Paper Citation Record · LEDGER

Higher dimensional shrinking target problem in beta dynamical systems

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.02098.

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

pith.paper-citation-record.v1
1908.02098 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:06:02.177380Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy20
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9fa78f3-3c46-4439-b5fa-5d09c0d54626 · outbound

This paper cites Beresnevich, D.

Higher dimensional shrinking target problem in beta dynamical systems Beresnevich, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.877877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 27afdbf4-1629-4585-9d1d-bb9efcd41788 · outbound

This paper cites Beresnevich and S.

Higher dimensional shrinking target problem in beta dynamical systems Beresnevich and S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.841631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e3d43c6b-fa94-4659-bc98-6f5c27fbb430 · outbound

This paper cites Bugeaud and B.

Higher dimensional shrinking target problem in beta dynamical systems Bugeaud and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.812364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6bb6f8c0-883c-499f-8265-477fff7b6e28 · outbound

This paper cites Bugeaud, A note on inhomogeneous Diophantine approximation , Glasg.

Higher dimensional shrinking target problem in beta dynamical systems Bugeaud, A note on inhomogeneous Diophantine approximation , Glasg

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.783187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6e30320f-65ee-41b0-b93d-cef9457fda0e · outbound

This paper cites Coons, M.

Higher dimensional shrinking target problem in beta dynamical systems Coons, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.753674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c53dbe4c-0abc-44b6-8f7f-19b258d028dd · outbound

This paper cites Falconer, Fractal geometry: Mathematical foundations and applicati ons, John Wiley & Sons, Ltd., Chichester, 1990.

Higher dimensional shrinking target problem in beta dynamical systems Falconer, Fractal geometry: Mathematical foundations and applicati ons, John Wiley & Sons, Ltd., Chichester, 1990

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.730102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c69ceb71-a855-4142-9c54-04fe6ab3495b · outbound

This paper cites Fan and B.

Higher dimensional shrinking target problem in beta dynamical systems Fan and B

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.701047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b4e52a91-63ea-48b6-978b-5e2e6326a03d · outbound

This paper cites Hill and S.

Higher dimensional shrinking target problem in beta dynamical systems Hill and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.672374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7f29bec4-3461-40c0-b6e6-44bc1e977889 · outbound

This paper cites Hautes ´Etudes Sci.

Higher dimensional shrinking target problem in beta dynamical systems Hautes ´Etudes Sci

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.650895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e009319f-15a2-4e91-86f8-ed090669da9d · outbound

This paper cites Hussain and D.

Higher dimensional shrinking target problem in beta dynamical systems Hussain and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.612670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 00055983-b954-46d7-80b6-9b34bd5445a4 · outbound

This paper cites Hussain and W.

Higher dimensional shrinking target problem in beta dynamical systems Hussain and W

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.583258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 97cc5b22-6520-4190-8089-82727fc4213f · outbound

This paper cites Hussain and T.

Higher dimensional shrinking target problem in beta dynamical systems Hussain and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.555330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 36657bdc-4ed4-449d-82f8-b928497b471f · outbound

This paper cites Hussain and T.

Higher dimensional shrinking target problem in beta dynamical systems Hussain and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.531664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 075d9f40-488e-419c-af64-437d0546f614 · outbound

This paper cites Parry, On the β -expansions of real numbers , Acta Math.

Higher dimensional shrinking target problem in beta dynamical systems Parry, On the β -expansions of real numbers , Acta Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.508357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 31a291d6-2adc-4a4b-960f-7b140dfd5e4b · outbound

This paper cites R´ enyi, Representations for real numbers and their ergodic propert ies, Acta Math.

Higher dimensional shrinking target problem in beta dynamical systems R´ enyi, Representations for real numbers and their ergodic propert ies, Acta Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.479676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9df5ac5e-dee9-43e8-a554-9df9077ab3ad · outbound

This paper cites Seuret and B.-W.

Higher dimensional shrinking target problem in beta dynamical systems Seuret and B.-W

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.436570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b7dcc05f-bb98-4976-aabb-38716e3f0e28 · outbound

This paper cites an unresolved cited work.

Higher dimensional shrinking target problem in beta dynamical systems Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:06:02.406556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ea1b9f7b-cff2-46c7-9585-3c85a14fd7d3 · outbound

This paper cites Tan and B.

Higher dimensional shrinking target problem in beta dynamical systems Tan and B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.372363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9c0b8664-e659-48de-ac73-d9428d14e731 · outbound

This paper cites Urba´ nski, Diophantine analysis of conformal iterated function syste ms, Monatsh.

Higher dimensional shrinking target problem in beta dynamical systems Urba´ nski, Diophantine analysis of conformal iterated function syste ms, Monatsh

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.344933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2753af92-02fd-4e7d-a950-669ed7891032 · outbound

This paper cites Walters, Equilibrium states for β -transformations and related transformations , Math.

Higher dimensional shrinking target problem in beta dynamical systems Walters, Equilibrium states for β -transformations and related transformations , Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.321185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f7b36948-dd43-4f9a-a047-5e126dfdcb1b · outbound

This paper cites Walters, An Introduction to Ergodic Theory, Grad.

Higher dimensional shrinking target problem in beta dynamical systems Walters, An Introduction to Ergodic Theory, Grad

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:06:02.296445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9176173f-6f4b-4894-902a-0ef6d90f89c4 · outbound

This paper cites an unresolved cited work.

Higher dimensional shrinking target problem in beta dynamical systems Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:06:02.270771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation af1e64c5-1772-4a17-8913-458441b53aa6 · outbound

This paper cites an unresolved cited work.

Higher dimensional shrinking target problem in beta dynamical systems Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:06:02.240713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.