Pith. sign in

Paper Citation Record · LEDGER

Two-ends Furstenberg estimates in the plane

As of 17 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2509.21869.

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

pith.paper-citation-record.v1
2509.21869 v3

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:51:44.394659Z

measured 7 of 7 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T07:06:52.558937Z

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79f9982e-1989-4d7d-a3f2-c8d66f2f77dc · outbound

This paper cites Szemer\'edi-Trotter bounds for tubes and applications.

Two-ends Furstenberg estimates in the plane Szemer\'edi-Trotter bounds for tubes and applications

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:44.362387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.362387Z digest=sha256:6df64c373e4aff6b7101957f6edc920cb2c22d0fcb50b17adb5a22f57df6036c

Observation 21c0a5f3-1280-45fd-b60f-2191e3f3fb7c · outbound

This paper cites Projections, furstenberg sets, and the abc sum-product problem.

Two-ends Furstenberg estimates in the plane Projections, furstenberg sets, and the abc sum-product problem

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:44.374459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.374459Z digest=sha256:e132c89bbf8378959e5921608d3784c88a1bac74e21054e798232feb70ae0b50

Observation cfd94c4e-affb-4f6f-8e63-3780037aa0a0 · outbound

This paper cites Furstenberg sets estimate in the plane.

Two-ends Furstenberg estimates in the plane Furstenberg sets estimate in the plane

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:44.378481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.378481Z digest=sha256:f6d9ae38335a97d1f885ef50906115aeaee23c1aae65dfd5dd5aac69641b4b93

Observation d248969b-6194-4114-9264-f578b249543f · outbound

This paper cites A non-linear version of bourgain's projection theorem: Dedicated to the memory of jean bourgain.

Two-ends Furstenberg estimates in the plane A non-linear version of bourgain's projection theorem: Dedicated to the memory of jean bourgain

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:44.383544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.383544Z digest=sha256:f4365bcb54f2858f20c61845ee583c514f7da231e57239e1654139e2e2f7b280

Observation ea6c51ff-557a-46a5-bd11-67661bc31cba · outbound

This paper cites Recent work connected with the K akeya problem.

Two-ends Furstenberg estimates in the plane Recent work connected with the K akeya problem

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:51:44.522553Z

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.

source=arxiv_source observed=2026-08-15T15:51:44.389345Z digest=sha256:769e414eda6ee040ef6ae58ae7c4a748e5f669aa8e0bbd1cef4b46267c594692

Observation 58be970e-156d-4619-a183-10987bdd3efe · outbound

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

Two-ends Furstenberg estimates in the plane Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:44.394659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.394659Z digest=sha256:3175dcc8bc19c4edddbc3c12fd87fc7e4ae201ef276c7128a7e1fbc69ec13a48

Pith citing papers

Observation ccf8f7a6-eb7b-452b-b533-e7cce7d46d6b · 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 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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:20b20d13870a1891a1110067486c792d359ebcddb76574620d7c5375616db91d