Paper Citation Record · LEDGER

Hausdorff dimensions of Beatty multiple shifts

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.10982.

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

pith.paper-citation-record.v1
2507.10982 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:36:00.988888Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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 fuzzy18
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa51468f-a0a3-4e44-9b0e-a362aa2be877 · outbound

This paper cites Ban, C.-H.

Hausdorff dimensions of Beatty multiple shifts Ban, C.-H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:06.328487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4bf56381-57bc-429a-86a4-9dde8d371cd0 · outbound

This paper cites Ban, W.-G.

Hausdorff dimensions of Beatty multiple shifts Ban, W.-G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:06.142352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 713e5754-c274-4a54-a28a-95b4fcdb3a66 · outbound

This paper cites Ban, W.-G.

Hausdorff dimensions of Beatty multiple shifts Ban, W.-G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:05.837078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 581d7df6-3989-4eb6-9e12-86977b8e98f6 · outbound

This paper cites Ban, W.-G.

Hausdorff dimensions of Beatty multiple shifts Ban, W.-G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:05.639647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 935f7ff8-611e-4958-b0b0-ada1a11ef25c · outbound

This paper cites Brunet, Dimensions of self-affine sponges invariant under the action of mul- tiplicative integers, Ergodic Theory and Dynamical Systems (2021), 1–43.

Hausdorff dimensions of Beatty multiple shifts Brunet, Dimensions of self-affine sponges invariant under the action of mul- tiplicative integers, Ergodic Theory and Dynamical Systems (2021), 1–43

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:05.407771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 294f7ded-be9e-4a4c-8e8b-3c6b59a0fb80 · outbound

This paper cites thesis, Universit´ e Paris-Nord-Paris XIII, 2022.

Hausdorff dimensions of Beatty multiple shifts thesis, Universit´ e Paris-Nord-Paris XIII, 2022

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:05.226114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a0aa515-1dc4-498f-bd28-09b6b8bb3e45 · outbound

This paper cites Carinci, J.

Hausdorff dimensions of Beatty multiple shifts Carinci, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:05.059690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3e7e7eb1-ae63-4040-9020-1a0bf07745c7 · outbound

This paper cites Chatterjee and A.

Hausdorff dimensions of Beatty multiple shifts Chatterjee and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:04.867165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6c6a12cf-31a5-4f40-93db-4c8c28fef5ce · outbound

This paper cites an unresolved cited work.

Hausdorff dimensions of Beatty multiple shifts Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:36:04.608222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6f34de7f-a35e-4c83-b21f-b086c0b7b959 · outbound

This paper cites Fan, Some aspects of multifractal analysis , Geometry and Analysis of Fractals, Springer, 2014, pp.

Hausdorff dimensions of Beatty multiple shifts Fan, Some aspects of multifractal analysis , Geometry and Analysis of Fractals, Springer, 2014, pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:04.402752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27512a48-7c0c-4b0f-bc3c-539ab9a1336e · outbound

This paper cites an unresolved cited work.

Hausdorff dimensions of Beatty multiple shifts Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:36:04.179998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8a04b198-33c9-4736-8789-d105250ed099 · outbound

This paper cites an unresolved cited work.

Hausdorff dimensions of Beatty multiple shifts Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:36:03.924841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2107628d-6339-4d57-9e4e-1b5f4747906f · outbound

This paper cites 1, 17–26.

Hausdorff dimensions of Beatty multiple shifts 1, 17–26

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:03.524406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 537b3915-5d5b-47c4-b8fb-73baac19fce0 · outbound

This paper cites an unresolved cited work.

Hausdorff dimensions of Beatty multiple shifts Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:36:03.324951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 18269b37-9a97-4cae-9515-139b8999d4c1 · outbound

This paper cites an unresolved cited work.

Hausdorff dimensions of Beatty multiple shifts Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:36:03.149430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ed5f2604-4f8f-4210-93b0-3684ebd7032a · outbound

This paper cites Harman, Primes in intersections of beatty sequences.

Hausdorff dimensions of Beatty multiple shifts Harman, Primes in intersections of beatty sequences

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:02.933625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f191086-1db7-4e9f-bcb4-96de38e0a2d7 · outbound

This paper cites 2, 572–586.

Hausdorff dimensions of Beatty multiple shifts 2, 572–586

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:02.747993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c1f9222e-2018-49c0-a86f-4ec57ca8c035 · outbound

This paper cites Kenyon, Y.

Hausdorff dimensions of Beatty multiple shifts Kenyon, Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:02.535179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fadfc484-0e90-4f3e-a12b-fff0d4b8acd7 · outbound

This paper cites Kifer, Lectures on large deviations in probability and dynamical systems , Hyperbolic Dynamics, Fluctuations and Large Deviations 89 (2015), 45.

Hausdorff dimensions of Beatty multiple shifts Kifer, Lectures on large deviations in probability and dynamical systems , Hyperbolic Dynamics, Fluctuations and Large Deviations 89 (2015), 45

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:02.353201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 640d61a3-b796-407f-b761-50e38792d801 · outbound

This paper cites Kifer and S.

Hausdorff dimensions of Beatty multiple shifts Kifer and S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:02.144865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1c28a83-4fbc-4178-8dcb-dd6cf3fc2a00 · outbound

This paper cites Kuipers and H.

Hausdorff dimensions of Beatty multiple shifts Kuipers and H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:01.892149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 41d08a8e-530b-4a5f-90a7-efaeebb28332 · outbound

This paper cites Peres, J.

Hausdorff dimensions of Beatty multiple shifts Peres, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:01.579181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 985cdcfa-5f82-4db9-aa0d-718d2cce9fcd · outbound

This paper cites Peres and B.

Hausdorff dimensions of Beatty multiple shifts Peres and B

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:36:01.257795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.