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Paper Citation Record · LEDGER

On Fourier coefficients of sets with small doubling

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.11368.

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

pith.paper-citation-record.v1
2412.11368 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:09:07.589569Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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 exact4
  • verified fuzzy8
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e02d366c-433a-4b26-af4e-20ece0016dc0 · outbound

This paper cites Andersson.

On Fourier coefficients of sets with small doubling Andersson

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.959522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.490985Z digest=sha256:c9e0e653e6fc2e89d084df1e2280b0448b76a8e424e65ce58778c947de753e86

Observation c9bfed7b-eb3f-4f3f-8146-8e142fa72c40 · outbound

This paper cites Bateman and N.

On Fourier coefficients of sets with small doubling Bateman and N

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.947692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.495052Z digest=sha256:0b5abae814b1eafaa5257de9d40f4ec3df76601f63685ce6f74caed0dd01b44e

Observation b3e54752-b5e8-4cf9-96d5-6dcc380291ed · outbound

This paper cites The Kelley--Meka bounds for sets free of three-term arithmetic progressions.

On Fourier coefficients of sets with small doubling The Kelley--Meka bounds for sets free of three-term arithmetic progressions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:09:07.714690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.498373Z digest=sha256:80df7cba744d2833a461ad99de0cff7568c70b0b8c589792a2f124759414fcc6

Observation b3c21996-b72f-4526-8832-5b2450f2e119 · outbound

This paper cites Bourgain.

On Fourier coefficients of sets with small doubling Bourgain

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.935669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.502551Z digest=sha256:c9bdd613f846592b5581249a8c6e00118874f62f140e9cbe0491557c5db2c1f9

Observation 43efbef5-bad8-4ae7-ba91-256b5c9a670c · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.924855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.506421Z digest=sha256:8a9b3b4165884410fb1de60d64c3466107e5e62c4c8d8b26b8beeb361afb59b1

Observation e295735f-db7d-4654-945d-2f609a9d8013 · outbound

This paper cites Croot and O.

On Fourier coefficients of sets with small doubling Croot and O

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.911997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.510023Z digest=sha256:b480e28b595c74c67f845da00ab1fa9c8b36bfab4ac6fc6401679eef6fddc145

Observation fd7f064f-aa4c-455f-94b1-14cbcd9e3290 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.900380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.513608Z digest=sha256:43f5accd4a4170cb054b5f9515141c558b913598f5a797b2ffb84220b71cedf6

Observation 2d433929-488f-42d2-9dbb-0866fcf25e30 · outbound

This paper cites On a conjecture of Marton.

On Fourier coefficients of sets with small doubling On a conjecture of Marton

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T15:09:07.517027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:09:07.517027Z digest=sha256:e9c1b4c2705b4b1f0393871d8824ccf1e0e40a3ed35c37025d830ae42c0392bb

Observation 94652557-7a66-4d8a-b025-dcaf079de397 · outbound

This paper cites Marton's Conjecture in abelian groups with bounded torsion.

On Fourier coefficients of sets with small doubling Marton's Conjecture in abelian groups with bounded torsion

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T15:09:07.520866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:09:07.520866Z digest=sha256:0a36a00f73c8c39c8f30ddb1f8d5c9298255f75c8ec526c0d2c05f186405d5a1

Observation 4af3a0c5-bd46-46e6-88ac-16c81a36893a · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.888994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.524840Z digest=sha256:376f818fd6798dfe5ee7abf9afbefac053ecb0d55cf4483d371aa07dbb37d8b8

Observation 96146d33-c5ea-4c8b-9784-1ab14de387e7 · outbound

This paper cites Green and I.

On Fourier coefficients of sets with small doubling Green and I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.876321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.528758Z digest=sha256:d293cfc9a0f70e44fba577548c0ea9f2721d1aa5ea468172c7ea0c13b44314a4

Observation 5e7e0f02-48d7-4554-8b63-6ebc2abf87c6 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.864776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.532765Z digest=sha256:60f7a7466ca2349a8a98e1f724ba6104d8ef8072d1775540e0365837d92eae3e

Observation 6f8e5382-6785-4b6a-905a-fe7f14f198ec · outbound

This paper cites Iwaniec and E.

