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Paper Citation Record · LEDGER

On systems disjoint from all minimal systems

As of 23 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2504.17504.

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

pith.paper-citation-record.v1
2504.17504 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:46:47.466261Z

measured 34 of 34 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:53:07.415650Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 172becff-3c8d-4314-a648-4a0d1f4ec9a5 · outbound

This paper cites Akin, Lectures on Cantor and Mycielski sets for dynamical systems , Chapel Hill Ergodic Theory Work- shops, 21–79, Contemp.

On systems disjoint from all minimal systems Akin, Lectures on Cantor and Mycielski sets for dynamical systems , Chapel Hill Ergodic Theory Work- shops, 21–79, Contemp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.862776Z

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 cc3c9595-4d87-4c4a-8b7d-f618d346210d · outbound

This paper cites Akin and E.

On systems disjoint from all minimal systems Akin and E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.851606Z

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=pdf_text observed=2026-08-16T10:46:47.348904Z digest=sha256:e8f026edd02b7d3be3e79d27134cf13b2c574fd7946e9f584c7b7b7fec825bb5

Observation 1c52c150-6004-4ad4-b285-fa6898bc0d08 · outbound

This paper cites Akin and E.

On systems disjoint from all minimal systems Akin and E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.840117Z

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=pdf_text observed=2026-08-16T10:46:47.353163Z digest=sha256:9cf8e9dccbdc829456e404a4e4203896608efbf0d5bc281ff2ea21cb1cf6125c

Observation ddb9f9f2-6fc4-40ee-8fce-8628f941ab26 · outbound

This paper cites Auslander, Minimal flows and their extensions.

On systems disjoint from all minimal systems Auslander, Minimal flows and their extensions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.829552Z

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=pdf_text observed=2026-08-16T10:46:47.357316Z digest=sha256:dedd74c729a397e72ac1fa307cb865f5a8c7291eb4ded2f2f792b44b61de9d14

Observation aea95072-45b1-412d-8f05-8e443db97f89 · outbound

This paper cites Bauer and K.

On systems disjoint from all minimal systems Bauer and K

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.818654Z

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=pdf_text observed=2026-08-16T10:46:47.361374Z digest=sha256:52eaf4a7a338384f7fa8a8dba28a4d07189fd9b60ac75caec2a8f93958297ecd

Observation 5516ae90-e8d3-41cc-9bfc-dba9bf747051 · outbound

This paper cites Joining properties of automorphisms disjoint with all ergodic systems.

On systems disjoint from all minimal systems Joining properties of automorphisms disjoint with all ergodic systems

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-16T10:46:47.537006Z

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=pdf_text observed=2026-08-16T10:46:47.365140Z digest=sha256:5724536e1f150dcb38604a020f407556e20898f2b0565c8214b6e8471c1657f3

Observation 910a956f-4e95-4eda-a3b3-cf04540dc47a · outbound

This paper cites Bernshteyn, A short proof of Bernoulli disjointness via the local lemma , Proc.

On systems disjoint from all minimal systems Bernshteyn, A short proof of Bernoulli disjointness via the local lemma , Proc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.808242Z

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=pdf_text observed=2026-08-16T10:46:47.369284Z digest=sha256:afa2fd9d1c70fef9013fb86318daec3c0a8aa74a52cc488a342200c87cc3088f

Observation 8221de34-d597-47b2-b6fa-89bad88ddb35 · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.797304Z

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=pdf_text observed=2026-08-16T10:46:47.373318Z digest=sha256:a8637bce18ec5044d97b8c0db0d7c98a6d4e682a0a1e42f035b7d0779caacd8e

Observation 071c583b-d93f-4a64-8dc0-b544b26a28b2 · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.786327Z

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=pdf_text observed=2026-08-16T10:46:47.376946Z digest=sha256:ae952fafba9b9b57cc3570e708cb1904d211ebec106eb640670e19416b2ceb67

Observation 369d4153-a6a5-4d8b-bbef-152d17028bf9 · outbound

This paper cites Ellis and W.

On systems disjoint from all minimal systems Ellis and W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.775532Z

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=pdf_text observed=2026-08-16T10:46:47.380644Z digest=sha256:11b14e47b115ea2e5ebc3be295d775ee510cdb6a1b0d9b6486ab86e7bd7d6299

Observation fdd5f9c8-0e8c-43f0-b6bd-12b0a59abeba · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.764591Z

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=pdf_text observed=2026-08-16T10:46:47.384210Z digest=sha256:a3fdcc1c5ce1cacf583d38503d76163f1fea0bf11f035ccf0611ae7526c50624

Observation 6f74aa26-66e0-4dbf-a143-25b34af0e024 · outbound

This paper cites Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math.

