Paper Citation Record · LEDGER

Curved Kakeya problems and the projective geometry of paths

As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.27629.

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

pith.paper-citation-record.v1
2607.27629 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:26:22.454837Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

39 of 39 outbound references displayed

verified exact13
verified fuzzy0
unresolved25
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c0c0815-2ce2-4145-8966-fcbb0b5d9888 · outbound

This paper cites 2001 , PAGES =.

Curved Kakeya problems and the projective geometry of paths 2001 , PAGES =

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T04:28:37.107367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 784c2599-d51b-42ec-89fe-c992b8e44ee0 · outbound

This paper cites Cambridge Journal of Mathematics , volume=.

Curved Kakeya problems and the projective geometry of paths Cambridge Journal of Mathematics , volume=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.423589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcebb7bb-107b-4841-a82e-84185d9796c6 · outbound

This paper cites Pacific Journal of Mathematics , volume=.

Curved Kakeya problems and the projective geometry of paths Pacific Journal of Mathematics , volume=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.517742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37ca82c1-77c1-474a-b4f5-7ce70572b55e · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T04:28:37.051945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 750b2969-0f5f-497c-807c-25aa5c687e8c · outbound

This paper cites 1994 , PAGES =.

Curved Kakeya problems and the projective geometry of paths 1994 , PAGES =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.699241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d15ca86-5de5-4158-9589-97fcc4ca26e2 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.760526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3bc75b2-58a2-48d8-a3f4-79f985acdbb7 · outbound

This paper cites , TITLE =.

Curved Kakeya problems and the projective geometry of paths , TITLE =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.821965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b77fd7d7-5989-4426-afec-23626b6670d0 · outbound

This paper cites Connections, sprays and.

Curved Kakeya problems and the projective geometry of paths Connections, sprays and

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:19.882504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f38e267d-403b-4743-85ec-b56d027d8539 · outbound

This paper cites , TITLE =.

Curved Kakeya problems and the projective geometry of paths , TITLE =

Reference 9

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.941569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d81ec5a9-aff7-4260-b6c9-7ffeaeb8a2c5 · outbound

This paper cites Duke Math.

Curved Kakeya problems and the projective geometry of paths Duke Math

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.030873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19a4c539-5b95-4c70-be69-07221ec390ec · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75def961-7d98-47d4-8994-2fd979035c7f · outbound

This paper cites Journal d'Analyse Mathématique , volume =.

Curved Kakeya problems and the projective geometry of paths Journal d'Analyse Mathématique , volume =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.175647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 947572a8-9440-4827-a6fa-2fea4687027a · outbound

This paper cites Geometric and Functional Analysis , volume =.

Curved Kakeya problems and the projective geometry of paths Geometric and Functional Analysis , volume =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.238867Z

Source-reported events for the cited work

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Observation 8161e671-7deb-4af8-a4e1-162281d75a0d · outbound

This paper cites Geometric and Functional Analysis , volume =.

Curved Kakeya problems and the projective geometry of paths Geometric and Functional Analysis , volume =

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.330515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb5a9266-6330-4c11-bdc1-730c5bb3e519 · outbound

This paper cites Algorithms in real algebraic geometry , SERIES =.

Curved Kakeya problems and the projective geometry of paths Algorithms in real algebraic geometry , SERIES =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.411912Z

Source-reported events for the cited work

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Observation 195ab3be-81a1-4be4-acb7-7fee70e16e97 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.794636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d82fbdca-21b4-4299-b593-ccfac30c226e · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.655027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6460fd10-a761-4356-912a-5110624e3ab3 · outbound

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

Curved Kakeya problems and the projective geometry of paths Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.648065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 784ccd8d-b2e8-4df3-a8a6-5a50cc50861a · outbound

This paper cites Journal of the American Mathematical Society , volume=.

Curved Kakeya problems and the projective geometry of paths Journal of the American Mathematical Society , volume=

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.736522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb67df21-1f9c-4102-96f6-d8ee3bd8763f · outbound

This paper cites Duke Math.

Curved Kakeya problems and the projective geometry of paths Duke Math

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:20.819857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ff2fa28-1f38-4498-8aad-88301435c7e6 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.458501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b4a4f4a7-a15e-4463-91ce-5b84821a43e5 · outbound

This paper cites Acta Math.

Curved Kakeya problems and the projective geometry of paths Acta Math

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.334597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0a0c4956-fb38-449b-aa94-78b1ded9d6c3 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.204962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 14fbf082-e5b4-402c-befa-37bab3faef0e · outbound

This paper cites and Zhang, Ruixiang , TITLE =.

Curved Kakeya problems and the projective geometry of paths and Zhang, Ruixiang , TITLE =

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.172089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67132088-1480-4119-9e4c-995a4816a9e4 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.118519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation af0f1be8-259f-42cf-9e39-898fa4c022fe · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.340117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0069cde8-67cc-4c4b-89b0-3fa9174081c5 · outbound

This paper cites and Sogge, Christopher D.

Curved Kakeya problems and the projective geometry of paths and Sogge, Christopher D

Reference 27

Resolution: verified exact; doi, observed 2026-08-01T04:28:36.023419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9eeec903-2abb-4207-8b1d-8f9a5615dc2e · outbound

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Curved Kakeya problems and the projective geometry of paths 2026 , eprint=

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.484177Z

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Observation ddf9b9da-5aec-4aa1-b34f-d8cbf098bf79 · outbound

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Curved Kakeya problems and the projective geometry of paths 2025 , eprint=

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.571545Z

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Observation b7748283-46a4-4e8d-b130-663fc0f2e8fb · outbound

This paper cites 1959 , PAGES =.

Curved Kakeya problems and the projective geometry of paths 1959 , PAGES =

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.656880Z

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Observation f8b820b2-da41-4365-8561-783935af4c86 · outbound

This paper cites , TITLE =.

Curved Kakeya problems and the projective geometry of paths , TITLE =

Reference 31

Resolution: verified exact; doi, observed 2026-08-01T04:28:35.970479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 46777538-8ed0-4d3a-b154-c012ab7a3392 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.830841Z

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Observation 596aef27-f3ed-4049-98cf-b41d22134b87 · outbound

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Curved Kakeya problems and the projective geometry of paths 2003 , type =

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:21.916329Z

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Observation fb56f4b2-76d2-43a8-a082-8f89cdf1e687 · outbound

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Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-01T04:28:35.896836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2489d8c5-3165-43d3-b281-3bd37fcb2489 · outbound

This paper cites an unresolved cited work.

Curved Kakeya problems and the projective geometry of paths Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:22.105749Z

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Observation fe25a509-b2a8-4347-81ed-b7c93d2a3b92 · outbound

This paper cites 2025 , eprint=.

Curved Kakeya problems and the projective geometry of paths 2025 , eprint=

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:22.164385Z

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Observation b6e0d3fe-f060-4e2f-82a4-cdc851fd3052 · outbound

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Curved Kakeya problems and the projective geometry of paths Real algebraic geometry , SERIES =

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:22.251187Z

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Observation 08e8c1b7-892b-4ffb-8f0f-cfa6b0dc0a52 · outbound

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Curved Kakeya problems and the projective geometry of paths 2004 , PAGES =

Reference 38

Resolution: verified exact; doi, observed 2026-08-01T04:28:35.806341Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5a66824f-9bc9-4fc5-b4e1-8557f2a25ec4 · outbound

This paper cites 2002 , month = oct, number =.

Curved Kakeya problems and the projective geometry of paths 2002 , month = oct, number =

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T04:26:22.454837Z

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Pith citing papers

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