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Paper Citation Record · LEDGER

Wannier-Stark localization, confinement and edge states

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2608.01902.

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

pith.paper-citation-record.v1
2608.01902 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:12:40.035423Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e803d7e0-6fdd-459b-b6c1-9d5191efb810 · outbound

This paper cites Hankiewicz, Hartmut Buhmann and Laurens W.

Wannier-Stark localization, confinement and edge states Hankiewicz, Hartmut Buhmann and Laurens W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.424965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.917427Z digest=sha256:b84006b35a824af519d1964edad62aa83e2b52794441b537504642a6dba217ec

Observation 644ae062-11b3-4fa5-ace9-6657d5974c54 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.414016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.921779Z digest=sha256:07af7a544e6aa9ca8a2d7da622e8b73c23416be68d9fd5d8837634d8372f15b7

Observation 0c57d69f-0f90-47cd-9f04-6e149c33b7af · outbound

This paper cites Wolinski, Ruihua Fan, Amir S.

Wannier-Stark localization, confinement and edge states Wolinski, Ruihua Fan, Amir S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.403500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.925876Z digest=sha256:f42d6486e204d43b39e2ff334ceb8f33c346577ec6bd7281ae90a641122468b6

Observation af1496d3-7537-4003-92ed-0e6c61032990 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.392206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.930435Z digest=sha256:3fc7da3fa7ee60cf4a48f4d5c0942a56c027d9a4ca050ebd12b65b1b29cd216f

Observation d2363052-cf8e-4bce-8fca-25ff35547bfe · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.381180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.934404Z digest=sha256:c3cb6472f252e1c901f1438dfc576a262edb560f675cc619730b77fbbb14949f

Observation d73edfb5-ddc6-4801-94ff-8ad5d790cdd2 · outbound

This paper cites Khanna, Y.

Wannier-Stark localization, confinement and edge states Khanna, Y

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.369671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.938447Z digest=sha256:cebde56c4dc642e9fa514ba9673f70d102a5c65c8bbcf12938afaab6053c87f8

Observation b313ecaf-e643-4974-8ea6-443a9ba4b2f2 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.358414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.942380Z digest=sha256:46873db3409029fe60f1a17be0c6fc66a7313145c74fde48e07da38e3dca0b52

Observation 8b12b089-4a06-401e-8dc0-9e9683d82922 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.347075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.947273Z digest=sha256:99ed86c2c4cb94be6662948a3e8693d076805feb07ed45b81e9bc8fb5689c112

Observation d52e1341-4027-4d02-811a-4b1e506c4a06 · outbound

This paper cites Heidrich-Meisner, G.

Wannier-Stark localization, confinement and edge states Heidrich-Meisner, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.336096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.951132Z digest=sha256:f8825b3069e50a0fe80d564638abddfb9eaf98da90f0ff59fb40003e93a4eac4

Observation 7f361646-8fdc-41c5-9081-1fa96d54fc33 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.324966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.954804Z digest=sha256:3ba97d6bda5fd90316f60c5bee3f072c3dac1be8f65b6cb30ad43fea07c1769c

Observation 0c429dc0-a663-4d4e-8b18-3f10c7c00cf2 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.313847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.958905Z digest=sha256:f84f0ab007d336f7dd8118ed6308700ae47770c6d6e8a3ad41b3af50b4410cea

Observation 59c2e19e-cc20-4517-b783-b090c848d441 · outbound

This paper cites Fukuyama, R.

Wannier-Stark localization, confinement and edge states Fukuyama, R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.302180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.962481Z digest=sha256:786a504f50d504ea004977dd3bc62560998b06850b74c230b5d45f9edb110b36

Observation 3676369b-cbc6-42bc-a9c7-586f0459f545 · outbound

This paper cites Abramowitz and I.

Wannier-Stark localization, confinement and edge states Abramowitz and I

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.290672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.966476Z digest=sha256:5a35f298a36648baee5c17738cf3b550e891fba9f21c07c62e379ffefb546962

Observation d67303f9-4075-4d7d-913a-72a4663aefb8 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.279232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.969970Z digest=sha256:6ae4744bd3b95d633586ea688d0926a22bcfcfe612db07d90136e5c89233ec07

Observation 898565cd-7550-4bea-bee0-95820cbc23e4 · outbound

This paper cites Bowman,Introduction to Bessel Functions, Dover, New York, 1958.

Wannier-Stark localization, confinement and edge states Bowman,Introduction to Bessel Functions, Dover, New York, 1958

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.267335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.973782Z digest=sha256:fecf0ad00dca22a30eb95c88ba80b9cf6269f33da5bac45c6e39144e4110d881

Observation 06b560e4-ff45-48b0-85f6-5d77370a14d5 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.255182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.977609Z digest=sha256:654ecdefde313be8bba3a371b92425a26e15e97089b2a3d09eecd77080a93aeb

Observation 19d131de-7ef6-45c3-9ad6-3dce07209be7 · outbound

This paper cites An introduction to effective low-energy Hamiltonians in condensed matter physics and chemistry.

