Paper Citation Record · LEDGER

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 4 inbound Pith citation observations for arXiv:2506.05624.

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

pith.paper-citation-record.v1
2506.05624 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:22:44.844261Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:46.067652Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T15:25:47.410012Z

Reference resolution

22 of 22 outbound references displayed

verified exact2
verified fuzzy18
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0dc8bb84-96df-463e-a3b4-f6c38f2c372a · outbound

This paper cites Milman, and Stanislaw J.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Milman, and Stanislaw J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.175563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 60a834c0-2dd1-4333-8ecb-5bf454dc2b2f · outbound

This paper cites A stein conjecture for the circle.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type A stein conjecture for the circle

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.165188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f2ccee4d-cac4-410a-8968-d87e0ff76d54 · outbound

This paper cites Bourgain, A.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Bourgain, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.155617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5fa21e5-0d9e-48b6-9db2-f727f454c82e · outbound

This paper cites Bounded orthogonal systems and the λ(p)-set problem.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Bounded orthogonal systems and the λ(p)-set problem

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.145428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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

This paper cites A Counterexample to the Mizohata-Takeuchi Conjecture.

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 d92bc177-3501-49f5-b5b7-5735b0b998d7 · outbound

This paper cites Large sets with limited tube occupancy.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Large sets with limited tube occupancy

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.135191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6094cec-15af-445f-886c-e92525a8f57f · outbound

This paper cites The mizohata–takeuchi conjecture: An overview, 2022.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type The mizohata–takeuchi conjecture: An overview, 2022

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.124301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef4eb541-a5b3-42b3-9594-35306e14b905 · outbound

This paper cites H¨ anninen, and Stef´ an Ingi Valdimarsson.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type H¨ anninen, and Stef´ an Ingi Valdimarsson

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.114176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8050308b-449b-40a7-9a44-90cceeb676cc · outbound

This paper cites Some sharp inequalities of mizohata–takeuchi-type.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Some sharp inequalities of mizohata–takeuchi-type

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.102981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 669f3820-ff45-4803-887f-b118d79942f0 · outbound

This paper cites On the $N$-set occupancy problem.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type On the $N$-set occupancy problem

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:22:44.959782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a212ff30-dbc4-43fa-906a-7fab21f10bb2 · outbound

This paper cites New improvement to Falconer distance set problem in higher dimensions.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type New improvement to Falconer distance set problem in higher dimensions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:22:44.802912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c49d146-a453-4479-bf90-53487bd45d54 · outbound

This paper cites Sharp l2 estimate of schr¨ odinger maximal function in higher dimensions.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Sharp l2 estimate of schr¨ odinger maximal function in higher dimensions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.092632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 739a0b0b-acac-4072-99a3-1d128f8f0489 · outbound

This paper cites An enemy scenario in restriction theory.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type An enemy scenario in restriction theory

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.080519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8844ccf2-651f-40a3-ad3e-90e399ff156f · outbound

This paper cites On falconer’s distance set problem in the plane.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type On falconer’s distance set problem in the plane

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.068940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6f14047-5536-499d-81b1-d04825bf7fb5 · outbound

This paper cites On the Cauchy Problem, volume 3 of Notes and Reports in Mathematics in Science and Engineering.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type On the Cauchy Problem, volume 3 of Notes and Reports in Mathematics in Science and Engineering

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.057749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07bc4e48-8921-457e-b4fc-2c72d44c6b08 · outbound

This paper cites A sharp mizohata–takeuchi type estimate for the cone in R3.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type A sharp mizohata–takeuchi type estimate for the cone in R3

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:22:44.930787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 37f88a66-c4b8-41ea-8e31-0dd63a920172 · outbound

This paper cites A necessary condition for the well-posedness of the cauchy problem for a certain class of evolution equations.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type A necessary condition for the well-posedness of the cauchy problem for a certain class of evolution equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.045481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b0caaa91-107c-4da9-95af-9cd6aba1c1f8 · outbound

This paper cites On the cauchy problem for some non-kowalewskian equations with distinct charac- teristic roots.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type On the cauchy problem for some non-kowalewskian equations with distinct charac- teristic roots

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.032373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 25cc4b34-6d35-4802-8ca7-b3010b764d9f · outbound

This paper cites Constructions of majorizing measures, bernoulli processes and cotype.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Constructions of majorizing measures, bernoulli processes and cotype

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.019856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7dcc612c-763e-440c-8a69-f4eaf75638c3 · outbound

This paper cites Sections of smooth convex bodies via majorizing measures.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Sections of smooth convex bodies via majorizing measures

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:45.007957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 79085b86-f475-4eae-9b11-aac0c90bcecb · outbound

This paper cites Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems, volume 60 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems, volume 60 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:44.995793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 40b8a2f4-c49e-4acd-a6b5-791c1538bc4e · outbound

This paper cites High-Dimensional Probability: An Introduction with Applications in Data Sci- ence, volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics.

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type High-Dimensional Probability: An Introduction with Applications in Data Sci- ence, volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:22:44.983994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 9f8d0313-591a-43da-9590-b8d1e29baf4c · inbound

Mizohata-Takeuchi inequalities for orthonormal systems cites this paper.

Mizohata-Takeuchi inequalities for orthonormal systems Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:46.067652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b79d77ba-0587-4c7e-8b5e-04135d86b1b6 · 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 Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-15T10:29:55.973781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c2dbd1b3-a1e5-477e-a215-72ae4caea573 · 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 Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T18:18:41.001720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac029a90-61c5-4d07-8889-e3e072a7419d · inbound

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

Rectangles, triangles and Schr\"{o}dinger waves Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:25:47.413391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.