Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-28T23:54:01.597389Z
Paper Citation Record · LEDGER
On hyperbolic corners and unit-area triangles in planar sets of large measure
As of 5 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2605.30033.
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 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
45 of 45 outbound references displayed
- verified exact31
- verified fuzzy0
- unresolved8
- parse uncertain0
- malformed identifier3
- metadata mismatch3
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 43ef4a95-1b8f-44d7-be43-a06b3a2eb0b4 · outbound
This paper cites Sets of lattice points that form no squares.Studia Sci.
On hyperbolic corners and unit-area triangles in planar sets of large measure Sets of lattice points that form no squares.Studia Sci
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82da71df-842d-4dda-bcab-05e016c4764b · outbound
This paper cites On a generalization of the Hadwiger-Nelson problem.
On hyperbolic corners and unit-area triangles in planar sets of large measure On a generalization of the Hadwiger-Nelson problem
Reference 2
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.504726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fccaddd6-9d5b-41d1-be84-08471cc4251d · outbound
This paper cites Aspects of uniformity in recurrence.Colloq.
On hyperbolic corners and unit-area triangles in planar sets of large measure Aspects of uniformity in recurrence.Colloq
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1a5ffbc-2f58-4046-831e-42cfcabf6b7b · outbound
This paper cites Polynomial extensions of van der Waerden’s and Szemerédi’s theorems.J.
On hyperbolic corners and unit-area triangles in planar sets of large measure Polynomial extensions of van der Waerden’s and Szemerédi’s theorems.J
Reference 4
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.515678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 04afa0d5-6fd5-4778-972b-dee5584f5a26 · outbound
This paper cites Erdős problems.https://www.erdosproblems.com/.
On hyperbolic corners and unit-area triangles in planar sets of large measure Erdős problems.https://www.erdosproblems.com/
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15174d91-dcf7-4ea2-be46-9a2ada7119ec · outbound
This paper cites A Szemer´ edi type theorem for sets of positive density inR k.Israel J.
On hyperbolic corners and unit-area triangles in planar sets of large measure A Szemer´ edi type theorem for sets of positive density inR k.Israel J
Reference 6
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.507611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d5a1af9b-01b4-4166-854a-ed47b404e61d · outbound
This paper cites A nonlinear version of Roth’s theorem for sets of positive density in the real line.J.
On hyperbolic corners and unit-area triangles in planar sets of large measure A nonlinear version of Roth’s theorem for sets of positive density in the real line.J
Reference 7
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.499821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 14566145-68a6-4ecc-b792-e18c5c4158fa · outbound
This paper cites Bruce and Malabika Pramanik.
On hyperbolic corners and unit-area triangles in planar sets of large measure Bruce and Malabika Pramanik
Reference 8
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.520204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8966a776-8993-4073-affa-457c7f351e07 · outbound
This paper cites A polynomial Roth theorem for corners inR2 and a related bilinear singular integral operator.Math.
On hyperbolic corners and unit-area triangles in planar sets of large measure A polynomial Roth theorem for corners inR2 and a related bilinear singular integral operator.Math
Reference 9
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.478994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e26988f2-d5a5-4067-978d-d9493c29db67 · outbound
This paper cites Two-point polynomial patterns in subsets of positive density inRn.
On hyperbolic corners and unit-area triangles in planar sets of large measure Two-point polynomial patterns in subsets of positive density inRn
Reference 10
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.500865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c3f606ad-ada3-44a3-99bd-6b4d5532a8c9 · outbound
This paper cites Trilinear smoothing inequalities and a variant of the triangular Hilbert transform.Adv.
On hyperbolic corners and unit-area triangles in planar sets of large measure Trilinear smoothing inequalities and a variant of the triangular Hilbert transform.Adv
Reference 11
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.477051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 98f2a186-984d-46a2-82b1-cad28469c0c9 · outbound
This paper cites A Roth-type theorem for dense subsets of Rd.Bull.
On hyperbolic corners and unit-area triangles in planar sets of large measure A Roth-type theorem for dense subsets of Rd.Bull
Reference 12
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.480782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d8b02714-ff48-4387-b03d-34942335a8fd · outbound
This paper cites Croft, Kenneth J.
On hyperbolic corners and unit-area triangles in planar sets of large measure Croft, Kenneth J
Reference 13
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.503372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cf36df15-279b-4513-a695-83864ed421cb · outbound
This paper cites Improved estimates for polynomial Roth type theorems in finite fields.J.
