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=sha256:8ea63067d601974ef09a4cd6cf0301e533f9816b570fda717e054cdf215d8893

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:d9b7a14245831b1e973d4a57a2f1e5eafa3c14b02d412ab0c62b400b682017a8

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=sha256:97198ccebbd96f6af2c1718d5249fce23ed2820150ed26d7bca15b447234ac90

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:aaf73bc426cfb64f586193c1c7b7f740b9048b03d6d8d1dfcfa1a3a30c5f3ca6

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=sha256:85bff695b34c52bab31f61376b819124d7637d8362c7b3827dcb9c527791a1f2

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=sha256:3c145d2c1003a327ecd1a4f68fd43a321f993e7a3fead53e6b000d0c027e7fbd

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=sha256:3a31222e0c1eefe27243595ebfe5c2f653c0339929a2e30a29e304a8505d8175

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=sha256:7fd170a2706baf6a87b7ae93e5f8fc87b58216536a9e6f6f95261a201c218fc7

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=sha256:9b06f11ecb59ab136d7c56189bbf832d962e9fe721d36953f0419dbf45f291bf

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:e93c804ecc56599948acd366013fbc3d0a802f63a1a2e69df83c4ed4ac9cc711

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=sha256:6469faf2b79899cb0cee43a7ec91b9b1364b5301a72aaa8e75e390a25bb35f20

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=sha256:65963fd434e2278a78e8974d8d050d1c628a3cfce5d752d19d790ce1aad0eb56

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=sha256:3f1181e71b6f8bea5ebe670a2c17ed5ef66746250f3429fa83673df002d35b03

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=sha256:50fc2d9086419e5c7c00d99fe70e133d68aafbd2940e9e2eedc8a55c24b5220a

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=sha256:411d4220fe0c9783f5e3008a929d1f8fbcd0311be021b4cc2bab2f258b078fe2

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=sha256:9975519d7fc07bedf131aaaa9b291e05950414afc0bff3cb57eafe52096170f8

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=sha256:8a35785d5a1a817dc50c7cca9ca39a14e859e43a851b7c12e8e4b0da8cf7c2f9

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:f0da103e339213ec25d680ac445438ea102f36172231a6b2bd527a49531540ed

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=sha256:4de48ca7fc5122410530fca87867efa315ce4431819129bddc6d3861582f7435

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=sha256:52d424b827fdd0339cdd58f085ea960f44aef08566940239804f7fefb9b04b65

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=sha256:5792cb318b15a976725d72076f750f8558ff0e4e79bcf6a4aea06db495a148a1

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=sha256:402a538054d814aba2ad6aa240353fd827cb1e357b482cf0e91ae73c0151a0e4

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=sha256:79e3bc514b524ba83d8ce104e3f8b6f3f12484a124489999ef6e0fb948de3b7c

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=sha256:6f8c6fbecbc7fbc9710884247cd623a94d585738dcc9f31f7f8398a21636ccee

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=sha256:0973d3d2c8d925237c31e8c06b844baedd6b4f8592a266bb63142c3e1c114f99

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=sha256:7578dc5389a883a511e16f2e0d6614070408549b6d8922822e5c020e733c6cfc

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=sha256:9c7e4a3fa0d99c72187e6ba078ac494928c484ff56507150f26f6a659d59da91

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:c63c69fa4591d40b1af8001067a4956b101ab053bf86a0cfdf45c8bb772a229b

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=sha256:51cfe0f695c70aa1850c0bcaeeeddecebfa3021bdf2eb026fb888bc034a1f82d

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:f830fe5cf61bf23fe228656ab9e7dd0441ba6c23a5e131d19f3e146876803f18

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=sha256:860d6f19179680e6c8613673c5a6627e08ba9555b9f4216b8e0ea9ad4df0f2c3

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=sha256:3aa30db24c4d19f55cfdd492da370fdbfcc5bccc6c8ce8edeec7cd5ef58b436a

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=sha256:790bd65ca491a8972243913d080d72eb1d062c23142a105ba84b0b611cdf6028