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Paper Citation Record · LEDGER

Wannier decay and the Thouless conjecture

As of 22 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2505.01999.

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

pith.paper-citation-record.v1
2505.01999 v1

Coverage vector

measured 76 of 76 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:34:03.035407Z

measured 77 of 77 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:56:49.918773Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T04:56:50.326762Z

Reference resolution

76 of 76 outbound references displayed

  • verified exact1
  • verified fuzzy20
  • unresolved55
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f9947063-d457-4a68-a704-5a4596c22536 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:04.105388Z

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=arxiv_source observed=2026-08-16T04:34:02.686889Z digest=sha256:881282ffa6eef606d1eec880f5ac2c6e7f0b25e67bab8caba12ff7134a01b450

Observation cad8ea3d-1c84-4d14-ac70-7915f9a455a4 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.692100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.692100Z digest=sha256:2fbd25f78cd70260122833a5708d30d11350ed53c35ae9e78dea5e81b1f141f2

Observation 26f7bdf1-63ac-408d-a34b-04733be0d8de · outbound

This paper cites Auckly, and P.

Wannier decay and the Thouless conjecture Auckly, and P

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.696535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.696535Z digest=sha256:e209a2ed301641e521469e518320edc9fc5fbaa37b7a63e8cc7c20e4cc6f507f

Observation 04e0d9a0-fc15-433f-b967-38ccd1565360 · outbound

This paper cites Ammari, B.

Wannier decay and the Thouless conjecture Ammari, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:04.061854Z

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=arxiv_source observed=2026-08-16T04:34:02.700881Z digest=sha256:021342d427780466134080a05d7900ec3c57b615478ef1cfe9fec8cd96d037ed

Observation 36ef0805-eabc-4015-beb8-5ba309520ba1 · outbound

This paper cites Becker, M.

Wannier decay and the Thouless conjecture Becker, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:04.043856Z

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=arxiv_source observed=2026-08-16T04:34:02.705127Z digest=sha256:45ef389cba0282c934b306e5a8d9fe06f426062833661e21ab8f11866c05e723

Observation 8f7afefb-c141-4ac1-ba79-755109e337e4 · outbound

This paper cites Becker, T.

Wannier decay and the Thouless conjecture Becker, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:04.026195Z

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=arxiv_source observed=2026-08-16T04:34:02.709746Z digest=sha256:efdc5f9b2c349f2ec2f9fef63d3507639eb470b01b30745ad2603d541aa4b79e

Observation 8c6c23af-4f12-43f9-8a9d-5e9300047e73 · outbound

This paper cites Becker, T.

Wannier decay and the Thouless conjecture Becker, T

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.714093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.714093Z digest=sha256:493193a4bdb5543b4a00458e2b4967db2511f78a3902d1453e0cd334676d2f77

Observation ba474ad0-35ca-4e7d-a4e0-0106b613484d · outbound

This paper cites Degenerate flat bands in twisted bilayer graphene.

Wannier decay and the Thouless conjecture Degenerate flat bands in twisted bilayer graphene

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.718513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.718513Z digest=sha256:160e6c6cb8ab95ec6b9ac0d9932f9d436767878a4afa1f108a06456f8fc3d353

Observation a64396b3-a771-451d-a9b7-4bea3450ae16 · outbound

This paper cites Becker, T.

Wannier decay and the Thouless conjecture Becker, T

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.723506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.723506Z digest=sha256:b71c9b79beb05e677cfe0155c220881ec47d9f786e9f5ec613d1b194ecb172a8

Observation 67d2680d-864a-47c6-8a66-f2c62730edc4 · outbound

This paper cites Becker, S.

Wannier decay and the Thouless conjecture Becker, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.986614Z

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=arxiv_source observed=2026-08-16T04:34:02.728823Z digest=sha256:201928246abe4c2c05085eedc4f0d421c47a633e26a7a0d2447be3a4b26572f9

Observation b75ea1c2-6da8-48ab-ad0b-cca08ae44406 · outbound

This paper cites Becker, Z.

Wannier decay and the Thouless conjecture Becker, Z

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.968382Z

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=arxiv_source observed=2026-08-16T04:34:02.733693Z digest=sha256:950f6aa8cfe3bb76173adb2bc8b45452044207e86b1bde8f2f587e5f0a72750d

Observation d557c49c-9053-4060-a0fe-cda66a2522a0 · outbound

This paper cites Becker, and M.

