Paper Citation Record · LEDGER

Lyapunov formulation of band theory for disordered non-Hermitian systems

As of 9 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 4 inbound Pith citation observations for arXiv:2507.09447.

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

pith.paper-citation-record.v1
2507.09447 v1

Coverage vector

measured 73 of 73 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T18:05:13.025829Z

measured 77 of 77 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:11:31.623637Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:38:19.048475Z

Reference resolution

73 of 73 outbound references displayed

verified exact1
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External citation measurements

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Outbound references

Observation 73b5d57d-75d4-481d-8820-4bd101756506 · outbound

This paper cites an unresolved cited work.

Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:06.932020Z

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Observation c9ef7192-2c16-4486-bb1d-be5b5d41d5b3 · outbound

This paper cites El-Ganainy, K.

Lyapunov formulation of band theory for disordered non-Hermitian systems El-Ganainy, K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:17.525313Z

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Observation 53d7cf37-8c54-44ef-b1b2-8188bfeb5ab2 · outbound

This paper cites Moiseyev, Non-Hermitian Quantum Mechanics(Cam- bridge University Press, New York, 2011).

Lyapunov formulation of band theory for disordered non-Hermitian systems Moiseyev, Non-Hermitian Quantum Mechanics(Cam- bridge University Press, New York, 2011)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:17.361198Z

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Observation 48d6e931-fd87-4cc5-8aa5-93a6e8b83b12 · outbound

This paper cites Ashida, Z.

Lyapunov formulation of band theory for disordered non-Hermitian systems Ashida, Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:17.243739Z

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Observation 1dbf9fbf-9ed8-4c8d-b7d9-77b850d9dc9b · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 5

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Observation 5b83166c-6796-4878-b052-3ee111cdea9a · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:17.120350Z

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Observation 2f0472c5-572b-4a32-98de-1e06c4a66241 · outbound

This paper cites Yao and Z.

Lyapunov formulation of band theory for disordered non-Hermitian systems Yao and Z

Reference 7

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Observation 9c304f01-ee25-4ab1-b92d-ce7a3f6b3d29 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 8

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Observation a58aadba-a24b-4bae-b16a-ca9fb67aa637 · outbound

This paper cites Zhang, Z.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, Z

Reference 9

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Observation 6c305d32-e54f-4cf2-8207-deb905aab4bd · outbound

This paper cites Yokomizo and S.

Lyapunov formulation of band theory for disordered non-Hermitian systems Yokomizo and S

Reference 10

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Observation c55ff236-3628-435b-a5d8-04e523fb4e02 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 11

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Observation 0f3b1f5f-a809-463d-b5d2-061178ae3fb7 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 12

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Observation 8d6db68a-47c4-4e02-acf8-acbbcd1cdc75 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 13

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Observation 42df6e3f-fafc-46a6-a538-38007789a48f · outbound

This paper cites Helbig, T.

Lyapunov formulation of band theory for disordered non-Hermitian systems Helbig, T

Reference 14

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Observation 4c6efde3-93b5-4e9c-8ecf-a759686748da · outbound

This paper cites Zhang, T.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, T

Reference 15

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Observation 9e3c8ee1-0080-4a21-bf32-86b7be7043f6 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 16

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Observation e7b35b66-3fa9-4b11-abd7-a6ab6497d2bd · outbound

This paper cites Ghatak, M.

Lyapunov formulation of band theory for disordered non-Hermitian systems Ghatak, M

Reference 17

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Observation b6ae0e59-9349-47ed-bfdd-e63ea85cc3d2 · outbound

This paper cites Liang, D.

Lyapunov formulation of band theory for disordered non-Hermitian systems Liang, D

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.346657Z

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Observation 13f10403-f5c0-4b54-9842-9e04d2eee607 · outbound

This paper cites Okuma, K.

Lyapunov formulation of band theory for disordered non-Hermitian systems Okuma, K

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.414154Z

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Observation ebc6c200-c9f1-4883-80d8-2b3a2c5b8318 · outbound

This paper cites Hu, Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra, Sci.

Lyapunov formulation of band theory for disordered non-Hermitian systems Hu, Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra, Sci

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.516935Z

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Observation 239b37a4-eb1e-4362-9e09-f335441b5d23 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.618092Z

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Observation d40817a4-02ef-4e02-8e14-fc7346b2a76b · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.683448Z

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Observation 343fc7b5-63b3-4335-aa12-781fa8320c77 · outbound

This paper cites Hatano and D.

