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Paper Citation Record · LEDGER

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.08461.

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

pith.paper-citation-record.v1
2607.08461 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T07:05:56.044643Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

16 of 16 outbound references displayed

  • verified exact8
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f1352f5-155e-46d9-835d-436a748339b4 · outbound

This paper cites Incidence estimates for quasi-product sets and applications.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Incidence estimates for quasi-product sets and applications

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-10T07:06:52.534586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:4f6b55407aba6d70df0ebfede5dad510d91310ff90f99546da8ae627cc7f092f

Observation 3fcc7958-1319-4319-bdf6-d7332afff048 · outbound

This paper cites Szemerédi-Trotter bounds for tubes and applications.Ars Inven.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Szemerédi-Trotter bounds for tubes and applications.Ars Inven

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T07:06:52.719512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:c8e865671935befc49d270bd53e48889628ef9a8afd60fa658102068fefde95f

Observation 0588aa07-b7b3-4e6c-b89e-e7da7adca5bb · outbound

This paper cites Sharp microlocal Kakeya–Nikodym estimates for eigen- functions with applications.preprint, arXiv:2509.01116, 2025.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Sharp microlocal Kakeya–Nikodym estimates for eigen- functions with applications.preprint, arXiv:2509.01116, 2025

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-10T07:06:52.552531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:74238bd10d40aadd2161f9e6cac1519ebe17840f2bf9fd7124ac07fc0d7c5bec

Observation 7113ab85-e350-4290-91fb-50179684066e · outbound

This paper cites Additive properties of fractal sets on the parabola.Ann.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Additive properties of fractal sets on the parabola.Ann

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T07:06:52.721451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:c9e25bdd4ecbfbde84fe47817297e8ed7a7a3251919ce855728fce035b9b139a

Observation d3d9123c-84bc-4574-879e-bafcb4fc9479 · outbound

This paper cites an unresolved cited work.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Unresolved cited work

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-10T07:06:52.549520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:f36d4ad6b799708be96370b7644313ebc6de94cdac0064bf1a13c31dd6632cff

Observation 51108d1f-2098-4267-854e-3fa1aca5aab6 · outbound

This paper cites On Fourier transforms of fractal measures on the parabola.Trans.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay On Fourier transforms of fractal measures on the parabola.Trans

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T07:06:52.723373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:069e7c730b192a68921e05a5f96b31584b7ff5b0edfb1d4d4e7a477f638f12e7

Observation f222a8fc-6b41-4ce7-b9a7-e28a9d2a5f58 · outbound

This paper cites Furstenberg set theorem for transversal families of functions.

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:9f93fdb687898cedc7090f76a2f5b3cb9b76aa629672437c35c208b763c6cdb4

Observation 4af35cab-f76e-467e-a551-47c3f9afe2bc · outbound

This paper cites Nikodým maximal function with restricted directions.arXiv preprint arXiv:2601.19631, 2026.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Nikodým maximal function with restricted directions.arXiv preprint arXiv:2601.19631, 2026

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-10T07:06:52.546646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:f384196d0911437cadfadeb365802c06f30058b42fddc983a3425e12edc26626

Observation 2d4f0aa5-4e25-42eb-afe9-536a1a574fcd · outbound

This paper cites Orponen and P.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Orponen and P

Reference 9

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T07:06:52.557595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:5fde14d142d10e3b7be944ffd61fba132067aa42147a6703955323a14c5383df

Observation 65a731ae-8f9a-4d9f-9357-84a9286fb453 · outbound

This paper cites Furstenberg-type estimates under mild non-concentration as- sumptions.https://arxiv.org/abs/2603.19171, 2026.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Furstenberg-type estimates under mild non-concentration as- sumptions.https://arxiv.org/abs/2603.19171, 2026

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-10T07:06:52.540602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:8d66fe5ea97d083b4df62a6f0b13fcf205bdedb8769e49e8a2a1fda613dd0072

Observation 6572bd38-82ad-4869-a025-448000e99316 · outbound

This paper cites Projections, Furstenberg sets, and theABCsum-product prob- lem.J.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Projections, Furstenberg sets, and theABCsum-product prob- lem.J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T07:06:52.725285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:c289aa7a71448c9592a1d130b718be2d0f155c16c685b539a47bdd34accfec9e

Observation 7ee1db0f-69d1-45fb-9184-bd250d92b164 · outbound

This paper cites Furstenberg sets estimate in the plane.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Furstenberg sets estimate in the plane

Reference 12

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T07:06:52.531031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:e8c3e4158639410a0dbb34f29ca3d38286b963d0b70b700814f8629a93c17783

Observation 33afeb19-3b2c-4a37-8dd6-c75ccc0a8624 · outbound

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

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T07:06:52.537472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:f75b268914f2a785546172f751b9840b8c1040cbcf9acbf6846a1f26dc62d76e

Observation ccf8f7a6-eb7b-452b-b533-e7cce7d46d6b · outbound

This paper cites Two-ends Furstenberg estimates in the plane.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Two-ends Furstenberg estimates in the plane

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-10T07:06:52.560446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:33b63bd2a7213bce7fad2ab8c120df77c6de7b1001cb0dd2e323d0b8f118362e

Observation 3f66fbb4-b1a2-4841-9700-35018efb8aa6 · outbound

This paper cites Weighted $L^2$ estimates with applications to $L^p$ problems.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Weighted $L^2$ estimates with applications to $L^p$ problems

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-07-10T07:06:52.543609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:f053e5cd20e0f0ae4615450115155d3948bd10f5a4626ff1b38e702133e4c275

Observation 24e65d33-f44b-4e89-a9d7-513b62f0d6de · outbound

This paper cites On bounded energy of convolution of fractal measures.Ann.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay On bounded energy of convolution of fractal measures.Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T07:06:52.717661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:13502871cb94c325e3792f8093823c35891f2abd05f4d553b738d3db0c2f41f3

Pith citing papers

No inbound Pith citation observations are available.