On hyperbolic corners and unit-area triangles in planar sets of large measure Improved estimates for polynomial Roth type theorems in finite fields.J
Reference 14
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.520942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4340eabd-94a4-4278-a22e-4f26deaa6e40 · outbound
This paper cites A Szemer´ edi-type theorem for subsets of the unit cube.Anal.
On hyperbolic corners and unit-area triangles in planar sets of large measure A Szemer´ edi-type theorem for subsets of the unit cube.Anal
Reference 15
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.491013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7a5d1a29-a4ba-4323-8797-b044a7091bb1 · outbound
This paper cites On side lengths of corners in positive density subsets of the Euclidean space.Int.
On hyperbolic corners and unit-area triangles in planar sets of large measure On side lengths of corners in positive density subsets of the Euclidean space.Int
Reference 16
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.506826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ae142fa7-ea0f-4a75-8b3d-046a969f264c · outbound
This paper cites A strong-type Furstenberg-Sárközy theorem for sets of positive measure.J.
On hyperbolic corners and unit-area triangles in planar sets of large measure A strong-type Furstenberg-Sárközy theorem for sets of positive measure.J
Reference 17
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.513728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3bb5d45d-d8e7-47f5-8054-ad486d8596ea · outbound
This paper cites Set-theoretic, measure-theoretic, combinatorial, and number-theoretic problems concerning point sets in Euclidean space.Real Anal.
On hyperbolic corners and unit-area triangles in planar sets of large measure Set-theoretic, measure-theoretic, combinatorial, and number-theoretic problems concerning point sets in Euclidean space.Real Anal
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4f7a119-8d9e-4066-ae13-7526e33f5e18 · outbound
This paper cites My Scottish Book ‘Problems’.
On hyperbolic corners and unit-area triangles in planar sets of large measure My Scottish Book ‘Problems’
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46f1473f-879a-4641-b893-05a08549a249 · outbound
This paper cites Some combinatorial, geometric and set theoretic problems in measure theory.
On hyperbolic corners and unit-area triangles in planar sets of large measure Some combinatorial, geometric and set theoretic problems in measure theory
Reference 20
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.495540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ad5e49a3-8f9e-4cbd-a3bd-188ed5824a60 · outbound
This paper cites Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances.
On hyperbolic corners and unit-area triangles in planar sets of large measure Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T00:02:50.019862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a08400eb-60ec-444a-ac06-d158a9217e03 · outbound
This paper cites On partitions ofEn.J.
On hyperbolic corners and unit-area triangles in planar sets of large measure On partitions ofEn.J
Reference 22
- Resolution
- malformed identifier
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1caa673-1d94-4198-a469-4ac3cc52829f · outbound
This paper cites A multidimensional Szemer\'{e}di theorem in integers.
On hyperbolic corners and unit-area triangles in planar sets of large measure A multidimensional Szemer\'{e}di theorem in integers
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-06-29T00:02:50.024699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 479ec2ac-9c48-4fab-b521-b1227f8b65d1 · outbound
This paper cites Lacey, and Fan Yang.
On hyperbolic corners and unit-area triangles in planar sets of large measure Lacey, and Fan Yang
Reference 24
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.519031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b7ebc05a-a7a2-4705-b8b3-f48e30a9d08d · outbound
This paper cites Springer, New York, 2011.doi:10.1007/ 978-1-4419-6055-9.
On hyperbolic corners and unit-area triangles in planar sets of large measure Springer, New York, 2011.doi:10.1007/ 978-1-4419-6055-9
Reference 25
- Resolution
- malformed identifier
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fa2a6e1-47e8-4c13-96cf-e26257058822 · outbound
This paper cites Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications.
On hyperbolic corners and unit-area triangles in planar sets of large measure Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications
Reference 26
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-21T01:19:44.976123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0aad2b35-386b-4b29-9276-58bf7a6579dd · outbound
This paper cites Quasipolynomial bounds for the corners theorem.
On hyperbolic corners and unit-area triangles in planar sets of large measure Quasipolynomial bounds for the corners theorem
Reference 27
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-29T00:02:50.022532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8965444d-7727-4198-8926-666660233409 · outbound
This paper cites Density theorems for anisotropic point configurations.Canad.
On hyperbolic corners and unit-area triangles in planar sets of large measure Density theorems for anisotropic point configurations.Canad
Reference 28
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.494656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3976fa3f-9079-43d1-a039-3e8a546b5efb · outbound
This paper cites Large copies of large configurations in large sets (extended abstract).
