Paper Citation Record · LEDGER

Van der Waerden type theorem for amenable groups and FC-groups

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2411.15987.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.15987 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:56:13.236434Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy16
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74e7a5bd-480f-432d-af38-7858846245e3 · outbound

This paper cites Austin, Non-conventional ergodic averages for several commuting a ctions of an amenable group , Journal d’Analyse Mathématique, 130 (2013), 243–274.

Van der Waerden type theorem for amenable groups and FC-groups Austin, Non-conventional ergodic averages for several commuting a ctions of an amenable group , Journal d’Analyse Mathématique, 130 (2013), 243–274

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.449892Z

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 538e4560-19c3-4fd5-a829-b12c5b30f3c0 · outbound

This paper cites Bergelson, and N.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, and N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.439133Z

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 ecb0737e-0d11-4919-9ae7-474e89100ca5 · outbound

This paper cites Bergelson, N.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.428360Z

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 ff89c430-4b67-45c9-9472-dc008a3d73e8 · outbound

This paper cites Bergelson, J.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.417787Z

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 248b3b38-0390-4b07-90ec-58cdd793fcae · outbound

This paper cites Bergelson, J.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.407485Z

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 259778c0-3218-4255-a22d-e3fead0daaaf · outbound

This paper cites Bergelson, and R.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, and R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.397002Z

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 b6abdad6-ed39-4264-a0cc-0d6dc5c2dbce · outbound

This paper cites Bergelson, R.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.386431Z

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 8f698585-f0cb-4c63-9ad8-4b6031145621 · outbound

This paper cites Bergelson, Ergodic Ramsey Theory–an Update , 1996.

Van der Waerden type theorem for amenable groups and FC-groups Bergelson, Ergodic Ramsey Theory–an Update , 1996

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.375701Z

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 0fd1d086-147b-46cd-a8ee-6e02354fddd0 · outbound

This paper cites Brian, and P.

Van der Waerden type theorem for amenable groups and FC-groups Brian, and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.364482Z

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 926731e4-ffbe-419e-81f1-11633d32bc2d · outbound

This paper cites de Cornulier, Left syndeticity and right syndeticity in nilpotent group , MathOverﬂow, 2022.

Van der Waerden type theorem for amenable groups and FC-groups de Cornulier, Left syndeticity and right syndeticity in nilpotent group , MathOverﬂow, 2022

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.354544Z

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 941ac143-c2a7-42ce-acd4-ae29fb329109 · outbound

This paper cites Furstenberg, Recurrence in Ergodic Theory and combinatorial Number Theo ry, Princeton Uni- versity Press, 1981.

Van der Waerden type theorem for amenable groups and FC-groups Furstenberg, Recurrence in Ergodic Theory and combinatorial Number Theo ry, Princeton Uni- versity Press, 1981

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.343706Z

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 4029dde1-b331-4fb2-a78e-c62e02a09cdc · outbound

This paper cites Furstenberg, and B.

Van der Waerden type theorem for amenable groups and FC-groups Furstenberg, and B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.333439Z

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 4951c131-09bc-4f58-8ab7-21d0100d88ee · outbound

This paper cites Hindman, and D.

Van der Waerden type theorem for amenable groups and FC-groups Hindman, and D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.323127Z

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 9a3a2885-4422-4060-93ba-03a674395a92 · outbound

This paper cites Meyn, FC-groups and related classes , Rend.

Van der Waerden type theorem for amenable groups and FC-groups Meyn, FC-groups and related classes , Rend

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.312250Z

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 e34c6af6-608f-4fa3-97dd-345f01419167 · outbound

This paper cites an unresolved cited work.

Van der Waerden type theorem for amenable groups and FC-groups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:56:13.302517Z

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 dea5e016-cf65-48a5-84e0-89a998d6c694 · outbound

This paper cites Rado, Note on Combinatorial Analysis , Proceedings of The London Mathematical Society, 1945, 122–160.

Van der Waerden type theorem for amenable groups and FC-groups Rado, Note on Combinatorial Analysis , Proceedings of The London Mathematical Society, 1945, 122–160

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.292143Z

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 516284a5-18b1-4891-bc6f-28f5567375a0 · outbound

This paper cites an unresolved cited work.

Van der Waerden type theorem for amenable groups and FC-groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:56:13.281041Z

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 652a02f7-095b-426e-a915-fa4ed186e93c · outbound

This paper cites Witt, Ein kombinatorisches Satz der Elementargeometrie , Mathematische Nachrichten, 1951, 261–262.

Van der Waerden type theorem for amenable groups and FC-groups Witt, Ein kombinatorisches Satz der Elementargeometrie , Mathematische Nachrichten, 1951, 261–262

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:56:13.269804Z

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.