Pith. sign in

Paper Citation Record · LEDGER

Dimension-free Fourier restriction inequalities

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2412.03942.

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

pith.paper-citation-record.v1
2412.03942 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:06:53.600235Z

measured 33 of 33 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:05:35.328215Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:05:37.560440Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7480fe2c-f236-45d7-9b20-845b4d695bca · outbound

This paper cites Abramowitz, I.

Dimension-free Fourier restriction inequalities Abramowitz, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.169008Z

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.

source=pdf_text observed=2026-08-11T22:06:53.375165Z digest=sha256:c379dfad0e769c87f29df5abfb08a7a1d76d28edd2a1bb47cf58b120145df316

Observation bce03beb-de04-4867-a313-3a3779438b34 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:54.152251Z

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.

source=pdf_text observed=2026-08-11T22:06:53.382012Z digest=sha256:9ef3600eca194572c6f05bd167108e1f7bde834420ee957681caf1af73931fe7

Observation 25e39e7e-3c61-4dc0-969c-7f6e849a19a8 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:54.133761Z

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.

source=pdf_text observed=2026-08-11T22:06:53.387781Z digest=sha256:b1f96f0bd4f04cf822b104098e52f0951447e76f81433dbaee5bab2ba37febbc

Observation 46c636c0-a3e5-4069-9855-42c80161533d · outbound

This paper cites Becker, Sharp Fourier extension for functions with localized suppo rt on the circle.

Dimension-free Fourier restriction inequalities Becker, Sharp Fourier extension for functions with localized suppo rt on the circle

Reference 4

Resolution
verified exact
doi, observed 2026-08-11T22:06:53.646559Z

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.

source=pdf_text observed=2026-08-11T22:06:53.393511Z digest=sha256:a7d7ebba220b18bc7488a0fdbf39bffb56aea6af9a91bf5f51172d14efa00625

Observation 3bad61eb-a7a1-41b3-a45b-f742c44b427c · outbound

This paper cites Beckner, Inequalities in Fourier analysis.

Dimension-free Fourier restriction inequalities Beckner, Inequalities in Fourier analysis

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.116903Z

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.

source=pdf_text observed=2026-08-11T22:06:53.398980Z digest=sha256:56fac47a12926be2b7a2e845421ac2078eb90fd7ff268b4537d9aaaca8cde39b

Observation 1175ff7c-0225-4fde-a719-04bfb8dee0b5 · outbound

This paper cites Bennett, N.

Dimension-free Fourier restriction inequalities Bennett, N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.099471Z

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.

source=pdf_text observed=2026-08-11T22:06:53.405358Z digest=sha256:5ecc042faa3feff54d7e8e96dcad292c26dc9166cf18d977e88d78019893907e

Observation 6c779bcb-2d52-49af-97d6-ec1665ca5a59 · outbound

This paper cites Bennett, N.

Dimension-free Fourier restriction inequalities Bennett, N

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.081642Z

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.

source=pdf_text observed=2026-08-11T22:06:53.412621Z digest=sha256:3ae92990d0c21d7034ef1af72a414320f790de8177271434c83bcfb929fdd67e

Observation 0f2ace17-2a1e-4f1e-9037-ba671b47fbec · outbound

This paper cites Bourgain, M.

Dimension-free Fourier restriction inequalities Bourgain, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.063518Z

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.

source=pdf_text observed=2026-08-11T22:06:53.420841Z digest=sha256:39070b49ba8bc94981e61b76de10fb28c498d63f26979615ead46cbb1b0e773e

Observation e23f7e19-8386-4655-8de3-882f77335fbd · outbound

This paper cites Carleson, P.

Dimension-free Fourier restriction inequalities Carleson, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.046829Z

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.

source=pdf_text observed=2026-08-11T22:06:53.426997Z digest=sha256:0b7377741c6aee4ee4fc49e4b8131960881d23df96b2f79a5c24811bb3ee1e0c

Observation 9f3658ab-07c1-4867-b5ea-5ff40cbff50c · outbound

This paper cites Carneiro, D.

Dimension-free Fourier restriction inequalities Carneiro, D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.030317Z

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.

source=pdf_text observed=2026-08-11T22:06:53.436260Z digest=sha256:7d736b2baa581acc37a2975d2c558fc31e9bda615a586a99315aa1b62cd1f1f0

Observation 49a2d5a7-b6cd-451c-8d3a-3a7687e8dd3d · outbound

This paper cites Ciccone, F.

Dimension-free Fourier restriction inequalities Ciccone, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:54.014453Z

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.

source=pdf_text observed=2026-08-11T22:06:53.446339Z digest=sha256:13bef7b95722c8a6fc5f311004f4ae2abe7893c9853cc2e15821ef657b9697f6

Observation 0f9b087d-ecc4-44da-b9a7-fb9044aafc28 · outbound

This paper cites Fefferman, Inequalities for strongly singular convolution operators.

