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Paper Citation Record · LEDGER

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.19783.

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

pith.paper-citation-record.v1
2507.19783 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:12:57.783916Z

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 exact1
  • verified fuzzy21
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1cf6ee0-c358-4a9d-911c-2265ac251080 · outbound

This paper cites Bourgain and M.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Bourgain and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.578931Z

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=arxiv_source observed=2026-08-06T14:12:55.685749Z digest=sha256:f3c33aa60ea9f001e8522e4f327a55adc3f1f1e9003e9417c8f304f258b66c25

Observation 2b7b1d93-42d7-4e0a-96b7-05c6ff4747aa · outbound

This paper cites Bourgain and S.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Bourgain and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.553566Z

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=arxiv_source observed=2026-08-06T14:12:55.746318Z digest=sha256:cbc6667436b4b3b8d8407ba4ca2ba9e8937a980b0cf471a3eb15e458d2ec0216

Observation 69f361a2-1000-46fc-ad28-de45532b4052 · outbound

This paper cites Binyamini and D.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Binyamini and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.534897Z

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=arxiv_source observed=2026-08-06T14:12:55.819131Z digest=sha256:be603c932021b326f008abbb85b0cd7607b06f2e821b7b75936d1ced15c42d70

Observation e942aa61-28fc-4658-84c7-cf02099d50f1 · outbound

This paper cites Bourgain, Green's function estimates for lattice S chr\"odinger operators and applications , Annals of Mathematics Studies, vol.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Bourgain, Green's function estimates for lattice S chr\"odinger operators and applications , Annals of Mathematics Studies, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.503607Z

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=arxiv_source observed=2026-08-06T14:12:55.927056Z digest=sha256:6af5ae1e1d2d6420df2b942b3e6dfccf96963de379b298563c0aa63bc84ed3ef

Observation c2bb2f4b-325d-4f3e-9f3e-4aa76ecba37d · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 5

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unresolved
raw_fallback, observed 2026-08-06T14:12:58.459040Z

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=arxiv_source observed=2026-08-06T14:12:56.044691Z digest=sha256:5685a5dd39d6899afabe438951eb2e14d1a3517f8079045febac855a95c5d933

Observation ea13c15c-17a5-4337-ad8c-9757c390f460 · outbound

This paper cites Damanik, M.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Damanik, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.425966Z

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=arxiv_source observed=2026-08-06T14:12:56.127769Z digest=sha256:cd1c23fc8d983f4ed45405af16e60669be0a5c69b686f57732102fb94ad9d750

Observation f586d305-3c99-4be7-a37c-9f555ff5f867 · outbound

This paper cites Damanik and S.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Damanik and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.394789Z

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=arxiv_source observed=2026-08-06T14:12:56.218441Z digest=sha256:abdaa13b3232697ef7bd30eabd6425ee5f773c847e2fa295d373c0c58326d64d

Observation c05482ba-90e8-468b-88e7-864339e18c62 · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.367710Z

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=arxiv_source observed=2026-08-06T14:12:56.285755Z digest=sha256:e42c4457b133d50f483784b0f4b7fa6ce7ba18df470ee7539c4fda2246982d83

Observation 38d585b9-9b10-4c03-b38e-e80f898d2c0b · outbound

This paper cites Fillman, Ballistic transport for limit-periodic J acobi matrices with applications to quantum many-body problems , Comm.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Fillman, Ballistic transport for limit-periodic J acobi matrices with applications to quantum many-body problems , Comm

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.345460Z

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=arxiv_source observed=2026-08-06T14:12:56.368281Z digest=sha256:1541e10c751207ea4707ff010abb55d22cb40cc8fed37266efc2549b7f69e8cd

Observation 329ae00d-7acf-4c32-90dc-70f078d6cb5c · outbound

This paper cites Theory Adv.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Theory Adv

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.323528Z

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=arxiv_source observed=2026-08-06T14:12:56.436666Z digest=sha256:b4dc850719e45270cdc4821ac79af606843ec13289109ec9bfbb433c250da582

