Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:46:38.592947Z
Paper Citation Record · LEDGER
On polynomial progressions via transference
As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2506.13010.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
46 of 46 outbound references displayed
- verified exact6
- verified fuzzy18
- unresolved21
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 05113c43-f2b9-4fc6-a252-c0893a623687 · outbound
This paper cites A non-flag arithmetic regularity lemma and counting lemma.
On polynomial progressions via transference A non-flag arithmetic regularity lemma and counting lemma
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:46:38.989423Z
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.
Observation 5297fb2d-2000-4f57-83d0-39be064026de · outbound
This paper cites Bergelson and A.
On polynomial progressions via transference Bergelson and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.471235Z
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.
Observation cd37f70f-8dca-4f1d-9c99-373f2f63a747 · outbound
This paper cites Bourgain and M.-C.
On polynomial progressions via transference Bourgain and M.-C
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.457933Z
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.
Observation a7d96fc9-d137-426e-8a25-0681a4208e63 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.445290Z
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.
Observation af5e8b08-3a92-477b-937e-aa81b88e25ce · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.432956Z
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.
Observation d720b18e-a9fc-499e-b18b-5e23d12b08aa · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.420475Z
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.
Observation 2b7e5bfb-dc44-44ea-8970-46719bf2a549 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.407894Z
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.
Observation 38843c62-c293-4b7e-b9b9-4f202184a82c · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.395684Z
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.
Observation bc99b1b7-1d13-4be3-abc8-4c8e2e3f92d8 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.383060Z
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.
Observation 3e7e6e74-295f-4783-a5b2-9124bffeb098 · outbound
This paper cites Second Series161 (2005), 1609–1636.
On polynomial progressions via transference Second Series161 (2005), 1609–1636
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.369552Z
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.
Observation 48e7c48b-98fa-40e1-996b-343d291b6151 · outbound
This paper cites Primes of the form $p^2 + nq^2$.
On polynomial progressions via transference Primes of the form $p^2 + nq^2$
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:46:38.961315Z
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.
Observation 23f864a9-8f43-4a23-b113-a7a9e337edbb · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.356530Z
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.
Observation cfa8d8f0-a71b-4de2-bc29-d82c80654cd1 · outbound
This paper cites Second Series171 (2010), 1753–1850.
On polynomial progressions via transference Second Series171 (2010), 1753–1850
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.344154Z
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.
Observation e47126af-120c-4bcc-bb1c-409c28564a5f · outbound
This paper cites Second Series175 (2012), 465–540.
On polynomial progressions via transference Second Series175 (2012), 465–540
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.331359Z
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.
Observation 9d51a731-e536-41f9-a15b-9834669787ec · outbound
This paper cites 53, American Mathematical Society, Providence, RI, 2004.
On polynomial progressions via transference 53, American Mathematical Society, Providence, RI, 2004
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.318791Z
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.
Observation 2f36f3eb-e3f3-403a-8aa7-d7e97854edd3 · outbound
This paper cites Strong Bounds for 3-Progressions.
On polynomial progressions via transference Strong Bounds for 3-Progressions
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.478452Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc75e9a4-4ac9-4ccc-b489-8b3f98eb1c79 · outbound
This paper cites Corners with polynomial side length.
On polynomial progressions via transference Corners with polynomial side length
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.482554Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42d5584d-7903-4725-9a78-952a3cfc80ea · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 18
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T00:46:38.908006Z
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.
Observation 17be63a5-0e3e-4798-80ed-a2f24748e9eb · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.305313Z
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.
Observation 47c909e9-8293-4499-a50a-bf1a514d23d1 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.292413Z
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.
Observation 2c319f7a-4dd6-437e-bbc1-5bd0a50f8f84 · outbound
This paper cites Lazard,Sur les groupes nilpotents et les anneaux de Lie, Annales Scientifiques de l’École Normale Supérieure.
On polynomial progressions via transference Lazard,Sur les groupes nilpotents et les anneaux de Lie, Annales Scientifiques de l’École Normale Supérieure
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.279182Z
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.
Observation e246fd4f-0efc-4ae7-84ff-e7ff631fca29 · outbound
This paper cites Leibman,Polynomial sequences in groups, Journal of Algebra201 (1998), 189–206.
On polynomial progressions via transference Leibman,Polynomial sequences in groups, Journal of Algebra201 (1998), 189–206
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.266075Z
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.
Observation ee432ea6-7991-4670-ae97-c6cc0af301f0 · outbound
This paper cites Leibman,Polynomial mappings of groups, Israel Journal of Mathematics129 (2002), 29–60.
On polynomial progressions via transference Leibman,Polynomial mappings of groups, Israel Journal of Mathematics129 (2002), 29–60
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.253053Z
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.
Observation 5413c077-cb40-4b9d-8cc5-7f7ec79fb731 · outbound
This paper cites Efficient Equidistribution of Nilsequences.
On polynomial progressions via transference Efficient Equidistribution of Nilsequences
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:46:38.749406Z
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.
