Introduction to the proof of the Kakeya conjecture

Larry Guth

Introduction to the proof of the Kakeya conjecture

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2505.07695 v1 pith:3FTPCTVL submitted 2025-05-12 math.CA

Larry Guth This is my paper · ORCID

classification math.CA

keywords kakeyaproofconjectureproblemworkannouncedarticledescribe

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

Recently, Hong Wang and Joshua Zahl announced a proof of the 3-dimensional Kakeya conjecture. This is a survey article on the proof of Kakeya. We introduce the problem, discuss previous work and some of the difficulties of the problem, and describe the new ideas in the recent work.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Survey of the Kakeya conjecture, 2000-2025
math.CA 2025-12 conditional novelty 2.0 of 10

An authoritative survey of the Kakeya conjecture (2000–2025), organized around the recent proof that Besicovitch sets in R^3 have full Hausdorff and Minkowski dimension 3.

Pith tools