Paper Citation Record · LEDGER

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases

As of 16 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2510.19483.

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

pith.paper-citation-record.v1
2510.19483 v3

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:43:34.231109Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:23:15.237248Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:23:15.441678Z

Reference resolution

63 of 63 outbound references displayed

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External citation measurements

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Outbound references

Observation 374c6289-d474-4aca-b737-89385acdd2aa · outbound

This paper cites Kitaev, Periodic table for topological insulators and superconductors, inAIP conference proceedings, Vol.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Kitaev, Periodic table for topological insulators and superconductors, inAIP conference proceedings, Vol

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:26.655862Z

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Observation ec3a9950-5082-41e9-bad6-f73922d61818 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:26.784445Z

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Observation 71af08fa-65ef-431a-a829-f1fd0db506a5 · outbound

This paper cites Hohenadler, Z.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Hohenadler, Z

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:26.871122Z

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Observation 6b2a2bc5-06cc-4008-ba0e-c35b056d7bf5 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:26.929727Z

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Observation 1f134f55-d9a2-43c4-934c-03d74df34de3 · outbound

This paper cites Chen, Z.-C.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Chen, Z.-C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.035942Z

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Observation 7e04723b-8eca-432e-b40f-c77c4394b47c · outbound

This paper cites Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.204450Z

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Observation 2843cb30-2a7c-4485-ad1c-a2631793da58 · outbound

This paper cites Kapustin, R.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Kapustin, R

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.354744Z

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Observation 100ee92c-2d8b-411b-b466-a5642a882a22 · outbound

This paper cites Gu and X.-G.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Gu and X.-G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.480508Z

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Observation addf5fcb-bd48-45d9-9562-dddcae9b8c87 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.591659Z

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Observation 5dca97fd-65de-4299-9d29-7ddb2ef7a781 · outbound

This paper cites Wang and T.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Wang and T

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.713806Z

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Observation 44a88d3e-6337-4956-b28b-50d47f6f7385 · outbound

This paper cites Senthil, Symmetry-protected topological phases of quantum matter, Annu.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Senthil, Symmetry-protected topological phases of quantum matter, Annu

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.784779Z

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Observation 120c0ed0-7019-4b89-bf3f-dfa3abd2e75b · outbound

This paper cites He, H.-Q.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases He, H.-Q

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.864883Z

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Observation ec6d860e-83eb-4d80-8c4f-a9c6e3b81a28 · outbound

This paper cites He, H.-Q.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases He, H.-Q

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:27.971493Z

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Observation e8739e7f-e511-4b8f-95c8-f441bb0b433f · outbound

This paper cites He, H.-Q.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases He, H.-Q

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.045064Z

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Observation 2b81cd07-54ce-4936-b140-198a1cb87874 · outbound

This paper cites Song and A.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Song and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.140866Z

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Observation cea39a20-3868-4699-a8e5-82ab2ae892e8 · outbound

This paper cites Thorngren and D.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Thorngren and D

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.231802Z

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Observation 280719d3-5461-48cf-8765-8be74addb98b · outbound

This paper cites Barkeshli, Y.-A.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Barkeshli, Y.-A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.316729Z

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Observation 65fc5b50-1f0a-4980-a387-cc990b259131 · outbound

This paper cites Characterization and Classification of Fermionic Symmetry Enriched Topological Phases.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Characterization and Classification of Fermionic Symmetry Enriched Topological Phases

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.454657Z

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Observation ad1eba03-f773-4edc-94b2-73c326d575c8 · outbound

This paper cites Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems

Reference 19

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Observation 4a3a349c-3052-431e-aa33-53bee538367d · outbound

This paper cites charge bound to magnetic flux.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases charge bound to magnetic flux

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:26.512272Z

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Observation 4c7e1a25-a213-4a00-94b3-bbc81e35e2bd · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.671886Z

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Observation f127595b-bc80-486a-97e2-33308306e11a · outbound

This paper cites Avron, R.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Avron, R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.785526Z

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Observation 76a56c90-dcbb-4ccd-857e-3d0a741f7400 · outbound

This paper cites Read and E.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Read and E

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.895977Z

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Observation 825e5bea-20d3-4f16-853e-01b3c627102c · outbound

This paper cites "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:28.997810Z

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Observation 1cae99bd-1f39-4554-81cb-773b7d6172a4 · outbound

This paper cites Haldane, Geometrical description of the fractional quantum hall effect, Physical review letters107, 116801 (2011).

