Paper Citation Record · LEDGER

Generalized Arithmetic Kakeya

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2411.13395.

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

pith.paper-citation-record.v1
2411.13395 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:42:55.997338Z

measured 28 of 28 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

28 of 28 outbound references displayed

verified exact0
verified fuzzy22
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc74288e-1228-4773-bdaa-d8034ce7dac0 · outbound

This paper cites On Kakeya’s problem and a similar one.

Generalized Arithmetic Kakeya On Kakeya’s problem and a similar one

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.503316Z

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.

Observation 6d61ffaf-0b7e-4c47-9767-4eaec8aaab5b · outbound

This paper cites The kakeya problem.

Generalized Arithmetic Kakeya The kakeya problem

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.489715Z

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.

Observation b3dfc19a-f502-4130-826d-55ba15be0354 · outbound

This paper cites Besicovitch type maximal operators an d applications to Fourier analysis.

Generalized Arithmetic Kakeya Besicovitch type maximal operators an d applications to Fourier analysis

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.475749Z

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.

Observation aab162fd-9aa5-45e3-b6af-bc1a7a104926 · outbound

This paper cites Bourgain, λ p-sets in analysis: results, problems and related aspects, i n: Handbook of the geometry of Banach spaces, Vol.

Generalized Arithmetic Kakeya Bourgain, λ p-sets in analysis: results, problems and related aspects, i n: Handbook of the geometry of Banach spaces, Vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.462488Z

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.

Observation 72873cf7-73dd-4166-a0d0-edfa35f8eea5 · outbound

This paper cites Some remarks on the Kakeya problem.

Generalized Arithmetic Kakeya Some remarks on the Kakeya problem

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.448110Z

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.

Observation 14ebc9f1-3abf-40e4-95cc-d906837b9d86 · outbound

This paper cites an unresolved cited work.

Generalized Arithmetic Kakeya Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:42:56.433672Z

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.

Observation a6f18ccf-77dc-4a3b-8efb-a3482a638546 · outbound

This paper cites Ellenberg, D.

Generalized Arithmetic Kakeya Ellenberg, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.419454Z

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.

Observation ef7b41c5-0727-4aa5-8de9-50a97de9a94c · outbound

This paper cites Improv ed bounds for the Kakeya maximal conjecture in higher dimensions.

Generalized Arithmetic Kakeya Improv ed bounds for the Kakeya maximal conjecture in higher dimensions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.404834Z

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.

Observation 38230d69-f699-4a8e-8409-b64766ccc087 · outbound

This paper cites On a conjecture of Marton.

Generalized Arithmetic Kakeya On a conjecture of Marton

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T16:42:55.910777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab5f419a-78de-4e55-942b-7f256f669bcc · outbound

This paper cites Marton's Conjecture in abelian groups with bounded torsion.

Generalized Arithmetic Kakeya Marton's Conjecture in abelian groups with bounded torsion

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T16:42:55.915610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e43704f6-1507-40dc-9984-cff4edfea9b1 · outbound

This paper cites Green, F.

Generalized Arithmetic Kakeya Green, F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.390342Z

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.

Observation 74bf8cbc-88fe-4aa4-a4a0-475207f3259c · outbound

This paper cites Green, I.

Generalized Arithmetic Kakeya Green, I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.376427Z

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.

Observation b2eb53a7-cbf8-4565-8a66-3bb064dff543 · outbound

This paper cites Katz and T.

Generalized Arithmetic Kakeya Katz and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.362551Z

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.

Observation c402e5b7-ad76-4525-ba08-eb907c2a0cd2 · outbound

This paper cites Recent progress on the Kakeya conje cture.

Generalized Arithmetic Kakeya Recent progress on the Kakeya conje cture

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.348554Z

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.

Observation 2b416efb-e449-465b-93db-d82ae9a0bbcc · outbound

This paper cites Katz and T.

Generalized Arithmetic Kakeya Katz and T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.333274Z

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.

Observation 92f7736c-588d-4ad1-95b6-2936a3113b5a · outbound

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

Generalized Arithmetic Kakeya An improved bound on the Hausdorﬀ d imension of Besicovitch sets in R3

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.318143Z

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.

Observation eccbb008-b3ac-4cba-9ddb-f2e00e30e3b1 · outbound

This paper cites New counterexamples for sums-diﬀerences.

Generalized Arithmetic Kakeya New counterexamples for sums-diﬀerences

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.303364Z

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.

Observation d153db80-3a42-4753-aeab-09cfd8fbfdfb · outbound

This paper cites Bounds for Kakeya-type maximal operators associated with k-planes.

Generalized Arithmetic Kakeya Bounds for Kakeya-type maximal operators associated with k-planes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.288844Z

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.

Observation 909b23b5-dce6-4854-a36c-966b77089ad5 · outbound

This paper cites The ( d, k ) Kakeya problem, and estimates for the X-ray transform.

Generalized Arithmetic Kakeya The ( d, k ) Kakeya problem, and estimates for the X-ray transform

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.274040Z

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.

Observation 44cdb8df-f780-4150-b3ca-037253ffa19e · outbound

This paper cites Two bounds for the X-ray transform.

Generalized Arithmetic Kakeya Two bounds for the X-ray transform

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.259681Z

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.

Observation 74d408fb-1aad-4189-9fd4-8ae3bc3a95db · outbound

This paper cites an unresolved cited work.

Generalized Arithmetic Kakeya Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:42:56.244622Z

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.

Observation 35ec4757-d830-463c-8237-bde89405431a · outbound

This paper cites Tao, From rotating needles to stability of waves: eme rging connections between combinatorics, analysis, and PD E, Notices Amer.

Generalized Arithmetic Kakeya Tao, From rotating needles to stability of waves: eme rging connections between combinatorics, analysis, and PD E, Notices Amer

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.228982Z

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.

Observation f626cce1-9eac-4410-aa76-4270fad23b0b · outbound

This paper cites Edinburgh lecture notes on the Kakeya problem.

Generalized Arithmetic Kakeya Edinburgh lecture notes on the Kakeya problem

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.214029Z

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.

Observation 6bb30653-9249-4143-9b60-5f15863bc34c · outbound

This paper cites Tao, Sumset and inverse sumset theory for Shannon ent ropy.

Generalized Arithmetic Kakeya Tao, Sumset and inverse sumset theory for Shannon ent ropy

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.199150Z

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.

Observation c2ae7539-3682-44d9-817d-756c4ea50fb2 · outbound

This paper cites Tao, and Van H.

Generalized Arithmetic Kakeya Tao, and Van H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.184956Z

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.

Observation 97a47338-4e13-4eb3-add0-63e2a66bf9cf · outbound

This paper cites Sticky Kakeya sets and the sticky K akeya conjecture.

Generalized Arithmetic Kakeya Sticky Kakeya sets and the sticky K akeya conjecture

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T16:42:55.987476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74184b9c-b741-4cf2-a533-ec703bdc52dd · outbound

This paper cites The Assouad dimension of Kakeya sets in $\mathbb{R}^3$.

Generalized Arithmetic Kakeya The Assouad dimension of Kakeya sets in $\mathbb{R}^3$

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T16:42:55.992152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc5118a1-3673-4598-bef1-6f35e243bced · outbound

This paper cites New Kakeya estimates using Gromov’s algebrai c lemma.

Generalized Arithmetic Kakeya New Kakeya estimates using Gromov’s algebrai c lemma

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:42:56.170314Z

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.

Pith citing papers

No inbound Pith citation observations are available.