Paper Citation Record · LEDGER

A one-dimensional planar Besicovitch-type set

As of 14 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2412.11190.

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

pith.paper-citation-record.v1
2412.11190 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:17:22.177737Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T17:32:16.451420Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy8
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8622eb39-b5e6-49b1-bde2-e98b2c98ba2c · outbound

This paper cites The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets,.

A one-dimensional planar Besicovitch-type set The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.359087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0660c499-98cb-4a6e-b273-26d18084c807 · outbound

This paper cites A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$.

A one-dimensional planar Besicovitch-type set A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T15:17:22.139010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1989db3-669a-41f1-a892-bcc3fbf8bb0d · outbound

This paper cites On the Wolff circular maximal function,.

A one-dimensional planar Besicovitch-type set On the Wolff circular maximal function,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.340132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2468f126-5fbd-47a5-8fb8-f1ec1883a7fd · outbound

This paper cites Hausdorff dimension of Besicovitch sets of Cantor graphs,.

A one-dimensional planar Besicovitch-type set Hausdorff dimension of Besicovitch sets of Cantor graphs,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.322688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2f0a0667-de26-4626-9d22-3b3e1059e0e8 · outbound

This paper cites Closed sets with the Kakeya property,.

A one-dimensional planar Besicovitch-type set Closed sets with the Kakeya property,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.304411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5050335d-9efc-42f5-a970-0431a684786d · outbound

This paper cites The geometry of fractal sets,.

A one-dimensional planar Besicovitch-type set The geometry of fractal sets,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.286480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1b7f3ddc-5e53-4351-a8dc-eed8f6fddf5b · outbound

This paper cites Hausdorff dimension of unions of affine subspaces and of Furstenberg- type sets,.

A one-dimensional planar Besicovitch-type set Hausdorff dimension of unions of affine subspaces and of Furstenberg- type sets,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.270405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ba34c769-d114-467d-aca7-d8be137e93b6 · outbound

This paper cites Mattila, Geometry of sets and measures in Euclidean spaces.

A one-dimensional planar Besicovitch-type set Mattila, Geometry of sets and measures in Euclidean spaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.253642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1eded614-8c2e-4e69-848c-4fcc606154b0 · outbound

This paper cites The Kakeya problem for circular arcs,.

A one-dimensional planar Besicovitch-type set The Kakeya problem for circular arcs,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:17:22.236491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation bdd59d01-cb0a-48a1-97ed-ee598ed930ba · inbound

A short note on the dimension of the CC-geodesic Kakeya sets in the first Heisenberg group cites this paper.

A short note on the dimension of the CC-geodesic Kakeya sets in the first Heisenberg group A one-dimensional planar Besicovitch-type set

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-30T17:32:16.451420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.