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Paper Citation Record · LEDGER

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.19956.

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

pith.paper-citation-record.v1
2412.19956 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:57:29.699183Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy9
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1805547f-e89a-456d-8149-dd820d47fc58 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:30.064608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.588700Z digest=sha256:27e43369f72eaa6e7d676056c9647541c8a0a516fec2f1fc7ade6b0a0fd8ffde

Observation 1e1ec148-b238-462a-a99d-db11cad013b2 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:30.052646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.593597Z digest=sha256:c2930a6b0c9e087b6a45a10db4586d891323d3e4d610be4cd916abab57f8c95a

Observation b76f6c8f-ccf8-4153-a525-81f4f51db0c8 · outbound

This paper cites Beurling.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Beurling

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:30.040531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.597719Z digest=sha256:03ed158a9a80ef3965b9148bffabbf276068bd897ed120c6b6c34ca7e74801ac

Observation 27d72d46-4c5c-4445-9f8b-0d9ab89cab8e · outbound

This paper cites Brandolini, G.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Brandolini, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:30.028531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.601914Z digest=sha256:58fd91e404b62e5db9278a9a28f4294aa0394a79e905f77b985a99accea7dc8b

Observation 3ab63912-ba45-4f05-aa6b-4d8e9789e19b · outbound

This paper cites Demeter.Fourier restriction, decoupling, and applications, volume 184 ofCambridge Studies in Advanced Mathematics.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Demeter.Fourier restriction, decoupling, and applications, volume 184 ofCambridge Studies in Advanced Mathematics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:30.015725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.606752Z digest=sha256:340dcf7de95e24cac7c866e980d38ace9b6ca335685488d07d249ce19dbc270e

Observation 0fa1798a-4a19-471c-85ab-ae4e4713c0a3 · outbound

This paper cites A measure with small support and p-summable Fourier transform.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve A measure with small support and p-summable Fourier transform

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:57:29.765899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.610767Z digest=sha256:62d8428438bd463b810be7c8517d2ddcfd9d642625be7c4ba9953f3cf5300e6f

Observation 4801a97c-04e5-494e-a489-19c7c324253e · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:30.000745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.615398Z digest=sha256:3fc9d9231022cf139429c1ee290707de01efc2f27433d061646661bbd86c1b35

Observation 5bddd482-3d5e-4127-99c1-9a7b02af3873 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.985674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.619171Z digest=sha256:7f05ffd3ee4d6047f15838f248e8d08d80727a0a3a89304c48f388d71ce7f18c

Observation ac64105b-ed5a-47dc-8cfb-f9b5f57ebea0 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.973652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.622706Z digest=sha256:b4636e6a3ed3efbddf826455f3bf9c49a1f88feacbce9d01b02e4f1c32d1f2b2

Observation 7813d88e-cf4e-4e4b-8939-2e65b8bfa82c · outbound

This paper cites Grafakos.Classical Fourier Analysis.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Grafakos.Classical Fourier Analysis

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.961531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.626703Z digest=sha256:27744888e22a114b586c6d0dfb861534200db032994ae618628292a5494e0879

Observation 21da99ad-ed84-40d5-a355-91f9067175ec · outbound

This paper cites $L^p$ integrability of functions with Fourier support on a smooth space curve.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve $L^p$ integrability of functions with Fourier support on a smooth space curve

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:57:29.748502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.630273Z digest=sha256:79625f5054e03bba79d2880c770f6fd0d9b24c5984b6448711b8b7972d90a2f7

Observation af688c97-38aa-4551-90ed-1aa608029e8f · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.949856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.633915Z digest=sha256:b9c2d6dd0de380af0c5b326942620c910ddc913d9a9f37274399fcc70bcd6001

Observation 40b4118e-3ce7-4083-8bfc-e4a7f9a08618 · outbound

This paper cites Hoeffding.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Hoeffding

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T23:57:29.637723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:57:29.637723Z digest=sha256:65e27a5c61cd6caa0a2ef8e5202f935e5e665d822d438350c2b13cafbbdfe9e0

