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Paper Citation Record · LEDGER

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2604.03880.

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

pith.paper-citation-record.v1
2604.03880 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T16:58:52.078241Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a770b111-7da1-4b50-bdaf-39060d260561 · outbound

This paper cites Mobility Edge for the Anderson Model on the Bethe Lattice.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Mobility Edge for the Anderson Model on the Bethe Lattice

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:08:01.195115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:cf5d757c52c79725a7162553c5bbe6eff2702e63f817bce6bc1a786ad4712e05

Observation 7153513b-677d-4834-a2f1-927b9f96a478 · outbound

This paper cites Aizenman, Localization at Weak Disorder: Some Elementary Bounds, Review in Mathematical Physics, Special Issue (1994) 1163–1182.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Aizenman, Localization at Weak Disorder: Some Elementary Bounds, Review in Mathematical Physics, Special Issue (1994) 1163–1182

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.382373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:089643507966c1e51d3292691c43ef0bd60425b06e97973ff15d2d008c952fca

Observation ffa1a7c7-7210-47b1-864c-da2250ae4861 · outbound

This paper cites Aizenman, R.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Aizenman, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.393626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:463ac879da9e2bcaabae1a4e29657e7aebfa0e1a86b15423bd5a5ee27e746c9e

Observation 1f7affd6-4d6a-41ad-9a28-62d992441fff · outbound

This paper cites Aizenman, S.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Aizenman, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.373420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:192f795ae4cfcc1088d7fc39ac08679e7e70f18f0cec6e0d09be6340f5f05be0

Observation 552ef211-37b3-44dc-9c91-b41b97957ca9 · outbound

This paper cites Aizenman, S.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Aizenman, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.360115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:fc886267d86c9a921df049325787d0020b0f125024b2e7083947c43ca069a63b

Observation 7b735433-421b-406b-bb13-d741dffd03b3 · outbound

This paper cites Abou-Chacra, D.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Abou-Chacra, D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.388322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:0696dcfa608b3293e4e100cf8e090f48e0c47f6b85d9c966e8b3732c19e351e5

Observation 55afc79b-fb86-475f-9b72-75f80949d534 · outbound

This paper cites Acosta, A.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Acosta, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.399042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:9000e0180242f788388e3d53b5d8ccd31f762f27a572b41775b29309865829fc

Observation ee5ddaf9-cfa5-4d5e-9ad0-d6433c09f0c8 · outbound

This paper cites Banks, J.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Banks, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.404473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:16bc86e076bfedba4e0e9c19ca95f372ac88c9fe81b3ca4319f7d00d0c6d9928

Observation 0089b104-bd25-411a-86ca-18be04662093 · outbound

This paper cites Bourgain, S.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Bourgain, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.376168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:096b8f6c6081b77b849ba607ff48921cf5aad0a7b2c21d34bb39e1a9c3f54983

Observation 8fabb7e7-504d-41fe-b54e-a1d13f445a7c · outbound

This paper cites Cycon, R.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Cycon, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.362962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:960353828e11bc86ff666fd2c1b6dc802eec2a7a2e4a740d456899e04870c92c

Observation 1866b143-caa3-4c8f-9c46-52b661516cbd · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.411976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:d754a2b2a170ee5fa74c58a3d881f2873c509432365e3c374dfc2ce37e331924

Observation 3def1686-4f85-46ba-9e61-01810646671c · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.406792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:f7a00a9fce1b5c1fbc6c041c3746b872be4cf05ffeeb1b624183f6835b342c7a

Observation a4baf52e-cd01-471b-a216-26c7930465c7 · outbound

This paper cites Drogin, C.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Drogin, C

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:08:01.197732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:902979495186ca26f658cd23b1f9a027cf2342c65a984b52e68ac0343c5b27a7

Observation 0904f4a4-cc69-4f91-9164-b1eb8d898227 · outbound

This paper cites Froese, D.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Froese, D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.396143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:6b35415cd8100c98927403740754a72aadbff591d74c071d28326626a1584f1b

