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Paper Citation Record · LEDGER

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2505.23610.

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

pith.paper-citation-record.v1
2505.23610 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:57:01.326036Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy23
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f62277dc-d253-42a5-9d0b-368d96227cf9 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.852902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.019049Z digest=sha256:c7813bcd836e3bf0946d0542b417dd788603c792ab60cd10cb3336fa7188d85a

Observation 87d2b6ae-835d-4a51-a694-09bcc11e6ddc · outbound

This paper cites Ammari, S.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.843643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.136635Z digest=sha256:612c31a458ac56a7af9e8abfda40c9a5c22b193c2353a32fd2f09a6e890affe3

Observation a166b2b5-166f-491b-8ad5-efccb19b7655 · outbound

This paper cites Ammari, S.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.833743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.278204Z digest=sha256:a8a9c4d544cbcf93fe9a4b1cbae64236be7c0c3e6cd3e8f7eaf93407d50eb53b

Observation 047d8cdd-3a62-4fb6-b7a3-15051fc220b3 · outbound

This paper cites Ammari, S.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.822223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.389300Z digest=sha256:425cfcf4cea7319a04b04041c2ff90505fc4eb1953e26230011b2833921b200b

Observation f578d7e6-4e97-43de-be6b-f97df989d83a · outbound

This paper cites Ammari, B.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, B

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.811343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.529064Z digest=sha256:9a505ab7cf32c7aa8b1384a992ba381b91b44edc586ae808ecd7e653d2fb7c9f

Observation 8a861f33-e72e-4c76-b785-c9a370eea0b3 · outbound

This paper cites Ammari, B.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.800986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.634278Z digest=sha256:894a1da5628bed9d9cebe206df59b1b7162f49f535b1cb5ca7d66840d006f0d8

Observation 40a1e2e4-93ea-4152-8784-30beb4a4d0b2 · outbound

This paper cites Ammari, B.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ammari, B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.791643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.751746Z digest=sha256:aa8e8e28e959fbcfcb69b332145311db5091a9481b1e91ced4da2ac4c86666ae

Observation f62f7e68-c548-4a6d-9b34-b57a28bb0676 · outbound

This paper cites Ashida, Z.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ashida, Z

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.781490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:58.891605Z digest=sha256:61819f92da11ba9cacc0c7fe343ad3074f247d5ef9f274820d3c8925fc9fa233

Observation 229f4a6c-ce12-4587-b125-63f4710e12c8 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.770398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.058661Z digest=sha256:d2e877b259dd9402ff6afebb4719feb1c8d6ccd46d6afea4c9860d45d9bf35f3

Observation 54115778-2bd5-4194-a56b-b00023c1c1dc · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.759495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.140453Z digest=sha256:4d2f4f1732063fcedd748f08b8cd9b7e13b246475d648257f7c84639109201fd

Observation ca2bfb9a-10c2-4d94-b679-4f2bdf9fa298 · outbound

This paper cites Böttcher and B.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Böttcher and B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.749523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.213216Z digest=sha256:6bacae75774d5635025f8bad8c63230a5dbb3ed53f9fafa1fa788e4fc0c4d9c4

Observation 92f2a3a5-4da0-4070-821d-6cdad7f2c813 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.739049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.290770Z digest=sha256:4afa4f39823e312b45aa143486140f9c6fb1a75012ba1013afc633666b9390b2

Observation 13e32462-4d90-44f1-8f67-def876e6c841 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.727871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.407062Z digest=sha256:b4945fdcd49089af07d6b7e29c8bf3534dc43a24ff9ae33f723458f2438d034f

Observation ab5b4bf0-d1b0-4c54-9bde-e49ce31cd935 · outbound

This paper cites da Fonseca and J.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects da Fonseca and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.717777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.540983Z digest=sha256:8f6cc3a2a11f02e270bdedf1c4adfa0eabd1db1c5275d7ca0661c19d3f9ba7e3

Observation 4ad11f8f-08ff-4083-ac9e-3782fbac0730 · outbound

This paper cites Davies, S.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Davies, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.707376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.637191Z digest=sha256:9f5f1e329b80fc67c542783cf2ecaf9374899410e6d96d58770727736192bfcb

Observation bac1b905-0f79-4421-a11c-f7687a85d851 · outbound

This paper cites De Bruijn and E.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects De Bruijn and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.696917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.721999Z digest=sha256:2716feffd4cadec059671c76294fbbf73cb520fe540ebb4e01bb48a19e29fd27

Observation af5e38b0-a18c-4901-9cae-7cbea80ed072 · outbound

This paper cites Feppon, Z.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Feppon, Z

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.686347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.831888Z digest=sha256:17d5edb4aa9a5bed66cbcbdf41c86349cffc8145b7b6be9b6f6e5fef68a66f8f