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Haldane, Geometrical description of the fractional quantum hall effect, Physical review letters107, 116801 (2011)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.134363Z

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Observation 4603e7db-b80f-4dc3-8fd3-71fb34c8e525 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.235062Z

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Observation ccf389fe-a1ca-45ca-bf87-c9cadfdc3795 · outbound

This paper cites Gromov, G.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Gromov, G

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.329572Z

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Observation 5aa76d97-75bc-449f-95e8-33640cfb77cf · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.403378Z

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Observation ccaf9d1c-da06-4a1b-954a-26f3c153bc97 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.552960Z

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Observation 3675ef27-7aeb-4ac2-9224-b7b3ebc50e3e · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.685019Z

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Observation 326cea9c-b649-48ab-892f-a3b9037b6c96 · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.741987Z

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Observation 6d27441e-8714-4998-9663-546c5fe4c0b6 · outbound

This paper cites May-Mann and T.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases May-Mann and T

Reference 32

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Observation bcd300fc-2b65-4d23-b556-98a02fe04ac5 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:29.983604Z

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Observation 2d03a920-d561-4947-814a-44af125e3a53 · outbound

This paper cites Zhang, N.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Zhang, N

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.079688Z

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Observation b1b43f64-e9a0-4962-8110-8161692f49d6 · outbound

This paper cites Zhang, N.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Zhang, N

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.183408Z

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Observation 1a6dadaf-6cdc-468c-afda-d56e08c2fd7b · outbound

This paper cites Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.317502Z

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Observation 2da3a729-e51d-4560-ad85-360895b586eb · outbound

This paper cites Crystalline invariants of fractional Chern insulators.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Crystalline invariants of fractional Chern insulators

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.457955Z

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Observation fbcf6a09-c4d5-4435-a766-2daa15ca4584 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.621820Z

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Observation cefcf92c-f041-49e7-ad95-3b9b701906c6 · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96–192 (2011).

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96–192 (2011)

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.796229Z

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Observation a72a6844-8178-4de0-9caa-e51e03c1582c · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:30.884642Z

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Observation c6346d23-2e12-461b-b529-6e87faeb2377 · outbound

This paper cites For example, the translation symmetry generatorsT x andT y satisfies the following relation:T xTyT −1 x T −1 y =e iϕ.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases For example, the translation symmetry generatorsT x andT y satisfies the following relation:T xTyT −1 x T −1 y =e iϕ

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.024806Z

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Observation 399d4441-4467-4d6c-95e9-389438d77ebb · outbound

This paper cites Song, Y.-C.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Song, Y.-C

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.158994Z

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Observation 31c27a07-9344-4915-9c94-3c71d82be701 · outbound

This paper cites Manjunath and M.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Manjunath and M

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.330702Z

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Observation 7a2f9050-11ea-4e87-90ed-cc557a23fc24 · outbound

This paper cites The details can be found in paper [34].

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases The details can be found in paper [34]

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.515490Z

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Observation ecb8e71a-e3ed-4896-82a5-74fdd73129b7 · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.640985Z

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Observation 268447af-9ec7-42ec-9617-89dee64d5916 · outbound

This paper cites Pollmann and A.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Pollmann and A

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.731208Z

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Observation 08849bd0-44ac-449b-a384-42220b2b6458 · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.798233Z

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Observation a2769ff6-3b85-42fe-a173-094f758664bd · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.890997Z

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Observation e18145fb-78b6-4d54-9298-0070d0abb4d8 · outbound

This paper cites Classification and detection of symmetry fractionalization in chiral spin liquids.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Classification and detection of symmetry fractionalization in chiral spin liquids

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:31.955358Z

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Observation 37aadbd0-26c1-4d9b-b503-43ff92e73477 · outbound

This paper cites Sun, Y.-C.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Sun, Y.-C

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.016943Z

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Observation e0273c34-dcdc-4526-900a-55555fb0867f · outbound

This paper cites Huang, X.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Huang, X

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.179042Z

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Observation be581d54-0dc3-4151-b3a5-2d9c1610a14f · outbound

This paper cites Shiozaki, H.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Shiozaki, H

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.321802Z

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Observation 6df9fa33-ed46-48d3-a5ce-f9489103eeed · outbound

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Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.458084Z

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Observation da5abdee-0641-499b-a8a6-7dbcce439ab2 · outbound

This paper cites Zhang and M.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Zhang and M

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.619327Z

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Observation e027abfa-4434-43c1-a558-2f2e5bc89b01 · outbound

This paper cites Aidelsburger, M.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Aidelsburger, M

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.711450Z

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Observation 9fb13ad1-6252-429b-8582-fbeeae222e6c · outbound

This paper cites Miyake, G.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Miyake, G

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:32.905100Z

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Observation 6cc3ee0d-c3e1-4729-9bcc-e531184fd3ed · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:33.091926Z

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Observation bd1adf6d-3e18-4997-9ecb-210451c7ff8c · outbound

This paper cites Hafezi, S.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Hafezi, S

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:33.283742Z

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Observation f6c6def3-cce0-4f41-bf60-6bb9eed0e74f · outbound

This paper cites Ozawa, H.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Ozawa, H

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:33.474560Z

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Observation c2c76014-62a2-4937-ad68-2c9c1469df03 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:33.667014Z

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Observation a94efed1-cc58-490d-9034-1be515727843 · outbound

This paper cites an unresolved cited work.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Unresolved cited work

Reference 61

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Observation 9d36c2f1-23f5-42b5-a67f-f1d969bf59ae · outbound

This paper cites Fishman, S.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Fishman, S

Reference 62

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This paper cites Fishman, S.

Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases Fishman, S

Reference 63

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Higher-Order Topological States with Cleavage-Dependent Dirac Mass cites this paper.

Higher-Order Topological States with Cleavage-Dependent Dirac Mass Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases

Reference 19

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