Lyapunov formulation of band theory for disordered non-Hermitian systems Hatano and D

Reference 23

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Observation e0d84173-20b2-4ffa-8d64-e0256846f51b · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:08.892231Z

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Observation c7595c56-0669-4559-8628-66baad151934 · outbound

This paper cites Kawabata and S.

Lyapunov formulation of band theory for disordered non-Hermitian systems Kawabata and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:16.573262Z

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Observation da976759-f96e-477b-844d-31f5653a66d2 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.062834Z

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Observation 5710d00b-6716-4f12-8445-534f1687b93b · outbound

This paper cites Zhang, H.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, H

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.167607Z

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Observation a40f1c3a-a17b-4c83-b08c-e053602f3dda · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.275431Z

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Observation 8846dc10-12d0-4a65-ae2a-1e8e683f78a7 · outbound

This paper cites Observation of disorder-induced boundary localization.

Lyapunov formulation of band theory for disordered non-Hermitian systems Observation of disorder-induced boundary localization

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.370554Z

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Observation 4a962c37-f19d-4da6-af0a-1ffc7a72cee1 · outbound

This paper cites Longhi, Topological phase transition in non-Hermitian quasicrystals, Phys.

Lyapunov formulation of band theory for disordered non-Hermitian systems Longhi, Topological phase transition in non-Hermitian quasicrystals, Phys

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.471943Z

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Observation 7a232ca0-8e61-47d6-906b-81f2639c010d · outbound

This paper cites Weidemann, M.

Lyapunov formulation of band theory for disordered non-Hermitian systems Weidemann, M

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.576513Z

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Observation b9d4186f-af87-4ece-81a8-c4819ef73e77 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 32

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Observation bfa324a9-14c6-4003-a74f-11791a07d32b · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 33

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Observation 1d345c5d-865e-45ed-8848-fa440e393a3e · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 34

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Observation 855de59a-ab4b-49f9-ac55-588b59f36fcd · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 35

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Observation 61bdd757-3230-43e0-87fc-14991e779094 · outbound

This paper cites Longhi, Spectral deformations in non-Hermitian lat- tices with disorder and skin effect: A solvable model, Phys.

Lyapunov formulation of band theory for disordered non-Hermitian systems Longhi, Spectral deformations in non-Hermitian lat- tices with disorder and skin effect: A solvable model, Phys

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:09.981410Z

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Observation a1cb097f-103d-4292-baa3-a70905753f5a · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 37

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Observation 805fb258-6135-4acf-bdfe-d7158e83e865 · outbound

This paper cites Zeng and Y.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zeng and Y

Reference 38

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Observation 27473183-264b-47a6-9b22-9792a770dded · outbound

This paper cites Li and Zhi Li, Ring structure in the complex plane: A fingerprint of a non-Hermitian mobility edge, Phys.

Lyapunov formulation of band theory for disordered non-Hermitian systems Li and Zhi Li, Ring structure in the complex plane: A fingerprint of a non-Hermitian mobility edge, Phys

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:10.227906Z

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Observation 6d7b76c0-4694-470a-a086-8fdcb0c015f4 · outbound

This paper cites Claes and T.

Lyapunov formulation of band theory for disordered non-Hermitian systems Claes and T

Reference 40

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Observation 04f49d25-352f-4e34-99a4-8705e446675c · outbound

This paper cites Huang, Y.-M.

Lyapunov formulation of band theory for disordered non-Hermitian systems Huang, Y.-M

Reference 41

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Observation c5e006a5-9d67-457d-9461-35dbd8035d1a · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 42

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Observation 63559f0f-71cd-4099-85e0-b394721e8093 · outbound

This paper cites Guo, C.-H.

Lyapunov formulation of band theory for disordered non-Hermitian systems Guo, C.-H

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:16.006565Z

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Observation 5cd27064-85d3-4e04-9e90-518f70649981 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:10.681596Z

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Observation cbbed8a3-b3a4-4548-b309-a3e433051132 · outbound

This paper cites Guo et al., Scale-tailored localization and its ob- servation in non-Hermitian electrical circuits, Nat.

Lyapunov formulation of band theory for disordered non-Hermitian systems Guo et al., Scale-tailored localization and its ob- servation in non-Hermitian electrical circuits, Nat

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:15.810610Z

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Observation 833cef7d-8e5c-4ddd-9ee6-1c8d6af11ed3 · outbound

This paper cites Li, H.-R.

