Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:00:57.303355Z
Paper Citation Record · LEDGER
Resolving the joint ergodicity problem for Hardy sequences
As of 19 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 3 inbound Pith citation observations for arXiv:2506.20459.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T08:36:53.186668Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T15:33:02.834723Z
Reference resolution
47 of 47 outbound references displayed
- verified exact3
- verified fuzzy35
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ec4d649f-0426-41c5-bb62-74fcb5ad036a · outbound
This paper cites Berend and V.
Resolving the joint ergodicity problem for Hardy sequences Berend and V
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.883337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c9e9e598-90ff-43c7-8ba2-ae72c62e7764 · outbound
This paper cites Berend and V.
Resolving the joint ergodicity problem for Hardy sequences Berend and V
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.873357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0c88dd49-8d64-456e-9183-846e77dc466c · outbound
This paper cites Bergelson.
Resolving the joint ergodicity problem for Hardy sequences Bergelson
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.864042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2287f1d0-c545-4be0-90e4-f7907b4f5514 · outbound
This paper cites Bergelson and I.
Resolving the joint ergodicity problem for Hardy sequences Bergelson and I
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.854212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c1d425b4-3ba3-421e-ba69-0e6838e60450 · outbound
This paper cites Bergelson, B.
Resolving the joint ergodicity problem for Hardy sequences Bergelson, B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.845358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bf980951-fafc-4260-8743-27dd3f75127a · outbound
This paper cites Bergelson and A.
Resolving the joint ergodicity problem for Hardy sequences Bergelson and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.835887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6e6ce857-76d9-4cfb-9ec2-2be7105019df · outbound
This paper cites Bergelson, A.
Resolving the joint ergodicity problem for Hardy sequences Bergelson, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.825920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b68c4f9f-be91-4480-b577-bf456026378b · outbound
This paper cites Bergelson, J.
Resolving the joint ergodicity problem for Hardy sequences Bergelson, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.815204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9d643447-5364-4970-b041-23bd3da7c634 · outbound
This paper cites Joint normality of representations of numbers: an ergodic approach.
Resolving the joint ergodicity problem for Hardy sequences Joint normality of representations of numbers: an ergodic approach
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T23:00:57.455107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 48937e63-d0ee-47f9-872d-dad965420e2c · outbound
This paper cites Bergelson and Y.
Resolving the joint ergodicity problem for Hardy sequences Bergelson and Y
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.805183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a5f96567-3098-4ee2-a10b-f4027636fce0 · outbound
This paper cites Best and A.
Resolving the joint ergodicity problem for Hardy sequences Best and A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.794964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ce347787-9747-4201-b333-3ca1633559c9 · outbound
This paper cites Boshernitzan.
Resolving the joint ergodicity problem for Hardy sequences Boshernitzan
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.783998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c1006ea3-07b8-4658-9513-0bac8cd0c169 · outbound
This paper cites Boshernitzan, G.
Resolving the joint ergodicity problem for Hardy sequences Boshernitzan, G
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.774661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d16266cc-4386-486b-bb45-9f459972600d · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.764552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9e6f2c38-067d-4c9a-abd5-86d754647838 · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.753634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bcd06fda-b7f3-4015-8bc5-5e2ce9ebc100 · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T23:00:57.200113Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b2032ac-1816-4feb-99fc-9d86b915da6a · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.743778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 04a999bb-6f71-4363-b330-af1f5c2c44b8 · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.734855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 16c2a73f-9351-4321-84bc-a2da50a72af2 · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.725288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation abad9b08-de14-4690-86d8-d5bdf6b10886 · outbound
This paper cites Donoso, A.
Resolving the joint ergodicity problem for Hardy sequences Donoso, A
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.715424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation be8710e4-948e-4f2d-b360-6bb7426f999f · outbound
This paper cites Frantzikinakis.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.705508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9528732a-a4b0-4788-a6e3-b7792c7923da · outbound
This paper cites Frantzikinakis.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.695804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6aff0dcf-8500-453c-9625-a2528383b561 · outbound
This paper cites Frantzikinakis.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.686391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7d4c6d1e-7ec6-4367-aa5d-b43a52aa0b7f · outbound
This paper cites Frantzikinakis.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.677048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c75172ae-1509-427f-ae83-dca205f661e5 · outbound
This paper cites Frantzikinakis.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.667060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9c4908e-d0ab-4d7f-822e-1521bfcec63d · outbound
This paper cites Frantzikinakis and B.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis and B
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.657534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dc33ada5-1320-464a-8a9a-38e86e8d76c5 · outbound
This paper cites Frantzikinakis and B.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis and B
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.648585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 612462f5-65fe-4100-bd2f-dc8e6023fe7f · outbound
This paper cites Frantzikinakis and B.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis and B
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.638725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d3390027-d4a7-45b5-8d0c-023ab2dae361 · outbound
This paper cites Frantzikinakis and B.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis and B
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.629425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fe081081-7cdf-4f4e-85b3-dbfefcf063fc · outbound
This paper cites Frantzikinakis and B.
