Layered Gauging The Physics of (good) LDPC Codes I. Gauging and dualities
Reference 38
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 131ec0ff-f568-4b0d-923f-f9b7a9c58b6d · outbound
Constructing Bulk Topological Orders via Layered Gauging A holographic view of topological stabilizer codes
Reference 39
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 7a9abd5c-99c5-487f-b6e2-b9b872c03644 · outbound
Constructing Bulk Topological Orders via Layered Gauging Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
Reference 40
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 5d8e47c2-7596-47de-8c17-8d58519e51b3 · outbound
Constructing Bulk Topological Orders via Layered Gauging Foliated fracton order from gauging subsystem symmetries
Reference 41
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 a7f3f024-a2f3-4225-bec8-7c147a70dab2 · outbound
Constructing Bulk Topological Orders via Layered Gauging Anisotropic layer construction of anisotropic fracton models
Reference 42
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 6e76b7a6-e643-496f-91e4-08bcb6bd3721 · outbound
Constructing Bulk Topological Orders via Layered Gauging Wu, M.-Y
Reference 43
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 213e977c-061c-4528-a44d-c06167b5ccdb · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 44
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 20a4f319-eaa2-4880-94d8-80471ddc013d · outbound
Constructing Bulk Topological Orders via Layered Gauging Braiding statistics approach to symmetry-protected topological phases
Reference 45
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 c958f87a-f3f8-4b26-92f7-b21c53b99240 · outbound
Constructing Bulk Topological Orders via Layered Gauging Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge
Reference 46
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 2b27a5d5-8803-4366-823b-91cffde02a4c · outbound
Constructing Bulk Topological Orders via Layered Gauging We do not have such problem here
Reference 47
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 084dd7a7-65ec-468b-aba4-9fec37b9b2d3 · outbound
Constructing Bulk Topological Orders via Layered Gauging See the proposition at the end of Appendix A
Reference 48
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 170cd01f-7cc5-4eee-8ccf-667b6a0b4a57 · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 49
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 cf8c054b-1e94-46af-89b1-94892827e352 · outbound
Constructing Bulk Topological Orders via Layered Gauging Topological quantum order: stability under local perturbations
Reference 50
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 0e62b00b-1d7f-4aa7-8a3b-8058fb8c6913 · outbound
Constructing Bulk Topological Orders via Layered Gauging Pauli stabilizer models of twisted quantum doubles
Reference 51
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 9ff6009d-a652-4ee8-9d7a-648cb4787eed · outbound
Constructing Bulk Topological Orders via Layered Gauging Higher cup products on hypercubic lattices: application to lattice models of topological phases
Reference 52
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 e1118d0e-6045-4a4e-b400-569b8ba0e665 · outbound
Constructing Bulk Topological Orders via Layered Gauging vacuum states
Reference 53
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 01d51eb7-8a38-43ce-a998-f91ca08cf798 · outbound
Constructing Bulk Topological Orders via Layered Gauging Unresolved cited work
Reference 54
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 219bfec0-8e25-472b-9556-2788ce24ad5c · outbound
Constructing Bulk Topological Orders via Layered Gauging Long-range entanglement from measuring symmetry-protected topological phases
Reference 55
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 1ad5958e-af5e-459b-a65b-d214675528e2 · outbound
Constructing Bulk Topological Orders via Layered Gauging Ashkenazi and E
Reference 56
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 3eae7175-2c39-4a84-9fb4-4418f7c1f3ce · outbound
Constructing Bulk Topological Orders via Layered Gauging Adaptive constant-depth circuits for manipulating non-abelian anyons
Reference 57
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 1739bf31-f728-4dd1-8d65-658b55d46114 · outbound
Constructing Bulk Topological Orders via Layered Gauging Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}
Reference 58
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 a2ca7e7d-f160-439b-93c3-d646862146b2 · outbound
Constructing Bulk Topological Orders via Layered Gauging Gauging quantum states: from global to local symmetries in many-body systems
Reference 59
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 0ae5b8b0-c30e-4dfa-b521-e08f56bc9102 · outbound
Constructing Bulk Topological Orders via Layered Gauging Anomaly-free symmetries with obstructions to gauging and onsiteability
Reference 60
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 32aa6557-dd8a-4d95-8aaf-c998c3195a9a · outbound
Constructing Bulk Topological Orders via Layered Gauging Anomalies of Global Symmetries on the Lattice
Reference 61
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 c00bcd1a-fddd-4c5f-81ad-905a2e12a198 · outbound
Constructing Bulk Topological Orders via Layered Gauging Anomalies on the Lattice, Homotopy of Quan- tum Cellular Automata, and a Spectrum of Invertible States
Reference 62
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 ecac2a78-b5e7-407c-b89c-ec45ddb21cd4 · inbound
Shallow Unitary Circuits for Kramers-Wannier Dualities Constructing Bulk Topological Orders via Layered Gauging
Reference 32
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 79d43b8b-54d0-4202-a676-d1141d6ee5e8 · inbound
Coupled-Layer Codes: Beyond Quantum Product Constructions Constructing Bulk Topological Orders via Layered Gauging
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.