Wannier-Stark localization, confinement and edge states An introduction to effective low-energy Hamiltonians in condensed matter physics and chemistry

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T15:12:39.981303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:12:39.981303Z digest=sha256:cdc0b80a23b5b7d1f381fb0d76566f97436f1b37cce0633fc1c14855701b0ef9

Observation bef40b48-568a-4cf3-80cb-f5785f4bff00 · outbound

This paper cites Aharony and O.

Wannier-Stark localization, confinement and edge states Aharony and O

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.243435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.985773Z digest=sha256:e6e9c27328362757213e28428e0ab5b2b69500ac387ef948572dfad04e20ab14

Observation 7b5f86a6-2dde-46b6-a560-7e34dea4e3f4 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.230090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.990019Z digest=sha256:58f00fb141677ca2fcce6aea17ff9b83152078f6c2be0eea8ab2a4cfc4f809d7

Observation e19aef33-8cfb-4883-bce7-79929f0916c8 · outbound

This paper cites Kettemann, editors,Anderson Lo- calization and Its Ramifications, Springer, 2003.

Wannier-Stark localization, confinement and edge states Kettemann, editors,Anderson Lo- calization and Its Ramifications, Springer, 2003

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.216249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.993819Z digest=sha256:b26cd223e439377eb28c2c0b1de6179a5681a71ff979551848033e6dc888d69a

Observation 6e2256eb-85fe-4ec4-8e21-6563b1f3ac64 · outbound

This paper cites Aucar Boidi, K.

Wannier-Stark localization, confinement and edge states Aucar Boidi, K

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.202638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:39.997617Z digest=sha256:28140b055eed4f8e34eec1413d17e0e7087ae082a4a7bfd1af98387d02623834

Observation 0911a250-ac41-436e-8533-8da080328aff · outbound

This paper cites Aucar Boidi, A.

Wannier-Stark localization, confinement and edge states Aucar Boidi, A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.189191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.001348Z digest=sha256:89134b8d0bf5faf8a95685daddec036ef395f9478bf989f4bb6cb6a3890d260b

Observation b862069f-004c-4298-a79c-b093708b8557 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.175971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.005390Z digest=sha256:823d1d5f18b3b393f59aaed97da6c4464a6ef202f99cb989a3ffe850db4074bf

Observation 86f50c59-d14f-4f5d-be00-f9af44d8e9a9 · outbound

This paper cites closed system.

Wannier-Stark localization, confinement and edge states closed system

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.163367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.009319Z digest=sha256:166cc4fa419a41249b39e577746887e4eda391f8329e17fde5323792f0917272

Observation fef51dbe-eec5-4520-8048-c4e2563b2ba8 · outbound

This paper cites II A for an even number of sites,N=2M.

Wannier-Stark localization, confinement and edge states II A for an even number of sites,N=2M

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.148768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.013227Z digest=sha256:e417cec5281098f6d7b8c5480b486eae2e5bac95de13cb543b4e9c6a79812df6

Observation a21aecdd-a02f-46ab-841d-7ccd742934ba · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.134651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.017073Z digest=sha256:0b575e09d47d1f5b27622db51e8b8056652e5c27e538dd80f3bae093b4b1bb94

Observation 972ba996-a8f5-4665-a398-7f3c8367464e · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.121936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.021496Z digest=sha256:be3032ef32b684eac17055a15f7d942b7ead0020070c348eedea496f1efe6553

Observation 90a9dc14-dab0-4dae-bd89-e79aee90902e · outbound

This paper cites [Hint: use Eq.

Wannier-Stark localization, confinement and edge states [Hint: use Eq

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.109710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.026145Z digest=sha256:61eb8dd1f061e9cee05c1763f48df340d37eab83b40fa3eebf0f9d55ecfd45c6

Observation 6eedd5e1-e2b6-410c-8dab-59b1184f2b58 · outbound

This paper cites an unresolved cited work.

Wannier-Stark localization, confinement and edge states Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:12:40.097735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.031119Z digest=sha256:970c4bcfa20faedff0ff0dbcf9ae9dfc9521852d449f13b9a3c9a3697d2444d8

Observation a6ecfa2a-f2c2-4dca-a80b-9b30b2718c67 · outbound

This paper cites VI, what are the possible values ofk ℓ′ for hard wall bound- ary conditions? (b) How are these levels filled at half-filling, whenNe = NN′?.

Wannier-Stark localization, confinement and edge states VI, what are the possible values ofk ℓ′ for hard wall bound- ary conditions? (b) How are these levels filled at half-filling, whenNe = NN′?

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:12:40.085527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:12:40.035423Z digest=sha256:a682fcce204419ddea9559b2b9f63993e934d8a8a602576a14445eb50adfb06a

Pith citing papers

No inbound Pith citation observations are available.