Paper Citation Record · LEDGER

Quantitative flatness and obstructions in Fourier analysis

As of 9 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2606.13170.

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

pith.paper-citation-record.v1
2606.13170 v1

Coverage vector

measured 76 of 76 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:17:14.220738Z

measured 77 of 77 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:33:55.258794Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

76 of 76 outbound references displayed

verified exact11
verified fuzzy0
unresolved65
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9b89bc2-21cf-49e9-823c-4cfb6651f351 · outbound

This paper cites Aaronson, M.

Quantitative flatness and obstructions in Fourier analysis Aaronson, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27db98a9-8943-4446-b82b-7a99251d29a8 · outbound

This paper cites $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves.

Quantitative flatness and obstructions in Fourier analysis $L^2$-Flattening of Self-similar Measures on Non-degenerate Curves

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.783439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6da352a1-1aac-475e-af7f-4f3936f51142 · outbound

This paper cites Uniformly perfect measures on strictly convex planar graphs arel 2-flattening.https://arxiv.org/pdf/2509.09354,.

Quantitative flatness and obstructions in Fourier analysis Uniformly perfect measures on strictly convex planar graphs arel 2-flattening.https://arxiv.org/pdf/2509.09354,

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.781326Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cd500b0d-13c1-4cd8-97ed-b029eda3afac · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation f9535b88-d051-46e7-a041-2e76f85fc8d5 · outbound

This paper cites Bak and A.

Quantitative flatness and obstructions in Fourier analysis Bak and A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 801e6896-b36a-414a-b1c4-b32d6fef3ab8 · outbound

This paper cites Baker and A.

Quantitative flatness and obstructions in Fourier analysis Baker and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation e756b0ba-cb52-4fae-a2b8-4ce5dae693b1 · outbound

This paper cites Fourier Decay from $L^2$-Flattening.

Quantitative flatness and obstructions in Fourier analysis Fourier Decay from $L^2$-Flattening

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.779062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cec2b3f0-7211-4b46-953d-0142f495ba21 · outbound

This paper cites Fourier transform of nonlinear images of self-similar measures: qualitative aspects.

Quantitative flatness and obstructions in Fourier analysis Fourier transform of nonlinear images of self-similar measures: qualitative aspects

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-06-27T05:20:35.776207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation baa85e0b-c45b-431d-8728-b75f09071ee1 · outbound

This paper cites B\'ar\'any, K.

Quantitative flatness and obstructions in Fourier analysis B\'ar\'any, K

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation b43d5654-0796-4417-90dd-0c4da5c7b37e · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation c6e4fde9-32ca-4209-a4e6-19a4e867be16 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 11

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Observation d565ae9a-6d1f-476a-8c3c-edbdb6df0095 · outbound

This paper cites Bourgain, S.

Quantitative flatness and obstructions in Fourier analysis Bourgain, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 050bf361-238a-4f1d-908d-4f7b9c809616 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation ecce31e3-bb46-4b40-bb92-20c8ca6ea810 · outbound

This paper cites Carbery, F.

Quantitative flatness and obstructions in Fourier analysis Carbery, F

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 2b6a7cef-7a35-4428-b463-2ad945560562 · outbound

This paper cites Carnovale, J.

Quantitative flatness and obstructions in Fourier analysis Carnovale, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 58a12e2d-e684-45c7-b7ec-1c6f305b94d9 · outbound

This paper cites $L^2$ restriction estimates from the Fourier spectrum.

Quantitative flatness and obstructions in Fourier analysis $L^2$ restriction estimates from the Fourier spectrum

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.778722Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d97de370-2a39-4038-b78e-71a11f5eb0f5 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation b306602b-b29c-4f6c-914a-26c99dab210b · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation ef377629-9838-494a-a285-47c00d7d3517 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 19

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Observation 3e4cb98b-3ead-49f6-99c8-de44bcdbeb86 · outbound

This paper cites Denker and M.

