Paper Citation Record · LEDGER

A Counterexample to the Mizohata-Takeuchi Conjecture

As of 13 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 7 inbound Pith citation observations for arXiv:2502.06137.

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

pith.paper-citation-record.v1
2502.06137 v2

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:45:59.432538Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:45.956734Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

2 of 2 outbound references displayed

verified exact0
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 2dd1623d-ca7c-4942-8751-9a55e72ac880 · outbound

This paper cites A note on localised weighted inequalities for the extension operator.

A Counterexample to the Mizohata-Takeuchi Conjecture A note on localised weighted inequalities for the extension operator

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T16:45:59.427083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee53c760-8bc8-4056-8300-71e958ce6c31 · outbound

This paper cites A sharp weighted Fourier extension estim ate for the cone in R3 based on circle tangencies.

A Counterexample to the Mizohata-Takeuchi Conjecture A sharp weighted Fourier extension estim ate for the cone in R3 based on circle tangencies

Reference 1985

Resolution: unresolved; no resolver link, observed 2026-08-08T16:45:59.432538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation cc62f8ed-556f-43d8-98e3-b73755f894f0 · inbound

Mizohata-Takeuchi inequalities for orthonormal systems cites this paper.

Mizohata-Takeuchi inequalities for orthonormal systems A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:45.956734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7368cb70-5d8d-41db-9286-593df6eb77c0 · inbound

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type cites this paper.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T10:22:44.779282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e2d9573-2be6-4c2f-9cbd-8ebfbca0306a · inbound

Trace and Observability Inequalities for Laplace Eigenfunctions on the Torus cites this paper.

Trace and Observability Inequalities for Laplace Eigenfunctions on the Torus A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T15:19:39.947970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5050cf65-7334-4061-8af0-40364e126a24 · inbound

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates cites this paper.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-15T10:29:55.982156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 115c2ee9-451e-4322-942a-ab1012d3e3eb · inbound

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates cites this paper.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T18:18:36.817666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 024aec8c-5f32-486e-83f5-e6f965326034 · inbound

Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture cites this paper.

Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-26T02:18:54.791265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cac8b3a7-8154-40b4-937c-eb3c7c8ce3e1 · inbound

Rectangles, triangles and Schr\"{o}dinger waves cites this paper.

Rectangles, triangles and Schr\"{o}dinger waves A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:25:47.398099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.