Observation 059a7997-9bef-4f20-8a22-ec08d8acfd6d · outbound
This paper cites Efficient equidistribution of periodic nilsequences and applications.
On polynomial progressions via transference Efficient equidistribution of periodic nilsequences and applications
Reference 25
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T00:46:38.729206Z
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.
Observation 122004ce-c3af-474a-b7f2-9a9544a247b1 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.238566Z
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.
Observation b2a6ac12-e71d-4954-858b-bdf64641b30c · outbound
This paper cites Improved Bounds for Szemer\'{e}di's Theorem.
On polynomial progressions via transference Improved Bounds for Szemer\'{e}di's Theorem
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.523059Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eeadedde-9d46-49ba-897b-82de36af6c5a · outbound
This paper cites Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm.
On polynomial progressions via transference Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.526866Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14ab0c8c-d32d-4c18-8f07-dbb3d551789f · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.225358Z
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.
Observation e209cf59-4096-4e0b-95d1-bb6a489d0362 · outbound
This paper cites Lucier,Intersective sets given by a polynomial, Acta Arithmetica123 (2006), 57–95.
On polynomial progressions via transference Lucier,Intersective sets given by a polynomial, Acta Arithmetica123 (2006), 57–95
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.212313Z
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.
Observation 7fc79816-353d-4640-89bd-2a6fb3b3eaaf · outbound
This paper cites Periodic nilsequences and inverse theorems on cyclic groups.
On polynomial progressions via transference Periodic nilsequences and inverse theorems on cyclic groups
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.538039Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 134642c0-cebe-4c7b-9b04-88cdab5391ee · outbound
This paper cites True complexity and iterated Cauchy--Schwarz.
On polynomial progressions via transference True complexity and iterated Cauchy--Schwarz
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:46:38.668024Z
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.
Observation 5a8dcfaf-5fab-48eb-9a19-3ce13d557316 · outbound
This paper cites Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups.
On polynomial progressions via transference Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:46:38.545621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9e480a7-621f-4d78-8c30-d89512603985 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.198784Z
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.
Observation 7502f0d4-9b1f-43e9-b39d-0e96787acddc · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.185750Z
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.
Observation 0a9215a8-efb4-4ef2-a488-f6ba0391657e · outbound
This paper cites Pi8 (2020), e16, 55.
On polynomial progressions via transference Pi8 (2020), e16, 55
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.172008Z
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.
Observation 9c074696-913a-44c3-80cf-8484f2afaa71 · outbound
This paper cites IMRN (2022), 5658–5684.
On polynomial progressions via transference IMRN (2022), 5658–5684
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.157757Z
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.
Observation d66c6849-3b78-4f7f-a416-dd6c9225469b · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.142871Z
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.
Observation a2b6d25d-1f2a-4856-b377-9dae2e30f890 · outbound
This paper cites Effective bounds for Roth's theorem with shifted square common difference.
On polynomial progressions via transference Effective bounds for Roth's theorem with shifted square common difference
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:46:38.633348Z
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.
Observation dabe8583-5f0f-4a11-9442-14f8c1e9f890 · outbound
This paper cites an unresolved cited work.
On polynomial progressions via transference Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:46:39.127437Z
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.
Observation 0d7caa6c-5e45-43a3-9f3c-fd382c94962a · outbound
This paper cites II,AnnalesUniversitatisScientiarumBudapestinensis de Rolando Eötvös Nominatae.
On polynomial progressions via transference II,AnnalesUniversitatisScientiarumBudapestinensis de Rolando Eötvös Nominatae
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.113040Z
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.
Observation d2b44140-8503-4063-af47-881ef6563862 · outbound
This paper cites Szemerédi,On sets of integers containing no four elements in arithmetic progression, Number Theory (Colloq., János Bolyai Math.
On polynomial progressions via transference Szemerédi,On sets of integers containing no four elements in arithmetic progression, Number Theory (Colloq., János Bolyai Math
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.098480Z
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.
Observation 9c556f40-f113-44b0-9348-5ed613600089 · outbound
This paper cites Szemerédi, On sets of integers containing nok elements in arithmetic progression, Polska Akademia Nauk.
On polynomial progressions via transference Szemerédi, On sets of integers containing nok elements in arithmetic progression, Polska Akademia Nauk
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.082689Z
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.
Observation e78019d0-d351-4a65-80a9-563eb4d24792 · outbound
This paper cites 142, American Mathematical Society, Providence, RI, 2012.
On polynomial progressions via transference 142, American Mathematical Society, Providence, RI, 2012
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.066300Z
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.
Observation 1ef96978-7bff-4de5-b6cf-6c884061d47f · outbound
This paper cites 21, 22, 27.
On polynomial progressions via transference 21, 22, 27
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.047241Z
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.
Observation 3ab8c035-62a5-47f3-a468-013e05bdef85 · outbound
This paper cites Wooley and Tamar D.
On polynomial progressions via transference Wooley and Tamar D
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:46:39.013289Z
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.
Pith citing papers
No inbound Pith citation observations are available.