Observation ea894ca3-ba08-4550-b978-79fec888e5ff · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.931380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.641153Z digest=sha256:84bef667dd77edae5500811fa7c2ccbf14526137b92856e309f54be9d96ad02f

Observation b4146352-1325-4e62-befd-3aad278130b1 · outbound

This paper cites L aba and H.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve L aba and H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.920221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.644286Z digest=sha256:39d608e4f8fe9255dcc86b54f44f2a70c7b9fe8de0b7c252f46c831dcc115638

Observation 5c5da0ca-7ee3-4be7-a1bc-8053a51c41e8 · outbound

This paper cites Lev and A.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Lev and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.908808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.648105Z digest=sha256:a7ecec79b4ecb4430fde3a15db286074910a812901ef2fc5ec8ff797eb5fbfa3

Observation 6af0dd79-78cf-419b-a082-fd0a374ac0c3 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.896063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.652700Z digest=sha256:9090d45e26a26f983e7d945d2051f95104f511f8211c8f03ee679f9be848ad4e

Observation c3c9b8ce-ec08-4652-a5bf-2faad0181018 · outbound

This paper cites Prestini.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Prestini

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.884342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.656370Z digest=sha256:79afe571b7d8478f8af7973c629d67b8ad2b19a958fb19ad5c699fd204a0cfcb

Observation 1fe57ab7-e182-49a1-9775-38f115c8da5c · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.871991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.659920Z digest=sha256:e023a12284c2213d7acdccc36376811bbe74577e32c53b050f1715238e31e52c

Observation 2a9ae88c-f4c0-4b73-b0e1-55f181499df3 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.859366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.663504Z digest=sha256:ca5873cf040467f974bc4a838629d5280ea2c44d073dbe12d9f522dfcf20dde0

Observation 7af902dc-be2c-4caa-801e-0d1e1cfbf71a · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.846563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.671594Z digest=sha256:d9e69b5889ebe80bf73836a5d2973e2c08fe8451248fa202e10c932ceae9f9e0

Observation 78d9af12-da58-4550-8e7b-4d179b17e399 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.835018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.675116Z digest=sha256:1b1efd21720050078b9416598eceef929c9856a47003ce26cc122cbe16203369

Observation 6fb79908-87a8-42ca-a4de-0c8fd25e5fb1 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.822967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.679017Z digest=sha256:772f000c294aafde25826baa9c190f9359dd250d0572294116416c8d47c60d4a

Observation 896eecc7-a59b-4a4f-ba0d-2491022481c7 · outbound

This paper cites Shmerkin and V.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Shmerkin and V

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.810820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.682926Z digest=sha256:699907014387ef0880a5dfa70d242ffbdd4eaea125564f6cc36ad39465003f63

Observation a1c9227d-8871-4a6a-95bc-ffa8fbc51ccc · outbound

This paper cites Shmerkin and V.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Shmerkin and V

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:57:29.798092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.691193Z digest=sha256:abeb15020d2e1bd8f39bb7659db5ffcbb587b73f16871b2948bc8057307c3e1b

Observation b9239db5-dc0d-4fce-af40-17e35350349f · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-10T23:57:29.695298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:57:29.695298Z digest=sha256:e8793e4cef400bcd8a4b0108d52ac4eba867f1f3559f2ca5b98212df9211b8b5

Observation 63cdec71-8df5-4f5a-b790-8da810f351b6 · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:57:29.778618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:57:29.699183Z digest=sha256:98260fed37b92fb35388613158bfbd037cca6707425ebdc269d93c030eda6c64

Observation 0ff130f2-1590-43aa-9295-fabcda05f16f · outbound

This paper cites an unresolved cited work.

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve Unresolved cited work

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-10T23:57:29.667499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:57:29.667499Z digest=sha256:e4fce1663e1eacd9d2ab20f04d35f5fa88528bd686da76a04480051dfb9e426a

Pith citing papers

No inbound Pith citation observations are available.