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Paper Citation Record · LEDGER

Rectangles, triangles and Schr\"{o}dinger waves

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.

pith.paper-citation-record.v1
2606.30178 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T03:39:33.084153Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

54 of 54 outbound references displayed

  • verified exact9
  • verified fuzzy0
  • unresolved44
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba5bf85d-ed5c-445a-b911-571e87719196 · outbound

This paper cites Remarks on the disproof of the unit distance conjecture.

Rectangles, triangles and Schr\"{o}dinger waves Remarks on the disproof of the unit distance conjecture

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:25:47.406267Z

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.

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Observation 06f2e51b-52b5-44d7-aeff-7c8e735ee53f · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:a67437e3b2ab5309d8ec66fc38945a9b968ebb1f600aaae100da5a1e71a8ebc8

Observation 9058ce96-346e-4a37-ab25-20787ba21525 · outbound

This paper cites Bennett, S.

Rectangles, triangles and Schr\"{o}dinger waves Bennett, S

Reference 3

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:86e0ab7d89765744a1726ee8ddba627047b1a64ced57247ebb8451756bc56886

Observation 283e4e3a-5bf0-4ab5-907f-198b4b3cbb8f · outbound

This paper cites Bennett, S.

Rectangles, triangles and Schr\"{o}dinger waves Bennett, S

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:cbe6c8f61047258947e58b5a341461f8cd57b276969c10d2d08c1becf531f525

Observation 2454fe2e-d280-40e9-8ca0-201de1d37cc7 · outbound

This paper cites Bennett, S.

Rectangles, triangles and Schr\"{o}dinger waves Bennett, S

Reference 5

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:c32caa0b4eabf3bc2fd47cbb86e70b4dfe274732ca28755c987a9eb035723c42

Observation 5127e6a7-3276-4378-a98c-46c99b6ed1dc · outbound

This paper cites Bennett, T.

Rectangles, triangles and Schr\"{o}dinger waves Bennett, T

Reference 6

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:c6480b2a94c0dd0f21a39ed2972e4d5522f4a45b79a0d7d70118cb68c3c58db3

Observation 46e638d7-d395-431a-bcd7-699aec84a0ee · outbound

This paper cites The sum-product conjecture is false for real numbers.

Rectangles, triangles and Schr\"{o}dinger waves The sum-product conjecture is false for real numbers

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:25:47.417161Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:8cacd6f343439b9e32a8f55b0ee6007b535a432f951231bdfa7d8d55db9979b0

Observation a08e23af-12dc-4327-8575-1cf8555c5ea2 · outbound

This paper cites Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to non- linear evolution equations.

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

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:8200c6468dab1672a47c8b072a1bbe14a5dbceb2047b20f904df82e5a993901e

Observation 968aa369-67fb-458b-9fc5-867970f6a2db · outbound

This paper cites Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations.

Rectangles, triangles and Schr\"{o}dinger waves Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Reference 9

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:b29754c4170760f48b00a17cb49374fc2207ac457f06b3dac88f559354a5b14e

Observation 4fca43cd-51a8-41ba-9a70-ff16ce4695ac · outbound

This paper cites Bourgain, C.

Rectangles, triangles and Schr\"{o}dinger waves Bourgain, C

Reference 10

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:1c8e793fe293b895694a30562d57acfa28e16d28463a7c18ee598bc2dfeed0e3

Observation 2534265b-a3a9-41b5-bba8-5b93ccd48095 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:bba82c3121ea902f90fe7d729ecaba65a7ecc96cf3bc0462957e8be6bf444638

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

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

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:b6c30e4039aef1dee3799db45ae70dca456c5b9e9901c2b86a44f652ee04216e

Observation b98ac909-4a9e-4e2c-b718-4a8116f94b6b · outbound

This paper cites Power loss for the Mizohata-Takeuchi conjecture onC k convex hypersurfaces.

Rectangles, triangles and Schr\"{o}dinger waves Power loss for the Mizohata-Takeuchi conjecture onC k convex hypersurfaces

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:25:47.394660Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:5fb4c99cc564041945118c3726158c90e6eba68dfbd7ee5ccda16e17b7395e1e

Observation 0b79c0b4-03e9-43af-9277-12ee0dd9e9b0 · outbound

This paper cites Carbery,Large sets with limited tube occupancy, J.

Rectangles, triangles and Schr\"{o}dinger waves Carbery,Large sets with limited tube occupancy, J

Reference 14

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:db6de13097e56c83b871eda9321db76d759a589b1a492964919109b36775d061

Observation 7d1ba114-8a44-4693-914d-9d535012a77a · outbound

This paper cites Carbery, M.

