Paper Citation Record · LEDGER

Non-Invertible Duality Transformation Between SPT and SSB Phases

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 26 inbound Pith citation observations for arXiv:2301.07899.

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

pith.paper-citation-record.v1
2301.07899 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 26 of 26 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 26 of 26 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.315828Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:40:08.380065Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

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 310de019-c154-4661-9062-5dfa9a185a22 · inbound

ICTP Lectures on (Non-)Invertible Generalized Symmetries cites this paper.

ICTP Lectures on (Non-)Invertible Generalized Symmetries Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:50:05.344726Z

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 eb8540a1-145b-43ee-85cd-e28ac3d0d985 · inbound

Lectures on Generalized Symmetries cites this paper.

Lectures on Generalized Symmetries Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 159

Resolution: verified exact; arxiv_id, observed 2026-05-17T14:14:52.193085Z

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 8833638d-5577-4827-ab0e-f09ecf65f64a · inbound

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries cites this paper.

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:34:08.306381Z

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 5026de5b-3018-4efe-a744-3502e51f3af5 · inbound

Self-$G$-ality in 1+1 dimensions cites this paper.

Self-$G$-ality in 1+1 dimensions Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-24T00:35:55.933897Z

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 291ffe0b-a2d5-457b-a13f-707137bd6f1a · inbound

Disentangling critical quantum spin chains with Clifford circuits cites this paper.

Disentangling critical quantum spin chains with Clifford circuits Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T17:21:55.897337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c263e13-644f-4e58-bc94-fc4bced5e35f · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.190841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bfdfa92-76b3-4d02-90ad-6febdfe22586 · inbound

Higher Representations and Quark Confinement cites this paper.

Higher Representations and Quark Confinement Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T20:18:00.086637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65da297b-1f58-4e8a-88b9-f085092ba2a4 · inbound

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories cites this paper.

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-10T13:38:16.921234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65df19ef-a3ee-48e2-a471-c511a26e432a · 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 Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-16T04:42:36.315828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f963634-89ff-43cf-8934-d3b55959a8e1 · inbound

Twisted Partition Functions as Order Parameters cites this paper.

Twisted Partition Functions as Order Parameters Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.792746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0eebefd-5a6e-4bf8-831f-461a649ea409 · inbound

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries cites this paper.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T14:22:36.246668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb23bc60-0474-4f6b-b9dd-cd508715ae2b · 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 Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 92

Resolution: verified exact; arxiv_id, observed 2026-05-19T08:07:11.091774Z

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 b70d370f-0d56-44ff-85a7-2cf7f6085110 · inbound

Symmetry theta angles and topological Witten effects cites this paper.

Symmetry theta angles and topological Witten effects Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T21:32:23.457011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64187f65-e3e7-4e9a-abf4-c2c58d32f353 · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 230

Resolution: verified exact; arxiv_id, observed 2026-05-21T23:54:28.270433Z

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 dba976dc-950e-412c-8988-3ea236433ed2 · inbound

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs cites this paper.

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-05T10:21:55.789696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f9a06db-8d73-45c5-8c01-88135471878d · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 200

Resolution: unresolved; no resolver link, observed 2026-08-03T13:35:49.589392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b5a1c22-74c0-4e02-90db-809511abd418 · inbound

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions cites this paper.

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-16T17:38:10.875036Z

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 4117ec8e-1e91-4e82-8782-74aeea184ec3 · inbound

Non-invertible translation from Lieb-Schultz-Mattis anomaly cites this paper.

Non-invertible translation from Lieb-Schultz-Mattis anomaly Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T07:02:22.257105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa3fc8fc-b6ef-4c1e-9bf4-45e821bd82aa · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 112

Resolution: verified exact; arxiv_id, observed 2026-05-16T03:27:13.431433Z

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 b6356803-60fe-4e66-a51e-00231e8787e7 · inbound

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems cites this paper.

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:18:06.180698Z

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 bec64938-0480-4617-9d85-1edb469d8fff · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 66

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:53:33.796920Z

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 617a141b-1276-42ce-98f6-81d5cf3db8cb · inbound

Understanding deconfined quantum critical points from crystalline categorical Landau paradigm cites this paper.

Understanding deconfined quantum critical points from crystalline categorical Landau paradigm Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:27:06.007155Z

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 22f0aac3-8370-4eba-866b-7a262b2e59e9 · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:40:08.381486Z

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 54da831b-231a-46b8-9c10-2b4530df730c · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T10:15:05.100934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41f3cf45-7e75-4bec-9035-925f45c3063b · inbound

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals cites this paper.

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-31T20:29:55.275006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79570631-2775-4b2a-a30e-d80d8a76ccec · inbound

Quantized topological invariant of symmetry-projected Gibbs states cites this paper.

Quantized topological invariant of symmetry-projected Gibbs states Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-08T19:23:25.913888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.