Lyapunov formulation of band theory for disordered non-Hermitian systems Li, H.-R

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:10.868790Z

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Observation 8977924b-7e2e-40ac-866c-d4f869325bae · outbound

This paper cites Molignini, O.

Lyapunov formulation of band theory for disordered non-Hermitian systems Molignini, O

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:10.953371Z

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Observation 4f81a65b-ccfe-4430-b594-734a2e1e2a8f · outbound

This paper cites Zhao and H.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhao and H

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:11.036900Z

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Observation 8f7d152c-52fd-4116-92d2-59b4455a5eca · outbound

This paper cites Phase-space Generalized Brillouin Zone for spatially inhomogeneous non-Hermitian systems.

Lyapunov formulation of band theory for disordered non-Hermitian systems Phase-space Generalized Brillouin Zone for spatially inhomogeneous non-Hermitian systems

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:11.090411Z

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Observation 6b37896e-0cc7-4810-86da-4ae0edfecc22 · outbound

This paper cites Weidemann, M.

Lyapunov formulation of band theory for disordered non-Hermitian systems Weidemann, M

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:11.179461Z

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Observation 196b4f51-5f7e-448c-934f-a69f742dd0ba · outbound

This paper cites Universal non-Hermitian transport in disordered systems.

Lyapunov formulation of band theory for disordered non-Hermitian systems Universal non-Hermitian transport in disordered systems

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:11.274727Z

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Observation 4c2134da-e191-4c65-a4b0-1aceda7267e8 · outbound

This paper cites Universal Spreading Dynamics in Quasiperiodic Non-Hermitian Systems.

Lyapunov formulation of band theory for disordered non-Hermitian systems Universal Spreading Dynamics in Quasiperiodic Non-Hermitian Systems

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:05:13.297510Z

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Observation 9620b5f7-1680-490a-a4d0-4380ea93ff92 · outbound

This paper cites Spreading dynamics in the Hatano-Nelson model with disorder.

Lyapunov formulation of band theory for disordered non-Hermitian systems Spreading dynamics in the Hatano-Nelson model with disorder

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:11.475264Z

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Observation 3c6d2107-90ab-4863-b10f-50ad1deeb09c · outbound

This paper cites Tai, C.-H.

Lyapunov formulation of band theory for disordered non-Hermitian systems Tai, C.-H

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:15.587838Z

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Observation d1af5e0c-4e31-4dc5-af1b-1e3af49810ab · outbound

This paper cites Xiong and H.

Lyapunov formulation of band theory for disordered non-Hermitian systems Xiong and H

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:15.425682Z

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Observation f5366f19-a55f-47d2-8c3c-920459506a5e · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:15.221469Z

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Observation bd5d6676-7a29-43f2-a260-c8906b52b8a3 · outbound

This paper cites Wang , F.

Lyapunov formulation of band theory for disordered non-Hermitian systems Wang , F

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:14.926972Z

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Observation af69fd64-85dd-4975-8235-9ee70356883e · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:14.742574Z

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Observation 40d49e99-bf84-4f86-9040-bb9c6574a6be · outbound

This paper cites Derrida, J.L.

Lyapunov formulation of band theory for disordered non-Hermitian systems Derrida, J.L

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:14.544322Z

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Observation f945bf19-0653-4ca7-b417-7c18d498c6f4 · outbound

This paper cites A co-dimensional analysis of γess(E) = 0 in- dicates that the mobility-edge form closed contours in the complex plane.

Lyapunov formulation of band theory for disordered non-Hermitian systems A co-dimensional analysis of γess(E) = 0 in- dicates that the mobility-edge form closed contours in the complex plane

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:14.352850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 866b6727-f048-4bc3-8782-b8f191e744d9 · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:14.145757Z

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Observation 85e2f3a4-9167-4c75-bea7-2116603d28ea · outbound

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Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:14.044886Z

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Observation 320a7799-fa33-4df0-9bd3-9201e89a91bf · outbound

This paper cites an unresolved cited work.

Lyapunov formulation of band theory for disordered non-Hermitian systems Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:05:13.948473Z

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Observation 79f91dab-69ec-4275-9a96-ac0e58d98c62 · outbound

This paper cites Zhang, Z.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, Z

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T18:05:12.195894Z

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Observation e3943b99-eb84-4651-9410-3a9f06bff626 · outbound

This paper cites Non-Hermitian skin effect in arbitrary dimensions: non-Bloch band theory and classification.