Resolving the joint ergodicity problem for Hardy sequences Frantzikinakis and B
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.618844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f63bed8e-d9a6-4b2c-96c2-9d62c633319f · outbound
This paper cites Furstenberg.
Resolving the joint ergodicity problem for Hardy sequences Furstenberg
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.608560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9582b86c-d349-40d9-82ee-34876a016934 · outbound
This paper cites Green and T.
Resolving the joint ergodicity problem for Hardy sequences Green and T
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.598507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 99f96a31-a6b9-4d85-854f-f6b8a81b1360 · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.588797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation af4eefb8-d8dc-4729-ad2c-b42e530beefc · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.579041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c4fd898c-16df-46af-9e6b-12294d6b357b · outbound
This paper cites Host and B.
Resolving the joint ergodicity problem for Hardy sequences Host and B
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.568849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 43d5bfaa-5c4d-45fa-a2bf-16b7a32e6bc6 · outbound
This paper cites Host and B.
Resolving the joint ergodicity problem for Hardy sequences Host and B
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.558080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b795961a-bf46-4cd0-be27-261ae464dfca · outbound
This paper cites Karageorgos and A.
Resolving the joint ergodicity problem for Hardy sequences Karageorgos and A
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.548648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 936d4ec9-9d97-4ebf-96b9-6597a80d64ae · outbound
This paper cites Koutsogiannis.
Resolving the joint ergodicity problem for Hardy sequences Koutsogiannis
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.539733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ec03693e-e728-4365-8050-2f67831f5ccd · outbound
This paper cites Koutsogiannis.
Resolving the joint ergodicity problem for Hardy sequences Koutsogiannis
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.530523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 60eb846c-82bc-4e46-8a6d-ceb46b6fb227 · outbound
This paper cites Total joint ergodicity for totally ergodic systems.
Resolving the joint ergodicity problem for Hardy sequences Total joint ergodicity for totally ergodic systems
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T23:00:57.348796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dba1a9ab-f60f-459a-bf80-33891bd8ad56 · outbound
This paper cites Ergodic averages for sparse sequences along primes.
Resolving the joint ergodicity problem for Hardy sequences Ergodic averages for sparse sequences along primes
Reference 41
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T23:00:57.334374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation aa5fbf82-84af-4cfe-b4d4-72b15661292a · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.518728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8e4f6030-ff27-469f-9bc0-8d1478e498b5 · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.507058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e8de20fd-1351-44f2-938a-86e4bd164d4b · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.497162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b244bd46-0587-480c-9236-68adf1e1d30a · outbound
This paper cites Tao and T.
Resolving the joint ergodicity problem for Hardy sequences Tao and T
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:00:57.486882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9f54d504-8a4a-4400-b553-d58652fcbd7a · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.477217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1b6de48e-bc75-4596-9040-36c23001b9ad · outbound
This paper cites an unresolved cited work.
Resolving the joint ergodicity problem for Hardy sequences Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T23:00:57.467203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 1c273701-7749-4d8e-b4ff-8ef2453bc4dd · inbound
Infinite sumsets in $U^k(\Phi)$-uniform sets cites this paper.
Infinite sumsets in $U^k(\Phi)$-uniform sets Resolving the joint ergodicity problem for Hardy sequences
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T15:33:02.836810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b68d57f3-6cf1-412c-b364-0e55530cfd9c · inbound
$\mathrm{IP}_{\mathrm{rat}}$-polynomial recurrence and large intersections cites this paper.
$\mathrm{IP}_{\mathrm{rat}}$-polynomial recurrence and large intersections Resolving the joint ergodicity problem for Hardy sequences
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T03:37:26.796410Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a327506d-3110-4129-9005-0d52ab5dee10 · inbound
Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials cites this paper.
Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials Resolving the joint ergodicity problem for Hardy sequences
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T08:36:53.186668Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.