On systems disjoint from all minimal systems Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.753668Z

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=pdf_text observed=2026-08-16T10:46:47.387804Z digest=sha256:2e683ac5bed97794b173699950424f22abdf27c432ef0d82ad2ed8be1e99088c

Observation 89c158c5-8d41-4abe-aa6f-456c3d6955ce · outbound

This paper cites Glasner, Compressibility properties in topological dynamics , Amer.

On systems disjoint from all minimal systems Glasner, Compressibility properties in topological dynamics , Amer

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.742494Z

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=pdf_text observed=2026-08-16T10:46:47.391827Z digest=sha256:f9b64a613edebe18c2458903f228cb1746c7292d2166b5d94df6994e2ed7950d

Observation 3c9daaac-fc4c-4201-bed0-454512d803e0 · outbound

This paper cites Glasner, Proximal flows.

On systems disjoint from all minimal systems Glasner, Proximal flows

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.731512Z

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=pdf_text observed=2026-08-16T10:46:47.395698Z digest=sha256:04c96c7b14ba6cb728da149d9b08a79e6ba7fcdcbf946a428e068c601cd1bdd0

Observation 8f33dead-cb73-41e7-a162-e056914cf0c9 · outbound

This paper cites Glasner, T opological ergodic decompositions and applications to products of powers of a minimal trans- formation, J.

On systems disjoint from all minimal systems Glasner, T opological ergodic decompositions and applications to products of powers of a minimal trans- formation, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.720535Z

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=pdf_text observed=2026-08-16T10:46:47.399508Z digest=sha256:435295559091fe93539006716f14ba004546021dbf566f1495272353cfce98e5

Observation e7fda1d2-1732-4b88-9143-2c753b7bcac0 · outbound

This paper cites Glasner, The structure of tame minimal dynamical systems , Ergodic Theory Dynam.

On systems disjoint from all minimal systems Glasner, The structure of tame minimal dynamical systems , Ergodic Theory Dynam

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.709549Z

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=pdf_text observed=2026-08-16T10:46:47.402974Z digest=sha256:e2454664642df6e3f82c8c9aaa2d35d582c5dd03d3909c4a223d2095de4271b2

Observation b213b43f-02a5-4e86-a3c2-7750156770c4 · outbound

This paper cites Glasner, T.

On systems disjoint from all minimal systems Glasner, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.699085Z

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=pdf_text observed=2026-08-16T10:46:47.406554Z digest=sha256:a10a006787e9daedfa7e1e5e5cf02f614102c9ebee498ae22fe6b8f5edd582c2

Observation 7cd541f9-eb45-4095-b523-08d8132963bb · outbound

This paper cites On the class of systems which are disjoint from every ergodic system.

On systems disjoint from all minimal systems On the class of systems which are disjoint from every ergodic system

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-16T10:46:47.410161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:46:47.410161Z digest=sha256:7d270e6b38d4b936120779f7aae72d87acd10e4c616b7e97e05c124060593956

Observation 7068d6c0-3adf-4846-8840-14642e4a816b · outbound

This paper cites On orthogonality to uniquely ergodic systems.

On systems disjoint from all minimal systems On orthogonality to uniquely ergodic systems

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T10:46:47.414099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:46:47.414099Z digest=sha256:90f1e7eb8d33e3508ad9698387338c95afbdcd4dda29d8e67ce824311a883d93

Observation 9ea1afc6-61f3-4e0e-9965-b0e325040418 · outbound

This paper cites Huang, S.

On systems disjoint from all minimal systems Huang, S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.688291Z

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=pdf_text observed=2026-08-16T10:46:47.418191Z digest=sha256:667daafd2a721f664fb36cae26b736ffc8e961638c8ff3b1b1cc0fb5b6041fb9

Observation e80c7932-c091-4dd1-bf2e-d9dd442cf3eb · outbound

This paper cites Huang, S.

On systems disjoint from all minimal systems Huang, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.677779Z

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 dab852a8-a3f6-4e06-806c-da7c155a81f9 · outbound

This paper cites Huang and X.