Dimension-free Fourier restriction inequalities Fefferman, Inequalities for strongly singular convolution operators

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.998215Z

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.

source=pdf_text observed=2026-08-11T22:06:53.451555Z digest=sha256:9e3d79f26ec52ea76ce332be711883e324502ba9bb25db5bbc7b5ec3f3b1ed3f

Observation 5b81017a-43ed-42ee-8e57-9276fa9b9702 · outbound

This paper cites Foschi, Global maximizers for the sphere adjoint Fourier restricti on inequality.

Dimension-free Fourier restriction inequalities Foschi, Global maximizers for the sphere adjoint Fourier restricti on inequality

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.981218Z

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.

source=pdf_text observed=2026-08-11T22:06:53.458479Z digest=sha256:edbe27be439488ed89dea4d999ba7459b5f23e6285aa26404a3b6d8e90c277dc

Observation 5f8a8437-2c6f-476a-a79f-424709cbf00b · outbound

This paper cites Foschi, D.

Dimension-free Fourier restriction inequalities Foschi, D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.964306Z

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.

source=pdf_text observed=2026-08-11T22:06:53.468334Z digest=sha256:e9c24662cee0405251c62bc49e62b119779aff8e15101d24ede02d5054d0140a

Observation ea3e7f54-73d5-43c2-ad7e-9ace0b17313d · outbound

This paper cites Gon¸ calves, G.

Dimension-free Fourier restriction inequalities Gon¸ calves, G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.945752Z

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.

source=pdf_text observed=2026-08-11T22:06:53.474760Z digest=sha256:a4f2c0eb7fe79a6c98b3c5ea7eb4f23a362cae089485691333f4f6980ec99160

Observation 80d9b7de-9227-4bb0-b5ad-a6025ab0ce22 · outbound

This paper cites Hejna, Dimension-free Lp-estimates for vectors of Riesz transforms in the rational D unkl setting.

Dimension-free Fourier restriction inequalities Hejna, Dimension-free Lp-estimates for vectors of Riesz transforms in the rational D unkl setting

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.929820Z

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.

source=pdf_text observed=2026-08-11T22:06:53.483012Z digest=sha256:1ab752ca718e6627502943f0aa8e6fc4bfedb8ca63a3948998d09713d36083fe

Observation fc548933-fbe1-41c2-ae09-53fc352d8bc3 · outbound

This paper cites Kovaˇ c,Fourier restriction implies maximal and variational Fouri er restriction.

Dimension-free Fourier restriction inequalities Kovaˇ c,Fourier restriction implies maximal and variational Fouri er restriction

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.913823Z

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.

source=pdf_text observed=2026-08-11T22:06:53.491938Z digest=sha256:ea5ec0887e645909a91ed03f28fd68459b5334423829a8c49cc3bfe347a796d6

Observation 2f61aaea-648c-4b97-9c96-1d5c930d7180 · outbound

This paper cites Krasikov, Approximations for the Bessel and Airy functions with an exp licit error term.

Dimension-free Fourier restriction inequalities Krasikov, Approximations for the Bessel and Airy functions with an exp licit error term

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.897760Z

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.

source=pdf_text observed=2026-08-11T22:06:53.500855Z digest=sha256:f5b564ac9fe3ac621f2994b543d9ab1807b6474726e24b64da1bc72d907f8d6e

Observation 3c51bd10-87b4-440c-9c02-3501ac38e869 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.883007Z

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.

source=pdf_text observed=2026-08-11T22:06:53.514315Z digest=sha256:e99e929ed12de2584c97cbeea478bef30239e52f3c41d65d7674d24fbbdd4181

Observation d0bfb92a-266c-4863-82d8-43f43625f163 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.868366Z

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.

source=pdf_text observed=2026-08-11T22:06:53.524407Z digest=sha256:23e56e4348079bc71c572de5e3759e4da6f912c2bc7acc1c7b8bd6a002e1f488

Observation 1bffc845-6976-4c33-be6d-7a8e1b11a44b · outbound

This paper cites Muscalu, W.

Dimension-free Fourier restriction inequalities Muscalu, W

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.852063Z

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.

source=pdf_text observed=2026-08-11T22:06:53.532039Z digest=sha256:4fa181cf504e3d2748719f905c8594b92aa55bab2761ff1d3e795367d7ab7095

Observation d9011b5b-df0f-42e7-8534-41679da7571a · outbound

This paper cites Negro, D.

