Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T12:37:31.181975Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2604.13868.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T12:37:31.181975Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-08T10:05:41.222298Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-11T20:11:10.463446Z
47 of 47 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 33aefc5c-07f3-46c2-8a69-abf1217d04f5 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 66f0f9ea-a00c-44e0-a6ba-4ad258881aa8 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3454e294-1126-494a-959b-72005dbbcdaa · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c8ca0c83-d299-4a0a-b323-0c476dd92db6 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 43c3fdee-fa64-4b13-969d-5538fd0d67d7 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 186928cf-7a9f-4b93-bde1-205605827d96 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Mat.36(2),307–316 (1998)
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0def0323-83ae-47ef-a36a-dbe9a5cc5026 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Integer Seq.4(2),19 pp
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 69652821-e0a1-4402-b9b4-4fa4c90d3ae2 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture On the Exact Fourier Dimension of Sets of Well-Approximable Matrices
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2dbbc240-441a-4857-b462-7f9948187cb8 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b585ee66-9dfb-47c5-a705-253de461cd84 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6d945187-2726-40d2-9f45-76f537f57b7f · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture General Duffin--Schaeffer-type counterexamples in diophantine approximation
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e5a4d98a-b780-4969-9d38-7be1daefc267 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Math.155,2214–2233 (2019)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a336ef9b-56dc-4e1e-a25a-1ed10bde957d · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture 296, Amer- ican Mathematical Society (2024) 18
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9c4a0ecb-0bb6-4104-9c6d-93a12d5d6f5c · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Moment transference principles and multiplicative diophantine approximation on hypersurfaces
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8d06d19a-29cc-4509-b705-006277a02fa7 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fdb018cc-fdd3-4d07-99e4-18351a550535 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture J.8,243–255 (1941)
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c11fa224-f30d-4d5c-b3fa-79482be0f4d4 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Cambridge Series in Statistical and Probabilistic Mathematics, vol
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7d86e38f-fa85-4dc2-a154-e140149fe1d3 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Mathematical foundations and applications
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 21533f80-173e-41c0-8c73-f8e3ad1f0f73 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 373ef72c-1ad7-4b3d-9d35-66757b119e6c · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Math.416,Paper No
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ed37f9fe-58bf-4547-8328-cc22a00bc6ba · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 03071823-a1fb-4213-b25a-5b55b92a080d · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Math.311,634–648 (2017)
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ae246e5c-b53a-4390-941b-f8683d866a1e · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2e1c96df-01b0-4e4f-9a8f-46cc708fc5b4 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 988ca282-60b9-45cf-9358-fde074e01a46 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fc8bb564-3805-4e8d-bbfa-a819d6691f8c · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture The Duffin-Schaeffer conjecture with a moving target
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 26bad324-db50-44ff-b4f1-1322f405d8a3 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Twisted approximation with restricted denominators
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6b70187f-ea6a-42a9-a846-30cfb3911d2d · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Ann.394(4),100
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c0ffbf9f-6a2d-4fda-ab32-b021341d8619 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture J.19(3),365–377 (1996)
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 52125680-83f1-4dd9-ba55-07db3bf8b81c · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Z.33(1), 505–543 (1931) 19
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1427a9c8-e13f-46ac-b66c-40c3b6b7e3e3 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 64c5e453-3764-45b7-b5ad-254e36f63121 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Acta Arith.39(3),265– 267 (1981)
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9a5093ab-311e-47e6-b003-31c6acf9990a · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3f90a93f-30ba-49f3-b13e-d49e668bdc4d · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 03f7872c-05cb-4b87-ac90-4f0c506d7c72 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Li and B
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3b33fe6f-3c74-4ec5-911f-0952bc96d222 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Cambridge University Press, Cambridge (2015)
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 32afd3a0-685d-4eba-b578-6afd5135a6ce · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dfeb0486-dc4b-4f6e-97b1-d3d5511de27b · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e1fc48a4-6215-4089-ad0a-ec89fb86d295 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8955cc8d-481c-463f-b829-0205f22c1141 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 416dc14c-5714-480f-bb3e-cdf872fa3985 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1f6909fa-4fd5-431a-a887-bd2b03f228cc · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 99db162d-f150-4722-aad5-d0c210e0c2f1 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 109238bb-88bd-46c0-9979-f1dca4e221d7 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a2f46a00-7271-4f92-9c1e-28b0a0f128e6 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Ann.381(1-2),243–317 (2021)
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 47ad8aaa-83f6-48d2-b215-ba146f04bfca · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Acta Arith.190,263–292 (2019)
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 55411c68-2f72-4ce8-b6f9-10e28c4727a1 · outbound
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation db3f29a2-cb14-479e-8141-816d7cf7ff9a · inbound
Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.