Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T05:28:19.448298Z
Paper Citation Record · LEDGER
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices
As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.01655.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact0
- verified fuzzy22
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b01e33c3-82a9-4adb-bc6c-8bb9f621b86e · outbound
This paper cites Bourgain, M.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Bourgain, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.370179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e4875ee3-a469-4c51-ab47-7b2b67702654 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.342327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0143c367-47d1-4d11-b88b-4818004d1c21 · outbound
This paper cites Erd˝ os, A.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Erd˝ os, A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.345822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0df8c842-889a-4c3b-9bbc-4df15550e24b · outbound
This paper cites Bauerschmidt, A.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Bauerschmidt, A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.338296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a1abd1e7-4a8e-47ea-a6b9-b1814040ac8d · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.387237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation da545ffb-12e5-4cbe-a992-e052dcdf8aed · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.380452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b247dcc7-e42d-4d21-af4d-7f8bdedab0c5 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.410463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e58bf490-0249-4fb7-998b-91235afc8a72 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.327476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 77740205-abc0-4ddf-ac42-75fe704664cc · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.331420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation db86ec40-50f6-4596-826b-46e67ef400da · outbound
This paper cites Nica and R.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Nica and R
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.307214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dde9072d-6fbd-493b-963e-dd3601123d3c · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.314720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 513dff90-b723-4f25-87a5-9e03d567a6ba · outbound
This paper cites Bercovici and D.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Bercovici and D
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.318122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ebc29cc-c213-427e-8e8d-c17df8edb3ed · outbound
This paper cites Hiai and D.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Hiai and D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.335298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0b69f5cf-13e8-4dac-88aa-e704f618bc33 · outbound
This paper cites independence.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices independence
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.323629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a19365b1-c7c4-4b0f-a960-360302f1075b · outbound
This paper cites Mai and R.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Mai and R
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.295967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cec0ad73-d14c-4f6d-b2ac-c16b1ad78791 · outbound
This paper cites Lancien, P.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Lancien, P
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.383983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e6e2cea7-4121-4cda-9671-2d0a592bb204 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.394027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4865545b-cbca-4bd9-a91f-16489d22f3b4 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.367570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 885930d5-2ac4-402b-9b98-3b35023480b7 · outbound
This paper cites Deift,Orthogonal Polynomials and Random Matrices: A Riemann–Hilbert Approach, Courant Lecture Notes in Mathematics, vol.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Deift,Orthogonal Polynomials and Random Matrices: A Riemann–Hilbert Approach, Courant Lecture Notes in Mathematics, vol
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.373848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f385c3d3-6fdd-4336-ba53-ff0f7c0c03a2 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.419863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 84bd7605-00cf-4dd4-bca5-982716fe7915 · outbound
This paper cites Pastur and M.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Pastur and M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.416750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 80f53390-ac01-42d1-9b60-9d21c8067b71 · outbound
This paper cites Erd˝ os and H.-T.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Erd˝ os and H.-T
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.358657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3b33780b-efda-4ef0-9fc1-2975f536cf5b · outbound
This paper cites Weyl, ¨Uber die Gleichverteilung von Zahlen mod Eins, Math.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Weyl, ¨Uber die Gleichverteilung von Zahlen mod Eins, Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.364883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0fe5607b-e615-43df-a80a-e702b17d597d · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.355649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cc023631-3dd5-4706-aef9-344aad30f6d3 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.413453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2ea522e3-d7e4-4bf2-b081-ec30d8fda2f0 · outbound
This paper cites Rudnick, P.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Rudnick, P
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.349004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 924c9270-285e-4e95-a3a5-68e19777c2c0 · outbound
This paper cites Adhikari, M.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Adhikari, M
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.352301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8efdf599-a195-480f-aabc-baeb0705c01e · outbound
This paper cites Ratner,On Raghunathan’s measure conjecture, Ann.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Ratner,On Raghunathan’s measure conjecture, Ann
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.361916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f95c80b5-8c18-4be1-861a-498da9bcbc8b · outbound
This paper cites Sarnak,Asymptotic behavior of periodic orbits of the horocycle flow and Eisenstein series, Comm.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Sarnak,Asymptotic behavior of periodic orbits of the horocycle flow and Eisenstein series, Comm
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.377228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8fd13081-5c7a-4c7e-9ea8-410c9e42bd65 · outbound
This paper cites Str¨ ombergsson,On the uniform equidistribution of long closed horocycles, Duke Math.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Str¨ ombergsson,On the uniform equidistribution of long closed horocycles, Duke Math
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.390816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 330d7d1c-63f1-485f-980f-eca5fbcd4ae0 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.407216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ad910d4-1e25-473f-8e0d-4654d87d1128 · outbound
This paper cites an unresolved cited work.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T13:41:13.403602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0081e5d6-6fa8-4230-899c-93a563f7f404 · outbound
This paper cites Yang,Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation for square matrices, Proc.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Yang,Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation for square matrices, Proc
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.299858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 947c6824-c745-487e-99f5-14f8c20f3453 · outbound
This paper cites Shah and L.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Shah and L
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.397279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 79b20f3e-bf39-43ec-a414-a35f580037a8 · outbound
This paper cites Chow and L.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Chow and L
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.400490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b263bf9a-ce0b-4ab3-83d5-d9c61c31fced · outbound
This paper cites Yang,Effective version of Ratner’s equidistribution theorem forSL(3,R), Ann.
Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices Yang,Effective version of Ratner’s equidistribution theorem forSL(3,R), Ann
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T13:41:13.290480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.