Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:06.827250Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 4 inbound Pith citation observations for arXiv:2506.07688.
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 2026-08-07T05:43:06.827250Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T09:04:47.834108Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T12:18:06.196972Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1c3a848b-afe6-426e-bae8-a00741935f75 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Time-reversal symmetric u(1) quantum spin liquids,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ef2cccd6-fa1c-4847-b0dc-065aa1e3b551 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50d8bcf4-0d51-4b14-ab25-0d7b0d6ae47a · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Intrinsically Gapless Topological Phases
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f14c676-366f-4ba1-87f5-fb64fecf0fce · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 377541c1-d3bd-411d-8843-74d6b3bc403e · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Symmetry Fractionalization, Defects, and Gauging of Topological Phases
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 973bb3e1-44bb-4b5e-8129-d0ec00d7e96b · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Theory of twist liquids: Gauging an anyonic symmetry,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 265c5ba1-a8f7-4a26-ac86-7ff45ccc8de1 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Symmetry fractionalization and twist defects,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b9ab728-730a-4a7e-8637-8699fd1254d2 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields On 2-Group Global Symmetries and Their Anomalies
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ff73009-64af-4a28-bc66-0efd59e04db8 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Generalized Charges, Part I: Invertible Symmetries and Higher Representations
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c679c0f-b667-4331-b95e-4a5a0c7175cf · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Higher representations for extended operators
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 429e9c64-1629-4e20-8717-b1f3d4fef621 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Generalized Global Symmetries
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20be530d-1137-4450-ad17-46a24ffbaf10 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Condensations in higher categories
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e1b8fe5-1daf-4f4f-aca7-1e3b6128d524 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Higher Gauging and Non-invertible Condensation Defects
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39f70455-762e-41a4-a2b0-aef327663776 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e7e185f-38ae-487c-9e47-923963b27ca1 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c179eeee-a802-42dd-9cae-d46948d10c3c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Mean string field theory: Landau-Ginzburg theory for 1-form symmetries
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4759c52e-88b0-4f71-80c8-1cdfe2107fad · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4ca3b633-25ab-45c7-9a99-b23771931a9e · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ee3c593-f1ea-4941-8142-67eab048c08d · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c14ad0b-b576-499e-b27b-d237b4aa57c7 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Berry Phase in Quantum Field Theory: Diabolical Points and Boundary Phenomena
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed130282-9c0b-426c-a316-c291977acece · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83ef0fc0-1eee-435a-b01a-2872ae8d206d · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Lattice models that realize $\mathbb{Z}_n$-1-symmetry protected topological states for even $n$
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42e83932-2054-40f8-96fc-3c410edfa477 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes,
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e6711e8-4d41-4eef-98f8-5fcdae0d3837 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Gauge theories and magnetic charge,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a4d6e89-137c-47fa-ac16-8e83a235418c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Discrete Theta Angles, Symmetries and Anomalies
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a5fa375-a9e4-4cdc-916b-2823406b5d5c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d1aecf2-02b8-4d7d-88cb-557979560f19 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Line Operators of Gauge Theories on Non-Spin Manifolds
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebf7f5d0-ec8d-4d89-a133-549462faff19 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Framed Wilson Operators, Fermionic Strings, and Gravitational Anomaly in 4d
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1aeeaee-8d9d-4fc5-9b86-b8fa29e2e9bc · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Gravitational anomaly of 3+1 dimensional Z_2 toric code with fermionic charges and fermionic loop self-statistics
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 810b35bc-930c-4188-905a-bccc979c52a6 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3537517-b5a6-49c5-84a9-5b1ba144ad1b · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Generalized Statistics on Lattice,
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca0688c7-7cf2-44b0-96ac-d82120eff220 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Lorentz Symmetry Fractionalization and Dualities in (2+1)d
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08c53719-4427-4be4-afdd-83cecfca44ed · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Radiative corrections as the origin of spontaneous symmetry breaking,
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cf94b0d-7859-4c53-bb38-1389e0776e7c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Deconfined quantum critical points,
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15196a47-e4bf-485e-aca5-9bf8ac12d501 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Exactly solvable model for a deconfined quantum critical point in 1d,
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0865c22e-f20a-43b0-af87-602b04099b67 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Deconfined quantum critical points: a review
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df6bc924-4bab-44c5-a61d-16511422a078 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Dyons of Charge e theta/2 pi,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f526b5e8-35e7-43b5-afbb-147fcb0946ac · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Reading between the lines of four-dimensional gauge theories
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56a7735e-9a12-44c1-9aa4-caeb569fefc2 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Higher-group symmetry in finite gauge theory and stabilizer codes
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99455be0-44ec-4d33-942c-f56c020a90eb · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Spectral asymmetry and Riemannian Geometry 1,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f330a985-8112-48ca-9b9b-8c4d00124aac · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Fermion Path Integrals And Topological Phases
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7817c974-e826-4cfc-9b83-cf705d65b28c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Theta, Time Reversal, and Temperature
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f2bc9b2-bcf4-4a3a-bd4e-cde8c3cd6443 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Milnor, J
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ba9b451-e3ab-43a4-ade4-b71ec0caa4ab · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Kramers-Wannier-like duality defects in (3+1)d gauge theories
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3e3d22d-c031-461f-ae43-f10db8b52556 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Exotic Invertible Phases with Higher-Group Symmetries
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b4158d1-500b-4093-a965-8b21676053b1 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d85e298-b309-4f64-b018-b5aaba420b64 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields ICTP Lectures on (Non-)Invertible Generalized Symmetries
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86581c00-eb53-42d2-ac00-991796f7250c · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Higgsing Transitions from Topological Field Theory & Non-Invertible Symmetry in Chern-Simons Matter Theories
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ca1dd4b-5f00-44b2-9c10-184544c2c8f8 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Non-Invertible Defects in Nonlinear Sigma Models and Coupling to Topological Orders
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e79121c9-99fb-4e39-b3bf-802e9fdb2125 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e460b35a-e3a2-4473-919f-536f9f2a3907 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dcc23c1-578d-44bb-b33a-618982864082 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Emergent generalized symmetries in ordered phases and applications to quantum disordering
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1de9e3ef-fb01-41c8-92d8-f48c97f50597 · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Generalized symmetries in singularity-free nonlinear $\sigma$ models and their disordered phases
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 123bf37f-b1c5-4873-9181-013db7a1af0b · outbound
Generalized Symmetries Phase Transitions with Local Quantum Fields Emergent Non-Invertible Symmetries Bridging UV and IR Phases -- The Adjoint QCD Example
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 56a9b7fc-7b24-44d0-b928-462e46d458e9 · inbound
Gauging in superconductors and other electronic systems Generalized Symmetries Phase Transitions with Local Quantum Fields
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 238d3a29-aea1-4178-870f-a8ceb296920f · inbound
Bockstein braiding statistics Generalized Symmetries Phase Transitions with Local Quantum Fields
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6d2e903e-05b0-48ad-a0cf-ebd331e90217 · inbound
Bockstein braiding statistics Generalized Symmetries Phase Transitions with Local Quantum Fields
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76ca161f-6cdc-4bfd-8d74-7bce42c5f768 · inbound
Bockstein braiding statistics Generalized Symmetries Phase Transitions with Local Quantum Fields
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.