Wannier decay and the Thouless conjecture Becker, and M

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.738518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.738518Z digest=sha256:41f47abaa63249ddee12a3c756ea04e8bbfa0c3ae12d09974ae251411d7bd5e0

Observation d7712179-543a-488a-8d96-41d9dcda44bc · outbound

This paper cites Bistritzer, and A.

Wannier decay and the Thouless conjecture Bistritzer, and A

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.743094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.743094Z digest=sha256:f61474d249a65176e5f8fb003042caaa1d7aa6385e48b81d8f41907b602fe951

Observation 9b392515-cbb3-4e13-9475-c4219e1c3106 · outbound

This paper cites Bott, and L.

Wannier decay and the Thouless conjecture Bott, and L

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.747875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.747875Z digest=sha256:ee8a6ff2166acd3d381a12e015c846a4bebe64f7c64a9c1e7bf4eda0150e5559

Observation d42f05a2-7a5e-4e21-829e-73c1743951b5 · outbound

This paper cites Brouder, G.

Wannier decay and the Thouless conjecture Brouder, G

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.752417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.752417Z digest=sha256:981e1b24987332ae5fbddba99d1fe04249442d5285a618dc5ea8a40ee47b9d09

Observation 71a6172c-c2d9-41d5-a6b7-05b887ed121f · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.757246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.757246Z digest=sha256:e1ebf8b64ae1951533ee32cda01a13ebc758f930df1b5f186e2f139a011e1ea3

Observation bad1722c-23de-497d-9ab7-31f8277f5fc5 · outbound

This paper cites Cornean, D.

Wannier decay and the Thouless conjecture Cornean, D

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.761905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.761905Z digest=sha256:d827d8bc534f34c3ffe4e4e0bf2370df68deed30de26f169609bb358281d1ff8

Observation 2914a01b-482e-455f-bb59-cbddd8d83f79 · outbound

This paper cites Canc\`es, L.

Wannier decay and the Thouless conjecture Canc\`es, L

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.882435Z

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=arxiv_source observed=2026-08-16T04:34:02.766743Z digest=sha256:b93c12e694e72dbfe6e16948ea9821be3f3df51626cb9f72256f5f847d1141ca

Observation 1f06a08a-1b9e-4fa5-bdbe-2888620daf0d · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.866375Z

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=arxiv_source observed=2026-08-16T04:34:02.771584Z digest=sha256:91d71b52b8e39436b6d6e07dca0505b8e4e9fee9fd798cb3e99e4b418b268595

Observation 0c223ff1-a47a-4dc8-93df-b3e4bfaba010 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.851495Z

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=arxiv_source observed=2026-08-16T04:34:02.776288Z digest=sha256:19927a0216705b70b3e793d7e290a5caeb74d7398ce4ecd31e8e13d8d6c05810

Observation 8a884b57-ff7e-4b2b-8f39-2466c66d98f5 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.836635Z

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=arxiv_source observed=2026-08-16T04:34:02.781271Z digest=sha256:f8db734e245ef61a0e84047fb982238900fde20f23507a1b4f3e4c6eeb54b38c

Observation 885c8502-f563-4bca-81e7-4c4f4223bef5 · outbound

This paper cites Cassier, and M.

Wannier decay and the Thouless conjecture Cassier, and M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.820239Z

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=arxiv_source observed=2026-08-16T04:34:02.786247Z digest=sha256:e8ec9029946635eea9681bda4887adb7691dbccc7c61900e48b5075de20d9531

Observation edb0917f-c82d-4491-acbd-ed3d772170df · outbound

This paper cites Cazeaux, M.

Wannier decay and the Thouless conjecture Cazeaux, M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.801768Z

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=arxiv_source observed=2026-08-16T04:34:02.791438Z digest=sha256:7ff9981d182b32f5d0bec74121f12ee28454e4c91eed4dbfba55221dea4d0c99

Observation f938ee7c-ff7c-431c-99e2-ec0b8d0ac635 · outbound

This paper cites Dubrovin and S.P.

Wannier decay and the Thouless conjecture Dubrovin and S.P

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.783105Z

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=arxiv_source observed=2026-08-16T04:34:02.796119Z digest=sha256:8df0d4e7b9cb6562bbdad9eedbca0335d4d4c064d0a93c1a3c431f23774c50a7

Observation 5d5f669f-61b1-452b-acd6-db961e188c6d · outbound

This paper cites Dyatlov and M.

