Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:08:14.769847Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:08:14.769847Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1436ca92-2c9c-4133-bcee-84b618d1f23c · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Sets of recurrence of
Reference 1
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.
Observation 7f3fba6f-383d-43c4-8ebd-5d23d067f6bf · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Handbook of dynamical systems , volume=
Reference 2
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.
Observation cc713c66-b56c-455c-9b70-e26a9126baf8 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Israel Journal of Mathematics , volume=
Reference 3
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.
Observation 1e5dbfd6-bc73-42ae-8f0c-43a1465a2792 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic theorems for polynomials in nilpotent groups
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1db32341-c0ac-458e-abb5-8d72083ad01e · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages A nilpotent
Reference 5
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.
Observation ffaacb2a-aa33-484e-b11e-1b28164c2cd7 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages An inverse of
Reference 6
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.
Observation 0a0ed659-0818-473c-ac2a-bbd006bf5d4c · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Topology Proceedings , volume=
Reference 7
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.
Observation 111fca0e-41bb-4c2d-9b22-80688f5a4975 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages The smallest ideals in the two natural products on
Reference 8
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.
Observation 87499abd-aa05-4816-84fc-5844c58bf28b · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2016 , PAGES =
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e3e53d5-cbc7-4d00-9a6c-bf0d683cb4c1 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=
Reference 10
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.
Observation 0b4eff75-c51e-43ce-8847-fcf2b26bab75 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Israel Journal of Mathematics , volume=
Reference 11
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.
Observation ff738659-91a5-43b1-9eaf-78ed176beaff · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages An ergodic IP polynomial Szemer
Reference 12
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.
Observation 47ea3182-410f-45e0-afa2-80f0529cf0de · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Journal d'Analyse Math
Reference 13
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.
Observation c0f9da54-a344-4106-aa42-f17847f3f55b · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=
Reference 14
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.
Observation 264b4aa2-9c17-490d-a878-54832ba2a39f · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Ergodic Theory and Dynamical Systems , volume=
Reference 15
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.
Observation 1c47da8e-01cc-4521-939b-920a0522a03a · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Journal of number theory , volume=
Reference 16
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.
Observation 69b8009e-03cf-4703-8900-b514966c8530 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Amenability of groups and
Reference 17
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.
Observation 663e8da5-78ad-4243-b99f-c4c699099f84 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Advances in Mathematics , volume=
Reference 18
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.
Observation f2ce5544-dc2b-4ee4-b91e-3b4d8951e099 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages A generalization of
Reference 19
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.
Observation 1f71ddb6-640f-4326-bd35-905c72e95198 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Summenmengen in lokalkompakten abelschen
Reference 20
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.
Observation 8ed59e12-ec2b-4374-9653-45353b49070b · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Journal d'Analyse Math
Reference 21
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.
Observation 16edcd84-25aa-4e2c-a0d3-8d561dd0be31 · outbound
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
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.
Observation 002bdd23-4fae-4163-ba2c-426ad5531f8a · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 1992 , publisher=
Reference 23
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.
Observation bc1c37fe-d9da-4f87-b076-e0d20bf7b0d1 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2017 , publisher=
Reference 24
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.
Observation e531e04b-b50b-4afb-846d-d7aae596e788 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2002 , publisher=
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d213b88c-b011-42f9-9dda-896b4ab8c7c8 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work
Reference 26
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.
Observation e817422e-47ff-41db-a639-d9497d359b3d · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work
Reference 27
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.
Observation 9b5acea1-528f-4de0-bed0-94c64eac292e · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2000 , publisher=
Reference 28
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.
Observation af5c48a8-29d2-4385-9766-659359dec519 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Transactions of the American Mathematical Society , volume=
Reference 29
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.
Observation 164f135b-6584-4cc5-ad38-0d3ec67c2557 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Journal of Combinatorial Theory, Series A , volume=
Reference 30
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.
Observation 93575c0a-f9a1-483c-9470-f6c4eb628452 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Unresolved cited work
Reference 31
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.
Observation f6ff8e20-6afd-4543-9b2a-11d71eedaba4 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Amenability , series=
Reference 32
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.
Observation bdd40bdf-655f-412a-820e-5c90a618ba19 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Izvestiya Akademii Nauk SSSR
Reference 33
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.
Observation f4e45a9e-5830-4861-97d0-d6305bbd94f4 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Journal f\"ur die reine und angewandte Mathematik , volume =
Reference 34
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.
Observation 14ad80b9-bf50-431d-9e36-2794c4336cc1 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Inventiones Mathematicae , volume=
Reference 35
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.
Observation 0bef9350-1aa0-4332-a798-5cfc9a3a4d03 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages I , author=
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 382222ca-90a8-4ae7-95c7-e105029432eb · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages A note on the
Reference 37
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.
Observation 8a55e735-2b29-4841-acfe-6e6e4a8ad6a1 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2012 , publisher=
Reference 38
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.
Observation 30f4a384-efc3-4458-88b5-c10263939558 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Illinois Journal of Mathematics , volume=
Reference 39
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.
Observation 9a010937-cdde-4732-bf96-7c72b430f621 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Theory of Probability and Its Applications , volume=
Reference 40
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.
Observation b4bcad1c-ecb9-4400-8936-fab836210429 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 1990 , publisher=
Reference 41
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.
Observation 760a6da1-c421-41d4-965a-a8fcbe3513a9 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Les fonctions de type positif et la th
Reference 42
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.
Observation 1a5f0142-8270-4105-9b3c-db100af6b12d · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages (No Title) , year=
Reference 43
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.
Observation 2d6f52b7-b2a2-46a1-aa7a-3255d9a6da65 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages 2016 , publisher=
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a7b7672-1864-411b-b44a-cb378c5f631f · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Sets of recurrence and generalized polynomials , BOOKTITLE =
Reference 45
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.
Observation 6aecdcb3-ae01-48c9-b588-4eab26412516 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages Israel J
Reference 46
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.
Observation 1a14929c-1e84-4a0b-a0c9-ebde158caae8 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages , TITLE =
Reference 47
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.
Observation 167c7317-798b-48bf-9dd9-74a075c96704 · outbound
Product sets in sets of returns and positivity of symmetric ergodic averages and Weiss, Benjamin , TITLE =
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.