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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.019049Z digest=sha256:a648f6112cdf86d2defa47e9680edccd5e289b84e5725bc7168fe856bc0cf9b3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.136635Z digest=sha256:8cac2551089fa03f3205bd84b3a07cc84d89aabd26d798df9295d56b53c3ca26

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.278204Z digest=sha256:c37d1f493b9c648b817d6d5f89f96e765e735de5ff8040df743573bd98bf5998

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.389300Z digest=sha256:f72d349e54d95b58a890cfe567857c9e78cfff4e5a8985fbbf9f3e7913621f3b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.529064Z digest=sha256:9d83cfd764623fec8f3e10b9517b8c89349d5cdf82f7b2f025f173dc285331c0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.634278Z digest=sha256:ecb22257b67db3dfbbcb085dd545ac1a9457944d8e70572cb3ea9da2be0ac044

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.751746Z digest=sha256:d11ff84f92cb999d0c9973663ef2c728097b2d2e6e73127dda2e739802fcb6ab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:58.891605Z digest=sha256:036226697b44405ffe51db4791dff294349e716a76bdda9536d776ddc5440249

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.058661Z digest=sha256:f6e31ccaf08d58218cd4fb4f256f2d08c5b78f48cb18a943c667b1ec6b01f054

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.140453Z digest=sha256:77340e4514c1dc509e7a1bdfff5054cf98703bcf48221b9739400127dfe6471b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.213216Z digest=sha256:46b0bf8e1800d8dc0e94ddca3ba838afe11b0c1fe3e5f4300cbd88c2b0a6c3c9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.290770Z digest=sha256:338b872b72f9a893c9913b0085a18f7052839f43c068616e540b6f1d906f136b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.407062Z digest=sha256:2862d1526b1f5452818b0b689c796d71c22eee97730751662027a35f230159c5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.540983Z digest=sha256:7701bfe5337f7f11ef2f1530b18754491d4ecc80285841c18b3bf39b7a1aa401

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.637191Z digest=sha256:9ec5d371f9cb6b7e09812f14f5960d9f9eb7f4e2a53fe39e9ee136300228dce2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.721999Z digest=sha256:d53c10628a14b68aeb484bb10d2f049f4703d2a75a5d6ce6619c12e391d4cdf4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.831888Z digest=sha256:54fb5b334681180a29677940abcac2529a6f9acaf9c5f97108e690340eab9198

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:56:59.929010Z digest=sha256:bbc6182a8bd09cf2239ce989d947d6ef0dcc9bc7d2db4e2c68792e3bb2a8228e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.032625Z digest=sha256:b0a27d44b903bb0b1d6125cfd4017ee12a37052b35ab396486ec33a7d8bc02b5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.169229Z digest=sha256:4d9947f19d5e58fb8307e5b23d42902297aa50173328cd0480901d08a12bd77a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.298375Z digest=sha256:2d811edbe45065496934e2dc9bc4892e256ec1a3849e3d48b848d13820801b54

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.401903Z digest=sha256:74087fb4fbf777d032c5322754bdb6d9ca5da8defa3f89a1209bd3cac46d24d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.513400Z digest=sha256:73c430c159a36fb299349d2cc3efdb4030b539e70af328d1ad5973ad253d1c5f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.615991Z digest=sha256:4b4072ae818b98a4bad85411db96ee0d620a7bee11c38321c85c4f82c92e982f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.723242Z digest=sha256:f17141f1bfe25a65e1c495648c67ce10d420be6cecfffd4ae78b76d3c7761f78

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.827366Z digest=sha256:bb20f29d530fb4718ce4222a9d8fd8503ebdfa202f169cf93de06f1720ea007e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:00.953916Z digest=sha256:16e2f1107d3b19b922459c1f4aec88c655d4ab226d943435d32d03d3425178cb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.035285Z digest=sha256:498b5e43df0d8b9fcf5e05da4840ca8de412b0177a65db3d140a1c00837b1b6e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.043845Z digest=sha256:0f94c68881f5482ee2b96b053a1e47a5079f460f3aa156afe12bfa6139471eff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.050689Z digest=sha256:c61fbad98deaf15e87c3a8297472fff5562fda146adac2d5273a04a0f7b0d194

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.103298Z digest=sha256:f1ff34f1327c9a581b49f6dd3eac160d50b0d339d8e0101fef23e8295e5c4b59

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.171033Z digest=sha256:8842787e6b9a671868a231ef9fb40053a2c6961bedfca215a8ae4b70959ad0fb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.219231Z digest=sha256:32b9fe055c5a7b8d317ec3372174a08844eb2ea2182ae157f929491027c553b4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.249466Z digest=sha256:55dd611bd440d099c52a6acf98280474ca69d2fb709c4e73c3e936adec45ed94

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:57:01.326036Z digest=sha256:2eb07d2895350dddc5434e35ad42f0986f11d72258dde6316d8d8c2cbecb13ff

Pith citing papers

No inbound Pith citation observations are available.