Wannier decay and the Thouless conjecture Dyatlov and M

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.765108Z

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=arxiv_source observed=2026-08-16T04:34:02.800875Z digest=sha256:7a8dfc32b192e62cba26d5017a751bd4c70b17e7f551fe85ca79358a2872a05a

Observation 313e762a-9d2f-45fb-802b-bfeb59cddde7 · outbound

This paper cites Fefferman and M.

Wannier decay and the Thouless conjecture Fefferman and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.745310Z

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=arxiv_source observed=2026-08-16T04:34:02.805586Z digest=sha256:dfe8e86f317178d3ff1ea17a63421598692ad4e3c2cb270019e5e7005cbaad45

Observation c2e82c2a-ea83-4e7c-a3c1-06124d9dbd62 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.728206Z

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=arxiv_source observed=2026-08-16T04:34:02.810761Z digest=sha256:ea3b3093f24669db35bfd8399e40c181b19e8af694110f82c3d706db21c2a031

Observation 340634f8-a9b6-4d5f-a630-b9a069292284 · outbound

This paper cites Fiorenza, D.

Wannier decay and the Thouless conjecture Fiorenza, D

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.816008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.816008Z digest=sha256:47fad87dcaec05e02d6bb3172886164d3e5aa2315a99872542086d5fc3e65c79

Observation 3e26d68c-47ad-4074-bb17-ed0ecb13017a · outbound

This paper cites Fiorenza, D.

Wannier decay and the Thouless conjecture Fiorenza, D

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.821017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.821017Z digest=sha256:9733fa6d6797edd86590fcf80bb48d9e96e7f47e06a961053c24c1ee7335ddf4

Observation 70301805-adba-48e4-b38e-505b8e1e1385 · outbound

This paper cites Fu, and C.

Wannier decay and the Thouless conjecture Fu, and C

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.825299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.825299Z digest=sha256:5c929ce69746f9f2eaa1fe0fc6b64cfbfc980f9ee2998e5b25e1d7eea90e533c

Observation 1a73d298-8074-4723-ae54-2e52ce2ec5cb · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.829661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.829661Z digest=sha256:70d3d900d483c62bd3ca68a8efc5172e6ba7547abf7a7ba30f2c50667996c7ad

Observation c0f0eae4-96dd-4a47-a99d-805b0894117b · outbound

This paper cites Galkowski, and M.

Wannier decay and the Thouless conjecture Galkowski, and M

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.670845Z

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=arxiv_source observed=2026-08-16T04:34:02.833919Z digest=sha256:7c355ae2e2dbb2fa5412497a2d46d460c8d3a55fa7b504b988254d7ceffd9e8f

Observation 68c66172-1635-4d39-b4e0-81b3658ef29c · outbound

This paper cites Husemoller.

Wannier decay and the Thouless conjecture Husemoller

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.838186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.838186Z digest=sha256:4f6ae69849b550404930b65c5f611a8cd29e695641306eaf0abeeae42d729c06

Observation 6eb18491-ef77-464d-aae4-56f17f0a3123 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.643924Z

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=arxiv_source observed=2026-08-16T04:34:02.842078Z digest=sha256:4e10bfee2f737183a0b16ae8bb29f9576dd73b20e320f9513cbc6aee3597ec5b

Observation 0b1e82f8-c252-4b80-b94a-ee4ffc50bbae · outbound

This paper cites Guaraldo, P.

Wannier decay and the Thouless conjecture Guaraldo, P

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.627022Z

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=arxiv_source observed=2026-08-16T04:34:02.847103Z digest=sha256:4e55d9d7606a45fec1a6aa7ad771b542d97986fff2068676a391614343001107

Observation f7e0f64c-c95e-4632-9a93-941611acbe68 · outbound

This paper cites Guillemin, and A.

Wannier decay and the Thouless conjecture Guillemin, and A

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.611355Z

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=arxiv_source observed=2026-08-16T04:34:02.851418Z digest=sha256:a511eb2d993492fc959b6f9b9efe4b067b4daeefae940fec7c3b6d09b2929003

Observation 3ad1cad5-af8d-4e52-8881-d7624e096f6d · outbound

This paper cites Kane, and E.

Wannier decay and the Thouless conjecture Kane, and E

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.855731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.855731Z digest=sha256:24b33e65bf580dd317e8bdbf088e24ba38298cd8e2d15ee45cec108622a046bf

Observation 62e699e3-7f54-4ee2-aba7-61c66a5d9fa8 · outbound

This paper cites Kato, Notes on Projections and Perturbation Theory, Technical Report No.