Rectangles, triangles and Schr\"{o}dinger waves Carbery, M

Reference 15

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:1cd3650c5544d0dfa325010fb571aa85813fe824538cbcc73c496ee0f11c84a8

Observation a6b7720b-d6d6-4647-acaa-4d6023586dd1 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:a758516fcfae2a8221a1d2422e5dfb592adada5f0e4ee6d974f4820237f7a7f2

Observation e8de0198-86ef-4f14-9394-a34b631270dd · outbound

This paper cites A combinatorial large sieve for Sidon sets, distances, and norm forms.

Rectangles, triangles and Schr\"{o}dinger waves A combinatorial large sieve for Sidon sets, distances, and norm forms

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:25:47.408991Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:87596f0ff29af36cd1680bd1e7b4062db209af5394793f9d1f9d67253c744fa7

Observation afec49d6-8a36-4719-a53a-11790a48d298 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 18

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:e21fab25512836835f0e96b3ddd655ad87de1b8269506e25819243b3a7b24a6d

Observation 84569c91-aeb4-4214-a167-c235fdb859ef · outbound

This paper cites Davenport, Multiplicative number theory.

Rectangles, triangles and Schr\"{o}dinger waves Davenport, Multiplicative number theory

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:298cca4d00e994de185ebbfc230df7f0de05fab686869479d6d173ee7d1df948

Observation b8c35a99-1246-4a18-a3ca-e767d826bf3b · outbound

This paper cites Demeter, Fourier Restriction, Decoupling, and Applications, Cambridge University Press 2020.

Rectangles, triangles and Schr\"{o}dinger waves Demeter, Fourier Restriction, Decoupling, and Applications, Cambridge University Press 2020

Reference 20

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:4f41803fb94dacc1841bf0d8aa010bf6bfaa84676860eab6d93e4dac1881f0cb

Observation 75fa7a2b-bc16-4a24-af7d-7eef3a54532a · outbound

This paper cites Dendrinos, A.

Rectangles, triangles and Schr\"{o}dinger waves Dendrinos, A

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:c574b4ea5635f9262c4ac488ef0e8052b61b69034c0f5f1d13f4f09b19551be4

Observation 15b5b22d-44e2-4017-b2fd-72210cbffe38 · outbound

This paper cites Du,Weighted Fourier extension estimates and applications, Proc.

Rectangles, triangles and Schr\"{o}dinger waves Du,Weighted Fourier extension estimates and applications, Proc

Reference 22

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:9ff0a4d1ba846c0b386309fa3d44b1d0b0c17ff29f79c914753f7934159128a0

Observation 97853fb0-c825-41a9-97fb-816d8c8e0cf5 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 23

Resolution
parse uncertain
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:9a4690596d46cfcf9a9e2f592294e937875d8513c5819589618cc084c1c99c68

Observation 8e68ec61-1715-4137-a0dc-32fa17fecb96 · outbound

This paper cites Dujella, Number theory, ˇSkolska Knjiga, Zagreb, 2021.

Rectangles, triangles and Schr\"{o}dinger waves Dujella, Number theory, ˇSkolska Knjiga, Zagreb, 2021

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:fc50a3dfcc1c879ac4227e447f2d99be0479e10ef0ca7629eddd2610f22324bd

Observation ea640919-5746-4aaf-b33f-e208ea40d80e · outbound

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

Rectangles, triangles and Schr\"{o}dinger waves Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:25:47.400607Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:ed47103400be0f56a810954fb4fecbac974e8ce2db7cc4020e7f169b85a2c0d8

Observation f3b3989b-0f0c-4093-acdc-f8b21db4e19d · outbound

This paper cites Ferrante, PhD thesis, University of Birmingham 2024.

Rectangles, triangles and Schr\"{o}dinger waves Ferrante, PhD thesis, University of Birmingham 2024

Reference 26

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:8843facf9e710b9bbe6a533d0570565455859d1de1df207c4f757e473618a1fe

Observation 63dda29e-33ab-48a4-914e-027ddb6fd5fa · outbound

This paper cites Fourier restric- tion conjecture and related problems.

Rectangles, triangles and Schr\"{o}dinger waves Fourier restric- tion conjecture and related problems

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:4f0f0aafd2f029596bea72beaebdc5de96fa0e52e16167a039ffb0421e454391

Observation 679517d6-e90b-4970-9be8-3eed5b85729b · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 28

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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:f3a132a731abbc2b7f5e62db4ace2c9d76efa221579507c63b31294d5640a4e8

Observation ec4c89ec-4f99-49ed-8e86-b4adc8b69c83 · outbound

This paper cites Hickman, J.