On systems disjoint from all minimal systems Huang and X

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.666911Z

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 e839243e-47e2-495f-87db-bfec1d5e0346 · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.655915Z

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 21a61e12-ca44-4ebf-90de-2936ecb3965a · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.643898Z

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 f4f7c0e1-9837-465b-b4fb-6d9473fe4a88 · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.632641Z

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=pdf_text observed=2026-08-16T10:46:47.436885Z digest=sha256:a5d4aa7699d6284b79436b318820ee0e41856ad8e260667e18677f7a337c1dfd

Observation cd31de54-1b80-4954-969e-615cdb7a7063 · outbound

This paper cites Kuratowski, T opology, V ol.

On systems disjoint from all minimal systems Kuratowski, T opology, V ol

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.620774Z

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=pdf_text observed=2026-08-16T10:46:47.440968Z digest=sha256:d963e7d669acd47079ee57235094614f35d2af48acfdaeede2af8266b2910daf

Observation 4e9b7d39-f886-4baf-834d-ce0e6fb1dc8f · outbound

This paper cites Kuratowski, T opology, V ol.

On systems disjoint from all minimal systems Kuratowski, T opology, V ol

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.609588Z

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=pdf_text observed=2026-08-16T10:46:47.444425Z digest=sha256:2be7a8fb134ecda3d6639e78af56d1d282010fa636f0d3b0a094c89b695ede0f

Observation b4d1159f-6318-4ef4-bea5-d7533dc41fd3 · outbound

This paper cites Oprocha, W eak mixing and product recurrence, Ann.

On systems disjoint from all minimal systems Oprocha, W eak mixing and product recurrence, Ann

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.597808Z

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=pdf_text observed=2026-08-16T10:46:47.447931Z digest=sha256:8e872cf67a5d26e1e304a13b4ee26a939b9c2f9b40c4b02bf32286c178c6852f

Observation b42f73d6-f01e-48af-86fd-72bf3586d5ec · outbound

This paper cites Oprocha, Double minimality, entropy and disjointness with all minim al systems, Discrete Contin.

On systems disjoint from all minimal systems Oprocha, Double minimality, entropy and disjointness with all minim al systems, Discrete Contin

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.585856Z

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=pdf_text observed=2026-08-16T10:46:47.451911Z digest=sha256:1df31dc1ebe91137553ab3a521527fd5b9f8b3b356382e36757db249135d8eac

Observation 5a8a7e0f-08c6-404e-a5f9-e9954814c6b8 · outbound

This paper cites Petersen, Disjointness and weak mixing of minimal sets , Proc.

On systems disjoint from all minimal systems Petersen, Disjointness and weak mixing of minimal sets , Proc

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.573860Z

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=pdf_text observed=2026-08-16T10:46:47.455615Z digest=sha256:d5c469619aa126ebebb036afd364fa72aae5107f286ec515805e9a08b455e793

Observation c505c797-2fc1-4d1a-90c2-e654a7ec79cd · outbound

This paper cites an unresolved cited work.

On systems disjoint from all minimal systems Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:46:47.561188Z

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=pdf_text observed=2026-08-16T10:46:47.459186Z digest=sha256:05e8ac4fc28bd30b9f56801bac0ec6e38c6c5e84a1269a949dc740ae630f7502

Observation b5b422d1-3dc9-4f58-b531-3224a87b2ee2 · outbound

This paper cites Walters, An introduction to ergodic theory, Graduat e Texts in Mathematics, 79.

On systems disjoint from all minimal systems Walters, An introduction to ergodic theory, Graduat e Texts in Mathematics, 79

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:46:47.549186Z

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=pdf_text observed=2026-08-16T10:46:47.462674Z digest=sha256:5fa4bb86555d3521d96b54a1644aa32bf573bdc100d4b376efe915414c636c50

Observation b26e919c-d466-4829-9eae-60a33084e811 · outbound

This paper cites Disjointness with all minimal systems under group actions.

On systems disjoint from all minimal systems Disjointness with all minimal systems under group actions

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T10:46:47.466261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:46:47.466261Z digest=sha256:2fe3d2ed1a58a8bf304bc2a8ee2f7c36d5ed7457a97afd8abde780e8af26b150

Pith citing papers

Observation e6599fa0-de95-4033-b6d7-7664f42a70c1 · inbound

On the denseness of distal points cites this paper.

On the denseness of distal points On systems disjoint from all minimal systems

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T15:53:07.415650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:53:07.415650Z digest=sha256:c89ca8f092abc4a9307e2840a243b40acd19b59283abc1c5fbc5034d4b5845b4