Paper Citation Record · LEDGER

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2501.06877.

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

pith.paper-citation-record.v1
2501.06877 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:58:21.631004Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

34 of 34 outbound references displayed

verified exact0
verified fuzzy15
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 088bcc56-6257-45fe-8027-8946c7680679 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.948968Z

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 9cd13e4b-44ef-4098-9510-6462aa4214ee · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.939263Z

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 79501724-70e7-4bea-a4d3-b8a1cc60f99a · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.922152Z

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 adf5c0ee-819d-416b-931d-573f4d7de16d · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.909936Z

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 4fedcc62-a4da-4557-9b4b-62f2ff621a06 · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.822094Z

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 71fd435c-c0ab-4157-ad76-11e2f20c039f · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.800893Z

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 85c1f3e4-ba46-41c6-b465-90b53b3c399c · outbound

This paper cites Bourgain.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Bourgain

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.748575Z

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 2489d078-ed57-45fa-ae1d-dbd747925934 · outbound

This paper cites Calder´ on.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Calder´ on

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.704060Z

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 ca1d423b-bacd-458d-849b-fdfad151bd8f · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.692287Z

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 067e2a4f-edd0-4d80-804c-dcced9295d3d · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.680985Z

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 fff88e1d-5471-4465-99d7-f7edac3f8250 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.668010Z

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 72492b6d-380f-477d-909b-c713ca058430 · outbound

This paper cites Demeter; M.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Demeter; M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.655790Z

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 604d8e81-cf2a-4c3a-a44d-89cfd841e59f · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.585012Z

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 8845e357-efeb-4953-be63-92e02321956c · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.563908Z

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 0245b705-3f14-4bb5-8790-bb7a390e05cd · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.552912Z

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 0f0cc0b5-43f0-4ccd-9bfb-7adf3cee3073 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.541152Z

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 79bdf66f-21b7-437b-960a-ca3b425f9e4a · outbound

This paper cites Jones; R.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Jones; R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.523754Z

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 78518bcd-11e0-42cd-ae49-eb2129d7abb5 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:21.229168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79dd32e7-d1b0-454a-8e8e-4c704211444a · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.421904Z

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 216ca899-d208-487a-a328-49fd6d93c1c5 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.406335Z

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 4778b019-325b-4b36-8a8a-e6d0bcd1fee5 · outbound

This paper cites Krause; M.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Krause; M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.393826Z

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 e81ef3ee-97a7-4dc6-aba5-2275f3a5c4ff · outbound

This paper cites Krause; H.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Krause; H

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:21.285732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 226928d9-d363-4c35-a55c-42b8e955e20d · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.369799Z

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 2c3ad87f-8bdd-44b3-947e-c84903d4a009 · outbound

This paper cites Mirek; E.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Mirek; E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.299895Z

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 87b372e9-2e3a-4a55-b65b-860a40d2991b · outbound

This paper cites Mirek; E.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Mirek; E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.233698Z

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 0bf2e0cb-350c-4c81-9688-11e4540e970f · outbound

This paper cites Mirek; E.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Mirek; E

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.193368Z

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 aa6b820a-f8cd-40ed-8010-7926fbffe6f0 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.181086Z

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 0aeb7d3e-4741-4100-b4dd-19b735638622 · outbound

This paper cites Szemer´ edi.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Szemer´ edi

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:22.168155Z

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 d459eb1b-fede-4030-b995-d7db25fb3c11 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:22.070385Z

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 7e43cdaa-41fd-45db-a4ca-5bb3b804e4fb · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:21.962752Z

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 998bb806-b1c8-4276-95f8-84cac00a6a49 · outbound

This paper cites Pointwise convergence of ergodic averages with M\"obius weight.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Pointwise convergence of ergodic averages with M\"obius weight

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:21.609314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 474707d7-cec7-4e2d-92ad-6105e506773f · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:21.914672Z

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 1ec7de6d-4341-43ce-8300-b6c0094cdf49 · outbound

This paper cites an unresolved cited work.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:21.895423Z

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 b39d9d8c-b622-4a18-a56d-a38ee80dae12 · outbound

This paper cites Wiener; A.

A Unified Approach to Two Pointwise Ergodic Theorems: Double Recurrence and Return Times Wiener; A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:21.877093Z

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

No inbound Pith citation observations are available.