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Paper Citation Record · LEDGER

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.08201.

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

pith.paper-citation-record.v1
2608.08201 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:35:30.276972Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50e8b465-90d2-4ae8-8690-28ff8e3d4a34 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.625648Z

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=2026-08-12T00:35:30.185492Z digest=sha256:f27ab5140dd0c254d4bae4edc3fa26db21bb6c0377f896e5c12a73f4735b43fe

Observation d14848f1-fa3b-4a0f-baae-b89fc512ff04 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.610124Z

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=2026-08-12T00:35:30.191046Z digest=sha256:ccfd9d75af862b3d30ea9d2b665cee63a9af3101739941f31aa1fb04464d23d4

Observation 606dbb86-0ec8-4bcd-b412-c51dab4ff5e1 · outbound

This paper cites Bourgain.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Bourgain

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.594473Z

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=2026-08-12T00:35:30.195711Z digest=sha256:1441256cd1a6e7d5807bf7759aec13b082464f70e0e470777652a5175cd03dfa

Observation a11f7d93-28d0-4eba-a13c-b8b2b7d9b59a · outbound

This paper cites Chang and M.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Chang and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.579340Z

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=2026-08-12T00:35:30.200784Z digest=sha256:ed8239f5c6c01e9ed9c4a5d724a82f64ed7f66cea48eec781c8243753b54666d

Observation b33034c7-e623-4077-9237-d60db52ee2c3 · outbound

This paper cites Chang, G.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Chang, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.564054Z

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=2026-08-12T00:35:30.205928Z digest=sha256:d833d0e5ac509c7f83b9c60367b97db108864bebeb93c66e203d94a59cd15461

Observation 7f6cbcb6-73d1-43e2-8060-ac20bfffaebe · outbound

This paper cites Cs¨ ornyei, K.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Cs¨ ornyei, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.549659Z

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=2026-08-12T00:35:30.210984Z digest=sha256:c8eb5073c140dae6dea9e4f5fa274b2a9d7d6f16048feb13d133339d0143bea8

Observation c1d6fda1-921a-4b89-8d22-5055c549614d · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.535042Z

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=2026-08-12T00:35:30.216322Z digest=sha256:01b331638520ed575744044995655b811d1f27b2b0425f1335b4abbf3652073e

Observation 8cd29ad7-72c0-4e02-9a54-ab8d6ab9280b · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.519716Z

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=2026-08-12T00:35:30.221034Z digest=sha256:cd6ab3d80ae60dd609a2f6032abaf97969f1f4d191a0715aa4e19e946f3fea1a

Observation 964d3d78-95e3-4fb6-a7a0-f964cbb11fc2 · outbound

This paper cites Federer.Geometric measure theory.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Federer.Geometric measure theory

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.502777Z

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=2026-08-12T00:35:30.225633Z digest=sha256:c87dd29141c6931c13f5e25774a255a0cae308556038bebbfe635ff581a315e1

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

This paper cites A construction of Kakeya Sets in Arbitrary Dimension.

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

Observation 835d28ac-142c-476f-bd23-929fb95e33de · outbound

This paper cites Hickman and J.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Hickman and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.487710Z

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=2026-08-12T00:35:30.234951Z digest=sha256:dc3a1f34c03aad3093f43358f9ad8895db3f349173397828fc7e200b372c9a57

Observation 1e96fa1b-44f9-4986-a5f0-4e6ee804cf73 · outbound

This paper cites Positive Measure of Unions of Variable Surfaces.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Positive Measure of Unions of Variable Surfaces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:35:30.320674Z

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=2026-08-12T00:35:30.239552Z digest=sha256:e2fd5d17d9e9ff32a032a8a79caf789fcb1b255a03677603f6b17f67cc478aa7

Observation 5bbd5a29-2a0a-4573-92f5-f9f108eecf63 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.472551Z

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=2026-08-12T00:35:30.244728Z digest=sha256:804ebbfa294485a581e6d97755600b9358cd5354af70cf3c188c35c0b112dd61

Observation 9c286fd1-2879-446c-b6d7-63a0f2261e6b · outbound

This paper cites Lin and X.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Lin and X

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.456583Z

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=2026-08-12T00:35:30.249259Z digest=sha256:6c7f70427c07d7d512a1792c3746161602632fb089bdb2ed2f218c1e90e194c9

Observation 03fdbea2-cdd9-4ffe-ada2-4e3c75e1dfa9 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.441426Z

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=2026-08-12T00:35:30.253784Z digest=sha256:0047c658b4c71e3c289fd01e4c09f01242affc4b72be3f16b106cb7a2992ef03

Observation 56df53b0-35eb-4ba9-b930-9d28893d7bbc · outbound

This paper cites Mattila.Fourier Analysis and Hausdorff Dimension.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Mattila.Fourier Analysis and Hausdorff Dimension

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.426038Z

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=2026-08-12T00:35:30.258359Z digest=sha256:009845ed2e53edab078729f74257447bcd6319699d71f577b13cb946d868b083

Observation 93bc8952-3aef-41c3-aaa3-865c1e9e1521 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.409611Z

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=2026-08-12T00:35:30.262950Z digest=sha256:98cd0d6c7a1da5cfbfef8537220c7a52a76f4c2c28b4741330a7aaf1b0ec8f9f

Observation 036d9211-7ac5-4edd-8c07-4d20933ffd81 · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.391686Z

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=2026-08-12T00:35:30.267433Z digest=sha256:f3f4e2ce5f1674e890f163ee55512c9853baa5d07830a948268a6d7353da4fa0

Observation 7b4a9aae-6343-43cf-8e6e-bec8ff13b06b · outbound

This paper cites an unresolved cited work.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:35:30.374855Z

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=2026-08-12T00:35:30.272549Z digest=sha256:fd9a649c2779f7ce48221588cb91fb030c3c620665f4411c0d3606ff84602eeb

Observation acdf40d5-3cc5-4a5b-bc26-fb77e0aefaaf · outbound

This paper cites Yang and Y.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Yang and Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:35:30.359038Z

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=2026-08-12T00:35:30.276972Z digest=sha256:9fdc87d7ca81c9b167d22c1796bd03debc713d91c02043ac858daa5d2ac06fef

Pith citing papers

No inbound Pith citation observations are available.