On hyperbolic corners and unit-area triangles in planar sets of large measure Large copies of large configurations in large sets (extended abstract)
Reference 29
- Resolution
- malformed identifier
- doi_truncated, observed 2026-06-29T00:02:49.511572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 36b20088-70f3-4dba-bb00-57e5a41dfb9c · outbound
This paper cites Coloring and density theorems for configurations of a given volume.Proc.
On hyperbolic corners and unit-area triangles in planar sets of large measure Coloring and density theorems for configurations of a given volume.Proc
Reference 30
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.517493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 93bedee2-424c-414d-992c-1e2bfa438748 · outbound
This paper cites Polynomial progressions in topological fields.
On hyperbolic corners and unit-area triangles in planar sets of large measure Polynomial progressions in topological fields
Reference 31
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.513283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ec0f8536-0575-4ed4-a7e9-115bd6625fac · outbound
This paper cites Corners with polynomial side length.
On hyperbolic corners and unit-area triangles in planar sets of large measure Corners with polynomial side length
Reference 32
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-29T00:02:50.031040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0737f9dc-c522-4c83-8503-8006a1084144 · outbound
This paper cites Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control.Adv.
On hyperbolic corners and unit-area triangles in planar sets of large measure Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control.Adv
Reference 33
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T00:02:49.518140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bccfd315-6fab-47bc-95d6-675f89b66669 · outbound
This paper cites Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees.Israel J.
On hyperbolic corners and unit-area triangles in planar sets of large measure Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees.Israel J
Reference 34
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.498797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ca72a649-44bf-4893-92e5-9348d2042ec1 · outbound
This paper cites On a continuous Sárközy-type problem.Int.
On hyperbolic corners and unit-area triangles in planar sets of large measure On a continuous Sárközy-type problem.Int
Reference 35
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.480435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0b5995b7-09dc-45c8-9b19-55b39200ead3 · outbound
This paper cites Improved bounds for szemerédi’s theorem.
On hyperbolic corners and unit-area triangles in planar sets of large measure Improved bounds for szemerédi’s theorem
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c59ff0a-7b0b-4c71-a727-5622f2dd7626 · outbound
This paper cites Improved Bounds for Szemer\'{e}di's Theorem.
On hyperbolic corners and unit-area triangles in planar sets of large measure Improved Bounds for Szemer\'{e}di's Theorem
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T00:02:50.036918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3bef3e63-2f72-41f4-9529-96acfe8fe4e6 · outbound
This paper cites Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields.
On hyperbolic corners and unit-area triangles in planar sets of large measure Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields
Reference 38
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T00:02:50.030841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6153b725-641b-4498-8b46-091ab746b390 · outbound
This paper cites Doctoral dissertation, University of Bonn, Bonn, Germany, 2025.
On hyperbolic corners and unit-area triangles in planar sets of large measure Doctoral dissertation, University of Bonn, Bonn, Germany, 2025
Reference 39
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- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a40f86b9-34b6-4cb6-b536-bbd5d7717786 · outbound
This paper cites Product of simplices and sets of positive upper density inR d.Math.
On hyperbolic corners and unit-area triangles in planar sets of large measure Product of simplices and sets of positive upper density inR d.Math
Reference 40
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.515236Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 716f91e8-8c82-409d-92b8-8b752eb7bda3 · outbound
This paper cites Distance graphs and sets of positive upper density inR d.Anal.
On hyperbolic corners and unit-area triangles in planar sets of large measure Distance graphs and sets of positive upper density inR d.Anal
Reference 41
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.497713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 445f4a08-0742-4b45-b23a-b3060a3b19e1 · outbound
This paper cites Weak hypergraph regularity and applications to geometric Ramsey theory.Trans.
On hyperbolic corners and unit-area triangles in planar sets of large measure Weak hypergraph regularity and applications to geometric Ramsey theory.Trans
Reference 42
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- verified exact
- doi, observed 2026-06-29T00:02:49.502890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ab882040-b630-47c7-9dae-7f9f3e60ecd2 · outbound
This paper cites an unresolved cited work.
On hyperbolic corners and unit-area triangles in planar sets of large measure Unresolved cited work
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T23:54:01.597389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19faeab1-1552-4b43-89c9-d7d61073b520 · outbound
This paper cites Daniel Mauldin.
On hyperbolic corners and unit-area triangles in planar sets of large measure Daniel Mauldin
Reference 44
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.509104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 73a92e95-375c-45cb-8a89-d496b53f0320 · outbound
This paper cites Shkredov.
On hyperbolic corners and unit-area triangles in planar sets of large measure Shkredov
Reference 45
- Resolution
- verified exact
- doi, observed 2026-06-29T00:02:49.493506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.