Observation 62d3992c-1a0c-47dd-bbb0-f1655e349c25 · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.354032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:5071229887f451a8777e0a4a5142d12fb9a18ea51df3909dd18892f6902a6261

Observation 232e704c-3bcf-4313-933e-541096555385 · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.356788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:5076c1c943d818cdaa19a8c8aca40812024cd4841eaab32ab63225966a89d96a

Observation e170df6a-a52f-4c67-98ae-7f8aa77ebfd0 · outbound

This paper cites Klein, Absolutely continuous spectrum in the Anderson model on the Bethe lattice, Math.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Klein, Absolutely continuous spectrum in the Anderson model on the Bethe lattice, Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.401999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:358903c00d2a66d5ab9e33bb6f86552e5181b8cce037d99ac935031ae36647aa

Observation 01774279-db4c-496a-a513-37200968335b · outbound

This paper cites Klein, Extended states for the Anderson model on the Bethe lattice , Adv.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Klein, Extended states for the Anderson model on the Bethe lattice , Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.385375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:9fc78b2dbde511a07f4f5cd9690168cc6e8699b3cae9965dd484f1dea3545129

Observation c78cfe04-a508-4fc2-9d3e-b2c738b35d4e · outbound

This paper cites Klein, C.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Klein, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.370792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:b321ff1f284fa865f600177be8a485ea24c173b582def64a307ea08500964e46

Observation d1d43d7a-00f7-454e-9bcc-3b9061975e47 · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.414396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:52aa7b1a9020dca6457d81f33703cdacdf54eed736e0335ffb622aeb5a9ecf23

Observation 8bf542b6-94ce-40c9-bb4d-2550131a47f5 · outbound

This paper cites Pastur, Spectral properties of disordered systems in one-body appr oximation, Comm.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Pastur, Spectral properties of disordered systems in one-body appr oximation, Comm

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.368448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:60b7fe3038d74ab22d7ddc5c29b1164325f5f4ac71b42db147f035a64cf5b8b8

Observation 6c0f50f4-0b3a-47b2-94af-5f2dbfafe76e · outbound

This paper cites Simon, Basic Complex Analysis: A Comprehensive Course in Analysis , Part 2A , American Mathematical Society, Providence, RI.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Simon, Basic Complex Analysis: A Comprehensive Course in Analysis , Part 2A , American Mathematical Society, Providence, RI

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.409497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:dcf9b8770ce181f2dabadf088c999cb28eb9f209cd5069a05ea743fd72f9e5d1

Observation 3bb689fa-46de-490c-aabc-787dc1993973 · outbound

This paper cites an unresolved cited work.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:38:10.391061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:bf23541029274592709bcc2ca67915bf64e96631ec2295d7264b8ce9d02ba556

Observation 717112ec-d490-41b0-b357-4f5bbfb3bbbd · outbound

This paper cites Warzel, Surprises in the phase diagram of the Anderson model on the Be the lattice , XVIIth International Congress on Mathematical Physics (2013), 239 – 2 53.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Warzel, Surprises in the phase diagram of the Anderson model on the Be the lattice , XVIIth International Congress on Mathematical Physics (2013), 239 – 2 53

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.365738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:23f5984938d8d2ef1a356a75b97f1031f28b1c6423f55eb602584710d8e9c941

Observation d9826439-44ad-435d-8c7f-a0593cc48881 · outbound

This paper cites Zygmund, An individual ergodic theorem for non-commuting transform ations, Acta Sci.

Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula Zygmund, An individual ergodic theorem for non-commuting transform ations, Acta Sci

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:38:10.379031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-13T16:58:52.078241Z digest=sha256:ea50623a82ed012137401c8ae9d5b6ac03015524e6c2e68f514aacc2e29a074e

Pith citing papers

No inbound Pith citation observations are available.