Lyapunov formulation of band theory for disordered non-Hermitian systems Non-Hermitian skin effect in arbitrary dimensions: non-Bloch band theory and classification

Reference 65

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Observation 5c8206c4-e38a-49e0-858b-058cbef3bbaf · outbound

This paper cites Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions.

Lyapunov formulation of band theory for disordered non-Hermitian systems Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions

Reference 66

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Observation 6c743773-24ae-4c11-a925-f2876c8ec72c · outbound

This paper cites Zhang, Z.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, Z

Reference 67

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Observation df25a2a1-92f6-4b5d-9ad1-f6dc47a8162c · outbound

This paper cites Zhang, C.

Lyapunov formulation of band theory for disordered non-Hermitian systems Zhang, C

Reference 68

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Observation 7e4d6646-bc2e-4d3c-aca5-83b81e77447c · outbound

This paper cites Fragile non-Bloch spectrum and unconventional Green's function.

Lyapunov formulation of band theory for disordered non-Hermitian systems Fragile non-Bloch spectrum and unconventional Green's function

Reference 69

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Observation cc163928-e807-4d89-925f-af6879bc2d5c · outbound

This paper cites Lyapunov formulation of band theory for disordered non-Hermitian systems.

Lyapunov formulation of band theory for disordered non-Hermitian systems Lyapunov formulation of band theory for disordered non-Hermitian systems

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:13.812793Z

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Observation d4d46dd4-27d8-4f74-8c6b-ae998734f3d9 · outbound

This paper cites By analytical continuation of the lattice momentum k → β = eik, we have the characteristic polynomial: f (β, E) = MX s=−M tsβs − E.

Lyapunov formulation of band theory for disordered non-Hermitian systems By analytical continuation of the lattice momentum k → β = eik, we have the characteristic polynomial: f (β, E) = MX s=−M tsβs − E

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:13.704697Z

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Observation 8fd0eb68-9eb0-42de-a090-e9d551321a8f · outbound

This paper cites In the TDL, the Coulomb potential contributed by the non-Bloch spectra is given by lim L→∞ ϕOBC (E) = I GBZ dβ 2πiβ ln |f (β, E)|.

Lyapunov formulation of band theory for disordered non-Hermitian systems In the TDL, the Coulomb potential contributed by the non-Bloch spectra is given by lim L→∞ ϕOBC (E) = I GBZ dβ 2πiβ ln |f (β, E)|

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:13.625271Z

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Observation e7b6d138-1d20-464b-9993-418ab43b60da · outbound

This paper cites Explicitly, we write the eigenvalue equation in terms of the 2 M × 2M transfer matrix:   ψM +l ψM −1+l.

Lyapunov formulation of band theory for disordered non-Hermitian systems Explicitly, we write the eigenvalue equation in terms of the 2 M × 2M transfer matrix:   ψM +l ψM −1+l

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:05:13.499373Z

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Pith citing papers

Observation 9df96a4a-d9be-4aa1-8263-93fe4cc0dd22 · inbound

Anisotropic Anderson localization in higher-dimensional nonreciprocal lattices cites this paper.

Anisotropic Anderson localization in higher-dimensional nonreciprocal lattices Lyapunov formulation of band theory for disordered non-Hermitian systems

Reference 57

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Observation ecfec974-0181-478a-888d-2e7b08dd276e · inbound

Probing Floquet topological phases via non-Hermitian skin effect of reflected waves cites this paper.

Probing Floquet topological phases via non-Hermitian skin effect of reflected waves Lyapunov formulation of band theory for disordered non-Hermitian systems

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-14T18:22:33.480514Z

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Observation 0683b7f5-1f6d-4efd-b6b0-7d1e938f92da · inbound

Non-Hermitian Delocalization Realizes Random Dirac Criticality in One Dimension cites this paper.

Non-Hermitian Delocalization Realizes Random Dirac Criticality in One Dimension Lyapunov formulation of band theory for disordered non-Hermitian systems

Reference 86

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Observation a2f9063d-23c9-43a7-9d1e-675a3694a741 · inbound

Spectral Topology and Non-Bloch Band Theory for Domain-Wall Systems cites this paper.

Spectral Topology and Non-Bloch Band Theory for Domain-Wall Systems Lyapunov formulation of band theory for disordered non-Hermitian systems

Reference 44

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