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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.752992Z digest=sha256:34f017fc76e24fbb01c69138c838ab041dd9546c6ee41e25bb9562d946db3aeb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.756622Z digest=sha256:b17bc4edc92148146c52daba3eaaa285e10f595478193c4adce0ab5d2a1801a8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.759831Z digest=sha256:aaf9c864b8f0846424cf8cf4ab3de4736f8a3045c396570747cddb1bc400ce63

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.763575Z digest=sha256:556bc70d035db3511630b2ef76aa0ec8756c21f128b338c4872a1d4954b8fa4c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.792488Z digest=sha256:df5d0f13b862416dc76fa1612ae3af022bfc78e3e0e5eecae1f9d2422059bc78

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.837819Z digest=sha256:cccd3bc98d641bb6fffac6cb7698ae2766f7545c1428f81c67a427284f82d9a9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.895609Z digest=sha256:db70bef4a36bf5c127d21a57d0c4a17391901318f7ed7274c9113df935628376

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:20.959655Z digest=sha256:dbdd84a132f750cf289ccb95a6bfb04ce7f95781c2ca111e2fdf02e9df0df21b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.007932Z digest=sha256:518cc8e7f3e11d1bfca873f674877d5f54da8121ce8d6a54df5cacdae94f3a5c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.059222Z digest=sha256:23493687d6147ffd8a958dc5db381c78a2b640506fbbcdaa891a5e8d6c946949

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.103781Z digest=sha256:f2e6dc6259bbd3a22f4a482742f59a9653354e1b3d6deeabff2f2936fa3020f1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.135548Z digest=sha256:1506ca9830cd5bb84ef77a4972768cae54f3e83c45ef8539aa976577fe12ca8a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.160366Z digest=sha256:8abb2a52bba826ba0b1a97ce40f6fc41e45a35e0807cd7081430ed023bf86ec0

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.204130Z digest=sha256:2d25190084caa5ac51cd0a9cf0d88631ecaff7f9a15cc7a549b4dc2ff7bffad2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.222869Z digest=sha256:71779eda72546f59fc0ad2be3ab25bcc4108d133768a32ae6ebfd918a80b32ef

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.

source=pdf_text observed=2026-08-10T20:58:21.229168Z digest=sha256:8eb500603d4cd854ab5eaa221566f3bd55bfcd78a9aa9f0e4790c823edce04be

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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.

source=pdf_text observed=2026-08-10T20:58:21.285732Z digest=sha256:fa168fa87e1cb8be4fde2b971ecd7bdcf662a1964f2cc801f298e85b21be4b87

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.294119Z digest=sha256:cad88043f8105437b5afa7a3fa89c79979a4c6e736b62a32881ed1f79df72a4d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.314719Z digest=sha256:1199758abbff962648baa7b5daa12374fe368bf6d5e6ba91b00d18f729294e4e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.358798Z digest=sha256:fa7c5220b66aad6d7714ad54f5792abd94e582e1d3fc73f002abf75e9dc5f3b0

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.526205Z digest=sha256:25b2fe2f64e436354a3dfd84260a932b0b05ebdaa0bb5834da113be8f11cea90

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.604763Z digest=sha256:9b84e9dca4c7a43b2197332f0ffe2207c8c42bd1592ad9b39505570d3e6ced87

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.

source=pdf_text observed=2026-08-10T20:58:21.609314Z digest=sha256:7d613bb3e7dcf353be8a9bcedd3f6775d89b8a8b06f2aee3eacc9984fe40333c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.619587Z digest=sha256:49efbf26687bd960a53ad24b71feaaeabafb79c94aef44e579b94a722d627fbe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.623562Z digest=sha256:05544b97a24938d15abe057dc51562155daf455168ba6f299b1017609342116b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:58:21.631004Z digest=sha256:11c5e166f24f5149b73892aab1411b277ad0320c1aec966390c02ab9978c0e5a

Pith citing papers

No inbound Pith citation observations are available.