Paper Citation Record · LEDGER

Reduced Wannier representation for topological bands

As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2412.17084.

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

pith.paper-citation-record.v1
2412.17084 v3

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:55:52.142503Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact1
verified fuzzy15
unresolved31
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 135a4b01-fa8c-45b6-9930-d1f95fb5dd3e · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:55:52.931653Z

Source-reported events for the cited work

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Observation bacb083b-1801-4acf-81dd-2a9a9ef185ba · outbound

This paper cites Kohn, Analytic properties of bloch waves and wannier functions, Phys.

Reduced Wannier representation for topological bands Kohn, Analytic properties of bloch waves and wannier functions, Phys

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.912462Z

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Observation 7e4be679-cfac-40f0-98fe-197296846f2d · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 3

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Observation 65604f57-5759-434f-bfc6-4af640d4fa04 · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 4

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Observation 411784f9-c0aa-4d5f-81b1-31eb22eae23f · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 5

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Observation f66c8231-bb3a-40bd-ba4f-3004b93ed9c8 · outbound

This paper cites Strinati, Multipole wave functions for photoelectrons in crystals.

Reduced Wannier representation for topological bands Strinati, Multipole wave functions for photoelectrons in crystals

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.849913Z

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Observation 6a9d721b-b3f1-473a-ae2b-5ee8a86b7306 · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:55:52.827381Z

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Observation d6ac0e6e-bdac-4c17-913e-be05a5b0e343 · outbound

This paper cites Jung and A.

Reduced Wannier representation for topological bands Jung and A

Reference 8

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Observation f9a0d361-f2f2-4ed6-a4c6-e2728d979886 · outbound

This paper cites Gresch, Q.

Reduced Wannier representation for topological bands Gresch, Q

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.786377Z

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Observation 06c9ff01-f164-48d9-a72c-794b038f9fd8 · outbound

This paper cites Lihm and C.-H.

Reduced Wannier representation for topological bands Lihm and C.-H

Reference 10

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This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 11

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Observation bc210dd1-66f8-4bf1-a191-a68b7ee3f9de · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 12

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Observation 7ece4e1a-41d1-48e7-9eef-71f33ccdc104 · outbound

This paper cites Calzolari, N.

Reduced Wannier representation for topological bands Calzolari, N

Reference 13

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Observation 00379b78-8038-489d-a22a-e8f86ad30146 · outbound

This paper cites Kruthoff, J.

Reduced Wannier representation for topological bands Kruthoff, J

Reference 14

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Observation 14e2b8c7-5ac5-436c-a41a-00e4ef785c20 · outbound

This paper cites Bradlyn, L.

Reduced Wannier representation for topological bands Bradlyn, L

Reference 15

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Observation 230c7f45-5ded-4dbb-aee5-5e0443d04a5d · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 16

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Observation f2e09f0e-ba3d-41c8-8cef-f9b206458dac · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 17

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Observation 0eec89ae-d49f-4dfc-bf75-de00cd679ddd · outbound

This paper cites Thonhauser and D.

Reduced Wannier representation for topological bands Thonhauser and D

Reference 18

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Observation c3e2dfc4-90d1-4df3-9b2e-7423972b2596 · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 19

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Observation 3d25c9f0-e310-477c-b467-68f8c7a18fcf · outbound

This paper cites Vanderbilt, BERRY PHASES IN ELECTRONIC STRUCTURE THEORY: Electric Polarization, Orbital Magnetization and Topological Insulators(2018).

Reduced Wannier representation for topological bands Vanderbilt, BERRY PHASES IN ELECTRONIC STRUCTURE THEORY: Electric Polarization, Orbital Magnetization and Topological Insulators(2018)

Reference 20

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Observation 3e36f3d0-60a8-4934-95aa-0d81274ca69a · outbound

This paper cites an unresolved cited work.

Reduced Wannier representation for topological bands Unresolved cited work

Reference 21

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Observation 29bb8565-49bb-4a90-bc47-d742f2026eb7 · outbound

This paper cites Cano and B.

Reduced Wannier representation for topological bands Cano and B

Reference 22

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 23

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Observation c9486f90-dd36-4c38-b1d2-be78c82e657d · outbound

This paper cites Bouhon, A.

