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Paper Citation Record · LEDGER

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

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

source=arxiv_source observed=2026-08-06T14:12:55.685749Z digest=sha256:ac013b6293dcf0988b3ebe2fda6ac6c0dd683e50236df80c88dede9bf09bf7d1

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

source=arxiv_source observed=2026-08-06T14:12:55.746318Z digest=sha256:ef258bcdd6e27606015b5788c5eea0e7147a0ba9d5f2c8724be5ad8b0ac5e1b7

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

source=arxiv_source observed=2026-08-06T14:12:55.819131Z digest=sha256:f015e34763c8154169be6579bf90cbe32d14e4355b85f0b97838565a2b31ff1a

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

source=arxiv_source observed=2026-08-06T14:12:55.927056Z digest=sha256:94f591a84303b94c1443bca70cda6f2d2fc2eda42daa7a6fbc65a2f5dbb95d39

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

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

source=arxiv_source observed=2026-08-06T14:12:56.044691Z digest=sha256:fe988c903f4e2a4dce33cd4dda290e2dbe7d1f43e13e0e679f2af6f1693a4e55

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

source=arxiv_source observed=2026-08-06T14:12:56.127769Z digest=sha256:62521b394f8911d13c289e9c34ac2810d2e7646a6f3f779d9efbff63b51a31a6

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

source=arxiv_source observed=2026-08-06T14:12:56.218441Z digest=sha256:ba6f788d397afef1c30abc4ecfc23b4446f60e6e595665867b3e376e77701e74

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

source=arxiv_source observed=2026-08-06T14:12:56.285755Z digest=sha256:b587c4f10261a57595e888de97472702d23bcc26a5d3ed90a4a14a1c25b10813

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

source=arxiv_source observed=2026-08-06T14:12:56.368281Z digest=sha256:12116fddcf975976611e69fd84c253b97dc52029ff195daf05ebe00f2e3a9fd1

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

source=arxiv_source observed=2026-08-06T14:12:56.436666Z digest=sha256:ec77236c62e3749a4e447b53d8009747824e44476b7e3bf6330af944ab9ae5d9

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

source=arxiv_source observed=2026-08-06T14:12:56.528262Z digest=sha256:da4a2a8d8824c8db13382bea483646a1e2afe4728fa508007f5d114f950f6f44

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

source=arxiv_source observed=2026-08-06T14:12:56.737961Z digest=sha256:cdb51b0b7e5ba480b9eea9a201d66837a17cdd35a04650c24d561b21a21a0ea8

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

source=arxiv_source observed=2026-08-06T14:12:56.890570Z digest=sha256:c9ce801ff154cda8d81cc8b12facc618a893ffe13a5a002076919558aa23a807

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

source=arxiv_source observed=2026-08-06T14:12:57.035151Z digest=sha256:f52a98859b7f7e3b09baf28cb5075fae970c02c691abe3077abb019021946b5e

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

source=arxiv_source observed=2026-08-06T14:12:57.140615Z digest=sha256:e13e47e7b0a2e624a427d994b8e83061e1f8f627d1fe08f3018c7d36cbaf85f2

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

source=arxiv_source observed=2026-08-06T14:12:57.224059Z digest=sha256:b607e74411c41bada40f696e58b1bae2787b9482436119e76aec4a3bbf7440f5

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

source=arxiv_source observed=2026-08-06T14:12:57.326478Z digest=sha256:fd8bd0cb0bc843df9cc0fc673589a1fcee912a983b2b0e98cdbebfdd52f7a94f

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

source=arxiv_source observed=2026-08-06T14:12:57.465063Z digest=sha256:6f24c514d1bed1cf2d1aaa0d63b59a791b7091c173d5d2ad41e000521ddc731f

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

source=arxiv_source observed=2026-08-06T14:12:57.558207Z digest=sha256:cb2f8bb4c499e9a3270a4755abed1ef40190cb74fcb592525305780d3cb428e8

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

source=arxiv_source observed=2026-08-06T14:12:57.641662Z digest=sha256:c24c015db7067b12bd86d1497114d0c66ec3c841cead6d35fb064442156f7dc2

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

source=arxiv_source observed=2026-08-06T14:12:57.735292Z digest=sha256:3e1cb7c3ba7a08b8d0c91515e10036a74f999ba57f271647351477da8b13ae01

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

source=arxiv_source observed=2026-08-06T14:12:57.740663Z digest=sha256:6b55ddc47cfea8d08c96382b95c350b2b722e158801dfb17c35e318beff20d34

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

source=arxiv_source observed=2026-08-06T14:12:57.747720Z digest=sha256:a7df45d8cc289b88c1e646c21f743bd017b2f6e5d216a6e63a7f2fdddda3ba88

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

source=arxiv_source observed=2026-08-06T14:12:57.753849Z digest=sha256:21d3d07493c8b6fab4e851f71aad98bce8d9f0dd961e8f5f238257e5895aa37d

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

source=arxiv_source observed=2026-08-06T14:12:57.758938Z digest=sha256:d5f97793a5985e174fdd4096a27b0d9856d66f3103f0383443661c0628ba0f33

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

source=arxiv_source observed=2026-08-06T14:12:57.764812Z digest=sha256:53cc2dc68d7a7c774b21344618dd7cf112bbdf50f3a1844dcc1b7bbd0cda8caa

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

source=arxiv_source observed=2026-08-06T14:12:57.769905Z digest=sha256:353137ff8288792cf3db8cf096b3562c64291446b75cdf824be6311485b6e901

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

source=arxiv_source observed=2026-08-06T14:12:57.776799Z digest=sha256:e99f7d37339fb09ecac4695d663e44ae407498c252034b5c57b8806a5edd80ca

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

source=arxiv_source observed=2026-08-06T14:12:57.783916Z digest=sha256:64ebdb3c3569dd978577d2850eea96aad589384b6fea6209bf94ecd424473c78

Pith citing papers

No inbound Pith citation observations are available.