Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T03:39:33.084153Z
Paper Citation Record · LEDGER
As of 5 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2606.30178.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T03:39:33.084153Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ba5bf85d-ed5c-445a-b911-571e87719196 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Remarks on the disproof of the unit distance conjecture
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 06f2e51b-52b5-44d7-aeff-7c8e735ee53f · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9058ce96-346e-4a37-ab25-20787ba21525 · outbound
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 283e4e3a-5bf0-4ab5-907f-198b4b3cbb8f · outbound
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2454fe2e-d280-40e9-8ca0-201de1d37cc7 · outbound
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5127e6a7-3276-4378-a98c-46c99b6ed1dc · outbound
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46e638d7-d395-431a-bcd7-699aec84a0ee · outbound
Rectangles, triangles and Schr\"{o}dinger waves The sum-product conjecture is false for real numbers
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a08e23af-12dc-4327-8575-1cf8555c5ea2 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to non- linear evolution equations
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 968aa369-67fb-458b-9fc5-867970f6a2db · outbound
Rectangles, triangles and Schr\"{o}dinger waves Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fca43cd-51a8-41ba-9a70-ff16ce4695ac · outbound
Rectangles, triangles and Schr\"{o}dinger waves Bourgain, C
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2534265b-a3a9-41b5-bba8-5b93ccd48095 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cac8b3a7-8154-40b4-937c-eb3c7c8ce3e1 · outbound
Rectangles, triangles and Schr\"{o}dinger waves A Counterexample to the Mizohata-Takeuchi Conjecture
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b98ac909-4a9e-4e2c-b718-4a8116f94b6b · outbound
Rectangles, triangles and Schr\"{o}dinger waves Power loss for the Mizohata-Takeuchi conjecture onC k convex hypersurfaces
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0b79c0b4-03e9-43af-9277-12ee0dd9e9b0 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Carbery,Large sets with limited tube occupancy, J
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d1ba114-8a44-4693-914d-9d535012a77a · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6b7720b-d6d6-4647-acaa-4d6023586dd1 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8de0198-86ef-4f14-9394-a34b631270dd · outbound
Rectangles, triangles and Schr\"{o}dinger waves A combinatorial large sieve for Sidon sets, distances, and norm forms
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation afec49d6-8a36-4719-a53a-11790a48d298 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84569c91-aeb4-4214-a167-c235fdb859ef · outbound
Rectangles, triangles and Schr\"{o}dinger waves Davenport, Multiplicative number theory
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8c35a99-1246-4a18-a3ca-e767d826bf3b · outbound
Rectangles, triangles and Schr\"{o}dinger waves Demeter, Fourier Restriction, Decoupling, and Applications, Cambridge University Press 2020
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75fa7a2b-bc16-4a24-af7d-7eef3a54532a · outbound
Rectangles, triangles and Schr\"{o}dinger waves Dendrinos, A
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15b5b22d-44e2-4017-b2fd-72210cbffe38 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Du,Weighted Fourier extension estimates and applications, Proc
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97853fb0-c825-41a9-97fb-816d8c8e0cf5 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e68ec61-1715-4137-a0dc-32fa17fecb96 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Dujella, Number theory, ˇSkolska Knjiga, Zagreb, 2021
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea640919-5746-4aaf-b33f-e208ea40d80e · outbound
Rectangles, triangles and Schr\"{o}dinger waves Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f3b3989b-0f0c-4093-acdc-f8b21db4e19d · outbound
Rectangles, triangles and Schr\"{o}dinger waves Ferrante, PhD thesis, University of Birmingham 2024
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63dda29e-33ab-48a4-914e-027ddb6fd5fa · outbound
Rectangles, triangles and Schr\"{o}dinger waves Fourier restric- tion conjecture and related problems
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 679517d6-e90b-4970-9be8-3eed5b85729b · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec4c89ec-4f99-49ed-8e86-b4adc8b69c83 · outbound
