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Paper Citation Record · LEDGER

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2505.07129.

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

pith.paper-citation-record.v1
2505.07129 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:40:06.000074Z

measured 28 of 28 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:02:16.185750Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T17:02:16.250796Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21f9a0b8-3d13-448f-91ea-91f98eb74292 · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.885749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.885749Z digest=sha256:bc63f91876df2747448fe0d9fb652df7c06042cc223764ea863002ba51e6f486

Observation 55b63fc2-8df6-417a-bbc0-ebeaa4e7532d · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:06.379471Z

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=2026-08-15T22:40:05.890687Z digest=sha256:42e10d9fbc43a45816b60cc1f73cc6135eebfdac7cbb5e2d1e2ad5296686e732

Observation 0c013de2-a092-43c7-a57f-776d36b0cf55 · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.895049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.895049Z digest=sha256:e3d0da8dac03c950c8e06f506abbbb308413a76eceefedfafb8c03da82c80706

Observation 2c718210-143d-4e41-b8c0-d73b01b97028 · outbound

This paper cites Damanik and J.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Damanik and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.355630Z

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=2026-08-15T22:40:05.899333Z digest=sha256:6e49bfc3dff5a495527b28d3be89d6abe23eaaf353adbe34ccdc4c5760060aee

Observation 053b5b1e-f702-4d02-91c4-ef0e3f611ea5 · outbound

This paper cites Damanik and J.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Damanik and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.341985Z

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=2026-08-15T22:40:05.904145Z digest=sha256:53918425f5c08f0a986b83db82693de3a5313d6cf685394f2a706d44fbe4a864

Observation e6826e0d-95c8-4677-bc9a-e520c02f8ed5 · outbound

This paper cites del Rio, S.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators del Rio, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.328940Z

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=2026-08-15T22:40:05.908511Z digest=sha256:697ee0254157243c2c5994bee351890f9066f0d33b3108fef0ef452caa113091

Observation 96b9e6de-d9f9-4f56-a76a-a857dd9328d6 · outbound

This paper cites del Rio, S.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators del Rio, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.316108Z

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=2026-08-15T22:40:05.913175Z digest=sha256:1a996cb537a5fa46243617b466f921e7ae8172d40d4b18728ad1eff9d35513ba

Observation 42ef1c2d-2efc-4ac2-93ee-09275a142ba9 · outbound

This paper cites Damanik, R.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Damanik, R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.302233Z

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=2026-08-15T22:40:05.917631Z digest=sha256:934a18ac90b3ad03c6c9830b644f17f664c3a687a55ec12c1104f663bd04e816

Observation ae351e70-abdd-449a-9bfa-807ca65ad5c2 · outbound

This paper cites del Rio, N.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators del Rio, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.288505Z

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=2026-08-15T22:40:05.921837Z digest=sha256:7c0b79d81d6035c24e80af9e1a0bcb29ee5bc2dc0a75df860f5407acda4a9bde

Observation 81366c56-912d-4e37-8cbc-8e58da0e3faa · outbound

This paper cites Damanik and S.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Damanik and S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.274794Z

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=2026-08-15T22:40:05.926076Z digest=sha256:11fe5566780ce8ecf58bb2051874c09f1efeaa75bbe69359957ac8ddc60a5968

Observation fb58d2de-51d8-4db6-8e95-4f1d39b69204 · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:06.261021Z

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=2026-08-15T22:40:05.930388Z digest=sha256:22686b9801d5cd26d2c0c0324ddba7a0b8e28f12f0a972103066cefa2bbb8dd0

Observation b71fae0e-99a4-469a-9e86-1628e5c3b2eb · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:06.245734Z

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=2026-08-15T22:40:05.934623Z digest=sha256:bf85faa5e1cd2e2be5e6e25eb8a0388fd1b62d2547f03d7521c0a65d2b4ab83a

Observation 0166e18c-73b2-4375-a9f9-7bb2a476f962 · outbound

This paper cites Guarneri and H.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Guarneri and H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.231456Z

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=2026-08-15T22:40:05.938974Z digest=sha256:8f66b04a07c76da16274ee5c0d78e17ea21963083abe42115317f5f2d16cfcc3

Observation fd61f0ab-fbad-4ad3-b9f5-a280eed29359 · outbound

This paper cites Sharp arithmetic localization for quasiperiodic operators with monotone potentials.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Sharp arithmetic localization for quasiperiodic operators with monotone potentials

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.944084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.944084Z digest=sha256:72ea95da9326965ac07edd0acf767004c65e735e23bb5313d163f45898c6c2d0

Observation 78e775b8-a69b-47f8-906e-6f3af92ad9a4 · outbound

This paper cites Jitomirskaya and Y.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Jitomirskaya and Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.217967Z

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=2026-08-15T22:40:05.948829Z digest=sha256:7177389448c128cd3da50024dc83f06c6c9cdf5c162f9ee5109ce01f0af0030c

