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Paper Citation Record · LEDGER

Hausdorff dimension of restricted Kakeya sets

As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2505.05709.

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

pith.paper-citation-record.v1
2505.05709 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:08:59.036932Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 203cbab1-64e9-4f3d-ab8e-a8c2da9703f6 · outbound

This paper cites Bourgain.

Hausdorff dimension of restricted Kakeya sets Bourgain

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:09:00.199663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.686815Z digest=sha256:8a14908e401d90d4b714f0ed97e4391123a88e6371d104269ba8af4ddc43a65e

Observation e9625a85-b7bc-483b-9505-a1c7961f598e · outbound

This paper cites C\'ordoba.

Hausdorff dimension of restricted Kakeya sets C\'ordoba

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:09:00.134148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.767883Z digest=sha256:7cf351a83bcede46f70070ad168c02232b585ccff4cd5d3e19f516ea260560a8

Observation b206e9a3-de91-452a-919f-f455e87c3c7f · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:09:00.043208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.774047Z digest=sha256:d9f254fa33e5a556a3a0914711ee57e174a3a98004bf859d0bf9a89bbdffe049

Observation 04173113-7ead-4fab-8ead-a348f6ab3955 · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T23:08:58.778983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:08:58.778983Z digest=sha256:9d017ef1b5762a8b59c9b9711489c975f29cff27fcc8a2118b8ae6912a150313

Observation aa84f54d-254b-4233-aadc-17b9d22b0872 · outbound

This paper cites Hickman, K.

Hausdorff dimension of restricted Kakeya sets Hickman, K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:08:59.853673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.784597Z digest=sha256:1735b72513c7df0bdb8e606e1133556c1457d9a107fc446cf45b7094d91c45f2

Observation c8b538de-0b22-4f3e-9385-a7725ad921ee · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:08:59.753150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.789958Z digest=sha256:8217b0824824cf43a4b8725b3a4c159851fe1eb1951af7bcf6a7ae53942676d7

Observation 090d06af-2269-4c6e-ae02-ccf77737b179 · outbound

This paper cites Katz and T.

Hausdorff dimension of restricted Kakeya sets Katz and T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:08:59.670197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.797287Z digest=sha256:74b8d24cca2e2e8f457fec71886dbad71688f10f096ddc69d28b59064f75e793

Observation 199b1a73-fb90-46a8-8451-3e410a847f70 · outbound

This paper cites Katz and J.

Hausdorff dimension of restricted Kakeya sets Katz and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:08:59.577742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.825320Z digest=sha256:cb7da13d713fcb978702161cf0f73b9d6a9da7308e6459949c10ca96220c0eb1

Observation 33148913-1606-48ed-b125-a1dec785fea6 · outbound

This paper cites Katz and J.

Hausdorff dimension of restricted Kakeya sets Katz and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:08:59.556169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:58.931637Z digest=sha256:b43b4c733825fc8b5022587fe1c9e056ed14f612be93f9c6f870e3da234168b1

Observation 0ad35cb7-22e8-4958-96a0-0b623c100188 · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:08:59.401797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:59.013483Z digest=sha256:c2a8b650df0ada07a62c62786259573601d56bff0a5fcb71583c691f2cbb44b8

Observation 2d426a61-96ae-4c2e-bec6-768b809fc12e · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:08:59.384452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:59.019372Z digest=sha256:a319b07aba14ac99cfca518331061125d1598c8e27767daa67298cc5626f2d32

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

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

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.

source=arxiv_source observed=2026-08-15T23:08:59.025554Z digest=sha256:e17b22052822b61f0ef45294f9f3e8dc4d94a5068b7feaf4407b9e564a3a3dc3

Observation 28930ff1-c6b1-47ac-aeb0-f1a8027885e2 · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:08:59.334601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:59.031602Z digest=sha256:34aa811d4493c8280e72c95bd8fece00958e04d34d8dbf6aa03f2978e7865a24

Observation b2091e18-5285-4841-9c05-439184364f2e · outbound

This paper cites an unresolved cited work.

Hausdorff dimension of restricted Kakeya sets Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:08:59.157758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T23:08:59.036932Z digest=sha256:9ed166298280dad5360411230b4a7454e9fe5f1d1fd70f3064117718cdbb6110

Pith citing papers

No inbound Pith citation observations are available.