Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 61 inbound Pith citation observations for arXiv:2106.12577.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:35.932823Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T18:07:31.563072Z
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 f84d6413-2381-4ea1-a184-31a219b78ae4 · inbound
Non-Invertible Duality Defects in 3+1 Dimensions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0db08126-f500-4c3a-b3e1-4655c7255f6b · inbound
Higher Gauging and Non-invertible Condensation Defects Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4ae24810-c19b-4b6a-a4a1-0ea1765eb187 · inbound
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 98
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 251f7e1e-a88c-430c-ac13-c218d3f57093 · inbound
ICTP Lectures on (Non-)Invertible Generalized Symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 267b5e1c-c1fa-4404-b559-868ba92ca343 · inbound
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3be20081-b0c6-49e3-b465-080247391161 · inbound
Non-Invertible Anyon Condensation and Level-Rank Dualities Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3092c745-981e-451d-bb4f-91e6d9272668 · inbound
Self-$G$-ality in 1+1 dimensions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 50794b0c-bc20-4a52-950b-75a05deb6641 · inbound
Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 45e4dda4-d8d2-4c06-82ac-64c1d1f62485 · inbound
The Higher Structure of Symmetries of Axion-Maxwell Theory Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00183ea3-10f4-44c6-803f-db6f0616bbdd · inbound
SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c5465a3-59fb-4ad5-b4e7-220d278d5f02 · inbound
Noninvertible Symmetry-Enriched Quantum Critical Point Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9763acc2-4de7-46bb-ba1e-91c574276858 · inbound
Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7765d92-abac-46c8-8c48-8d064b511dca · inbound
Vertex algebras, topological defects, and Moonshine Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b62b524e-f9de-4eb1-9f73-1e179b74b6fc · inbound
Particle-Soliton Degeneracy in 2D Quantum Chromodynamics Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cdf7d453-9943-4229-b47b-2f1cab3a132a · inbound
SymSETs and self-dualities under gauging non-invertible symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation efc9fb06-1d6c-4781-ba0a-753b3b315507 · inbound
Higher Representations and Quark Confinement Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c470f522-5e14-4c46-afe6-0c59b1bb3f13 · inbound
Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb672876-8f5b-4789-aa72-a714a431c8c4 · inbound
Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f75122a-16e1-49f4-91e6-bcc9db218477 · inbound
On the Physics of Higher Condensation Defects Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 906b91b1-bf95-45aa-a6e2-0020a75a3f93 · inbound
Matter symmetries in supersymmetric standard models from non-invertible selection rules Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e866057-3987-4818-b5cd-0036f30e89f9 · inbound
ADE triality via (non-)invertible symmetry gauging Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99d01317-4a20-4bce-b34d-f9fb4becb37b · inbound
Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8250c420-9b91-4792-b73c-472980c0fd58 · inbound
On discrete gauging and non-invertible selection rules Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d85721ca-f353-4297-8331-d695723ea69a · inbound
A radiative lepton model in a non-invertible fusion rule Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e31a02b-04e8-4d3b-833b-bf91752613e5 · inbound
Three-loop induced neutrino mass model in a non-invertible symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec814d1b-fe9d-44ae-bd92-ca5324b24d3c · inbound
Non-Local Conserved Currents and Continuous Non-Invertible Symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49a102e9-3c4e-4153-8f84-2a6352642df4 · inbound
Disjoint additivity and local quantum physics Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3075e12b-6106-4279-a041-5d4e7646a53a · inbound
SymTFT actions, Condensable algebras and Categorical anomaly resolutions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 90
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 047995a8-9586-4081-aeb1-973440f250bc · inbound
Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a16fd41-911d-4385-9d38-e8011ed335db · inbound
Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 229e0335-0e61-4db8-b66b-3df1acaab980 · inbound
Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$ Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 800924f2-158b-45b2-882b-01fcd67bf733 · inbound
Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d72a325a-26f7-4d86-b0c7-ded62c17c227 · inbound
Non-invertible translation from Lieb-Schultz-Mattis anomaly Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d558c263-8595-4a26-a3ac-566cdfc75d07 · inbound
Symmetry Spans and Enforced Gaplessness Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 121
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bdde5f52-c4aa-4340-af3c-2b49d701ba32 · inbound
Matrix-product operator dualities in integrable lattice models Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3eb3cfcc-6fb2-4cb7-8385-276479b04396 · inbound
Continuous symmetries and charge measurement of boundary operators in holography Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffa4c60a-dc13-4e71-a514-c3460305602f · inbound
Dynamical CP Violation from Non-Invertible Selection Rules Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9a748242-34b1-4982-bc8b-69e18526cd78 · inbound
Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 430fee61-57e5-42d1-bc38-45bf7983e33a · inbound
Extraordinary Surface Criticalities for Interacting Fermions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 117
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 91c11257-5994-4f05-b14c-fd9aa1d95462 · inbound
Extraordinary Surface Criticalities for Interacting Fermions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 117
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9c326044-3bfa-4698-9330-f965dd8d3e8c · inbound
Candidate Gaugings of Categorical Continuous Symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cd19e5c4-bf61-4e49-9f53-cd386d7b4d00 · inbound
From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 254
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f5d22763-f2a2-4a6e-bd1b-7e0991250638 · inbound
Parafermionizing the Monster Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f875191-3317-4626-ae31-07f1dfdba6ff · inbound
Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 268620b2-042a-46da-b2e8-0c1981ea2aa1 · inbound
A Twist on Scattering from Defect Anomalies Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 88
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d0ecda49-0c62-4514-9db3-ce30d33a8ec2 · inbound
Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e0fc64d0-4fec-47fd-80a3-4537aa3ec8cb · inbound
Stringy T-duality on the lattice and the twisted Villain model Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 17662bb1-5c86-4330-8be7-86ca3b2ddf14 · inbound
Fusion of Integrable Defects and the Defect $g$-Function Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9b9383ae-c18b-4292-8877-658e13366c4d · inbound
Defect Conformal Manifolds along RG Domain Walls between $\mathbb Z_N$-Parafermions and Minimal Models Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8f64c0f1-6080-42c6-a4f2-3665be3da5b3 · inbound
Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 77cb57ff-8911-4168-9b8f-81779415190f · inbound
Twin Phases: Intrinsic Deconfined Quantum Criticality Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3ad8ce0e-0592-4f51-a88e-0618ada66e28 · inbound
Notes on (-2)-form symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 87
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 513a293c-70f5-4e10-b3d4-7a27791ab820 · inbound
Notes on (-2)-form symmetries Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 87
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4eda7336-4d80-4bec-9a95-e1a6900c1299 · inbound
Handbook of Error-Correcting Codes Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 237
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 04ec2e98-40f9-4382-9e8d-5f8f5bddcd1a · inbound
Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 92
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9ff754f1-d5ea-4f8b-b4a5-0d7e31156cb1 · inbound
Lattice non-invertible symmetry from non-commuting transfer matrices Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c2525391-5ff8-4399-91bb-96fbb7bbd761 · inbound
Lattice non-invertible symmetry from non-commuting transfer matrices Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2af363f5-47d4-4b4b-bcbf-fd36366ffa81 · inbound
Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1d5fe278-3768-47c5-af89-294ae763509c · inbound
Half dualization and non-invertible particle-vortex duality defect on lattice Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 954a8396-ea1d-4754-b610-92aba3682738 · inbound
Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3b22e33-747d-4ce1-a104-a8fdd87630db · inbound
Approximate Quantum Error Correction at Chiral Topological Edges Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
Reference 124
Source-reported events for the cited work
Unavailable: canonical work link unavailable.