Rectangles, triangles and Schr\"{o}dinger waves Hickman, J

Reference 29

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unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:663d47415559c1addc43b2eb30d32fb252119b97a22dab871de29ead053457a5

Observation 2ef00f22-2830-4e7d-800b-40d97c8de78d · outbound

This paper cites Iosevich, D.

Rectangles, triangles and Schr\"{o}dinger waves Iosevich, D

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:8feee44f26f89c8ab7657d1fdc9806e5e7574fdd513f166aff556e323607d26c

Observation ba0fad58-2dd6-40d2-9e6e-b00e70998228 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 31

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:49f6680c9a561b4c23b31a4b6e43ab7660b80652863bad654f0dceffe428f602

Observation fe71a737-ee93-4187-98cb-0c0edc506644 · outbound

This paper cites Kinoshita, S.

Rectangles, triangles and Schr\"{o}dinger waves Kinoshita, S

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:cade45aac01e682da5c2d9a0cc42da16f4b1a3f067e107064593f7a245bbd85b

Observation 9bd297f3-8097-46f0-bcc7-8cd200b01187 · outbound

This paper cites Lewko,Counting rectangles and an improved restriction estimate for the paraboloid inF 3 p, Proc.

Rectangles, triangles and Schr\"{o}dinger waves Lewko,Counting rectangles and an improved restriction estimate for the paraboloid inF 3 p, Proc

Reference 33

Resolution
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no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:a454e5c53e167fec13a7c580694b4385d214b0a32d2fd373efd1c293b1e68412

Observation 746fff0b-c810-49a1-83bf-513f841297ee · outbound

This paper cites Liu and X.

Rectangles, triangles and Schr\"{o}dinger waves Liu and X

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:25:47.403632Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:be412ff31aa7a6d013e8bbca2ff825d93abc769befddaa0133a1134d5a72642c

Observation efe2c6d0-e90c-46b4-b985-72e9569cb3c0 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:e9f6c9ee0ec3a38d57d84e3f254dab32ce919e66c7413137983d8b95a11f5d25

Observation 40579200-01a4-4529-a11a-cc2b6c40971d · outbound

This paper cites Mizohata, On the Cauchy problem, Notes and Reports in Mathematics in Science and Engineering3, Academic Press, 1985.

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

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unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:f944956a8c823c334acb0d13b142bda3a548b80ca9cf5deec4bd051d6005ad78

Observation 3934c972-6417-44c6-b34c-5859acce1aa3 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 37

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unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:23d2dfdd1be958e2d4581728add1c3f37c85bcbce31bc05fabb797d1c96eb4f0

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

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

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:6c6937ec056a155932b2abe36a5d97a17167cc0d7547f63cc9a9d4a4912ba3ec

Observation c57ab5df-8a1a-4af6-9788-11c4db557f06 · outbound

This paper cites Nahmod,The nonlinear Schr¨ odinger equation on tori: Integrating harmonic analysis, geometry, and probability, Bull.

Rectangles, triangles and Schr\"{o}dinger waves Nahmod,The nonlinear Schr¨ odinger equation on tori: Integrating harmonic analysis, geometry, and probability, Bull

Reference 39

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unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:d49c1b83568099344e5f8f43ebc83aaac0386d96ce699a8dd030976349027619

Observation 8ff92231-f23c-4ac3-a8cf-fb1496da565e · outbound

This paper cites com/index/model-disproves-discrete-geometry-conjecture/, May 20, 2026.

Rectangles, triangles and Schr\"{o}dinger waves com/index/model-disproves-discrete-geometry-conjecture/, May 20, 2026

Reference 40

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:f2d8489306354fe2349203bb91fa0eb0af24df492f8c65d855b75b2529d1bc54

Observation 54963b87-0caf-4b0e-9d20-8059eff4604f · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:a3ef252472d90522ca8e8517cd8ffbddfe7c94b18df8b51041dfc9caba07d6fd

Observation 23db9778-722d-4858-9609-1d1fdfe5e2fc · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:488c9518e9895ddfac9cfec4243ecd307f29c96385b659426741f72d8e4fdfff

Observation e34f401f-4c30-4f9d-84b6-e19e2743b749 · outbound

This paper cites Split primes and the Elekes-R\'onyai problem.