Observation ad8dfded-51b3-40d8-b3d2-ca6eab0e297d · outbound

This paper cites Ge and I.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Ge and I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.296755Z

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=arxiv_source observed=2026-08-06T14:12:56.528262Z digest=sha256:4be12c6d7397fc14da07542cba8fa2affbe8247d541abf0705c19b325e3c0d11

Observation ef2cb8fb-99e3-446c-844d-8da9950beede · outbound

This paper cites Gromov, Entropy, homology and semialgebraic geometry, Ast\'erisque (1987), no.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Gromov, Entropy, homology and semialgebraic geometry, Ast\'erisque (1987), no

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T14:12:56.639592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T14:12:56.639592Z digest=sha256:30b5858cfbeffca37f0bdf9749f11380e093686456c629c97205d9da00873ee1

Observation bf315bc1-41c0-41d0-9856-0d02c537f354 · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.261724Z

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=arxiv_source observed=2026-08-06T14:12:56.737961Z digest=sha256:b1f5b5f0f6ea4556715dfdef8e185cf9c0698f3bed447b403b72217c865daa85

Observation 7fe74564-e5ba-4e93-aeb8-ff2ff127640f · outbound

This paper cites Han and S.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Han and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.243793Z

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=arxiv_source observed=2026-08-06T14:12:56.890570Z digest=sha256:4d04de997ddbce3f104e56d94d1bd85abd464a167ab274df7620b348a94e9024

Observation bca27488-def3-49e9-b3ad-c10b79960cf3 · outbound

This paper cites Jitomirskaya, H.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Jitomirskaya, H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.222836Z

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=arxiv_source observed=2026-08-06T14:12:57.035151Z digest=sha256:eaa9e3d7c7e97caa7f400b36f9d9bcda6aa4b6bc765742d2c39f2ac08154c622

Observation 1050dc61-f2b1-4639-8e1b-c62bcd09125c · outbound

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

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Sharp palindromic criterion for semi-uniform dynamical localization

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:12:57.848830Z

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=arxiv_source observed=2026-08-06T14:12:57.140615Z digest=sha256:f319e5866e15c323ea8134bfc90039f3f9a45002619721aaac47662be2c794f6

Observation 58adf146-5a00-47fb-841a-a2a01593deba · outbound

This paper cites Jitomirskaya and M.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Jitomirskaya and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.198597Z

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=arxiv_source observed=2026-08-06T14:12:57.224059Z digest=sha256:17158668e34ab54f30807a1b40c060f05c85d3b14ea60626d1b6f9537750c7ea

Observation 041e71ef-a4a3-44aa-a1d5-60f544f3375e · outbound

This paper cites Jitomirskaya and B.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Jitomirskaya and B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.170138Z

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=arxiv_source observed=2026-08-06T14:12:57.326478Z digest=sha256:10d3fbaf056ee27f5e31d2f5137233586c3ba12d4d127faf07652a860640f551

Observation a5e531c4-4b40-4b3b-a551-0f5ad4079eed · outbound

This paper cites Jitomirskaya and S.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Jitomirskaya and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.123570Z

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=arxiv_source observed=2026-08-06T14:12:57.465063Z digest=sha256:c3afe25b711264698a182e5eeff1eca00edde8d2edb1ae6941fd710f1581a97c

Observation dccd1d09-60a7-4f0d-bc23-deba24bd2c9e · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.102517Z

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=arxiv_source observed=2026-08-06T14:12:57.558207Z digest=sha256:779bd8b31aaad955d097cc17fa71af0e34ef245b1de295cb250e7678d8130361

Observation adc3dfc1-46e5-4ae9-b037-4b9173a57a70 · outbound

This paper cites Liu, Quantitative inductive estimates for G reen's functions of non-self-adjoint matrices , Anal.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Liu, Quantitative inductive estimates for G reen's functions of non-self-adjoint matrices , Anal

