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Paper Citation Record · LEDGER

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2501.03157.

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

pith.paper-citation-record.v1
2501.03157 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:02:08.845860Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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 fuzzy9
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ec93879b-3b91-4f61-b8cc-4a271baad092 · outbound

This paper cites Avila, J.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Avila, J

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.701188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.701188Z digest=sha256:4cf11946ae83d989a0beae72c55f258e4eb9ae81a97b8b351807a27210998785

Observation 343a3e12-9959-4fc5-bace-cfca935b3ac5 · outbound

This paper cites Avron and B.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Avron and B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.401463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.706645Z digest=sha256:87e32cb5214d93f86929bbcddda7fe2fd607eaff47b2a64b128c8864ee316e18

Observation 7cea29e1-f4f0-4f02-a7f4-61fec80185e9 · outbound

This paper cites Bourgain and S.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Bourgain and S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.711476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.711476Z digest=sha256:0bf34991476f569406fce5fb9c0baef3db6d56f294aa1f43640168fd2af7d5f0

Observation 30e62d54-e6a6-446d-8252-e1fb8245f422 · outbound

This paper cites Cedzich and J.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Cedzich and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.363870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.721793Z digest=sha256:b5bfedec8b2db3d5d3e12c084924732392cef9107dedcd7ea85f51eb5d3cb7fc

Observation 40dd8691-a998-4204-8230-cf3595fc1334 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.348075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.726808Z digest=sha256:67f4c7c9165b48109897ac36a047a08d9b69fc476222d1d7ac2246e838ca9bf7

Observation f719e3df-ed3c-4daf-9a4c-a5ada7b1c6f0 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.331008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.732081Z digest=sha256:2b241a3f521bdb5680ad5d32aafb40c1c71e465e17e87598f94f3ee124872867

Observation fce79275-6198-4d1b-b76d-e633a18ad671 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.315161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.737498Z digest=sha256:b8838976e17deaf8fcad9bf1e442543fa779d160e5ccfd200469eff2aef8b350

Observation f6c6b7fd-5368-4d38-96b5-83639d1e3abb · outbound

This paper cites Damanik and R.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Damanik and R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.298618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.742497Z digest=sha256:1851b6634be49e7eed59d71221910bd8d77a95181068907fb932a02691dbb476

Observation 352f995c-d84d-4d9c-97ce-72dd5ff2b020 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.279971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.747742Z digest=sha256:b1408bf42bc7c503ba9085a8e16055641e908808897ddce962f6c9cbd901b438

Observation d5aa6e49-1f0b-417b-9873-d736deed4d3b · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.262169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.752637Z digest=sha256:151bde19090e399874aca1485f187a1a1671e1b8801903ad515d5edd7603cf73

Observation 393d3e94-dd2e-47e7-ae8f-e71a583bf400 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.757660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.757660Z digest=sha256:e60d1d24a5a4bc7bf5bfdbc253ad55820566417dd23a47248a8cc2da9c075905

Observation 65f93846-97c8-4b54-a955-29fd738c7784 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.245658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.762375Z digest=sha256:1fa3763fad4528f8dbe4e5e1047887a5769577ab626ebfe3dedc190b075e68d5

Observation 6c964979-b4ea-4141-b038-ccf9356d5ed7 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.228172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.767183Z digest=sha256:2191b61f5c4a4979b5895d05d430c753de81fe5a227670444a7d70780850616b

Observation 7cac0986-b345-4be6-9699-9852a9a38e7e · outbound

This paper cites Jitomirskaya and I.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and I

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.211148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.771921Z digest=sha256:4dd3057f6b87c29e0d97d7eaaff8691542aa652c2eb821555c5f490b6052cf6b

Observation ae8a2fdd-3c60-4cd7-abc6-72e67829c107 · outbound

This paper cites Sharp arithmetic delocalization for quasiperiodic operators with potentials of semi-bounded variation.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Sharp arithmetic delocalization for quasiperiodic operators with potentials of semi-bounded variation

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.776700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.776700Z digest=sha256:12a27ef838c92d2cada5bde6a7d40218b35c48a5951e4655d3e3f8458ecda99f

Observation 91036291-44bf-48ea-86dd-16e520fac980 · outbound

This paper cites Jitomirskaya and S.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.193334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.781825Z digest=sha256:dade8e502ffab1c02758795ca12139490216497105759ea7e4e3a1c8167161a5