Rectangles, triangles and Schr\"{o}dinger waves Split primes and the Elekes-R\'onyai problem

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:25:47.391977Z

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.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:0f1035185cc11e63d6bb4291b402c0615e7b2f0043db4b31db30fa67dfc40ccc

Observation 726cebd7-0f7d-469b-b0d6-518478bf4ee1 · outbound

This paper cites Rudnev, I.

Rectangles, triangles and Schr\"{o}dinger waves Rudnev, I

Reference 44

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:1e139e6e0dac57a89e4f6de5ca8ee27e5db7fa30e2591dc79be617bb6b508f7f

Observation e36ac4fd-af9a-4a8f-91b1-8a75d09b4cb2 · outbound

This paper cites Shkredov,Energies and structure of additive sets, Electron.

Rectangles, triangles and Schr\"{o}dinger waves Shkredov,Energies and structure of additive sets, Electron

Reference 45

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:35089329180810d06d1dcf145fcdc3b40acd6cde2d0b7438d4a872b7ed6ccdcb

Observation e1b1e933-3c95-4673-ba7a-84e38a33b2e8 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:763cfe442a5221fb5aff45433e4f05d633370bb49e3d647173537b89ba22b59c

Observation 71b030f5-e1c0-4b5a-82d5-dba203309ccf · outbound

This paper cites Strichartz,Restriction of the Fourier transform to quadratic surfaces and decay of solutions of wave equations.

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

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:344559c03c2cf73ee2bfcc61c9202b7a40a67536e3f2f601e9041802f038b3fc

Observation e6707588-0090-4e51-a1b4-f7e3ec319c0d · outbound

This paper cites 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.

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

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:fc19917116e00d5ee149c4c73b27f07db0f634282361af1fcd792bfd11ee4396

Observation 7cfc4eff-7a53-4ca6-82cc-f510581a7da0 · outbound

This paper cites Takeuchi,On the Cauchy problem for some non-kowalewskian equations with distinct characteristic roots, Journal of Mathematics of Kyoto University20(1) (1980), 105–124.

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

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:9f146ce17a3ad2dca53fb65b333fe23898842842447993c2acb25de118ceab46

Observation f3e560ba-1de4-4f0d-be2c-e897a35ba9ad · outbound

This paper cites Tao, Nonlinear Dispersive Equations: Local and Global Analysis, CBMS regional conference series in mathematics, 2006.

Rectangles, triangles and Schr\"{o}dinger waves Tao, Nonlinear Dispersive Equations: Local and Global Analysis, CBMS regional conference series in mathematics, 2006

Reference 50

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:c65b291ca6729e6a6d27b2cb2ded98f85185cf8d57c0d8c64fd96f19b5b5eeab

Observation 3a6441f4-9ee2-473a-a75f-482cd2e1d1ff · outbound

This paper cites Tao, Higher Order Fourier Analysis, Graduate Studies in Mathematics142, American Mathematical Society 2012.

Rectangles, triangles and Schr\"{o}dinger waves Tao, Higher Order Fourier Analysis, Graduate Studies in Mathematics142, American Mathematical Society 2012

Reference 51

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:2dc74be754ffc75041fa4742c5f587a74c519468a3bfe6e2571ea4eff66aa787

Observation 2361c824-aa47-4481-9499-284e1a35dfb7 · outbound

This paper cites an unresolved cited work.

Rectangles, triangles and Schr\"{o}dinger waves Unresolved cited work

Reference 52

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:67dfade166c0a3ccde6de526741c36e6b7492cefc4bce0690fdb6ae1f4c29341

Observation 246a2f5f-301e-45ac-964c-c52e7d622f08 · outbound

This paper cites Yang,Some Mizohata–Takeuchi-type estimate for exponential sums,https://arxiv.org/abs/2511.

Rectangles, triangles and Schr\"{o}dinger waves Yang,Some Mizohata–Takeuchi-type estimate for exponential sums,https://arxiv.org/abs/2511

Reference 53

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:22fcdef96a9d8dd251c951a8b83cb8f7c7f9431401a6993333b0ee95e341b3e8

Observation 3aa1472d-d32f-41b3-ba2a-7bab66db3c49 · outbound

This paper cites Wigner,On the Quantum Correction For Thermodynamic Equilibrium, Phys.

Rectangles, triangles and Schr\"{o}dinger waves Wigner,On the Quantum Correction For Thermodynamic Equilibrium, Phys

Reference 54

Resolution
unresolved
no resolver link, observed 2026-06-30T03:39:33.084153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T03:39:33.084153Z digest=sha256:d19728cb989020a30f288210cf85bfa6b90765124c30a3023a5b898d72ca1b90

Pith citing papers

No inbound Pith citation observations are available.