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ef00f22-2830-4e7d-800b-40d97c8de78d · outbound
Rectangles, triangles and Schr\"{o}dinger waves Iosevich, D
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba0fad58-2dd6-40d2-9e6e-b00e70998228 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe71a737-ee93-4187-98cb-0c0edc506644 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Kinoshita, S
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bd297f3-8097-46f0-bcc7-8cd200b01187 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Lewko,Counting rectangles and an improved restriction estimate for the paraboloid inF 3 p, Proc
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 746fff0b-c810-49a1-83bf-513f841297ee · outbound
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation efe2c6d0-e90c-46b4-b985-72e9569cb3c0 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40579200-01a4-4529-a11a-cc2b6c40971d · outbound
Rectangles, triangles and Schr\"{o}dinger waves Mizohata, On the Cauchy problem, Notes and Reports in Mathematics in Science and Engineering3, Academic Press, 1985
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3934c972-6417-44c6-b34c-5859acce1aa3 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac029a90-61c5-4d07-8889-e3e072a7419d · outbound
Rectangles, triangles and Schr\"{o}dinger waves Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c57ab5df-8a1a-4af6-9788-11c4db557f06 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Nahmod,The nonlinear Schr¨ odinger equation on tori: Integrating harmonic analysis, geometry, and probability, Bull
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ff92231-f23c-4ac3-a8cf-fb1496da565e · outbound
Rectangles, triangles and Schr\"{o}dinger waves com/index/model-disproves-discrete-geometry-conjecture/, May 20, 2026
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54963b87-0caf-4b0e-9d20-8059eff4604f · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23db9778-722d-4858-9609-1d1fdfe5e2fc · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e34f401f-4c30-4f9d-84b6-e19e2743b749 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Split primes and the Elekes-R\'onyai problem
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 726cebd7-0f7d-469b-b0d6-518478bf4ee1 · outbound
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e36ac4fd-af9a-4a8f-91b1-8a75d09b4cb2 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Shkredov,Energies and structure of additive sets, Electron
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1b1e933-3c95-4673-ba7a-84e38a33b2e8 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71b030f5-e1c0-4b5a-82d5-dba203309ccf · outbound
Rectangles, triangles and Schr\"{o}dinger waves Strichartz,Restriction of the Fourier transform to quadratic surfaces and decay of solutions of wave equations
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6707588-0090-4e51-a1b4-f7e3ec319c0d · outbound
Rectangles, triangles and Schr\"{o}dinger waves Takeuchi,A necessary condition for the well-posedness of the Cauchy problem for a certain class of evolution equations, Proceedings of the Japan Academy50(2) (1974), 133–137
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7cfc4eff-7a53-4ca6-82cc-f510581a7da0 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Takeuchi,On the Cauchy problem for some non-kowalewskian equations with distinct characteristic roots, Journal of Mathematics of Kyoto University20(1) (1980), 105–124
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3e560ba-1de4-4f0d-be2c-e897a35ba9ad · outbound
Rectangles, triangles and Schr\"{o}dinger waves Tao, Nonlinear Dispersive Equations: Local and Global Analysis, CBMS regional conference series in mathematics, 2006
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a6441f4-9ee2-473a-a75f-482cd2e1d1ff · outbound
Rectangles, triangles and Schr\"{o}dinger waves Tao, Higher Order Fourier Analysis, Graduate Studies in Mathematics142, American Mathematical Society 2012
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2361c824-aa47-4481-9499-284e1a35dfb7 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 246a2f5f-301e-45ac-964c-c52e7d622f08 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Yang,Some Mizohata–Takeuchi-type estimate for exponential sums,https://arxiv.org/abs/2511
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3aa1472d-d32f-41b3-ba2a-7bab66db3c49 · outbound
Rectangles, triangles and Schr\"{o}dinger waves Wigner,On the Quantum Correction For Thermodynamic Equilibrium, Phys
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.