Paper Citation Record · LEDGER

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus

As of 18 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.02611.

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

pith.paper-citation-record.v1
1908.02611 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:12:39.909128Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy5
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78d8ef15-aba0-4f76-8e16-ea77b67e6aa3 · outbound

This paper cites Berend, Multi-Invariant Sets on Tori, Transactions of the American Mathematical Society, 280 (1983), 509-532.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Berend, Multi-Invariant Sets on Tori, Transactions of the American Mathematical Society, 280 (1983), 509-532

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:12:40.091775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ff9d3a25-52b2-498c-a9fe-af6f0bf38a24 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:40.080966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dd635106-fcc2-40d3-863e-45e0241b232f · outbound

This paper cites Furstenberg.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Furstenberg

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:12:40.070511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 159f25c8-35e0-4e43-a0da-81262a1d99fd · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:40.059874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e5d54c3a-2db8-4e86-bd51-5103d8440ce7 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:40.046894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2ac6dfe4-f3c6-4184-a64f-6e09f3cc1f59 · outbound

This paper cites Kalinin and A.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Kalinin and A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:12:40.030509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 26f10ae7-f9ac-456d-9d20-00dbf8cc877d · outbound

This paper cites Katok and R.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Katok and R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:12:40.017790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 79c751b6-07f4-4c46-be38-8f4e77f401ff · outbound

This paper cites Katok and R.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Katok and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:12:40.004791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 73ef5cf9-4d72-4450-af94-1480aadc2e71 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:39.992490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a8139ea9-1067-4eeb-a1ce-916fe5a0e694 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:39.980676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1bb4e104-c6f4-4040-8865-4981d41a8ad5 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:39.969901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9b050a1b-ce99-4134-82fe-d9c853c44e9d · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:39.958312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9b25b297-a07e-4434-a226-2f98a1aa1d32 · outbound

This paper cites an unresolved cited work.

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:12:39.945334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.