Wannier decay and the Thouless conjecture Kato, Notes on Projections and Perturbation Theory, Technical Report No

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.582919Z

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=arxiv_source observed=2026-08-16T04:34:02.859881Z digest=sha256:072f7c4b472ffaf362f8d3edc717cd88141028592a8399a5d5dd9dde1ae59881

Observation 4fcb8423-fb2a-4c9b-8946-d4470948f60b · outbound

This paper cites Kato, Perturbation theory for linear operators, Springer Science & Business Media, 2013.

Wannier decay and the Thouless conjecture Kato, Perturbation theory for linear operators, Springer Science & Business Media, 2013

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.566737Z

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=arxiv_source observed=2026-08-16T04:34:02.863999Z digest=sha256:9d77f01495a66befc804b273ea550142bd27723249def1a08f81cd0b98ff18d0

Observation 0e186267-8c7f-432d-ad5a-b562022393ba · outbound

This paper cites The Stiefel--Whitney theory of topological insulators.

Wannier decay and the Thouless conjecture The Stiefel--Whitney theory of topological insulators

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.868212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.868212Z digest=sha256:b4937c55078b48c0eaefdd7d67841ef4693299717a15a8feea2b6b0ff360c1aa

Observation 0b857eb5-b45e-43f1-98c5-354b9c85573d · outbound

This paper cites Kuchment.

Wannier decay and the Thouless conjecture Kuchment

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.872804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.872804Z digest=sha256:f106b63c85906faf8b7b3409079e360bb9a64c9a70f21318264415a5e8d083b2

Observation 04d27a12-652f-44c5-98e8-d530684a8dda · outbound

This paper cites Kuchment.

Wannier decay and the Thouless conjecture Kuchment

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.877421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.877421Z digest=sha256:7447372dd2ce5186836842a0b141bf45d8313186ff3614b3657da4302877a9b0

Observation 9f3c87ef-e686-4970-8c7d-81fbfd9a9d41 · outbound

This paper cites Lu and K.

Wannier decay and the Thouless conjecture Lu and K

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.886582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.886582Z digest=sha256:79a4292b878d88bdaf8182e93216417c1e2c2d26fff35293abe052a89588da66

Observation aff985b7-19b6-43b3-867a-17e925bab8c6 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.890704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.890704Z digest=sha256:86e1ad5395ebc6b0b0d9771af6c6844a5c6833d9c30bf66736717ee8e6661353

Observation fecafcd0-8c7a-4301-8166-878dfbc079e1 · outbound

This paper cites Marzari, A.

Wannier decay and the Thouless conjecture Marzari, A

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.894897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.894897Z digest=sha256:99603eab24e39d28b18e3d781ae5956d0c4d74a0fb8dafd825a73870896686cd

Observation 43b9d0b6-7c90-48ff-ba16-3206e85f778c · outbound

This paper cites Marzari, and D.

Wannier decay and the Thouless conjecture Marzari, and D

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.898780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.898780Z digest=sha256:d0c1e1c612de6a46bea1279bb1e6b9c9a72b7b0820721fd21fb323b9535644bd

Observation 0f052954-c583-42a8-8621-1299d8a900c0 · outbound

This paper cites Marcelli, M.

Wannier decay and the Thouless conjecture Marcelli, M

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.903306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.903306Z digest=sha256:ae623ef2804dd57fc024521ca86665a456b2177ca503a969f2f7e7d0ef4b582f

Observation f029e770-d9c5-4a9e-9ff2-bb3e32e5d31d · outbound

This paper cites Milnor, and J.

Wannier decay and the Thouless conjecture Milnor, and J

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.907972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.907972Z digest=sha256:eefbfc28e59b5f2ca5329de99fbb92d3594327197f97342587bf04e45611d2e7

Observation 706e7b8c-e82a-4865-86bb-790ab6d9f8e0 · outbound

This paper cites Monaco, G.

Wannier decay and the Thouless conjecture Monaco, G

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.912630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.912630Z digest=sha256:3751f607fb8902ce6322312f688835dff4a75a3ae632bc30462d91ff906ce470

Observation 55e53db8-78d0-463a-9029-99b9f7ba25b4 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.917927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.917927Z digest=sha256:af7fe45485568952f661fe61ab453338f63c00a0b857102506f8e0149eef7bd9

Observation d288e63d-2f9a-4e53-a9e1-1badeaee66e3 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.444347Z

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=arxiv_source observed=2026-08-16T04:34:02.922866Z digest=sha256:7d33cdd7b0720e5364be98b71386bfe75c5b59ada143625943b8be30272b7fb0

Observation f4a02b50-1a22-49d1-becb-2b8db76e10f1 · outbound

This paper cites Kuchment.

