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Paper Citation Record · LEDGER

Product sets in sets of returns and positivity of symmetric ergodic averages

As of 23 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.02873.

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

pith.paper-citation-record.v1
2608.02873 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:08:14.769847Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

48 of 48 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1436ca92-2c9c-4133-bcee-84b618d1f23c · outbound

This paper cites Sets of recurrence of.

Product sets in sets of returns and positivity of symmetric ergodic averages Sets of recurrence of

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7f3fba6f-383d-43c4-8ebd-5d23d067f6bf · outbound

This paper cites Handbook of dynamical systems , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Handbook of dynamical systems , volume=

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.520783Z digest=sha256:4fcbbbd6bca6aa75d1c9878cb8fc18a7897e8ff2b5618ed4c3fb4ef64789aba6

Observation cc713c66-b56c-455c-9b70-e26a9126baf8 · outbound

This paper cites Israel Journal of Mathematics , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Israel Journal of Mathematics , volume=

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 1e5dbfd6-bc73-42ae-8f0c-43a1465a2792 · outbound

This paper cites Ergodic theorems for polynomials in nilpotent groups.

Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic theorems for polynomials in nilpotent groups

Reference 4

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.534823Z digest=sha256:dbdd518fb64fb43f98411c85df19275a3e55a1c3639d46f6292596d06e953462

Observation 1db32341-c0ac-458e-abb5-8d72083ad01e · outbound

This paper cites A nilpotent.

Product sets in sets of returns and positivity of symmetric ergodic averages A nilpotent

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ffaacb2a-aa33-484e-b11e-1b28164c2cd7 · outbound

This paper cites An inverse of.

Product sets in sets of returns and positivity of symmetric ergodic averages An inverse of

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0a0ed659-0818-473c-ac2a-bbd006bf5d4c · outbound

This paper cites Topology Proceedings , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Topology Proceedings , volume=

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 111fca0e-41bb-4c2d-9b22-80688f5a4975 · outbound

This paper cites The smallest ideals in the two natural products on.

Product sets in sets of returns and positivity of symmetric ergodic averages The smallest ideals in the two natural products on

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.556847Z digest=sha256:d1169cc3f63193cf8790b6c8bf28e7e33fab32b82cb62d42750ff5a81363135f

Observation 87499abd-aa05-4816-84fc-5844c58bf28b · outbound

This paper cites 2016 , PAGES =.

Product sets in sets of returns and positivity of symmetric ergodic averages 2016 , PAGES =

Reference 9

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.562546Z digest=sha256:61b55c7d9ede942920c5e636cba8901de2cfa4dc6305693ada55a8c465d7bada

Observation 8e3e53d5-cbc7-4d00-9a6c-bf0d683cb4c1 · outbound

This paper cites Ergodic Theory and Dynamical Systems , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0b4eff75-c51e-43ce-8847-fcf2b26bab75 · outbound

This paper cites Israel Journal of Mathematics , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Israel Journal of Mathematics , volume=

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ff738659-91a5-43b1-9eaf-78ed176beaff · outbound

This paper cites An ergodic IP polynomial Szemer.

Product sets in sets of returns and positivity of symmetric ergodic averages An ergodic IP polynomial Szemer

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 47ea3182-410f-45e0-afa2-80f0529cf0de · outbound

This paper cites Journal d'Analyse Math.

Product sets in sets of returns and positivity of symmetric ergodic averages Journal d'Analyse Math

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c0f9da54-a344-4106-aa42-f17847f3f55b · outbound

This paper cites Ergodic Theory and Dynamical Systems , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 264b4aa2-9c17-490d-a878-54832ba2a39f · outbound

This paper cites Ergodic Theory and Dynamical Systems , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.594777Z digest=sha256:8fc58edd0b2a13d189c02ad6d366b0d926f9773aa8c44403844ae8983cbf9bf3

Observation 1c47da8e-01cc-4521-939b-920a0522a03a · outbound

This paper cites Journal of number theory , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Journal of number theory , volume=

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 69b8009e-03cf-4703-8900-b514966c8530 · outbound

This paper cites Amenability of groups and.

Product sets in sets of returns and positivity of symmetric ergodic averages Amenability of groups and

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 663e8da5-78ad-4243-b99f-c4c699099f84 · outbound

This paper cites Advances in Mathematics , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Advances in Mathematics , volume=

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f2ce5544-dc2b-4ee4-b91e-3b4d8951e099 · outbound

This paper cites A generalization of.

Product sets in sets of returns and positivity of symmetric ergodic averages A generalization of

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 1f71ddb6-640f-4326-bd35-905c72e95198 · outbound

This paper cites Summenmengen in lokalkompakten abelschen.

Product sets in sets of returns and positivity of symmetric ergodic averages Summenmengen in lokalkompakten abelschen

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 8ed59e12-ec2b-4374-9653-45353b49070b · outbound

This paper cites Journal d'Analyse Math.