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:58.077456Z

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=arxiv_source observed=2026-08-06T14:12:57.641662Z digest=sha256:1af6c600000cb60af7e726dd98dc85088c018c54b0e54a517a3efd350a8c1f4e

Observation d14e4ecd-1f95-4146-a41e-1fb31978fb56 · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.047497Z

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=arxiv_source observed=2026-08-06T14:12:57.735292Z digest=sha256:8204c5ee04312a3f9bcab4df217c1e3f239bda22e91b410345bd7125501d0d02

Observation 8fd06dcd-485e-480c-a4e9-f241ffe1d9b2 · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.025967Z

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=arxiv_source observed=2026-08-06T14:12:57.740663Z digest=sha256:0c0477169b4556e5e6ed9ebb777808f9a5de08efba17ee19f5cebf4a2d29b887

Observation 9f805aad-1a80-46b8-918b-cf6f04dfbdf7 · outbound

This paper cites an unresolved cited work.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:12:58.003501Z

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=arxiv_source observed=2026-08-06T14:12:57.747720Z digest=sha256:732e678d196a3344aad74e2ce24055af2a400703d7e83557124b5dba83f011e7

Observation a455c31e-afd9-4613-8c8d-24ef01c02d51 · outbound

This paper cites Shan, Dynamical localization for finitely differentiable quasi-periodic long-range operators, J.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Shan, Dynamical localization for finitely differentiable quasi-periodic long-range operators, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.981459Z

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=arxiv_source observed=2026-08-06T14:12:57.753849Z digest=sha256:261f8698070826ddde78a0bbe16fa3f97c7267add970f4667fb311388ea4ffae

Observation 4d422332-97d2-4c70-ae9a-fde2903e3d27 · outbound

This paper cites Shamis and S.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Shamis and S

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.960736Z

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=arxiv_source observed=2026-08-06T14:12:57.758938Z digest=sha256:19f185974301469bea6e478ff320ab486d29097a884d988182f1cb09ff16be03

Observation ef4a46fc-544e-47c4-87a2-75780356ff05 · outbound

This paper cites Yomdin, C^k -resolution of semialgebraic mappings.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Yomdin, C^k -resolution of semialgebraic mappings

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.943290Z

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=arxiv_source observed=2026-08-06T14:12:57.764812Z digest=sha256:c0cfa47c1a8ff068f1cea38e8897a3b2f0d56a2a41c6864ff1fbfa73eaf59f49

Observation eb3f9cc4-1f37-4dba-8635-aaa5816f8e9d · outbound

This paper cites Young, Ballistic transport for limit-periodic S chr\"odinger operators in one dimension , J.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Young, Ballistic transport for limit-periodic S chr\"odinger operators in one dimension , J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.915447Z

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=arxiv_source observed=2026-08-06T14:12:57.769905Z digest=sha256:1fd5f54231a63e45fbbbd4150039dc8bdbd50f9d15fe66380554cb3d881b6932

Observation 89d8572e-2465-4b84-92cc-d2915118a257 · outbound

This paper cites Zhao, Ballistic transport in one-dimensional quasi-periodic continuous S chr\" o dinger equation , J.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Zhao, Ballistic transport in one-dimensional quasi-periodic continuous S chr\" o dinger equation , J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.890680Z

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=arxiv_source observed=2026-08-06T14:12:57.776799Z digest=sha256:bd15f335b3e8f4c0fa0655ea1317816dcefcc4d843ff8bbbae872c9cabdae1c8

Observation 33eee4c1-c348-45b7-a17b-325efc4a43ba · outbound

This paper cites Zhang and Z.

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics Zhang and Z

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:12:57.868689Z

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=arxiv_source observed=2026-08-06T14:12:57.783916Z digest=sha256:f4c2f3bc12b6c15f6df0cfaca5b5e8402097182ecea584152be51a8a00fb2392

Pith citing papers

No inbound Pith citation observations are available.