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Paper Citation Record · LEDGER

Bourgain's condition, sticky Kakeya, and new examples

As of 12 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2511.10918.

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

pith.paper-citation-record.v1
2511.10918 v3

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-17T22:55:08.053392Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:33:34.496431Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T16:28:39.383286Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact7
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa2315f7-c073-44b4-9aa1-ed1f4e613db6 · outbound

This paper cites [Dem20] C.

Bourgain's condition, sticky Kakeya, and new examples [Dem20] C

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.863504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:83759b7f1fb64ed0c3f6816583aa30e844cadfb52aede23af9573533029e334b

Observation 698d81b4-8b19-430f-872e-22478dd09de7 · outbound

This paper cites Curved Kakeya sets and Nikodym problems on manifolds.

Bourgain's condition, sticky Kakeya, and new examples Curved Kakeya sets and Nikodym problems on manifolds

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.859711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:b8853b52ee908308640358403d090bc191c97a83c2669891161e54bd8c1aaa16

Observation 0f838b17-757d-43d7-ab22-71050fd0ea56 · outbound

This paper cites Introduction to the proof of the Kakeya conjecture.

Bourgain's condition, sticky Kakeya, and new examples Introduction to the proof of the Kakeya conjecture

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.832454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:c2c3e1ca4cc7f0e4c9d283288e307e00fb621844897aaceb0c10c595a0bb7b71

Observation b170936a-2cd3-47c6-ae2d-d35ed14a5ddf · outbound

This paper cites Outline of the Wang-Zahl proof of the Kakeya conjecture in $\mathbb{R}^3$.

Bourgain's condition, sticky Kakeya, and new examples Outline of the Wang-Zahl proof of the Kakeya conjecture in $\mathbb{R}^3$

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.843866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:9e8f5c84b285a8648cf98cdf086ca9fbafa0bafc9545fc5da18bfd9f6c10db38

Observation 5459e9c5-ee27-4978-8957-6e30597d7dda · outbound

This paper cites New curved Kakeya estimates.

Bourgain's condition, sticky Kakeya, and new examples New curved Kakeya estimates

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-14T00:18:18.561214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:5a8b021e653536404ded1c556de982536abb17febf8e54db13a5ed246d23621e

Observation 6a2e87db-1c62-4bb9-be1a-e3c5f058e52f · outbound

This paper cites Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities.

Bourgain's condition, sticky Kakeya, and new examples Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.838041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:4220d70670392d3ce410b24d0cb09b41c7f26fd5b431975556741dcd7b41046e

Observation 872747cc-b9b4-4409-8393-b64702797af3 · outbound

This paper cites [WZ25a] H.

Bourgain's condition, sticky Kakeya, and new examples [WZ25a] H

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:55:24.827562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:8aa02c75df4d8d0f3e85439ba47e94f873d6a0fffb81fcb35cfaa4dc3f4619ab

Observation a4068a7a-d815-4230-b00c-eb430c63dc33 · outbound

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

Bourgain's condition, sticky Kakeya, and new examples Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 8

Resolution
metadata mismatch
arxiv_id, observed 2026-05-17T22:55:24.855122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:55:08.053392Z digest=sha256:bfcde3548b0a727e02f4f87ecca0f96e20aa5fa21fbb455d2ed78d0d1ed43dec

Pith citing papers

Observation a23ec434-9687-470d-ae09-cc5180073141 · inbound

The (local) geometry of oscillatory integrals on manifolds: Dimension three cites this paper.

The (local) geometry of oscillatory integrals on manifolds: Dimension three Bourgain's condition, sticky Kakeya, and new examples

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-07-03T16:28:39.384435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-06-27T05:33:34.496431Z digest=sha256:cc93f8ca24f9d0f0afcde1ea077aec6b0ce4ecf82212fdf7aa199cc6e656e065