Reduced Wannier representation for topological bands Bouhon, A

Reference 24

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Observation 0e2555ef-2206-424d-b934-7c09acf0c15a · outbound

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Reduced Wannier representation for topological bands Song and B

Reference 25

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Observation 5f7bfb42-dc03-48df-907f-bca5fe701f67 · outbound

This paper cites Hu and Q.

Reduced Wannier representation for topological bands Hu and Q

Reference 26

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Observation 1c49a9a5-5f53-4af3-8092-f5ee1e6fab54 · outbound

This paper cites Metallic quantum criticality enabled by flat bands in a kagome lattice.

Reduced Wannier representation for topological bands Metallic quantum criticality enabled by flat bands in a kagome lattice

Reference 27

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Observation 3de274ed-500b-47e7-99e6-efa6283a48eb · outbound

This paper cites Souza, N.

Reduced Wannier representation for topological bands Souza, N

Reference 28

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Observation d8189d56-34c9-421f-9b8f-f121b5e07325 · outbound

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Reduced Wannier representation for topological bands Marzari, A

Reference 29

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Observation 2226571d-e487-4cc6-acf0-fb966f27af5d · outbound

This paper cites Coh and D.

Reduced Wannier representation for topological bands Coh and D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.481076Z

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Observation d8125bbd-1c71-4c46-9985-ea360dbf93b0 · outbound

This paper cites Cole and D.

Reduced Wannier representation for topological bands Cole and D

Reference 31

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Source-reported events for the cited work

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Observation 21eacda2-397b-4ad1-914d-5009c213e7f3 · outbound

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Reduced Wannier representation for topological bands Marzari and D

Reference 32

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Observation 379b4d7a-e449-4943-b448-729ea2550457 · outbound

This paper cites Study, K¨ urzeste wege im komplexen gebiet, Mathema- tische Annalen 60, 321 (1905).

Reduced Wannier representation for topological bands Study, K¨ urzeste wege im komplexen gebiet, Mathema- tische Annalen 60, 321 (1905)

Reference 33

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Observation e49eceef-e128-4177-a20d-639f5f8fb4d5 · outbound

This paper cites phases” and “distance.

Reduced Wannier representation for topological bands phases” and “distance

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.420861Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a73ae26-76b9-4dcc-abd2-2a28f9f4d8f7 · outbound

This paper cites Constraints on real space representations of Chern bands.

Reduced Wannier representation for topological bands Constraints on real space representations of Chern bands

Reference 35

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Observation 8aaa9f32-5563-4de1-87a8-c90c81ed946e · outbound

This paper cites Shayegan, Wigner crystals in flat band 2d electron systems, Nature Reviews Physics 4, 212 (2022).

Reduced Wannier representation for topological bands Shayegan, Wigner crystals in flat band 2d electron systems, Nature Reviews Physics 4, 212 (2022)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.404805Z

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Observation 2904458f-48cc-4932-a2b8-07a20cfd3151 · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:55:52.387418Z

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Observation 76776031-18da-4101-90fe-9b21a0eff9f0 · outbound

This paper cites Fractional quantum anomalous Hall effect in a singular flat band.

Reduced Wannier representation for topological bands Fractional quantum anomalous Hall effect in a singular flat band

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T05:55:52.099374Z

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Observation bf87aad8-9c61-44c0-808a-37f0e788d9a6 · outbound

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Reduced Wannier representation for topological bands Zhao and S.-Q

Reference 39

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Observation 038026fd-ecf0-4e81-9490-34d01199330d · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:55:52.352718Z

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Observation b5a4015f-01be-4714-a38b-5597336d72af · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 41

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Observation 96b3274e-bf03-4bd8-a920-33ba423e02fa · outbound

This paper cites Jaworowski, A.

Reduced Wannier representation for topological bands Jaworowski, A

Reference 42

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Observation 33896cfd-528c-4d52-86f6-1ae9059bafa5 · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 43

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Observation f4017a0c-6f42-4ace-8211-fd4d3174ca2a · outbound

This paper cites Kang and O.

Reduced Wannier representation for topological bands Kang and O

Reference 44

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Observation 6016cde6-63c1-4b1e-b6f3-53721d9887c7 · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:55:52.287571Z

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Observation c1a0066c-8bfa-4db7-b685-d7c8f236479e · outbound

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Reduced Wannier representation for topological bands Unresolved cited work

Reference 46

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Observation d599daf9-6d75-4267-a53a-d215235909d4 · outbound

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Reduced Wannier representation for topological bands Marrazzo, S

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:55:52.259303Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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