Observation 54595503-9cd9-4bfe-8cca-91e8c18ebc92 · outbound

This paper cites Jitomirskaya and Y.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Jitomirskaya and Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.204482Z

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=2026-08-15T22:40:05.952879Z digest=sha256:dc36ea7e53c0ef834ce21766c7321463b0691c7e413a61d3f3f474ce755eeef7

Observation 03eab6af-49ba-4e0d-82eb-98583e6f2180 · outbound

This paper cites Lower bounds on concentration through Borel transforms and quantitative singularity of spectral measures near the arithmetic transition.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Lower bounds on concentration through Borel transforms and quantitative singularity of spectral measures near the arithmetic transition

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:40:06.078125Z

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=2026-08-15T22:40:05.957563Z digest=sha256:31fdcf3e58aca4d01ddaf9b4877097954ce966072b89572826c531be8c0ca414

Observation 8a43b23f-3371-4cda-a199-f426a5088e6b · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:06.190541Z

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=2026-08-15T22:40:05.962327Z digest=sha256:9e443fbd74a48d257eed3eabc0ead8809cc62c8d68c3de54c31822c30de13667

Observation 98d886c5-057d-4bab-b23a-f3af90759807 · outbound

This paper cites Kato, Perturbation Theory for Linear Operators , Springer-Verlag, Berlin, 1995.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Kato, Perturbation Theory for Linear Operators , Springer-Verlag, Berlin, 1995

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.966556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.966556Z digest=sha256:ce917ba1599e7219fec4f971442e4e0e68b0946fae6e5758cdd7c42b10a5e05f

Observation 2c28b880-d918-4bf7-b854-9dd723e9722b · outbound

This paper cites Killip, A.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Killip, A

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.970624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.970624Z digest=sha256:77e99c3140e3328fc8e775c15b01a1e20c350202328b0ee212ca1ad1938ea83a

Observation 4cf271cc-da6d-492f-ad68-57a0f065ed04 · outbound

This paper cites Khan and D.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Khan and D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.159929Z

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=2026-08-15T22:40:05.975005Z digest=sha256:2164ffddb9072d7b6afdccfcf8527e9706ecad87b3bba0a2ed24b08a4c1bfbdd

Observation 12baea44-f9e5-4a7d-98c1-5d9ad0a0c80a · outbound

This paper cites On gaps in the spectra of quasiperiodic Schr\"odinger operators with discontinuous monotone potentials.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators On gaps in the spectra of quasiperiodic Schr\"odinger operators with discontinuous monotone potentials

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.979009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.979009Z digest=sha256:4e669a3d1ad310d5c879b69bb34de012220868c5f63904e93491e4706eda6fb5

Observation 460264eb-256a-4df3-a1d3-bf18712b6850 · outbound

This paper cites Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:40:06.039970Z

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=2026-08-15T22:40:05.983475Z digest=sha256:11e0632337d842cf35f50732c7b98275d185ef7994bfe59c4e17e0982c5517cf

Observation 01ffefbb-1c05-4b00-b374-1f426b3c58e9 · outbound

This paper cites Last and B.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Last and B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.146321Z

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=2026-08-15T22:40:05.987999Z digest=sha256:f9907066c18b3624035ac560ed245f006f5cb5fbe37e8fca6ec19f8d8ca7a4c7

Observation 27c76910-507b-4daa-becd-4540543e0c70 · outbound

This paper cites Reed and B.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Reed and B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.132141Z

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=2026-08-15T22:40:05.991859Z digest=sha256:157940f294dca19c2b7e99d5f52d27343322e099693cedcde24a01d066c0ceab

Observation c638db73-f1ab-4742-8e6b-d7e26c2651cc · outbound

This paper cites an unresolved cited work.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:05.995826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:40:05.995826Z digest=sha256:92e9e8e428963cf8db6c52540d196f32766726479b5a7879c264e679f8c51757

Observation 137f6881-a3d9-4ed8-b330-123098fa1316 · outbound

This paper cites Zlato˘ s,Sparse potentials with fractional Hausdorff dimension , J.

On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators Zlato˘ s,Sparse potentials with fractional Hausdorff dimension , J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:06.109335Z

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=2026-08-15T22:40:06.000074Z digest=sha256:d872175d33f6791f26db4861637740c377d893bbbeca2c18b31f74a5e6483265

Pith citing papers

Observation be75cbc6-40de-483a-954d-23bc4eb808ad · inbound

On a Question of Poltoratski cites this paper.

On a Question of Poltoratski On Fractal Continuity Properties of Certain One-Dimensional Schr\"odinger Operators

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:02:16.257679Z

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=2026-08-15T17:02:16.185750Z digest=sha256:019457f64086156631444d1c243c5a1be61342e7c9f8009971c572d72f312c7b