Observation e77d16ad-7312-4f82-ac75-089a418aa937 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.676704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:56:59.929010Z digest=sha256:f3a87ca8310959c24ff2dc74ef0e6324425ff0c126cbddaf26c2021b25293f02

Observation 85a44631-8159-460a-b771-bbd20659bdc6 · outbound

This paper cites Ghatak, M.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Ghatak, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.667198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.032625Z digest=sha256:df32067cc4d0b127448da2a1ca3f233da6e49af1f288abdf1bb8382c7af9ac8a

Observation 91e447d8-bfe5-4bc7-8f19-d1d183c79958 · outbound

This paper cites Gohberg, M.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Gohberg, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.656415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.169229Z digest=sha256:2341f9017d547bfe419be82a983100baae602cbe74ce88285941237c26e8f232

Observation 1ab29878-0590-47b2-80e1-2e032987f66b · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.647019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.298375Z digest=sha256:502324738d670e7640fa91c321d2f0270f1824abdb81191e060d59fdb00d98a1

Observation a612e44c-cf06-4e5e-a4d6-5aa14ab2984c · outbound

This paper cites Hatano and D.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Hatano and D

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.637232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.401903Z digest=sha256:22f205e8100fb792c449d8746367a65e6480ffae5275e0837a4e60e7f109ccea

Observation 77dc3782-005e-4981-b092-10aa0e6b3cde · outbound

This paper cites Hatano and D.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Hatano and D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.621786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.513400Z digest=sha256:47b4cb75c488027cd21b8a7fe3f4a0706cbdb57924264257d152166d084cfae7

Observation 90e3c74a-52fb-48af-a2c1-aab5b4fc675a · outbound

This paper cites Jana and L.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Jana and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.603739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.615991Z digest=sha256:5831cb0d796ea8edd83f48906410bf43ab1a11cbd95f856cda0a2c66d2850f9d

Observation 8060a8f8-89d9-45ac-9c12-f477df9af533 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.582903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.723242Z digest=sha256:f6a15738ba71d11102d84d918f7822981b9e0e8843a70098bb9635551adbd2c6

Observation 81930e28-3703-4dee-9b35-f0c7fc33e33d · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.506672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.827366Z digest=sha256:c2ecb85fde2580c91103fb8b2c1cb4d5a66fb155afada0ab1c5ae8ca87eb99d3

Observation 677d9af1-2249-433c-8fae-20e15b9f62f7 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:02.397171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:00.953916Z digest=sha256:3163bd933afc8981e5aefb14a835b8e7f7642c1ef2e1e0d44811c62d6340da95

Observation d5376ecf-145c-4f37-b232-df95538390e8 · outbound

This paper cites Okuma, K.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Okuma, K

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.274299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.035285Z digest=sha256:e087b8b2578da104bc630e36e0d1bbe99772b1382384658e9571f6c068e66c24

Observation 2115a380-7cf1-46da-8f6a-3baf48eb3a90 · outbound

This paper cites Okuma and M.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Okuma and M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.119954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.043845Z digest=sha256:6073aedcae794e9a1f9dec0c88f2257aa764792d0586ffa95facfc5a88046b6e

Observation 2bf09e94-a658-4fd6-b478-61e672e9951e · outbound

This paper cites Reichel and L.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Reichel and L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:02.011174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.050689Z digest=sha256:73c1a8f926f526b9dafea39e337a9f409c6b5d0579e32330c5afbbdc94e7098f

Observation 30655d62-ec55-4b94-bbe9-a718b85bc062 · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:01.896608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.103298Z digest=sha256:cb9d865ab2c43eb548a56c9102d22e86e02990e47c485bd504fd4e873ccf810c

Observation 38abe1bf-a02a-4cf2-bc9f-388b5dc39fea · outbound

This paper cites an unresolved cited work.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:57:01.801912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.171033Z digest=sha256:ead86f370ae57ecad5f4c9a504e45a7c51e28cab5244604ec7030589c4624b46

Observation 23ad7485-6ca9-415f-89e2-e82194d33889 · outbound

This paper cites Yao and Z.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Yao and Z

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:01.691373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.219231Z digest=sha256:f8d99f5fb02e9065b6ffbc089f4139c65f08a4eae6d4bd94f8f107a310605a6b

Observation ac4f276c-492b-467d-99ee-8aca021c8c13 · outbound

This paper cites Zhang, Z.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Zhang, Z

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:01.572107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.249466Z digest=sha256:093a1a20c7f9243b6665817d9ecea834a9b4ace38fa7366bf457e8ba1810ea20

Observation eee07f9b-e616-4045-9180-f7e040a65e1c · outbound

This paper cites Zhang, X.

Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects Zhang, X

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:57:01.453934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:57:01.326036Z digest=sha256:e5e5fa6fe484765d5b662ca87ce32f3f0fce3c082610cd02c15b663538aa7180

Pith citing papers

No inbound Pith citation observations are available.