Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T18:31:32.654363Z
Paper Citation Record · LEDGER
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality
As of 14 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2605.16216.
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 2026-08-14T06:32:32.682623+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
25 of 25 outbound references displayed
- verified exact3
- verified fuzzy18
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7002b447-4995-4bee-96c5-6571a401d442 · outbound
This paper cites Arala,A maximal extension of the Bloom–Maynard bound for sets without square differences, Funct.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Arala,A maximal extension of the Bloom–Maynard bound for sets without square differences, Funct
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.546942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7db8d649-7727-41cd-a3ab-e76acc2ff206 · outbound
This paper cites Balog, J.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Balog, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.525698Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc3e6ee4-2cc6-4591-9851-3d914c103335 · outbound
This paper cites an unresolved cited work.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.532265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0205d473-acc4-4e2e-af4e-055d21efb337 · outbound
This paper cites Davenport,Analytic methods for diophantine equations and diophantine inequalities, 2nd ed., Cam- bridge Mathematical Library, Cambridge University Press.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Davenport,Analytic methods for diophantine equations and diophantine inequalities, 2nd ed., Cam- bridge Mathematical Library, Cambridge University Press
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.543328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f35e6b77-0a18-42e6-a151-c7207d8b429f · outbound
This paper cites Doyle, J.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Doyle, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.545084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4fe49f2b-73c9-40c5-bf59-e42d25a948cc · outbound
This paper cites 64, 33 pp.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality 64, 33 pp
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.556832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4599ddba-2793-4ad9-84a1-1b980f031691 · outbound
This paper cites Erd´ elyi, A.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Erd´ elyi, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.534012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b754f817-3a88-4916-9127-1ea1d65f3362 · outbound
This paper cites Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemer´ edi on arithmetic progressions, J.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemer´ edi on arithmetic progressions, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.530364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a0877404-4d70-4df5-a5c2-28521cc50069 · outbound
This paper cites New bounds for the Furstenberg-S\'ark\"ozy theorem.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T18:32:43.094415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f85edcdc-beab-4dc8-a6fa-5ed284caa9b3 · outbound
This paper cites Hamel, N.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Hamel, N
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.539281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fa55b301-14e3-4463-99ba-bfbe81323fd7 · outbound
This paper cites Kamae and M.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Kamae and M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.535704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6ee345ac-882a-4618-9a87-d43f2f742b63 · outbound
This paper cites Keevash, N.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Keevash, N
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.548633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 63c39b74-8e44-4446-bc0a-59f251ea022d · outbound
This paper cites Keller, N.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Keller, N
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T18:32:43.091167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ee9f4d72-cfce-442b-8ab9-e19858c54d99 · outbound
This paper cites an unresolved cited work.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.537412Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 35ce14a9-ce0f-4e0c-886b-9001c0485d8d · outbound
This paper cites Lewko,An improved lower bound related to the Furstenberg–S´ ark¨ ozy theorem, Electron.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Lewko,An improved lower bound related to the Furstenberg–S´ ark¨ ozy theorem, Electron
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.550573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7cff139b-e0d9-47f6-bf94-2c925c81cbf2 · outbound
This paper cites Lucier,Intersective sets given by a polynomial, Acta Arith.123(2006), 57–95.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Lucier,Intersective sets given by a polynomial, Acta Arith.123(2006), 57–95
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.554570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6b877abf-5d17-4e5f-9a7a-b5f0833ac190 · outbound
This paper cites Hungar.120(2008), 79–102.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Hungar.120(2008), 79–102
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.517894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0f0252a9-2442-4215-8536-78c7298face2 · outbound
This paper cites Pintz, W.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Pintz, W
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.515937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 74510408-90e4-4653-80d8-b17e63e9ab93 · outbound
This paper cites Rice,Improvements and extensions of two theorems of S´ ark¨ ozy, Ph.D.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Rice,Improvements and extensions of two theorems of S´ ark¨ ozy, Ph.D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.541171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4cb30191-606d-4c33-8970-0ff71c3dd001 · outbound
This paper cites 187(2019), 1–41.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality 187(2019), 1–41
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.552542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9c8188de-a845-4133-bd6e-a6038f57ab52 · outbound
This paper cites an unresolved cited work.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.514164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d7b6cbcf-efcb-4b6e-b20e-fbd29eaa5e96 · outbound
This paper cites S´ ark¨ ozy,On difference sets of sequences of integers.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality S´ ark¨ ozy,On difference sets of sequences of integers
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.509707Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0d530cc5-3fb3-4e1a-a907-e5a2aeddabc9 · outbound
This paper cites an unresolved cited work.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.559069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3dbd18f4-3599-435b-ae13-3de016b6ca69 · outbound
This paper cites Wessel,An algebraic interpretation of the polynomial Szemer´ edi theorem, 2020, Bachelor Thesis.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Wessel,An algebraic interpretation of the polynomial Szemer´ edi theorem, 2020, Bachelor Thesis
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.512175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e399e75e-d68c-4e19-ab37-7bbabf17660b · outbound
This paper cites Lower bounds in the polynomial Szemer\'edi theorem.
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality Lower bounds in the polynomial Szemer\'edi theorem
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T18:32:43.097704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.