Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2502.17655.

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

pith.paper-citation-record.v1
2502.17655 v1

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 19 of 19 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 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:08:59.025554Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T14:58:33.569094Z

Reference resolution

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verified exact0
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External citation measurements

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Outbound references

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Pith citing papers

Observation 19a00ba6-e58b-421e-ab1e-87cad7dbe8df · inbound

Hausdorff dimension of restricted Kakeya sets cites this paper.

Hausdorff dimension of restricted Kakeya sets Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:08:59.025554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Introduction to the proof of the Kakeya conjecture cites this paper.

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.

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

Fourier analytic properties of Kakeya sets in finite fields cites this paper.

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.

Observation e46b7c98-177c-4953-9bdd-0aaca1e51288 · inbound

A non-sticky Kakeya set of Lebesgue measure zero cites this paper.

A non-sticky Kakeya set of Lebesgue measure zero Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T19:12:20.159347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aae78a8-12b5-49f8-961a-3d6737058613 · inbound

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ cites this paper.

A refined trilinear Kakeya estimate in $\mathbb{R}^3$ Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T18:56:04.847360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6f65d54-8b31-49c4-a081-825444bb7662 · inbound

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions cites this paper.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T18:36:23.453967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ad9f4e9-002b-4768-8e53-cd55c6730835 · inbound

On the packing dimension of unions and extensions of $k$-planes cites this paper.

On the packing dimension of unions and extensions of $k$-planes Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T17:05:52.091965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bcc78cf-9e07-4907-8b11-00973b8d6603 · inbound

Mathematical exploration and discovery at scale cites this paper.

Mathematical exploration and discovery at scale Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 299

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T01:20:34.587269Z

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 a4068a7a-d815-4230-b00c-eb430c63dc33 · inbound

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

Bourgain's condition, sticky Kakeya, and new examples Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 8

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T22:55:24.855122Z

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 be0c340d-872d-4ce4-9545-90fce7629bd7 · inbound

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

A Survey of the Kakeya conjecture, 2000-2025 Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T17:34:43.594830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a879ae68-6348-482c-885e-e05962d4c738 · inbound

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids cites this paper.

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-21T17:10:25.208436Z

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 7c438c83-f20b-4739-a118-f415b0ced261 · inbound

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids cites this paper.

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T13:36:05.630050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5510bb96-a3e4-48e7-bd82-21af16b530e3 · 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 Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T19:36:40.186331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 019605d1-a65d-495f-bbff-9b2a9519b18c · inbound

The Kakeya conjecture, after Wang and Zahl cites this paper.

The Kakeya conjecture, after Wang and Zahl Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 31

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T18:08:15.805058Z

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 a2b11779-0401-4e76-9fbb-7c09c8f5eeb3 · inbound

Fourier analytic variants of the Furstenberg and Kakeya problems cites this paper.

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 2026-08-18T06:34:40.430872+00:00.

Observation 720fdc28-ed14-49bc-ba9a-1d3d4f173cbc · inbound

Monochromatic $k$ in a row cites this paper.

Monochromatic $k$ in a row Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T14:58:33.570800Z

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 d8267ebf-d919-47c0-bd31-27a17a18e6a6 · inbound

A short note on the dimension of the CC-geodesic Kakeya sets in the first Heisenberg group cites this paper.

A short note on the dimension of the CC-geodesic Kakeya sets in the first Heisenberg group Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:18.588182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6460fd10-a761-4356-912a-5110624e3ab3 · inbound

Curved Kakeya problems and the projective geometry of paths cites this paper.

Curved Kakeya problems and the projective geometry of paths Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.648065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0685cb53-286a-4c9c-82ef-2b06e6425d02 · inbound

On the Assouad dimension of Weierstrass function graphs cites this paper.

On the Assouad dimension of Weierstrass function graphs Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:36.137261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.