Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:16:47.814786Z
Paper Citation Record · LEDGER
New bounds for the Furstenberg-S\'ark\"ozy theorem
As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 5 inbound Pith citation observations for arXiv:2411.17448.
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, observed 2026-08-12T12:16:47.733610Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T02:54:10.777945Z
Reference resolution
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6603ac1f-a1c3-42ef-babd-c0099bbf99ab · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.341764Z
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 875167cd-22a5-4b7b-ad1c-59ff0dfd15c0 · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.321085Z
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 812ecc75-9773-47f2-8686-8baecc36229f · outbound
This paper cites Bloom and James Maynard, A new upper bound for sets with no square differences , Compos.
New bounds for the Furstenberg-S\'ark\"ozy theorem Bloom and James Maynard, A new upper bound for sets with no square differences , Compos
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.302181Z
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 608d9684-7061-4694-9673-7078807330b2 · outbound
This paper cites Friedlander, and Henryk Iwanie c, Primes in arithmetic progressions to large moduli.
New bounds for the Furstenberg-S\'ark\"ozy theorem Friedlander, and Henryk Iwanie c, Primes in arithmetic progressions to large moduli
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.283717Z
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 a228c712-029a-4e61-b1ea-7f33bb6864d1 · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.263163Z
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 553440f5-ccef-41b9-8bb3-717adc5ce89d · outbound
This paper cites Analyse Math.
New bounds for the Furstenberg-S\'ark\"ozy theorem Analyse Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.245771Z
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 df69e4ca-367f-45b8-b0da-be2b3cc6e319 · outbound
This paper cites New bounds for the Furstenberg-S\'ark\"ozy theorem.
New bounds for the Furstenberg-S\'ark\"ozy theorem New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T12:16:47.733610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ba9a1df-fba2-447e-9378-67c1024bbf82 · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.228541Z
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 c1c1c234-b894-496e-8e76-038675b3b999 · outbound
This paper cites 53, American Mathematical Society, Pro vidence, RI, 2004.
New bounds for the Furstenberg-S\'ark\"ozy theorem 53, American Mathematical Society, Pro vidence, RI, 2004
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.211080Z
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 b99c1b4a-3f68-41ea-b25e-9f993ad3a425 · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.194208Z
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 9e6a9a81-5512-400d-9cfb-8ea6ccd6983f · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.173815Z
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 1131c3de-8b4b-4a3a-9b63-b0b31a5c7fc5 · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.155802Z
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 2bbd8316-595d-4960-902e-a2abcc62a11d · outbound
This paper cites 3, 4, 5, 6, 9, 33, 34.
New bounds for the Furstenberg-S\'ark\"ozy theorem 3, 4, 5, 6, 9, 33, 34
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T12:16:47.767606Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04a68ac3-a8df-489d-8891-e9840d86fa4b · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.139358Z
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 23cf0cc2-49d1-4485-81db-c9de5acb37bf · outbound
This paper cites an unresolved cited work.
New bounds for the Furstenberg-S\'ark\"ozy theorem Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:16:48.122004Z
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 29061971-a9b5-42b0-858e-f315959a1b45 · outbound
This paper cites London Math.
New bounds for the Furstenberg-S\'ark\"ozy theorem London Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.101535Z
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 20d48861-28d8-4af8-b50e-f67fddf0116f · outbound
This paper cites 187 (2019), 1–41.
New bounds for the Furstenberg-S\'ark\"ozy theorem 187 (2019), 1–41
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.082278Z
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 c93b6f7f-a2ac-4653-875f-ac3feffbf44e · outbound
This paper cites Ruzsa, Difference sets without squares , Period.
New bounds for the Furstenberg-S\'ark\"ozy theorem Ruzsa, Difference sets without squares , Period
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.061908Z
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 dbfe8d72-0dd7-44cf-8902-9a44409a4ccf · outbound
This paper cites I , Acta Math.
New bounds for the Furstenberg-S\'ark\"ozy theorem I , Acta Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.044787Z
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 11019888-38a4-4734-9837-897cc02cdaa5 · outbound
This paper cites II , Ann.
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.028392Z
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 27b44227-8405-4c7c-9d54-432920794d3f · outbound
This paper cites Wooley, On Diophantine inequalities: Freeman ’s asymptotic formul ae, Proceedings of the Session in Analytic Number Theory and Diophantine Equations, Bonner M ath.
New bounds for the Furstenberg-S\'ark\"ozy theorem Wooley, On Diophantine inequalities: Freeman ’s asymptotic formul ae, Proceedings of the Session in Analytic Number Theory and Diophantine Equations, Bonner M ath
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:16:48.008702Z
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
Observation df69e4ca-367f-45b8-b0da-be2b3cc6e319 · inbound
New bounds for the Furstenberg-S\'ark\"ozy theorem cites this paper.
New bounds for the Furstenberg-S\'ark\"ozy theorem New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T12:16:47.733610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd703e36-581d-4bfa-8966-9ba6d0e86cf3 · inbound
Mathematical exploration and discovery at scale cites this paper.
Mathematical exploration and discovery at scale New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 154
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T01:20:34.520744Z
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 · inbound
Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality cites this paper.
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 e1d780c8-64ff-4e43-b056-8d7d5b6664af · inbound
Toward a KKL Theorem for any HDX cites this paper.
Toward a KKL Theorem for any HDX New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T02:54:10.779783Z
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 0eb1878c-ef47-4aac-8c23-559de8cc6849 · inbound
The sharp exponent for the minimal distance problem cites this paper.
The sharp exponent for the minimal distance problem New bounds for the Furstenberg-S\'ark\"ozy theorem
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T09:59:49.369868Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.