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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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.890687Z digest=sha256:365e820ee737fd170292274a55d13ad0926ed95694900e0fb8c863b713db1e91

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.899333Z digest=sha256:6bd9885e1dcf086c86cacd1a2002d4e55bcea130583ead377c88902f94e9ae14

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.904145Z digest=sha256:37bc31281594f436f79e3be1996e4f72449a548af977583b735a6a4024efafaa

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.908511Z digest=sha256:98b791e480b1a6f265db11f462d0045bc282e9e46bbc9f8b942d671682372cc1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.913175Z digest=sha256:5804758421333f935a6903a8c689a7da5d03347afe34187ad9730dbcbaa40482

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.917631Z digest=sha256:7c9fc0dcc5c2edcde45a7f9a0f6185b0b6180584b352acdb4ecdbe35f597c7d7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.921837Z digest=sha256:da4608bdbe1fdafcb67c539e368cf753c013b3b5a278370f5b391e6ec6a7c761

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.926076Z digest=sha256:67ab2307e40efb5b4dfded4b9e01ffa38df9bcc39e634c34d97a56ddd6aca66d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.930388Z digest=sha256:2391504eaacfb7505acc0eba7a521c8c377110a1fc6b99b0c40643b29d0e7c73

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.934623Z digest=sha256:e7caca891e0e4457e66d063da524a1a9dfb34f2b7c7c0717af218cfa6e439422

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.938974Z digest=sha256:955b5048e8ae8c22982e2b6d1e408e31d55da15e99e69603e809d882056bfd81

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.948829Z digest=sha256:76235c9a9e84d27f681c5f50eb2b014a7f38902ce3a9d5d516e989996b534cff

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.952879Z digest=sha256:eb92e89c1a0d318a2a472a90f9945af06fbca21df6c7534b0d06bf3d772dd911

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.957563Z digest=sha256:91b941821dccf610eea72c1b6e6138d78f006bede8bda7da9cc7077a1d4d6b13

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.962327Z digest=sha256:c71b268c543f84f5183c0689b399c12f2ef6452222ae33105e2964d2268f20c6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.975005Z digest=sha256:81768bd9ba9ab19284ba7a17df2caf889a74765114a41db20b31155b559ab1e9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.983475Z digest=sha256:c39a079b0d450a9a9c38ef43548d84e4b2a1d47370b8f807d09998f6e3adb1bd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.987999Z digest=sha256:46977dfd758d500826413bdb0fa7749c7573458745183ea40820293882f9d265

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:05.991859Z digest=sha256:d93ed822cf14ccf0d8dce3959a5171f9fc04303d3f5bcb123eeec87d28320794

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T22:40:06.000074Z digest=sha256:664366fbed9612f5c7ff9b1243e6d2c1a68922087235e5edeb5db0fdb18dc3fa

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T17:02:16.185750Z digest=sha256:9534286bd715b7acf53ff0094066e471af3291050da977552aba1e19d339517f