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Paper Citation Record · LEDGER

On Fourier coefficients of sets with small doubling

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.490985Z digest=sha256:f0ae4d4c5f6ec7770cc8dd403e738c6ffad234c464d1324a41cc785dc25f9739

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.495052Z digest=sha256:0b4ed5050be900a7795451ea52214b54d8e8cf768c2ca5a5fd3d6c8053f3e7d6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.498373Z digest=sha256:015c1de34ebe0ff191b35c8340429a983deeb06b90a909d00eeb2561a177e5a0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.502551Z digest=sha256:e8ae03eee1f573d8f45b7d28fd92f0d463d97d7ac55baa30acc2e47b2e97c3fe

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.506421Z digest=sha256:7ba7874053f957abf50d980ab239a4c5ee3863106dba2213b0e310bbe0bc2ec6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.510023Z digest=sha256:11b4a7d8f96ae6ef73a3dd3e2ecb2eb03cc91cef3f3b55834fa2d7bdc962b54b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.513608Z digest=sha256:c1829177307767f718357cae2c11f978a0dd1022ae511958ee090c2f019e8ae3

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=sha256:463c0e8a86837f2a97681eef3aca57cd812dd1748767305393097e149a77f22f

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:e077cf2c1be87a486d89b7d61dc3626bcdc6c9839e22bca819b34d716b4ed859

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.524840Z digest=sha256:aab8f2e8c1d297abf74fa68705e64f67cbd53a3362758f7bf2777467e0de34e4

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.528758Z digest=sha256:4872f0b411fd7a19a3cddfc0955fe26db6e112e7ff4d69d0af5ec81d6de423e7

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.536751Z digest=sha256:4f130bbee8f365315008b263912a2a5cc6ee60179fcbd1ab74137b49b6cc9fdb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.540396Z digest=sha256:0e62fe0c7f964544317b35fdd4603e6892006d8519a6686b309ba6b83ded1139

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.544078Z digest=sha256:c411e0fde8069f4f758619ddba7d4f1cf69f0d87114f7849fd138d7cc24e9733

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=sha256:7a5eb9366d8e23ff28b7ff79d3f417dfe719d3b244971274fe23f93ac6515037

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.551753Z digest=sha256:65e95ffa29bb2356ad4db9f59d3046fc6a0cb59d36e1a319f37d91e04fd1c045

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.555996Z digest=sha256:09f0a8cd93334d6bba7c87dfaa97a01e87655a5be74406b92738d56d08174480

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.559837Z digest=sha256:45394195a6bdf871448241775045ea4b10fc9ef33f4e0c8905697c7ba8924f5e

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.582309Z digest=sha256:6d91d480ac20cf1d51c792e2dc5d6eba9244278cb6b421cc4f27ebf30ec51c90

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.585906Z digest=sha256:bc277403407bda9293d73e90c8e52a465698d729a4ef0783b8857f59194f7590

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T15:09:07.589569Z digest=sha256:23582993619da80e6e22d226c70b341da75613125a0a56f3a233c9ccd0ffe649

Pith citing papers

No inbound Pith citation observations are available.