Paper Citation Record · LEDGER

Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2406.12962.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2406.12962 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.268023Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T18:07:31.541409Z

Reference resolution

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 908d889b-5b4b-4612-89ca-bcc1bb4c4c2b · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.002438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 901c26f2-621b-438e-ba40-19ce0f17387e · inbound

The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes cites this paper.

The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T19:52:30.272541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c34a196-5d97-40ac-93ff-5c41f348cffd · inbound

SymSETs and self-dualities under gauging non-invertible symmetries cites this paper.

SymSETs and self-dualities under gauging non-invertible symmetries Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T20:40:49.936207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ccecef2-a54f-4cd1-a41d-7ff8d6384486 · inbound

SymTFT construction of gapless exotic-foliated dual models cites this paper.

SymTFT construction of gapless exotic-foliated dual models Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-22T20:22:04.095904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef327394-96d7-4e1c-9d1d-97313266c898 · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-16T04:42:36.268023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9583ff47-09aa-48b4-86ee-2249178efe52 · inbound

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 162

Resolution: verified exact; arxiv_id, observed 2026-05-19T08:07:10.959262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fba0ac87-906c-4c5d-9896-5442c309d92f · inbound

Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies cites this paper.

Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-18T04:55:54.162368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 916d5458-b576-4d98-92c6-48cf648495b8 · inbound

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions cites this paper.

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 71

Resolution: verified exact; arxiv_id, observed 2026-05-16T17:58:12.847465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43a861d0-5dc8-4a0b-baf9-91b07be7a4ae · inbound

The Line, the Strip and the Duality Defect cites this paper.

The Line, the Strip and the Duality Defect Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:42:32.265476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 691fe894-0ea8-42b8-ab17-c24ae87f5ed4 · inbound

The Line, the Strip and the Duality Defect cites this paper.

The Line, the Strip and the Duality Defect Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:24.115740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d337d6c-19db-4a56-a335-de533de4972b · inbound

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints cites this paper.

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-15T07:55:14.996908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 08c8a7cc-be90-4b7d-8e40-7a6399ad06a0 · inbound

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions cites this paper.

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:48:33.481904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 026bdf39-f9cf-449f-9084-7cba7cefa060 · inbound

Universalities of Defects in Quantum Field Theories cites this paper.

Universalities of Defects in Quantum Field Theories Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 100

Resolution: verified exact; arxiv_id, observed 2026-05-22T08:31:17.183299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7eb7c532-bf1f-4ae5-844a-a6be8d2a3199 · inbound

The state/defect correspondence cites this paper.

The state/defect correspondence Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:48:12.196238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6fe40eb3-b655-4678-b400-6b1c5f2bd77e · inbound

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging cites this paper.

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-07-10T18:07:31.542668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.