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Paper Citation Record · LEDGER

Fourier analytic variants of the Furstenberg and Kakeya problems

As of 14 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:e40e10116d9c551f195a53aace2f57367759df0df62a14ca30cc8e80d47d6ae8

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:3a0b23713fa9ea1e35922ec03e4ceae692c2b705184d419328ed3ebc37c701ff

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:615dea17076ff10738e70e4f2cc9e6ee86a9b4b2d2e122e7db41190b3f4b8e69

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:dd18a0e1eccb766fc638479522c2190c61ed8cea62cf84eb3e2c42aded2afd87

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:571718e7123e169c78de07fe2fde16cffb28df873183b0d4a03aa5b1d8f169ed

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:a44e6ee152835b75ba11893747880eed6e7a3780e100e3c06d347ef43e5e72bf

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:f6d2ba7dd5544e5caf5516100094f926bc4de94157225fc4c5170aeb73c252f7

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:2a2626f1340a45736a7d950fb1983d6f240e7779760331d54295414c76cf9189

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:b403a80bf6a95f7afaab2f332ad17c5b0e327e3419ef14af7bb91f5e482f90ee

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:3dc6296db6ba66c777234ef3e651382625fdb1a733936d8671ef1d40c47f7d3c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:0c06651701e9f0634a13fc2e75e96f56689e04d9d2b7de4081795ec3f619c0dd

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:37bee327ad9a8ca695957751407ffdc5f78ad43371e5f57fabc70ae6f8ca5060

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:f5da7ce1bf16f344f8a5d79fc54f8e9434442285ea687190cd491b77f7565252

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:2237f4a9998c60423021244602a490874e4d640ddde7820e5efa35a98c2b61be

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:42ff214ce00937242796b316a2c292cf8eda16baef3816108f00f851d31bb374

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:56e508d57275aa9868af1d7374eb9cc3f8e2d432381384c429e6b997d70f9ad1

Pith citing papers

No inbound Pith citation observations are available.