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Paper Citation Record · LEDGER

On Fourier coefficients of sets with small doubling

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.490985Z digest=sha256:078b78f8b5c4c3575c6768ecfdcbd831ead3a75987a9f0b4855b069086db37d4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.495052Z digest=sha256:a72174987ce5f98e6bd99b4991b5bb7c77872eab2869d3addf85940d60105478

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.498373Z digest=sha256:b121464eb087dbd17bf597c67907e9b11a880f13321e5a5726a697957b61f3e3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.502551Z digest=sha256:f21bc683e1b1b604692854bb6c5470e02be8c7391acc4e91dc5697295c5af83a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.506421Z digest=sha256:e0349be374d630e7782f85b7854bf80f6babd3c2cc1092e55512ac271dd39edb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.510023Z digest=sha256:4a801a63b24db5b4023ce6b376ea1c11fa5463ee915a7fdd97d6a420d2ce8dfc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.513608Z digest=sha256:68e37c5c20e40231a8ce89836d7b5bde2bc6259a7d3a36defe5be1daba2737ca

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:e8edb4b5ac264ab85e513fa569a8f85d6593dbfbc484bac6299cee8967a7f5ac

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:b90e03e3dbf35ef07df2b1dfe2ce6db66be1a2179ab365429d9da0428f838e45

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.524840Z digest=sha256:9fbb7d54b505403db0a4c6baa349b1fbaf4421c737b5be569f11ccf4b2815f0b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.528758Z digest=sha256:137ebea75180b274ddb0d73e4bb2c1d59040a94276cf5aab45bb2b25fe1dc92e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.532765Z digest=sha256:0650ec9867662999ea281fa11c56ff1a23704ec62bd996dc1a5c1aa669efc69d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.536751Z digest=sha256:2e9625566280c6a88b938cbfb9b741e0e79deaf5c0579aa5d3bcc3e05a22339a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.540396Z digest=sha256:94f851f86d8d26565dc8c3f74a72885ffb9de10a3a24e878ffbed101b3d66673

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.544078Z digest=sha256:7e988a7df5e9d49a717fe50760f9f456e247d51a240d18a839785213688b56d8

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=sha256:8ee4a6ef7d6318c1e9e78d5dfcec631ffa2aa243eae8668e994c6361d3e375e1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.551753Z digest=sha256:4932f297b2812f5dfd58908713f4b36a56b7aede6bd1cb3f10f8c0684f20490c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.555996Z digest=sha256:db9b795e6401bca67f2eb5d9c97ab0f1f8b19c4c79b11b4cdd6824ce80ab4eec

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.559837Z digest=sha256:be99c7b5a182b5255762100cef24a89ebabf4dca0d57b2f3391e0fee0906520a

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.566303Z digest=sha256:76e46bfa5e7d7ef5740cd3efa0fe005689564ac895a74ba45ccfc78e09a33a19

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.576114Z digest=sha256:623940726540693e46ec49fb5cbcc132bca8c5f5c6d7cca821c88a387b656059

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.579132Z digest=sha256:4e008499848c1894ae202c953fea7d5685197149451d5432706d86cb6f94a9e9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.582309Z digest=sha256:9113aed3149e5fb01356c1e6e93669514e605ca19bec7465d55e6eec63dfe14c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.585906Z digest=sha256:bf8364c18eb05abb57ac9deb02e8e0a8d738c164dae95c393cec91cdd20412d3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:09:07.589569Z digest=sha256:c80005d533d45b4d74f3cb05cae3a4d6f82777a5ec2cd0a03f769297b763cf86

Pith citing papers

No inbound Pith citation observations are available.