Wannier decay and the Thouless conjecture Kuchment

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.427764Z

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=arxiv_source observed=2026-08-16T04:34:02.928122Z digest=sha256:2c1e5fc78df55acc933b2f5e183d469f1062ad3531688e2640c0d1a075dec51f

Observation e653c1f2-8532-4b3b-b0ca-0048194746b0 · outbound

This paper cites Krantz and H.

Wannier decay and the Thouless conjecture Krantz and H

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.411312Z

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=arxiv_source observed=2026-08-16T04:34:02.932469Z digest=sha256:34b9faa5acb37984f7d8802effe3c6a688b3557a7c6174ba05e895057992555a

Observation bb4c2df2-98bc-48d8-a2d2-040b12a11629 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.395737Z

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=arxiv_source observed=2026-08-16T04:34:02.937062Z digest=sha256:a379803244a061cc41dae6f8844a4c7cd04fabb4293d79a7b668603c4fdc0123

Observation c1a3b650-07cd-4301-8348-f8b0ab9cacf0 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.381782Z

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=arxiv_source observed=2026-08-16T04:34:02.941978Z digest=sha256:ee99a96e1752add1cf0faa1e64a2b1c2c76dbd942bed69fb7a3ce761ddc71b56

Observation b153c0b7-d01d-4686-8383-1fffad211aff · outbound

This paper cites Massatt, S.

Wannier decay and the Thouless conjecture Massatt, S

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.367311Z

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=arxiv_source observed=2026-08-16T04:34:02.946522Z digest=sha256:f6f74fc818e563d66d9ccce916e81ebfe1126378e6b29d37a701fb5a23f92947

Observation c21232ec-7497-404e-8cd3-36e31b7f9240 · outbound

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

Wannier decay and the Thouless conjecture Constraints on real space representations of Chern bands

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.951008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.951008Z digest=sha256:a281b1f31708d6e909d16963f4df05c88a355e24eed76922f2c510927fd23dea

Observation b64f6f18-4244-4680-81b6-dadab11cbc91 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.955729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.955729Z digest=sha256:e9ca34169f0d872b172eff0919b428e3ceca28a10a7e6f3035682c085cb86cbd

Observation 2fb0b448-add1-4ce2-9ff7-f9464688ef67 · outbound

This paper cites Peri, Z.-D.

Wannier decay and the Thouless conjecture Peri, Z.-D

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.960295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.960295Z digest=sha256:457d7effe66b14e3bf849b935a1e9728e7f2ce5edad1ac4c167ef1185c8296ad

Observation 7fe9e61a-2a67-452b-bf91-c60f2b4416ea · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.964759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.964759Z digest=sha256:b8cd5de9eead0119656f850daa9373234e4208158c7f1441a2d8da16f2d23e7a

Observation dec9c684-acd6-44b0-b39b-8587f47a33c0 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.968733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.968733Z digest=sha256:4f7b5120139deba9493c00196649d35b03e3e2b92f4200de911843a6c5d7a73a

Observation 21b07a7a-9852-4d97-a45c-27f6f94980fe · outbound

This paper cites Construction and Accuracy of Electronic Continuum Models of Incommensurate Bilayer 2D Materials.

Wannier decay and the Thouless conjecture Construction and Accuracy of Electronic Continuum Models of Incommensurate Bilayer 2D Materials

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.972740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.972740Z digest=sha256:11c079ca88f3df68113e7fd2ef4e30fd89ab98ebc8b0ec62d99bcee94af2d4ae

Observation b34e2f64-bd30-4229-80fe-bc940c27d874 · outbound

This paper cites Simon, Notes on infinite determinants of Hilbert space operators, Advances in Mathematics.

Wannier decay and the Thouless conjecture Simon, Notes on infinite determinants of Hilbert space operators, Advances in Mathematics

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:34:03.311178Z

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=arxiv_source observed=2026-08-16T04:34:02.977064Z digest=sha256:04c8468d1ae07b81da32322195e88466e7864dcb47e3b473faa2ae77d0cda2dd

Observation ff850aa9-5b64-4f66-a9f7-7ed91d209427 · outbound

This paper cites Sjöstrand and M.

