Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T16:05:20.452069Z
Paper Citation Record · LEDGER
Furstenberg set theorem for transversal families of functions
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2508.19047.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-10T07:05:56.044643Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T07:06:52.553714Z
Reference resolution
24 of 24 outbound references displayed
- verified exact4
- verified fuzzy14
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d6614cac-8a04-46f4-b27e-7992e84b2380 · outbound
This paper cites $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves.
Furstenberg set theorem for transversal families of functions $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:05:20.356819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c0e569f-9138-406d-9453-70c73c20ac11 · outbound
This paper cites A new upper bound for the Heilbronn triangle problem.
Furstenberg set theorem for transversal families of functions A new upper bound for the Heilbronn triangle problem
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T16:05:20.689985Z
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.
Observation e9dcd05f-2c48-487f-9aa0-ef10c8f87ccb · outbound
This paper cites an unresolved cited work.
Furstenberg set theorem for transversal families of functions Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T16:05:20.906847Z
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.
Observation 4816a94a-6911-4210-a54d-d2ab1f0be78a · outbound
This paper cites How much can heavy lines cover? J.
Furstenberg set theorem for transversal families of functions How much can heavy lines cover? J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.894652Z
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.
Observation 60cb48ae-c616-4a8c-8e83-9b64e32dd803 · outbound
This paper cites Szemerédi-Trotter bounds for tubes and applications.
Furstenberg set theorem for transversal families of functions Szemerédi-Trotter bounds for tubes and applications
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.882656Z
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.
Observation 8bb69649-8cf5-4625-b6c9-b09f8872548e · outbound
This paper cites On the Hausdorff dimension of circular Furstenberg sets.
Furstenberg set theorem for transversal families of functions On the Hausdorff dimension of circular Furstenberg sets
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.870130Z
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.
Observation 5e0a34ad-ca31-4525-825b-4af3b905afd9 · outbound
This paper cites On restricted families of projections in R3.
Furstenberg set theorem for transversal families of functions On restricted families of projections in R3
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.857850Z
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.
Observation 92c2bf9e-8fce-44d6-b36c-a74314df4f88 · outbound
This paper cites Incidence estimates for α-dimensional tubes and β-dimensional balls in R2.
Furstenberg set theorem for transversal families of functions Incidence estimates for α-dimensional tubes and β-dimensional balls in R2
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.846018Z
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.
Observation 70ea93e6-aa2e-4527-9ae6-e4a2b72f5d50 · outbound
This paper cites Incidence bounds related to circular Furstenberg sets.
Furstenberg set theorem for transversal families of functions Incidence bounds related to circular Furstenberg sets
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T16:05:20.671728Z
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.
Observation 0491cc8d-2cfb-4a56-96a5-08e765c9d4f1 · outbound
This paper cites Incidence estimates for well spaced tubes.
Furstenberg set theorem for transversal families of functions Incidence estimates for well spaced tubes
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.833307Z
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.
Observation 67987117-3210-4e98-8d76-f381324a2d16 · outbound
This paper cites an unresolved cited work.
Furstenberg set theorem for transversal families of functions Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T16:05:20.820746Z
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.
Observation 141ae803-9566-4535-bd9a-95d804fe5b4b · outbound
This paper cites On the discretised ABC sum-product problem.
Furstenberg set theorem for transversal families of functions On the discretised ABC sum-product problem
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.808563Z
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.
Observation 0d9773e0-832b-48e9-82da-52b59dc5d2b6 · outbound
This paper cites On the projections of Ahlfors regular sets in the plane.
Furstenberg set theorem for transversal families of functions On the projections of Ahlfors regular sets in the plane
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T16:05:20.649765Z
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.
Observation d0d8638c-0e32-4106-964c-7837b22e2488 · outbound
This paper cites On the Fourier decay of multiplicative convolutions.
Furstenberg set theorem for transversal families of functions On the Fourier decay of multiplicative convolutions
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T16:05:20.630722Z
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.
Observation 0ba445d1-879e-496e-b0ee-2ee25f79228d · outbound
This paper cites On Fourier transforms of fractal measures on the parabola.
Furstenberg set theorem for transversal families of functions On Fourier transforms of fractal measures on the parabola
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.796306Z
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.
Observation a7e0b586-0025-432e-85b3-0065c0b4e330 · outbound
This paper cites On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane.
Furstenberg set theorem for transversal families of functions On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.783553Z
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.
Observation 489076d4-81e3-42f1-8686-49a708ea9ad2 · outbound
This paper cites Projections, Furstenberg sets, and the ABC sum-product prob- lem.
Furstenberg set theorem for transversal families of functions Projections, Furstenberg sets, and the ABC sum-product prob- lem
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:05:20.424213Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e5571fc-a44c-4526-b3a3-7cad5a3ea353 · outbound
This paper cites Kaufman and Falconer estimates for radial pro- jections and a continuum version of Beck’s theorem.
Furstenberg set theorem for transversal families of functions Kaufman and Falconer estimates for radial pro- jections and a continuum version of Beck’s theorem
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.769245Z
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.
Observation dcdb8a3c-97f2-4ebe-9434-8a3fe379642d · outbound
This paper cites A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in R3.
Furstenberg set theorem for transversal families of functions A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in R3
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.756551Z
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.
Observation 82e364f8-1c4d-4341-9c69-55841928cbe0 · outbound
This paper cites Furstenberg sets estimate in the plane.
Furstenberg set theorem for transversal families of functions Furstenberg sets estimate in the plane
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:05:20.435948Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f182060-59c1-4f8f-baf9-a63f21c1d57e · outbound
This paper cites Real and complex analysis.
Furstenberg set theorem for transversal families of functions Real and complex analysis
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.743481Z
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.
Observation 401233bf-03cf-47fc-8d57-617bcf855368 · outbound
This paper cites Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities.
Furstenberg set theorem for transversal families of functions Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:05:20.444023Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a48cd69-0349-48aa-ac65-b06c45b7b19d · outbound
This paper cites On bounded energy of convolution of fractal measures.Ann.
Furstenberg set theorem for transversal families of functions On bounded energy of convolution of fractal measures.Ann
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.730348Z
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.
Observation cc5ef524-7647-48fc-b5bb-3a6bcc12b877 · outbound
This paper cites On Maximal Functions Associated to Families of Curves in the Plane.
Furstenberg set theorem for transversal families of functions On Maximal Functions Associated to Families of Curves in the Plane
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:05:20.716997Z
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.
Pith citing papers
Observation f222a8fc-6b41-4ce7-b9a7-e28a9d2a5f58 · inbound
Two-ends Furstenberg inequality for transversal families and applications to Fourier decay cites this paper.
Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Furstenberg set theorem for transversal families of functions
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T07:06:52.554916Z
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.