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Paper Citation Record · LEDGER

Fourier analytic properties of Kakeya sets in finite fields

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2505.09464.

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

pith.paper-citation-record.v1
2505.09464 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:39:05.080685Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:36:38.593118Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e935c7ba-4625-4573-a724-06b1d50a78cb · outbound

This paper cites Besicovitch.

Fourier analytic properties of Kakeya sets in finite fields Besicovitch

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.316268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.005769Z digest=sha256:efe7480c737e7dd0ef5d15dc38bfb76827324beaf43b3fcfb8534cbf02fd5318

Observation a02abe83-16f1-498f-9e2c-5be800890abb · outbound

This paper cites Bukh & T.-W.

Fourier analytic properties of Kakeya sets in finite fields Bukh & T.-W

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.303583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.010714Z digest=sha256:b3e646c9c7f1146758171f2dd352be2ac61af11804ba69f120aa15d6c8826092

Observation ce6f7eb9-e13b-4087-94e1-0c95f779b2fb · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.290687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.014642Z digest=sha256:3b6b413d69abafd832728b92656d04c89d962e7638ae48facefb9edd2db8433b

Observation 102bcd1a-9ed6-43d5-b325-cedfc5007c98 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.279335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.018607Z digest=sha256:a6b97b0b9b441adf7b1a1b6911ec1f5513ed6d36a86b70c9fa38de33380e0527

Observation 29ef6fbd-e86b-4196-a0c3-ec684d89cadc · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.268072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.024515Z digest=sha256:e3a12f6a56a55b425d868e67f891f676e3f60a03adb552c6d8e4e37ba2c4891c

Observation 2b6938df-1da3-45c0-aec4-6b9e663b613a · outbound

This paper cites S Ellenberg, R.

Fourier analytic properties of Kakeya sets in finite fields S Ellenberg, R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.256362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.029287Z digest=sha256:dd47cf92b375203472065beb6f6d9eccb71de78f88b563fe3b0fa12494c1aefc

Observation b3a887c5-fa95-4212-a4f3-0c99784228b0 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.245730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.036606Z digest=sha256:a59bad8c253b03bfd11dea0b31782607f2c7ae8917b11d153feaf050c4bd8143

Observation 598e0805-05d5-467c-a980-3a0147a5bcf9 · outbound

This paper cites Fourier decay of product measures.

Fourier analytic properties of Kakeya sets in finite fields Fourier decay of product measures

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:39:05.042647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:39:05.042647Z digest=sha256:da0a63c2b82160d868c860b96f9aeff89e53df768f61528d4da69ff4ed3b01a2

Observation 5c1d77e7-f7df-48f0-96be-a66a6d331bc2 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.234336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.048086Z digest=sha256:c09e7dac8bf96214f1e3ca764bd45faffeb7183334f360a3f8d36f520cc03102

Observation 8ee07a68-f7b6-48b6-8a66-e27697f532ea · outbound

This paper cites Iosevich & M.

Fourier analytic properties of Kakeya sets in finite fields Iosevich & M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.222258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.052713Z digest=sha256:882391eb39081445b93c18d6f586de9b83c9326fca21d56ae29fce350b254d9b

Observation 3ec6d383-6ab1-4e19-a68e-4b726e4dea68 · outbound

This paper cites Kopparty, V.

Fourier analytic properties of Kakeya sets in finite fields Kopparty, V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.209188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.056841Z digest=sha256:d64eeebe8e6d5697627e239efb65331962b9a7f8093def79e6677039bc1d92ea

Observation 268cff7d-8ea5-4941-a42d-5219b492fb25 · outbound

This paper cites Lidl & H.

Fourier analytic properties of Kakeya sets in finite fields Lidl & H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.195886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.060644Z digest=sha256:c949c6bde3816fff1d94a9d0ef5a8f0c3bd244b0f43c14539f1239a535354833

Observation 8fe647c6-1c65-4bf8-bd4a-2109bd07e662 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.184032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.064775Z digest=sha256:db26e36161ae9b0429208fdc9f73d5a0e62e11356b324f6ad0c7c53a52758347

Observation ae577af0-8424-467c-9fa8-462eaf30e328 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.171613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.068735Z digest=sha256:71742b1bd012c803d58a132785175312b52ff5a197a9fd8296c1269d73d9df39

Observation 1ec14567-6333-42ec-9240-15d2b854114f · outbound

This paper cites Saraf & M.

Fourier analytic properties of Kakeya sets in finite fields Saraf & M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:39:05.159103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.072629Z digest=sha256:00fca37a9dd35535f99320df590e7237968d31570659751bae15bd0955f01a8c

Observation 3ecb2607-66e9-472a-882d-34badfc76f7b · outbound

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

Fourier analytic properties of Kakeya sets in finite fields Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T21:39:05.076286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:39:05.076286Z digest=sha256:944c7571cf9be027a5625476378fe6cb23bae3e90af733b6ef4ae6bc83725605

Observation 83b57b17-57fb-4657-9018-fc8fc5e89eb8 · outbound

This paper cites an unresolved cited work.

Fourier analytic properties of Kakeya sets in finite fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:39:05.143586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.080685Z digest=sha256:d154d22e50a008d89be9f1b43c485d2719f63ca2cd8caf6640f4188742175b06

Pith citing papers

Observation 81a410d3-80ed-418a-8897-28fd4145fb7b · inbound

Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications cites this paper.

Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications Fourier analytic properties of Kakeya sets in finite fields

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T19:36:38.593118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:36:38.593118Z digest=sha256:dfb2a7d3140d3d141bf6ce7f98de93583372f51a385ca563a12b19218d89ecf8