Paper Citation Record · LEDGER

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.13486.

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

pith.paper-citation-record.v1
2411.13486 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:31:14.000446Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

23 of 23 outbound references displayed

verified exact1
verified fuzzy17
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 808fe95a-cbe5-47f6-932e-b903ec363922 · outbound

This paper cites Krygin, An example of a cylindrical cascade with ano malous metric properties, Moscow State University Bulletin, ser.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Krygin, An example of a cylindrical cascade with ano malous metric properties, Moscow State University Bulletin, ser

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:15.047369Z

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 c8729cbf-f817-42fa-a332-80aa52d49260 · outbound

This paper cites Shneiberg, Zeros of integrals along trajectories of ergodic systems, Funct.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Shneiberg, Zeros of integrals along trajectories of ergodic systems, Funct

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.990190Z

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 a3d0e799-924e-422f-bb58-e71c1d70f025 · outbound

This paper cites an unresolved cited work.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:31:14.954296Z

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 7c6844d7-5fb5-4450-88da-d1202c700889 · outbound

This paper cites Ryzhikov, Recurrence of integral zeros on trajecto ries of ergodic ﬂow.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Ryzhikov, Recurrence of integral zeros on trajecto ries of ergodic ﬂow

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.915590Z

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 31ea0d43-a399-41b6-a151-343b2c594c55 · outbound

This paper cites Moshchevitin, Recurrence of the integral of a smoot h three-frequency conditionally periodic function, Math.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Moshchevitin, Recurrence of the integral of a smoot h three-frequency conditionally periodic function, Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.882837Z

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 bc3a0da8-063f-4e28-83f1-61f1cb8a1571 · outbound

This paper cites Konyagin, Recurrence of the integral of an odd condi tionally periodic function, Math.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Konyagin, Recurrence of the integral of an odd condi tionally periodic function, Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.857507Z

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 0a23dcbe-fc42-41da-92d0-1059c37c96fc · outbound

This paper cites an unresolved cited work.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:31:14.831773Z

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 5912365b-4666-41ef-af3a-a9eafd730ce6 · outbound

This paper cites Kochergin, On the Growth of Birkhoﬀ Sums over a Rotat ion of the Circle, Math.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Kochergin, On the Growth of Birkhoﬀ Sums over a Rotat ion of the Circle, Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.781140Z

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 7d160dd8-a2a1-4609-91c6-2b7d2434a0fa · outbound

This paper cites Ryzhikov, Polymorphisms, joinings, and the tenso r simplicity of dynamical systems, Funct.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Ryzhikov, Polymorphisms, joinings, and the tenso r simplicity of dynamical systems, Funct

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.748869Z

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 a5bbb63d-a32b-471f-a3cd-afd414ddc59a · outbound

This paper cites Ryzhikov, Self-joinings and generic extensions o f ergodic systems, Funct.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Ryzhikov, Self-joinings and generic extensions o f ergodic systems, Funct

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.712732Z

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 cc292d43-6cab-439c-bfff-1ffb6af9f437 · outbound

This paper cites Weiss, Single orbit dynamics.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Weiss, Single orbit dynamics

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-12T16:31:14.302439Z

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 1bbddfcb-2bc6-4256-bcc7-d565a939f258 · outbound

This paper cites Krygin, An example of a cylindrical cascade with ano malous metric properties, Moscow State University Bulletin, ser.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Krygin, An example of a cylindrical cascade with ano malous metric properties, Moscow State University Bulletin, ser

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.676182Z

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 0a20c635-f52a-4064-87a5-b7ceb98a4c53 · outbound

This paper cites Atkinson, Reccurence of co-cycles and random walks, J.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Atkinson, Reccurence of co-cycles and random walks, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T16:31:13.905470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48dbd095-b5b2-4e3f-a390-f84433181eb8 · outbound

This paper cites Shneiberg, Zeros of integrals along trajectories of ergodic systems, Funct.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Shneiberg, Zeros of integrals along trajectories of ergodic systems, Funct

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.646408Z

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 b4a09b6d-b5c5-4494-bedc-8e06da209d21 · outbound

This paper cites an unresolved cited work.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:31:14.611287Z

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 112042a6-4f1c-4173-9051-e60d7ecffea9 · outbound

This paper cites Ryzhikov, Recurrence of integral zeros on trajecto ries of ergodic ﬂow.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Ryzhikov, Recurrence of integral zeros on trajecto ries of ergodic ﬂow

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.569843Z

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 f2b1f63d-ab6b-4cec-a1b9-217962b0281c · outbound

This paper cites Мощевитин, О возвращаемости интеграла гладкой тре хчастотной условнопериодической функции, Матем.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Мощевитин, О возвращаемости интеграла гладкой тре хчастотной условнопериодической функции, Матем

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.545438Z

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 52be4cdb-e75d-4f25-9ff3-eb2b69674769 · outbound

This paper cites Конягин, О возвращаемости интеграла нечетной усло внопериодической функции, Матем.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Конягин, О возвращаемости интеграла нечетной усло внопериодической функции, Матем

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.512960Z

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 fb0903bc-ed70-4fa0-9c0b-52629a44a808 · outbound

This paper cites Козлов, Методы качественного анализа в динамике тв ердого тела, РХД, Ижевск, 2000 V.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Козлов, Методы качественного анализа в динамике тв ердого тела, РХД, Ижевск, 2000 V

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.466671Z

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 191eedc9-6057-43e2-b0ea-a33834c8d125 · outbound

This paper cites Кочергин, О росте сумм Биркгофа над поворотом окруж ности, Матем.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Кочергин, О росте сумм Биркгофа над поворотом окруж ности, Матем

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.415340Z

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 e631d319-9a7d-4574-9761-46fe5e273be0 · outbound

This paper cites an unresolved cited work.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:31:14.388753Z

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 486afcad-b470-4998-9263-03205cb91280 · outbound

This paper cites Ryzhikov, Self-joinings and generic extensions o f ergodic systems, Funct.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Ryzhikov, Self-joinings and generic extensions o f ergodic systems, Funct

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.363050Z

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 292bdf33-407f-4577-b842-7d3c7b41e9d9 · outbound

This paper cites Weiss, Single orbit dynamics.

Around Krygin-Atkinson, Shneiberg theorems, the recurrence with zero integrals Weiss, Single orbit dynamics

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:31:14.327048Z

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

No inbound Pith citation observations are available.