Quantitative flatness and obstructions in Fourier analysis Denker and M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation dbc8c14d-b894-4f0c-af68-f18c75092a22 · outbound

This paper cites Ekstr\"om, T.

Quantitative flatness and obstructions in Fourier analysis Ekstr\"om, T

Reference 21

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Observation 1f7d2fbd-ec73-426c-a1f4-0f916b791e07 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 174d7000-b175-4213-b9dc-b150f5f26246 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 23

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Observation 13b74d61-3bc2-49e9-937a-833c436505c2 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation c9241eb2-5683-45e7-8efa-7bb42fe064a8 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 8397003f-c553-47c9-8f2a-927cae09f6fc · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 823d0346-d347-4b2c-8d97-9809fc55dffb · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 0fdb6e81-cf55-4f3a-bfca-a2102df16e38 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation e452c210-8a3f-429b-a20f-ca35f59c490e · outbound

This paper cites Fourier decay of product measures.

Quantitative flatness and obstructions in Fourier analysis Fourier decay of product measures

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.767398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 576e39f3-748c-485e-bbf5-0d86802d4a9e · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation b7749528-a59e-4d50-8b2b-9cfa8d0d0824 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation fdb13c62-9bfa-4d37-9124-ae9c563c5c53 · outbound

This paper cites A Fourier analytic approach to exceptional set estimates for orthogonal projections.

Quantitative flatness and obstructions in Fourier analysis A Fourier analytic approach to exceptional set estimates for orthogonal projections

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.770402Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6049529c-3096-4ecf-9792-f8e88f8223e6 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.761092Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6b16e8c7-1ca2-4946-a929-b5dfd78fc31c · outbound

This paper cites On Fourier decay and the distance set problem.

Quantitative flatness and obstructions in Fourier analysis On Fourier decay and the distance set problem

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-06-27T05:20:35.761291Z

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Observation 92161c24-bfc4-4b82-8407-95641a0f6b07 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 35

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Observation 52cb7525-b2b1-444f-b392-2a9451b02404 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 0d0715ae-8410-46e4-8b18-f540f185239a · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 7b5f8c59-8781-456d-8945-75a8246775a2 · outbound

This paper cites Grafakos.

Quantitative flatness and obstructions in Fourier analysis Grafakos

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation b176dbd8-4c49-4042-8257-ceedaedc9b74 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 39

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Observation a1bf99ac-b1cb-475a-8f9e-593c41f1252f · outbound

This paper cites Hambrook and I.

Quantitative flatness and obstructions in Fourier analysis Hambrook and I

Reference 40

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Observation 2708e672-3223-472c-bf38-f5160afffa10 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 41

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Observation 103a6893-ee23-4a72-98b8-ad57dbf8abf6 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 42

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Observation 6741cf8a-9d09-42fc-b99e-b47bd01ef5f6 · outbound

This paper cites Jordan, M.

Quantitative flatness and obstructions in Fourier analysis Jordan, M

Reference 43

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Observation b6bf1e2d-ec52-4a3e-b42c-a17fbd991255 · outbound

This paper cites Jordan and T.

Quantitative flatness and obstructions in Fourier analysis Jordan and T

Reference 44

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Observation dccb042a-6cee-4d4f-b922-15017dc9a972 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 45

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Observation 1fb2769b-50e8-485b-b342-33daac96a39c · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 46

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Observation 4bcf26d8-2101-49c3-bb87-f68ae6af2099 · outbound

This paper cites Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$.

Quantitative flatness and obstructions in Fourier analysis Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-06-27T05:20:35.770242Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8eba1938-4d9b-4b22-bfc6-3bad60c6dc57 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 48

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Observation 87f3cb2b-0554-4eab-97f0-1fd2271735d1 · outbound

This paper cites Lee and A.