On Fourier coefficients of sets with small doubling Iwaniec and E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.853017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.536751Z digest=sha256:37fedef571861d29c61b0dc6fa44d95b7ffb248c3aecad700c9d2864a8bf9057

Observation 00a57d89-3dc3-4d41-89bf-d13c55fe0dd3 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.841911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.540396Z digest=sha256:32157cf7e31527c71c946ee9941da57a0d71bb249e85a70a013613e33ece637d

Observation 8ce75634-9049-4822-8958-451c6c0219b1 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.831231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.544078Z digest=sha256:3c9bb212ed840a6820305b043abeb0e74f3683398fc66fe2bebbc3e7bef695e8

Observation 99584098-ec09-4676-889e-ee0590da8846 · outbound

This paper cites Strong Bounds for 3-Progressions.

On Fourier coefficients of sets with small doubling Strong Bounds for 3-Progressions

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T15:09:07.547832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:09:07.547832Z digest=sha256:a45be4153a37829e13cd0ac3a8f2f2794b072986042d525af3f1a8a8124bf768

Observation 51b3d135-5b31-447a-b102-7523622e6207 · outbound

This paper cites Towards $3n-4$ in groups of prime order.

On Fourier coefficients of sets with small doubling Towards $3n-4$ in groups of prime order

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:09:07.661966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.551753Z digest=sha256:22e2d3f3e0568dd395b89abda0e8298a83cf17cfb4077a4f6a03a4a83d39d9c4

Observation 78117453-ffca-424a-b8c4-da181a0f9178 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.820020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.555996Z digest=sha256:33778097c7ec41fc4a85d01d5a619b24431295c409fea286c80c8e3a0f29e6da

Observation 9579c638-8384-48e0-8486-1dd1fbc89650 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.808668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.559837Z digest=sha256:a284d32837a2b48a9c3bbb9f34d37b5f1ec8380514844cf9ab5258edc7f1da74

Observation 95696e32-b666-41bd-a5e6-a3f5aa3d43b6 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.796796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7cc2fd56-f1a2-420b-a3cd-a76b170870b9 · outbound

This paper cites On certain other sets of integers.

On Fourier coefficients of sets with small doubling On certain other sets of integers

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:09:07.645408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 538e1548-3f2f-4e91-b543-7c6577a85516 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.784103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ce106895-2c9c-43f9-b479-388a338ccc0a · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.771946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c950ed44-89b2-4f31-901e-eab756adc177 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.759815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.576114Z digest=sha256:e12b682a6470562def4ac9e8c525d86a481e5d9cb6bd0cdd9a09be2ab766ecd8

Observation 8e8cfee5-4661-435f-87b7-9be216ba000d · outbound

This paper cites Schoen and I.

On Fourier coefficients of sets with small doubling Schoen and I

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.748153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.579132Z digest=sha256:bb27e5f09d3aa7a045bf70797dae687a323e5d5b391c841855a2ed90525a42e5

Observation 8c9f07e1-7ac2-40e8-91ea-350e9ef59561 · outbound

This paper cites an unresolved cited work.

On Fourier coefficients of sets with small doubling Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:09:07.737227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.582309Z digest=sha256:9135440d6ea4200a8f8a761ca1ff1ef393565fb8a0afbc67cd80718b013b2c2a

Observation 6dea77db-2814-4316-93fc-5ac355f00acb · outbound

This paper cites Uncertainty for convolutions of sets.

On Fourier coefficients of sets with small doubling Uncertainty for convolutions of sets

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-11T15:09:07.626333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.585906Z digest=sha256:73d86caffbae1f1eede8546902fae2c7c01e6dfa553a5ab19d60d756a21f7ec0

Observation 4bad1d15-6990-4cb9-a96c-8c98ccc66c23 · outbound

This paper cites Tao and V.

On Fourier coefficients of sets with small doubling Tao and V

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:09:07.725903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:09:07.589569Z digest=sha256:50e143f66a3c275224e8127d925cf39e18727034125c091892cbd2d6d44bec04

Pith citing papers

No inbound Pith citation observations are available.