Dimension-free Fourier restriction inequalities Negro, D

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.837647Z

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.

source=pdf_text observed=2026-08-11T22:06:53.538445Z digest=sha256:b1a3074ec5e81107466de2a8847473909b574e36fccc183ea32783710af58913

Observation f40daab6-a591-4f47-b446-d80419d458f3 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.822182Z

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.

source=pdf_text observed=2026-08-11T22:06:53.545720Z digest=sha256:562635ca800505646858d70c7739d82f7a6da3898485746674c2fcc80da92f2b

Observation ed55f6e9-d9c5-436c-b670-03acdf36c33c · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.806628Z

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.

source=pdf_text observed=2026-08-11T22:06:53.552129Z digest=sha256:ea7860ddf9f0b42e397332c7eac6c53b77658bbb7aff9e82df725baebed85c50

Observation 92426366-67b7-4b4f-abe2-883b7830e27a · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.790632Z

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.

source=pdf_text observed=2026-08-11T22:06:53.556808Z digest=sha256:376c10e02141ddcd72a437f9dc1dedb72d2cd1359515abbad136275b3988b2c5

Observation 27a30a35-3499-453c-b5ce-905c6fee0d07 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.774984Z

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.

source=pdf_text observed=2026-08-11T22:06:53.561950Z digest=sha256:578a939d67142c18cf139fdcc12979534dba6be3445183e70f9ad3d566b88885

Observation e977d9e2-719a-44ed-8812-eb5a5d534d1e · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.757116Z

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.

source=pdf_text observed=2026-08-11T22:06:53.567871Z digest=sha256:b6581722c7ea1d8199ea3c947cd5dc07bbae66d8d679634535bb6660eb9dd388

Observation 154e5be3-212d-43d5-a3f5-bb1ffdbe5354 · outbound

This paper cites an unresolved cited work.

Dimension-free Fourier restriction inequalities Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:06:53.737548Z

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.

source=pdf_text observed=2026-08-11T22:06:53.573427Z digest=sha256:866344fe06755f4ed1e56b16ce80cc3ed59d8413093afa5cbd9dd6de95e47ee5

Observation 849ae19b-797a-4954-a1f5-1a06161a6fc7 · outbound

This paper cites Stempak, A weighted uniform Lp-estimate of Bessel functions: a note on a paper of Guo.

Dimension-free Fourier restriction inequalities Stempak, A weighted uniform Lp-estimate of Bessel functions: a note on a paper of Guo

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.719330Z

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.

source=pdf_text observed=2026-08-11T22:06:53.582226Z digest=sha256:44b552bc1c90604e6c12f92c498fd83ad24618e0526f83ac6932453b076b4ead

Observation c29ff224-3b4c-4096-9a23-1a13b5ce0c51 · outbound

This paper cites Strichartz, Restrictions of Fourier transforms to quadratic surfaces a nd decay of solutions of wave equations.

Dimension-free Fourier restriction inequalities Strichartz, Restrictions of Fourier transforms to quadratic surfaces a nd decay of solutions of wave equations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.701021Z

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.

source=pdf_text observed=2026-08-11T22:06:53.588522Z digest=sha256:b33bdfedcd6c8cf07bb9562115477906df3991c82bb0994e09734458aed376c6

Observation 87a5e33e-7e1b-481d-a81d-394f79c4979d · outbound

This paper cites Tomas, A restriction theorem for the Fourier transform.

Dimension-free Fourier restriction inequalities Tomas, A restriction theorem for the Fourier transform

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.683066Z

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.

source=pdf_text observed=2026-08-11T22:06:53.594553Z digest=sha256:9db4423f2cb351f7c214cab2011bac4cf8449977eb0c90f8baed0c7079025b7f

Observation 4c08d2bc-c83b-417b-a7e1-0f23fafc7001 · outbound

This paper cites Zygmund, On Fourier coefficients and transforms of functions of two var iables.

Dimension-free Fourier restriction inequalities Zygmund, On Fourier coefficients and transforms of functions of two var iables

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:06:53.665552Z

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.

source=pdf_text observed=2026-08-11T22:06:53.600235Z digest=sha256:5633da3e61b06c3c02f32a1ccbb99d48c032df25317f61444dba4cf4cb2b1a3e

Pith citing papers

Observation 9911b18c-5b9e-4107-8b3b-8425c6920887 · inbound

Inequalities in Fourier analysis on binary cubes cites this paper.

Inequalities in Fourier analysis on binary cubes Dimension-free Fourier restriction inequalities

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:05:37.630944Z

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.

source=pdf_text observed=2026-08-06T21:05:35.328215Z digest=sha256:7e69ebfda1fda9dd1a6b74c4c69e26ef24a09b8f4d1619ad1620bf53f367968d