Quantitative flatness and obstructions in Fourier analysis Lee and A

Reference 49

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Observation de6db9ae-0ed3-49b1-912d-ac91bba6aba0 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 50

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.755673Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 137add33-a610-4dd8-b767-469a6eba6fcf · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 14509385-48f6-446e-9992-827ff39798b4 · outbound

This paper cites L\"u and L.-F.

Quantitative flatness and obstructions in Fourier analysis L\"u and L.-F

Reference 52

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Observation 71f8ca23-8386-43cb-9e3a-0a4fc06750fa · outbound

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 53

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Observation c55e889d-c039-429a-8959-9a93e4835002 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 54

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Observation e9cf607a-0b7a-4cec-9c24-eb4725193d1a · outbound

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 55

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Observation 4755eaca-8370-442c-8d80-ac7374526e31 · outbound

This paper cites Mockenhaupt.

Quantitative flatness and obstructions in Fourier analysis Mockenhaupt

Reference 56

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Observation 693712ec-c1fc-421d-85b6-98e015a0d54b · outbound

This paper cites M\"uller.

Quantitative flatness and obstructions in Fourier analysis M\"uller

Reference 57

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Observation 1e2c3d68-00f1-4c35-91c6-c50d8ade9f0f · outbound

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 58

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 0a399c80-bcd0-4661-9cc1-1b4946ea6305 · outbound

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 59

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Observation 1a4b2732-fa6a-4ec2-81fd-bb4d78509e1f · outbound

This paper cites Peres and B.

Quantitative flatness and obstructions in Fourier analysis Peres and B

Reference 60

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Observation ff83088f-8d1f-465a-981b-a67d84e86e65 · outbound

This paper cites Pyörälä, P.

Quantitative flatness and obstructions in Fourier analysis Pyörälä, P

Reference 61

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Observation 35e82dfd-b7df-40d0-81e5-4c978b73d18b · outbound

This paper cites Roos and A.

Quantitative flatness and obstructions in Fourier analysis Roos and A

Reference 62

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Observation a0db44e5-0b73-43d5-862a-5a91b2d31c90 · outbound

This paper cites Rossi and P.

Quantitative flatness and obstructions in Fourier analysis Rossi and P

Reference 63

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Observation 35be95a4-731a-4acd-a218-9cc751743dfa · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 64

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Observation 55bd8844-9f61-4f2e-9cc9-a7ea7cc38b55 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 65

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Observation 3371589f-fa68-4f02-ac96-4ee8b493a7da · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 66

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Source-reported events for the cited work

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Observation ce1b0ba5-1783-465c-99c4-656758db1090 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 67

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97190bcf-a310-426f-840b-4618ec292528 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 68

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 980fcfe8-7f6d-46b0-bf51-fa6445a4e0e1 · outbound

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

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Observation 7a167d8c-2865-4a6a-83eb-4ef6501add0d · outbound

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Quantitative flatness and obstructions in Fourier analysis Shmerkin and V

Reference 70

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

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Observation 9d6074aa-0c6b-44e5-a8e3-60402bf391dc · outbound

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Quantitative flatness and obstructions in Fourier analysis Tao and J

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Unavailable: canonical work link unavailable.

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Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 72

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8aa0d69-b824-4706-aa62-85ddbdc954d5 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 73

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

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Observation 38859ea2-1a85-44ec-92f0-7aced8b61d97 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 74

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea70126b-0450-4fbe-b284-c92f5300f861 · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 75

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1821c083-f8fa-41e7-ba15-e331bc9345db · outbound

This paper cites an unresolved cited work.

Quantitative flatness and obstructions in Fourier analysis Unresolved cited work

Reference 76

Resolution: unresolved; no resolver link, observed 2026-06-27T05:17:14.220738Z

Source-reported events for the cited work

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Pith citing papers

Observation 319b94e3-9964-4dde-9369-8d119a0929a2 · inbound

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ cites this paper.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Quantitative flatness and obstructions in Fourier analysis

Reference 15

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Source-reported events for the cited work

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