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Paper Citation Record · LEDGER

Hausdorff dimension of restricted Kakeya sets

As of 20 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:a568def000acf4b8e3d6b6430d7c8e98e39b2d55d8f17ab58eb97141b64e711d

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=sha256:38e0218b36a293f96502ff37a540c36ecadf9d1911ec1f5e06947da525059b92

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=sha256:8d06e7364f043580f5df861be57216ab8c515cadcb9e5706aa225b13e131d445

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:b4240271c421c0a9f8f60b581e879278fb719bc3ce8ef730369b814c730b4e17

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=sha256:87098be5fecd74ef2c6c36f831576379e0ba7d1f194a29484db771e93a3757d3

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=sha256:8a585f6348ba95465358336c0a0ee8e7444da2ea5d297937da4de1fe2a3b9acb

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=sha256:7ee0ab71076cd2dcf657b792230c30904a756505cb546b6f7548bb06feb5f1cc

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=sha256:5857da85daeac781690696173ef4f27c64b4b7f4b939b8931d65def0ca9873e3

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:cc114e14b5202823365f7cb3f085f7b0723ee5dca83f74787cbc55b8ad668536

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:c5bfe6cd22e4bf66e9c63c29fd6e94c5b00123d1cae3667c0ee0ccc94ade6399

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:c3f0d9b4d30b524521b20a352b404d60d50ab06a7d0765442e607339af7ee543

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=sha256:6977d714701197022ea4ba03fb1d31e58e38d2030a1d0e52bd3009c28524ed5d

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=sha256:43f255b9ab15bcbcae2af5be6cb40c053e6234f6508eef216178f41c5c5e904a

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:b21a867305bb088eed364e233c635fcdd972261aaf02138f49eb251861cb5ac8

Pith citing papers

No inbound Pith citation observations are available.