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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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.185492Z digest=sha256:cd41be8b6b4c535b295744e63f6602c302ee31ec82c074cb85e67d220b5f0010

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.191046Z digest=sha256:d9eaab8d177320cd6d3f0795fb320e29b1c181f3f052e50d83d16f9335b939c3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.195711Z digest=sha256:7558b02e57360c2bb28f66afd1a51a520578e5a93f97ff502e1b44da09e99a71

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.200784Z digest=sha256:06f05ea64725c24bd7ca6773d5360af6b09aa56f92c81cbd4426ff2caa9c6eff

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.205928Z digest=sha256:86a419876c62768ea36846bc9e589a4f2880dba71f1c358b5240721d6c07e97a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.210984Z digest=sha256:d72a3deee7cbb9021769f72ec83275f1862b00ab0f77942e51f07a9c18fbf416

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.216322Z digest=sha256:4d544a42a9df563064ac53850f0f71499171aaa55a38d593f5e1077e56394d02

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.221034Z digest=sha256:5be25718f9e8226b311bd889856e8d17455291e923c42a1e4bf8bee99517fffc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.225633Z digest=sha256:fa5b0cbf095d2a5848fad2da18e49064407c1b64b0a11f949cff7ee7d4abf37d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.230103Z digest=sha256:f68ba97cb5fda56fde68b44e30af76ae288f1c045b313eb5b1643cf0e783d5fe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.234951Z digest=sha256:c68f4b3cd33bd31b2864ba9f1f125cb55ee55874d227ffef80405d96f4397b67

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.239552Z digest=sha256:603102ba089e0545a392b92c372a96a1baf888e14cb6afd8fd8e25a5ed2a8a30

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.244728Z digest=sha256:8a7257c0ce1435cfeb073510c1218c28a3d6715511ca1510a07293e87001a11b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.249259Z digest=sha256:1cbe971a40bf5fb383be06a81df3508ee1c47862a89696457d8f7d7ea4302a14

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.253784Z digest=sha256:9482813b8da97df448ea22b7537e76753bddf7e4a024866a485d36064cfbcf82

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.258359Z digest=sha256:5ef03b27f27e1825ea25b230560b7024beffd16e495bee343c97e8f21151ea7c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.262950Z digest=sha256:23bc01e25657c92182300bbceef7848ee7601228dff442eef02ae213edf6616f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.267433Z digest=sha256:e1c48381fe75fa551cbbdadceb95a400dc99fa0dffe8b0981ea13c8b2e9e6883

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.272549Z digest=sha256:cc6878c14caa55250f135891a09e84e9b78a7b6b88e93ce3a883b422704524fd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T00:35:30.276972Z digest=sha256:c1251a16169c5dc7b679e8d46ab9bc5dd532629d3db723c8112ebf3d31c76089

Pith citing papers

No inbound Pith citation observations are available.