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Paper Citation Record · LEDGER

A construction of Kakeya Sets in Arbitrary Dimension

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2607.14824.

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

pith.paper-citation-record.v1
2607.14824 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:09:09.927932Z

measured 22 of 22 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:35:30.230103Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:35:30.338144Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 665cba99-5028-4bcc-b372-c628f5f0b76d · outbound

This paper cites A Remark on reverse Littlewood-Paley, restriction and Kakeya.

A construction of Kakeya Sets in Arbitrary Dimension A Remark on reverse Littlewood-Paley, restriction and Kakeya

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.115839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.115839Z digest=sha256:f1df253610483afc49a1dc7a33b974f555f38ac44257868487aa7b6bed005968

Observation 7dba5819-54ad-4192-a651-92f29d3f4fab · outbound

This paper cites https://mathoverflow.net/q/491104 , URL =.

A construction of Kakeya Sets in Arbitrary Dimension https://mathoverflow.net/q/491104 , URL =

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.238445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.238445Z digest=sha256:32fbf1a8f19da2d93e3ae364558385bb246f03b6c3a9f07acd00ca79cb1d4f36

Observation ac3ecf00-8e97-4464-b914-f2aa140343e7 · outbound

This paper cites an unresolved cited work.

A construction of Kakeya Sets in Arbitrary Dimension Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.377238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.377238Z digest=sha256:d41c56e63c8d728371f91eb11934437d473eb677c24c6e90c3063744a2d3270f

Observation bdd68272-79fa-47c6-89bb-9c12fc147624 · outbound

This paper cites an unresolved cited work.

A construction of Kakeya Sets in Arbitrary Dimension Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-02T01:14:13.777403Z

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=arxiv_source observed=2026-08-02T01:09:07.494487Z digest=sha256:1c1a2e88d82c4573a1437a55ce9107023f7b3a806e5b549750416b0b2945abbb

Observation 7e85ca52-7051-41f6-8714-067fe6e719dd · outbound

This paper cites Duke Math.

A construction of Kakeya Sets in Arbitrary Dimension Duke Math

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.587021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.587021Z digest=sha256:5393fda7c15401498ba9f6d8d3872cd4fa58332548fd0d9fff5a45ce80ee4958

Observation 98dd1fd9-c687-4655-ba01-e9bf1a1bd335 · outbound

This paper cites Kakeya conjecture and High-Rank Lattice von.

A construction of Kakeya Sets in Arbitrary Dimension Kakeya conjecture and High-Rank Lattice von

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.673985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.673985Z digest=sha256:74bd66023abd518d4b9bdf030620b075ef99dc98823fe31ee7b42e91ab82f853

Observation 04661947-cd0c-45ca-809c-7a0c902099bb · outbound

This paper cites Differentiation of integrals in ^n , publisher=.

A construction of Kakeya Sets in Arbitrary Dimension Differentiation of integrals in ^n , publisher=

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.712230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.712230Z digest=sha256:de6445cbfce1768f959ad97bf6e0f2ad218ae3eef8b56f93c2633e7425e2cf75

Observation 40b91ae8-98ae-4c01-9082-d7ddf11e6517 · outbound

This paper cites The Bulletin of the London Mathematical Society , volume=.

A construction of Kakeya Sets in Arbitrary Dimension The Bulletin of the London Mathematical Society , volume=

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.838281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.838281Z digest=sha256:fa0e25cf34e2a2da4c36426708a8e15847bd08ee5cf9b69b9fc193f84fe589e0

Observation e52f40fb-4d47-40e5-9ab5-d4ff2ad69086 · outbound

This paper cites Sperner's colorings, hypergraph labeling problems and fair division , series=.

A construction of Kakeya Sets in Arbitrary Dimension Sperner's colorings, hypergraph labeling problems and fair division , series=

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:07.930580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:07.930580Z digest=sha256:5bf29eb40f73bca303c72b5cdde7fd010d6d035cd2620951c9333dfafd6d93af

Observation d4988f69-7bdf-4780-837d-6787929f97f6 · outbound

This paper cites Remarks on.

A construction of Kakeya Sets in Arbitrary Dimension Remarks on

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.009700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.009700Z digest=sha256:a48593bd880ba6f5d379efe28390a3a8f743a57e77502bad5e7943176da24664

Observation d3f8d825-7fbd-46a6-bc50-a819918cd4cc · outbound

This paper cites The multiplier problem for the ball , journal=.