Observation 6300358b-b555-4435-baff-84339b9adbb4 · outbound

This paper cites Jitomirskaya and W.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and W

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.786715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.786715Z digest=sha256:42dfae8695c7796c6b1e9b08183922d5e8dfce92a8179763631c877448a245e6

Observation 0629e72d-7062-48cc-b3df-1a40fe718b65 · outbound

This paper cites Jitomirskaya and W.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and W

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.792141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.792141Z digest=sha256:ac55766872482f434fdfb416528fd4c7e82d1ebd06cd5f6cf6120dc44eb3e0b1

Observation edc7c145-143e-4850-8c24-11e8d011efd3 · outbound

This paper cites Jitomirskaya and W.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and W

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.156532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.796989Z digest=sha256:9b9946bb1546de365eb9b8e4fcd0034e5befccbc387c7cd0dcc941512eae5dec

Observation 74164fc6-5f8b-4594-961c-fc00660832a7 · outbound

This paper cites Sharp palindromic criterion for semi-uniform dynamical localization.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Sharp palindromic criterion for semi-uniform dynamical localization

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.801867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.801867Z digest=sha256:4a1841e47519ca11b115fb96a79d5c32ab8b0474bddda000283671052ead3312

Observation 76f989bf-674c-449b-b947-ad39c8d585f2 · outbound

This paper cites Jitomirskaya, S.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.139247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.807356Z digest=sha256:f48824ab466262f80930b12c6df01c7490295eb9b9188d6633923f3f046ee245

Observation 572754c3-4b4e-4e01-8ebc-c9013ca36e60 · outbound

This paper cites Jitomirskaya and B.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.120036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.812013Z digest=sha256:392adbca1b98f877eb8265e795ba72d34eaac8b2e3cc163f5fc2c57dd0ab4138

Observation 0d72ac0b-334e-46af-9151-cb4e5f093ecf · outbound

This paper cites Jitomirskaya and F.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and F

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:02:09.103388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.816874Z digest=sha256:7fa74ec4bec203ad01f4b59831fe86fd577540e91a661b5877adc79ff026ebbc

Observation 481c3906-8667-45a0-b160-4e24a7cd437f · outbound

This paper cites Jitomirskaya and S.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Jitomirskaya and S

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.821710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.821710Z digest=sha256:9f34431cf8a6070436c2ed0e2f4e027a2379696a5bc67fb5cecfad58d30c46fb

Observation 59f70eb2-5111-4525-97eb-4147523446d0 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.826419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.826419Z digest=sha256:5720962bacddbabdc7e8fac06a8041fc71f06221c8a41557545df5bfb028281c

Observation b541ff47-b356-4d4b-866b-56e3a8700698 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.066260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.831367Z digest=sha256:0c12e4a77e61babf93ec1ccd6654eef0dd780f7bdaadbd01d392f131b56adb1a

Observation f12c74a3-0fa9-40e2-8b28-9fa5a599889a · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.048425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.836469Z digest=sha256:a3d104b99e5e446c513f531b8933ff77eacb719d4c9e17a960923212cb83d845

Observation ebfc88bf-cdac-4aa9-9d3f-cd2e7f2cb095 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.031491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.841288Z digest=sha256:35fedebf93d837754933893e75e0d68aefb28039a26f74c8f4f526fda1bc8f2b

Observation 385615a8-d743-4c11-817a-a917f73c0cb4 · outbound

This paper cites an unresolved cited work.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:02:09.012453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T22:02:08.845860Z digest=sha256:70553b47983573cf7c34eaf59860ae1b78037432ecaeee7616e1ea7f013f2bc0

Observation d8fe4ee2-8862-40c8-a68e-2a01b9ddb452 · outbound

This paper cites Dedicated to David Ruelle and Yasha Sinai on the occasio n of their 65th birthdays.

A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schr\"odinger Operators with Almost Repetition Potentials Dedicated to David Ruelle and Yasha Sinai on the occasio n of their 65th birthdays

Reference 1218

Resolution
unresolved
no resolver link, observed 2026-08-10T22:02:08.716437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:02:08.716437Z digest=sha256:39f860f396ee9bbcd4509646c99b26403025e86c2104ce7a8ec1aab39ac8809e

Pith citing papers

No inbound Pith citation observations are available.