Product sets in sets of returns and positivity of symmetric ergodic averages Journal d'Analyse Math

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 16edcd84-25aa-4e2c-a0d3-8d561dd0be31 · outbound

This paper cites Uniform distribution of prime powers and sets of recurrence and van der.

Product sets in sets of returns and positivity of symmetric ergodic averages Uniform distribution of prime powers and sets of recurrence and van der

Reference 22

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verified fuzzy
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 002bdd23-4fae-4163-ba2c-426ad5531f8a · outbound

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Product sets in sets of returns and positivity of symmetric ergodic averages 1992 , publisher=

Reference 23

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation bc1c37fe-d9da-4f87-b076-e0d20bf7b0d1 · outbound

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Product sets in sets of returns and positivity of symmetric ergodic averages 2017 , publisher=

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation e531e04b-b50b-4afb-846d-d7aae596e788 · outbound

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Product sets in sets of returns and positivity of symmetric ergodic averages 2002 , publisher=

Reference 25

Resolution
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no resolver link, observed 2026-08-15T15:08:14.645836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.645836Z digest=sha256:68eaa8021e214b6dbb461b2e3f678ebb9c02a9db93932ce9b6d95b551749d76a

Observation d213b88c-b011-42f9-9dda-896b4ab8c7c8 · outbound

This paper cites an unresolved cited work.

Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation e817422e-47ff-41db-a639-d9497d359b3d · outbound

This paper cites an unresolved cited work.

Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-08-15T15:08:15.220616Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.656832Z digest=sha256:06e65e8eba71196026f700f6b3d5ff5431d56aa271b950177e17c1d4dac3e210

Observation 9b5acea1-528f-4de0-bed0-94c64eac292e · outbound

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Product sets in sets of returns and positivity of symmetric ergodic averages 2000 , publisher=

Reference 28

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.662781Z digest=sha256:bc89d3eaf571c6637d24c424ed500e36c6e1b6153ef880839153fceb5cb64ca1

Observation af5c48a8-29d2-4385-9766-659359dec519 · outbound

This paper cites Transactions of the American Mathematical Society , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Transactions of the American Mathematical Society , volume=

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 164f135b-6584-4cc5-ad38-0d3ec67c2557 · outbound

This paper cites Journal of Combinatorial Theory, Series A , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Journal of Combinatorial Theory, Series A , volume=

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.673072Z digest=sha256:541e14c9c451626a09e3f8e0fcb6f5fd9e3f4ffdb36723be377529293337672b

Observation 93575c0a-f9a1-483c-9470-f6c4eb628452 · outbound

This paper cites an unresolved cited work.

Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work

Reference 31

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raw_fallback, observed 2026-08-15T15:08:15.141640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.677912Z digest=sha256:fd4ffb811f7f4a26db87905a9cde4e9b43739cd23d67b573e45c63dab016cce8

Observation f6ff8e20-6afd-4543-9b2a-11d71eedaba4 · outbound

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Product sets in sets of returns and positivity of symmetric ergodic averages Amenability , series=

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:15.120936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.683456Z digest=sha256:4774c8da97106756d7a80e1da350f5e4cba0713bc229e38bae298099d4aabbb7

Observation bdd40bdf-655f-412a-820e-5c90a618ba19 · outbound

This paper cites Izvestiya Akademii Nauk SSSR.

Product sets in sets of returns and positivity of symmetric ergodic averages Izvestiya Akademii Nauk SSSR

Reference 33

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verified fuzzy
raw_fallback, observed 2026-08-15T15:08:15.102212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.688609Z digest=sha256:0e564f1a6c7c68d276e4ddcae480c5d4fcbc644c65fbd9a1c1dcd81c383a7b19

Observation f4e45a9e-5830-4861-97d0-d6305bbd94f4 · outbound

This paper cites Journal f\"ur die reine und angewandte Mathematik , volume =.

Product sets in sets of returns and positivity of symmetric ergodic averages Journal f\"ur die reine und angewandte Mathematik , volume =

Reference 34

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raw_fallback, observed 2026-08-15T15:08:15.083398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.693730Z digest=sha256:18b1c33b104f8ad7960f807ed2c1cadc1ce21961e6968788c010b8e96e97ed0a

Observation 14ad80b9-bf50-431d-9e36-2794c4336cc1 · outbound

This paper cites Inventiones Mathematicae , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Inventiones Mathematicae , volume=

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:15.062990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.699261Z digest=sha256:c1ff69cc694c3c898f06de73698ca51424c041ffcd1a2279140fd6d24a55d493

Observation 0bef9350-1aa0-4332-a798-5cfc9a3a4d03 · outbound

This paper cites I , author=.

