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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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.005769Z digest=sha256:4eedac0ddf4d9c2b5363a43448b475dae051cc04ac65b3f846b5d1e113459d31

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.010714Z digest=sha256:743a6396cc9fabf052679aee7b48888201ac2a40462322c5bad788b68c3fe270

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.014642Z digest=sha256:bdc75a8f4c02437c83015c7b001900d399a654a12f8b4d01647605cdb7554db8

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.018607Z digest=sha256:6db9be0bb14199c1d0a19e78a216e561f485aec893733d23131389a588d8a84b

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.024515Z digest=sha256:0adf9041f590d4793a6229df8f1ba041836f9e065d4ee9271cd75b14633b2d3f

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.029287Z digest=sha256:a08fc0721af7f7ed76ae8bb5f84b76c7b47a70fc7c2dce5ab189e141b74c99d8

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.036606Z digest=sha256:5dffb11c18e85595363f4b516f9ed1b3d9704e6bd3b975302a1a486b2bd07bfd

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.048086Z digest=sha256:df87b701b1401bcb468bc641bc121265b21dc047708d65900e5086e7eb853692

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.052713Z digest=sha256:31d32c54802ca9b6056479a55b83af42b8291fe1f1233f61c63f296e7ae1d122

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.056841Z digest=sha256:ebf995758331b744004a90afc30310ce7b619304893e80d670ba2deafd10671d

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.060644Z digest=sha256:905e834ab572dbfef78cd750b01be8cebd50694f939408a11866705597e5ffe0

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.064775Z digest=sha256:5a1121c458fde464ccf9cd2bb5976b1b443e9a2e0158cc5ca28f0dd2a8b99faa

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.068735Z digest=sha256:29a1c68ee83f1b55d5af1c2ce5d9eddfcf00272543c7394d03e40b21e839a7cb

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.072629Z digest=sha256:77421349af1920a47764233f668ac62bc5111a605e42fd6f8ba6f2bbd6139cba

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:39:05.080685Z digest=sha256:fb10b5164927114a18edd8fb12dc19c9c04c8a54adfe2949bf706fb02930bcfa

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