Paper Citation Record · LEDGER

Introduction to the proof of the Kakeya conjecture

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.07695.

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

pith.paper-citation-record.v1
2505.07695 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:15:01.650326Z

measured 20 of 20 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:34:40.476294Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T22:55:24.829460Z

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy7
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37c5e276-1ec7-4906-85f2-43fc9e9b2852 · outbound

This paper cites On the Erd˝ os-Volkmann and Katz-Tao ring conjectures.

Introduction to the proof of the Kakeya conjecture On the Erd˝ os-Volkmann and Katz-Tao ring conjectures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.578745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0f57b20-ace1-4c3b-9c1a-e745077c8491 · outbound

This paper cites Lp estimates for oscillatory integrals in several variables.

Introduction to the proof of the Kakeya conjecture Lp estimates for oscillatory integrals in several variables

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.960294Z

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.

Observation d8e22aca-4f93-4eab-ba54-8488464ff022 · outbound

This paper cites The proof of the l 2 decoupling conjecture.

Introduction to the proof of the Kakeya conjecture The proof of the l 2 decoupling conjecture

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.945890Z

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.

Observation 535a7e4d-9667-449a-afce-95acb928dafa · outbound

This paper cites On the multilinear restriction and Kakeya conjectures.

Introduction to the proof of the Kakeya conjecture On the multilinear restriction and Kakeya conjectures

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.932442Z

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.

Observation 9c4cd741-e96f-41d6-ab7f-b812798657f4 · outbound

This paper cites A short proof of the multilinear Kakeya inequality.

Introduction to the proof of the Kakeya conjecture A short proof of the multilinear Kakeya inequality

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.918080Z

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.

Observation 94da4b54-3671-40f2-bfcc-dae8e4706b11 · outbound

This paper cites Incidence estimates for well spaced tubes.

Introduction to the proof of the Kakeya conjecture Incidence estimates for well spaced tubes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.598935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 517daecb-0b3a-4806-8ba0-7acb4d89bcac · outbound

This paper cites An improved bound on the Minkowski dimension of Besicovitch sets in R 3.

Introduction to the proof of the Kakeya conjecture An improved bound on the Minkowski dimension of Besicovitch sets in R 3

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.603435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9b5ef40-ce50-499e-ae37-5c319846b48d · outbound

This paper cites An improved bound on the Hausdorff dimension of Besicovitch sets in R3.

Introduction to the proof of the Kakeya conjecture An improved bound on the Hausdorff dimension of Besicovitch sets in R3

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.886804Z

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.

Observation 380c18f0-96d9-4498-b630-f0aa0d0c420e · outbound

This paper cites ”New bounds on the dimensions of planar distance sets.” Geometric and Functional Analysis 29.6 (2019): 1886-1948.

Introduction to the proof of the Kakeya conjecture ”New bounds on the dimensions of planar distance sets.” Geometric and Functional Analysis 29.6 (2019): 1886-1948

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.613585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dfae1aa-f910-4de8-9ee7-77da15ee4eb3 · outbound

This paper cites On the distance sets of Ahlfors–David regular sets.

Introduction to the proof of the Kakeya conjecture On the distance sets of Ahlfors–David regular sets

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.617062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8be1cd2-5bac-462a-9c35-9ee4139237b8 · outbound

This paper cites On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane.

Introduction to the proof of the Kakeya conjecture On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.620804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a18532f9-f78d-43b3-bda2-5765314f9cd4 · outbound

This paper cites Projections, Furstenberg sets, and the ABC sum-product problem.

Introduction to the proof of the Kakeya conjecture Projections, Furstenberg sets, and the ABC sum-product problem

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.624579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5967d436-501c-4c29-85da-be911958efa0 · outbound

This paper cites Kaufman and Falconer estimates for radial projections and a continuum version of Beck’s theorem.

Introduction to the proof of the Kakeya conjecture Kaufman and Falconer estimates for radial projections and a continuum version of Beck’s theorem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.628652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f11c7d2-4b1e-474a-a251-03adf5c5c9e5 · outbound

This paper cites Furstenberg sets estimate in the plane.

Introduction to the proof of the Kakeya conjecture Furstenberg sets estimate in the plane

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.632615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2089494-de3c-468a-9237-37f311a2becb · outbound

This paper cites Stickiness, graininess, planiness, and a sum-product approach to the Kakeya problem.

Introduction to the proof of the Kakeya conjecture Stickiness, graininess, planiness, and a sum-product approach to the Kakeya problem

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.840089Z

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.

Observation 88115a40-a9f0-4d2d-a295-12cbf4d2cc18 · outbound

This paper cites A new bound for finite field Besicovitch sets in four dimensions.

Introduction to the proof of the Kakeya conjecture A new bound for finite field Besicovitch sets in four dimensions

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:15:01.823774Z

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.

Observation 9c0b9f90-5c81-437b-9849-8764f2e3b024 · outbound

This paper cites Sticky Kakeya sets and the sticky Kakeya conjecture,.

Introduction to the proof of the Kakeya conjecture Sticky Kakeya sets and the sticky Kakeya conjecture,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.645553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03ba1299-155c-4939-b0b2-2222330711fa · outbound

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

Introduction to the proof of the Kakeya conjecture Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T22:15:01.650326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0f838b17-757d-43d7-ab22-71050fd0ea56 · inbound

Bourgain's condition, sticky Kakeya, and new examples cites this paper.

Bourgain's condition, sticky Kakeya, and new examples Introduction to the proof of the Kakeya conjecture

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:55:24.832454Z

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.

Observation 4bec52ba-78c4-4f84-b7ca-e7e8cf6e9964 · inbound

A Survey of the Kakeya conjecture, 2000-2025 cites this paper.

A Survey of the Kakeya conjecture, 2000-2025 Introduction to the proof of the Kakeya conjecture

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T17:34:40.476294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.