Product sets in sets of returns and positivity of symmetric ergodic averages I , author=

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:14.705007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.705007Z digest=sha256:9723f84e411d9e4b076549e398ad4a1847f666932089cadc6410f424979e8421

Observation 382222ca-90a8-4ae7-95c7-e105029432eb · outbound

This paper cites A note on the.

Product sets in sets of returns and positivity of symmetric ergodic averages A note on the

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:15.029810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.710217Z digest=sha256:082e38b73858ffa84b70cdab4966ed97ff0f83db08f9584065c40aa136ee926e

Observation 8a55e735-2b29-4841-acfe-6e6e4a8ad6a1 · outbound

This paper cites 2012 , publisher=.

Product sets in sets of returns and positivity of symmetric ergodic averages 2012 , publisher=

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:15.012009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.715304Z digest=sha256:647dae535569969950c8a82d6231cd9e93f239f1d009fec0a44bce83e91e9823

Observation 30f4a384-efc3-4458-88b5-c10263939558 · outbound

This paper cites Illinois Journal of Mathematics , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Illinois Journal of Mathematics , volume=

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.994697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.721430Z digest=sha256:b8627d914abe1ea2dc2b93ea9854db67a8a2be0a1c41d827332dc1ad0b3b1f94

Observation 9a010937-cdde-4732-bf96-7c72b430f621 · outbound

This paper cites Theory of Probability and Its Applications , volume=.

Product sets in sets of returns and positivity of symmetric ergodic averages Theory of Probability and Its Applications , volume=

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.976319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.726238Z digest=sha256:90ff540e6c83e5ee983e123ddc4425ab1102a0369c9f695462cbc3f4453a63dd

Observation b4bcad1c-ecb9-4400-8936-fab836210429 · outbound

This paper cites 1990 , publisher=.

Product sets in sets of returns and positivity of symmetric ergodic averages 1990 , publisher=

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.956944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.732101Z digest=sha256:2386018d33e10377499d0d10285a0428396820e894d96699da87f04e85b1717e

Observation 760a6da1-c421-41d4-965a-a8fcbe3513a9 · outbound

This paper cites Les fonctions de type positif et la th.

Product sets in sets of returns and positivity of symmetric ergodic averages Les fonctions de type positif et la th

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.939020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.737275Z digest=sha256:b27d7b3332304c1eb230dd9af56aecda38176774650251245ff8f687c1812599

Observation 1a5f0142-8270-4105-9b3c-db100af6b12d · outbound

This paper cites (No Title) , year=.

Product sets in sets of returns and positivity of symmetric ergodic averages (No Title) , year=

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.921958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.742972Z digest=sha256:c06ae068538e72d3be347070c6c809da0d88580af1ec64482cbc19425af7a679

Observation 2d6f52b7-b2a2-46a1-aa7a-3255d9a6da65 · outbound

This paper cites 2016 , publisher=.

Product sets in sets of returns and positivity of symmetric ergodic averages 2016 , publisher=

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:14.748152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.748152Z digest=sha256:03aabd733a13abe432f0fd170f816b10573783a66b245d30178ef634693cab67

Observation 2a7b7672-1864-411b-b44a-cb378c5f631f · outbound

This paper cites Sets of recurrence and generalized polynomials , BOOKTITLE =.

Product sets in sets of returns and positivity of symmetric ergodic averages Sets of recurrence and generalized polynomials , BOOKTITLE =

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:08:14.892495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.753368Z digest=sha256:7663d750a6e1b1bb3b183238fe2f3a5030741d0e2967905f3122245b1633bc43

Observation 6aecdcb3-ae01-48c9-b588-4eab26412516 · outbound

This paper cites Israel J.

Product sets in sets of returns and positivity of symmetric ergodic averages Israel J

Reference 46

Resolution
verified exact
doi, observed 2026-08-15T15:08:14.841920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.759498Z digest=sha256:a64a16beca14bc28b1b32938ba322bf8e2a1384f1e2538368625da4eeaf11db0

Observation 1a14929c-1e84-4a0b-a0c9-ebde158caae8 · outbound

This paper cites , TITLE =.

Product sets in sets of returns and positivity of symmetric ergodic averages , TITLE =

Reference 47

Resolution
verified exact
doi, observed 2026-08-15T15:08:14.823255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:08:14.764970Z digest=sha256:b89efc65cdf6915ba6e698c56577c479cb4ea636debf230439c134967e6ed8cf

Observation 167c7317-798b-48bf-9dd9-74a075c96704 · outbound

This paper cites and Weiss, Benjamin , TITLE =.

Product sets in sets of returns and positivity of symmetric ergodic averages and Weiss, Benjamin , TITLE =

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:14.769847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:08:14.769847Z digest=sha256:df4b72038092318722e46cd824a15b2dbc87730f8205a569815fb5c81a296dab

Pith citing papers

No inbound Pith citation observations are available.