A construction of Kakeya Sets in Arbitrary Dimension The multiplier problem for the ball , journal=

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.165782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.165782Z digest=sha256:76d0fa5751dc68ff3968cff42b4c0e118bbb407e3a2219d4567a6bed9bb9af39

Observation 3f718976-d6b9-4590-b927-9e86ab8291fe · outbound

This paper cites an unresolved cited work.

A construction of Kakeya Sets in Arbitrary Dimension Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.304843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.304843Z digest=sha256:793a526a616385b5ef7f37c6a4b821359f9e4ba951a63ad04b1e4870ce2eaa7a

Observation 64198e2f-d91f-40b9-b7c8-58ff6d6fb3d7 · outbound

This paper cites Volume estimates for unions of convex sets, and the.

A construction of Kakeya Sets in Arbitrary Dimension Volume estimates for unions of convex sets, and the

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.425890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.425890Z digest=sha256:81f14c453a2fadd161cf94833cf1137efdd694a454359bd4da278dd6a1de9a9a

Observation ebfd060f-bd0c-43ad-98a8-678c8b070ea2 · outbound

This paper cites Recent work connected with the.

A construction of Kakeya Sets in Arbitrary Dimension Recent work connected with the

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.660010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.660010Z digest=sha256:212f477eeebb39b1674cac768ae8f7f4778049e0584de3234e84d5ef293145d3

Observation 989d597e-7a5c-407b-a59e-f49e8e118635 · outbound

This paper cites Some remarks on the.

A construction of Kakeya Sets in Arbitrary Dimension Some remarks on the

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:08.849995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:08.849995Z digest=sha256:323ef6e57981381390fc2714a4e967d56d58e7c2b900cad844aaeebc752a24a5

Observation abdd0f00-6243-4725-8224-25645030190a · outbound

This paper cites 2021 , MONTH = Jun, DOI =.

A construction of Kakeya Sets in Arbitrary Dimension 2021 , MONTH = Jun, DOI =

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:09.000285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:09.000285Z digest=sha256:1923b3227da787141f57ba31e6b6e98e82ac8f9cee4e69cf62b662227e17e848

Observation 1bff712d-031b-42eb-a3f9-c57545fd63c9 · outbound

This paper cites an unresolved cited work.

A construction of Kakeya Sets in Arbitrary Dimension Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:09.160127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:09.160127Z digest=sha256:43746fadfd5aace0d887acd1888877ca2ea6c3b6546d48cfdb13984344748e9d

Observation 5a0241d5-7db8-48a3-b67f-33732ce1e1da · outbound

This paper cites Grayson , year=.

A construction of Kakeya Sets in Arbitrary Dimension Grayson , year=

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:09.305190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:09.305190Z digest=sha256:6cf9f2bbc2f672685ea26fae57ccc7c339bd27ec72166a707fc9b0b6c789e67c

Observation 8e9272c0-7e76-4fbc-9e8e-f2c2c1ca02b3 · outbound

This paper cites Simplicial mesh generation with applications , abstract=.

A construction of Kakeya Sets in Arbitrary Dimension Simplicial mesh generation with applications , abstract=

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:09.511585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:09.511585Z digest=sha256:1358000055f3943ac199f350677c11eb6e665fe2e04fe28c0f60e3f3af8ddeed

Observation 937b600a-65fb-45fa-9e63-9131524c877a · outbound

This paper cites Simplizialzerlegungen von.

A construction of Kakeya Sets in Arbitrary Dimension Simplizialzerlegungen von

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T01:09:09.772552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T01:09:09.772552Z digest=sha256:0d92c93e3b2171a8fda6a6df02dcbfefee4e6df66e2494efbd8e45aa06fd6f57

Observation f9723131-149a-4b1c-af74-395b6c4b7278 · outbound

This paper cites A note on spherical summation multipliers.

A construction of Kakeya Sets in Arbitrary Dimension A note on spherical summation multipliers

Reference 21

Resolution
verified exact
doi, observed 2026-08-02T01:14:13.701760Z

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=arxiv_source observed=2026-08-02T01:09:09.927932Z digest=sha256:88c1e640d2ebe1dd3bc0d5382bf1edc2f83073010baa55339821b326c80854dd

Pith citing papers

Observation 8b06594e-e069-4c62-a8c0-2dd0b512c50d · inbound

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set cites this paper.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set A construction of Kakeya Sets in Arbitrary Dimension

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:35:30.343378Z

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=2026-08-12T00:35:30.230103Z digest=sha256:715bd8b456bc454b1afb546fded5d5d1ee9680a35cea023fbf71ea232645fdcc