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Paper Citation Record · LEDGER

Fourier analytic variants of the Furstenberg and Kakeya problems

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2605.21668.

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

pith.paper-citation-record.v1
2605.21668 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T08:03:18.396559Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

16 of 16 outbound references displayed

  • verified exact6
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71142083-7c7c-4247-a9a0-99129cafb6c5 · outbound

This paper cites Baker and A.

Fourier analytic variants of the Furstenberg and Kakeya problems Baker and A

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.106345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:baa6f83460ad6a00ed2c1a27f26497a3f19cdadebae1e140fb771458570b856d

Observation c5c39314-cd51-4462-81cb-8d75f2051789 · outbound

This paper cites Ekstr\"om.

Fourier analytic variants of the Furstenberg and Kakeya problems Ekstr\"om

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T08:04:44.047875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:001da6b54bf9288078af9671932636cbad7b65a21978152d10b38586170032ff

Observation 6441d494-c7f1-4407-b961-e71f48775e51 · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.052673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:e239769a5f299f1d2ee194956364bd33d5a53632ec1f356b15fbe9895c85192f

Observation b6839207-b9b0-4420-b4ce-b2a81d3f719a · outbound

This paper cites Fraser and K.

Fourier analytic variants of the Furstenberg and Kakeya problems Fraser and K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T08:04:44.044629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:dd93a00d1df5314621176111d7f8e3e958482232985aac96f25d3e175334d367

Observation 11a50986-a821-44ee-9e2c-dee9d4379569 · outbound

This paper cites Fourier decay of product measures.

Fourier analytic variants of the Furstenberg and Kakeya problems Fourier decay of product measures

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.102205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:ba64e35e0dfd8928eaff1dd0b70c398b7c8997e01e73483751568f85ce2d0132

Observation 0387e9ef-afda-450c-9a11-8f1f050b238b · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.026159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:e8530afdb7340fa434452e6bb22b1a696f798df0d02ba4e550e60bfd49725f2c

Observation 69910232-d88b-4441-91a5-be3e70e5ae54 · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.029811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:d36e2270bca9371380c895509a2cd05cfc25444330ec5316bf983fae15ad14be

Observation 98bfa41c-c1cf-40cb-a7bc-e8e3d919c0cf · outbound

This paper cites Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements.

Fourier analytic variants of the Furstenberg and Kakeya problems Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.088781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:9ad3e339c0a39b36a6f80958bbd209a035e2555a3362ec985c5de3e354ab1340

Observation d8134e9b-0445-4470-8d6b-9c1c0ea45233 · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.036219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:5366d505f117a05daf010516dc161f021ea1f2ceb0a5941b812b2750ba96fbae

Observation e0df54ce-7a16-4790-81f4-b55eaa12e493 · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.020857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:c2d58eb6a44bb8874b37c23c29a66f33c9897ab59a7f827e2c5f27e539ffe79b

Observation e5b044bc-fa9a-4aee-bafd-ff1088dfd72f · outbound

This paper cites an unresolved cited work.

Fourier analytic variants of the Furstenberg and Kakeya problems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T08:04:44.023455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:9c26db7ffe7e914ee587f06422546d563ad37941ffe90d3463603697ee6a8b81

Observation 1baf4e61-9dcd-4a75-9741-a806b4b7adc1 · outbound

This paper cites Orponen and P.

Fourier analytic variants of the Furstenberg and Kakeya problems Orponen and P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T08:04:44.015730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:37006567e2aa3d1de4d2afcfae1c08a3cd7db4d204a5eb4581400b989b5f727b

Observation 19a26a90-00d8-4138-b7f4-aaaca4d3c286 · outbound

This paper cites Orponen and P.

Fourier analytic variants of the Furstenberg and Kakeya problems Orponen and P

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.093204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:22a06787e9c3a1f3ef7217aa97a4518d7ecc796d14651ee23ccd74a5201e879f

Observation 330f0f0b-0456-45c0-88ca-20ff033e82c2 · outbound

This paper cites Furstenberg sets estimate in the plane.

Fourier analytic variants of the Furstenberg and Kakeya problems Furstenberg sets estimate in the plane

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.084606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:41e6c09e5407fb0085b43f6b3c99110c56716a7a24a0cf973201261bb1cd151d

Observation 6fa60d00-8656-4ebd-a770-6274d4ffeb92 · outbound

This paper cites Shmerkin and H.

Fourier analytic variants of the Furstenberg and Kakeya problems Shmerkin and H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T08:04:44.018129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:63dcaee1b8b8ba00728613e0a3a3b7348c5c668bb3d90ef773ea693f85d18cba

Observation a2b11779-0401-4e76-9fbb-7c09c8f5eeb3 · outbound

This paper cites Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions.

Fourier analytic variants of the Furstenberg and Kakeya problems Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.097814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:e468f5c54c11d49404333212fc0f8eaa195e799fb7abacd5e157f3f92b84be83

Pith citing papers

No inbound Pith citation observations are available.