Wannier decay and the Thouless conjecture Sjöstrand and M

Reference 65

Resolution
verified exact
doi, observed 2026-08-16T04:34:03.077159Z

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=arxiv_source observed=2026-08-16T04:34:02.981087Z digest=sha256:573ea5d348dc53239a215a53aa7b1a5cedb1d5c47d498f7e526f4272cc7c459b

Observation 57074aa7-4223-4e0a-8111-f117dbcad240 · outbound

This paper cites Algebraic localization of generalized Wannier bases implies Roe triviality in any dimension.

Wannier decay and the Thouless conjecture Algebraic localization of generalized Wannier bases implies Roe triviality in any dimension

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.985204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.985204Z digest=sha256:262481a5cb4ad1023d2d444031544c5643b7124e3345ed8188e285f977b40621

Observation c6dd23e8-16fd-428a-9dab-5d78fad4737a · outbound

This paper cites Schenkman.

Wannier decay and the Thouless conjecture Schenkman

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.989915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.989915Z digest=sha256:b3b47b556d52c196397546cb7e33d03028c840bbdabb2697ffb028740a9ae74b

Observation 22b61944-d4ed-49b5-9d01-23f6b23e94f6 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.994012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.994012Z digest=sha256:8a44822ab35e611da436fda1896fa7b8486c43f063dc3763ad457db88154746f

Observation c01e5c7a-d07f-44c6-93e4-36e0975a9822 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:02.998179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:02.998179Z digest=sha256:7240e0eeb38746064d820445839b70c18af26a4eab1a1d617e21689aaf09b401

Observation 96f8ba40-939f-45f1-8dd9-ff0ed1d9b60f · outbound

This paper cites Tao, and M.

Wannier decay and the Thouless conjecture Tao, and M

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:03.002536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:03.002536Z digest=sha256:6317bdb56653884370320e606d362cedcf3b03dc7674f2dd790fc6a8b85eb048

Observation b588d371-9326-45e0-8911-f9d202bde18c · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.255021Z

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=arxiv_source observed=2026-08-16T04:34:03.006938Z digest=sha256:a826f1603298d85e23646a07cf278c5e9339553fa14e449ca570341f08ba4096

Observation 10deea8d-fa90-4d70-84a6-70b7655b7c8f · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:03.011250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:03.011250Z digest=sha256:8bd5d9bb928d3d55f4e0b812a413b71b694967912a1a9dc6dfa6d17ca7d48002

Observation 661af3fa-1739-42b8-b97f-b5492838308b · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.228140Z

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=arxiv_source observed=2026-08-16T04:34:03.015626Z digest=sha256:3ab1116bf0a50e894ec3404e6f20dc006a60f70d05833af974c5749ae86528bf

Observation 5f80ddeb-96e8-40c9-b61b-88b442fd8bb0 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.212062Z

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=arxiv_source observed=2026-08-16T04:34:03.019812Z digest=sha256:6430f8da92b21fe41d707a2cbfb944bf58b7e514e9f08a2dc5794e163a4d7769

Observation cc6a359e-25ec-46be-b4a8-1e751475a9cd · outbound

This paper cites Watson, and M.

Wannier decay and the Thouless conjecture Watson, and M

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:03.025031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:03.025031Z digest=sha256:1170fcf7065d7e5bda090c2e2e193bba218f045b069f6af201414e3e4dd5d370

Observation 0f5b3926-0475-4e26-b6d3-c10c1c831d40 · outbound

This paper cites an unresolved cited work.

Wannier decay and the Thouless conjecture Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:34:03.186213Z

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=arxiv_source observed=2026-08-16T04:34:03.030597Z digest=sha256:4eced58f58e3f5458107afb827e5ef84e1de2a4644714e0e478fac6b93a923ea

Observation 089dd614-7c8d-4636-af12-3939969b389a · outbound

This paper cites Zworski, M.

Wannier decay and the Thouless conjecture Zworski, M

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-16T04:34:03.035407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T04:34:03.035407Z digest=sha256:589c1d3021fab30810904121e8cccd5b4cdd3691efed75e14c2acc2891a4dc54

Pith citing papers

Observation 5a0f9b8b-8f1d-4dc3-8a11-aad95367b2c5 · inbound

Fragile topology on solid grounds: a mathematical perspective cites this paper.

Fragile topology on solid grounds: a mathematical perspective Wannier decay and the Thouless conjecture

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-09T04:56:50.332404Z

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=arxiv_source observed=2026-08-09T04:56:49.918773Z digest=sha256:1cdc718574b4f8226528368bb37672e97f31d2ca9e43d06fd79371042ee5c34b