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Paper Citation Record · LEDGER

Generalized Arithmetic Kakeya

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.871495Z digest=sha256:cd80cbab643641419c3154986b2c4782933a934f3f1c7aabb7dc833415b74bc0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.877159Z digest=sha256:f28fbe3e703057d3781505964c1f6ba132d7e6f51c14456ea44d28573f8eef31

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.881865Z digest=sha256:43a35bebf3706c19ef035062d8630a8db76da04d9d6537340fe826a811ed7bd4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.886827Z digest=sha256:58c131ebc889739abaddd4a6435cd24171bd5ed27fde9f0171d76f6810b79673

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.891416Z digest=sha256:9891b33208bd0170e2d278ace9cc990014f58ce23d0901150050d1b070eca6a9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.896245Z digest=sha256:819acf666a48606870ef2a4f5c4dd696e51ee57319b39d42a57aa53bf78fec66

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.901970Z digest=sha256:70c677ed0849d6b9861c999d5bb3c7dc3e50342844e61f388bdf6b77c7c50419

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.906431Z digest=sha256:f73f2268b734aefc8dba57f55a82d1a367819185dfdc59896b296b65be4b7da0

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.

source=pdf_text observed=2026-08-12T16:42:55.910777Z digest=sha256:206a4211253cdc357c4612852427ab35daaa05cc8426be26fe49a055b017dde6

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.

source=pdf_text observed=2026-08-12T16:42:55.915610Z digest=sha256:bfacf318236b6a2ebba71567607e1d811f9cfc9f5627ab6b737181402a83c218

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.920464Z digest=sha256:671ea02ab4918ef5cbf971cb59a8fe0914d25b6438ab82b29cc64dc255538b4b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.925039Z digest=sha256:5714ecde3ea232ebcf1fb9fda765f683334afeab5f27337f9b48db864ff5ec69

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.929446Z digest=sha256:097b332ac451656bfbdc069009ee45b05d07b9cd56f3cfeca2497090f68489c0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.933906Z digest=sha256:934db44267402acf4fbb8c0e1d75d668d1ff9d2e3c55b17070dafbda0c726cd9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.938476Z digest=sha256:d0c7fe754061bd82df15d176726746268944517bea341a3b1db7376d254d5893

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.942893Z digest=sha256:9211ede71f06f815f2f47173ce15104f341c9e964e98369a40588b3e9bc106df

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.947272Z digest=sha256:70c2e9b95df0ce1782a8e41d0fd7b4a7b7c0956d7b03db74c9209d721229a850

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.951749Z digest=sha256:cdb05ec1928a33857c85da326aace53adfc68010a0b85ed26a043b39a5784bc4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.956003Z digest=sha256:f55d6b2e6558522254b2914cdd7e133434a35e9996f393d972966118130b823f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.960372Z digest=sha256:bce3d50e9cc14d3c797a7267efab8edb952a1a01efdbf209c13e4340c05fe068

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.964759Z digest=sha256:3e4e42b5b7d67e3866e4e49a62fd8ddc2691ccc12bfcb20074cc0373fff1de12

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.969100Z digest=sha256:dc08c5cfb8ca00c8ee147613f5126f2b99c684fda54a0e18981fdb6de8b27dbb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.973616Z digest=sha256:256354605576e65ca47ca7d72823b8bfb5758cc49b573469ec81728cf6971bd3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.978223Z digest=sha256:8838884ea7b3eb635c9e6797ee3ff584b19be39b99f4a29d55cebedf20faf408

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.982478Z digest=sha256:c9f4f1ca175b99cf06ba8fe00c0e677eaf6838a0e1cc2361c4e8e10024b68b47

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.

source=pdf_text observed=2026-08-12T16:42:55.987476Z digest=sha256:5502500e1e0ce909c9e704999891118994bc9513d23b314578ac98e253f5341e

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.

source=pdf_text observed=2026-08-12T16:42:55.992152Z digest=sha256:a99969c7dae60aa6ef662bf97e979feb1501ced4711e1dca36773b2c8cfd0d50

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T16:42:55.997338Z digest=sha256:1fc9b47a577143d1401d4b537afe2d47ddb10f4d2231223d19ad1e2c695c58db

Pith citing papers

No inbound Pith citation observations are available.