Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:31:11.599209Z
Paper Citation Record · LEDGER
On multiplicative recurrence along linear patterns
As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2412.03504.
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 2026-08-12T12:11:42.085795Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T12:11:42.818180Z
Reference resolution
32 of 32 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0be0395a-4737-4028-965d-e98b375b2647 · outbound
This paper cites Bergelson.
On multiplicative recurrence along linear patterns Bergelson
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.549801Z
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 77c00b47-9953-4e1e-ac97-7e8b3d5e9bad · outbound
This paper cites Bergelson.
On multiplicative recurrence along linear patterns Bergelson
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.484814Z
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 2ac0b4ef-7ad4-47e1-a79b-be6d5ef59ad4 · outbound
This paper cites Bergelson.
On multiplicative recurrence along linear patterns Bergelson
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.405484Z
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 e727eda3-18c6-4799-a93d-a23adb77c2b0 · outbound
This paper cites Bergelson and A.
On multiplicative recurrence along linear patterns Bergelson and A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.376250Z
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 4236da0f-aec7-439d-8833-dede12825407 · outbound
This paper cites Bergelson and E.
On multiplicative recurrence along linear patterns Bergelson and E
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.284735Z
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 360347d6-5a53-4e9f-9db1-1927662a7f12 · outbound
This paper cites Bergelson and R.
On multiplicative recurrence along linear patterns Bergelson and R
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.244745Z
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 24a75cb5-75ba-4c82-8faa-6631af4ccfb2 · outbound
This paper cites Bergelson and F.
On multiplicative recurrence along linear patterns Bergelson and F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.191582Z
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 8c41082c-b69e-4d0c-819e-5b1fec0b43b0 · outbound
This paper cites Charamaras.
On multiplicative recurrence along linear patterns Charamaras
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.126181Z
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 6deb99cf-cf17-4269-8317-6034068bc460 · outbound
This paper cites Donoso, A.
On multiplicative recurrence along linear patterns Donoso, A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.083346Z
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 e0aa5d80-1f91-4891-b3f9-eab025b2e915 · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:13.044040Z
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 aea0f7b4-13e3-45a7-ba50-abc8da037042 · outbound
This paper cites Frantzikinakis and B.
On multiplicative recurrence along linear patterns Frantzikinakis and B
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:13.007727Z
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 94ce36ec-08eb-48b5-b889-47185c3ad0b3 · outbound
This paper cites Partition regularity of generalized Pythagorean pairs.
On multiplicative recurrence along linear patterns Partition regularity of generalized Pythagorean pairs
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T22:31:11.044024Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ceff3b09-dae8-44a3-ab9c-d2d720117343 · outbound
This paper cites Frantzikinakis, O.
On multiplicative recurrence along linear patterns Frantzikinakis, O
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.923827Z
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 9ef7e0d0-69ae-43b5-829e-630b15aafb5f · outbound
This paper cites Frantzikinakis, M.
On multiplicative recurrence along linear patterns Frantzikinakis, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.900969Z
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 461f1624-1db5-4689-b677-6777e95be6dc · outbound
This paper cites Journal d’Analyse Mathématique, 31(1):204–256, 1977.
On multiplicative recurrence along linear patterns Journal d’Analyse Mathématique, 31(1):204–256, 1977
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.848739Z
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 52ab3034-b9ba-4fe7-a9e4-9f6729f455cb · outbound
This paper cites Furstenberg.
On multiplicative recurrence along linear patterns Furstenberg
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.796473Z
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 ff8773c7-0c7b-42b7-b4c3-755bdf55edd2 · outbound
This paper cites Furstenberg and Y.
On multiplicative recurrence along linear patterns Furstenberg and Y
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.755486Z
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 fd9b4a43-1b21-4e14-9819-ea8d1faa7ee0 · outbound
This paper cites Granville and K.
On multiplicative recurrence along linear patterns Granville and K
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.698995Z
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 c51a6032-6869-4ecb-849b-515409ee0750 · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:12.674133Z
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 b3882ef0-fd5c-4289-935c-4b16fe48468c · outbound
This paper cites Kamae and M.
On multiplicative recurrence along linear patterns Kamae and M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.630751Z
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 1f54c8f6-49d4-4138-95ea-fc545591f05f · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:12.583418Z
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 d618af82-3300-47b2-af82-0d2e1bf06e7b · outbound
This paper cites Klurman and A.
On multiplicative recurrence along linear patterns Klurman and A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.554740Z
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 24aefb61-652e-4f82-969e-c384dc5ac8f2 · outbound
This paper cites Klurman, A.
On multiplicative recurrence along linear patterns Klurman, A
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.534570Z
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 7088b70b-7f4d-4955-b771-41418122f866 · outbound
This paper cites On Elliott's conjecture and applications.
On multiplicative recurrence along linear patterns On Elliott's conjecture and applications
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T22:31:11.784745Z
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 9bd7a5a7-9e54-46b0-8dd8-45d62aa7e5c3 · outbound
This paper cites Languasco and A.
On multiplicative recurrence along linear patterns Languasco and A
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.488506Z
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 54cd443d-7c8a-4309-8f28-05a976a00186 · outbound
This paper cites Matomäki, M.
On multiplicative recurrence along linear patterns Matomäki, M
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.456645Z
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 8246a3a3-c4a6-46c2-9376-0660d31935a9 · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:12.384817Z
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 304c2839-5c1c-43b2-9163-122ac23d6099 · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:12.324801Z
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 96b45db9-2e3d-4fc1-9f3d-c2b65086649f · outbound
This paper cites Szemerédi.
On multiplicative recurrence along linear patterns Szemerédi
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.244877Z
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 3bf73c39-cc01-41ea-9bb5-e0301fea2005 · outbound
This paper cites an unresolved cited work.
On multiplicative recurrence along linear patterns Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:31:12.204632Z
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 ee4f5099-6fac-4f86-89b1-81c295fc0922 · outbound
This paper cites Tenenbaum.Introduction to analytic and probabilistic number theory, volume 163 of Graduate Studies in Mathematics.
On multiplicative recurrence along linear patterns Tenenbaum.Introduction to analytic and probabilistic number theory, volume 163 of Graduate Studies in Mathematics
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:12.134746Z
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 63a8119d-242e-4381-8174-d188ecf4da04 · outbound
This paper cites Titchmarsh.
On multiplicative recurrence along linear patterns Titchmarsh
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:31:11.998508Z
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 ad54a3e9-fae6-408a-939d-65622f216247 · inbound
Partition regularity of homogeneous quadratics: Current trends and challenges cites this paper.
Partition regularity of homogeneous quadratics: Current trends and challenges On multiplicative recurrence along linear patterns
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:11:42.834960Z
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.