Paper Citation Record · LEDGER

Permutation-Based Distances for Groups and Group-Valued Time Series

As of 10 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2509.09191.

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

pith.paper-citation-record.v1
2509.09191 v1

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measured 50 of 50 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T19:41:09.227644Z

measured 50 of 50 standing notices

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Outbound references

Observation c19581bf-adec-4270-8df1-590e66988d8b · outbound

This paper cites A review of symbolic dynamics and symbolic reconstruction of dynamical systems.

Permutation-Based Distances for Groups and Group-Valued Time Series A review of symbolic dynamics and symbolic reconstruction of dynamical systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:06.686831Z

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Observation 17b7f5c8-c296-4b24-bde1-6ba0193e0ef6 · outbound

This paper cites Permutation Entropy: A Natural Complexity Measure for Time Series.Phys.

Permutation-Based Distances for Groups and Group-Valued Time Series Permutation Entropy: A Natural Complexity Measure for Time Series.Phys

Reference 2

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Observation e58bdaf4-2e0c-40c7-b6d1-7cfa5c214305 · outbound

This paper cites Symbolic analysis of high dimensional time series.Int.

Permutation-Based Distances for Groups and Group-Valued Time Series Symbolic analysis of high dimensional time series.Int

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:06.821479Z

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Observation f388ce18-b45f-4294-9262-e9d977cf45b4 · outbound

This paper cites Ordinal pattern statistics for the assessment of heart rate variability.Eur.

Permutation-Based Distances for Groups and Group-Valued Time Series Ordinal pattern statistics for the assessment of heart rate variability.Eur

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:06.886862Z

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Observation 9c83eac3-fb70-4df2-a22e-0b54632ddffb · outbound

This paper cites Spatiotemporal permutation entropy as a measure for complexity of cardiac arrhythmia.Front.

Permutation-Based Distances for Groups and Group-Valued Time Series Spatiotemporal permutation entropy as a measure for complexity of cardiac arrhythmia.Front

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:06.946921Z

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Observation 5b72f54a-094b-4e7b-a951-b244c678df0c · outbound

This paper cites Distinguishing noise from chaos.Phys.

Permutation-Based Distances for Groups and Group-Valued Time Series Distinguishing noise from chaos.Phys

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.033390Z

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Observation 9e4f01a1-bd09-4ad0-b1f0-6a1854cd969d · outbound

This paper cites True and false forbidden patterns in deterministic and random dynamics.Europhys.

Permutation-Based Distances for Groups and Group-Valued Time Series True and false forbidden patterns in deterministic and random dynamics.Europhys

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.147405Z

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Observation c2d4c03d-8bac-4795-810c-3ece5cba0afd · outbound

This paper cites Characterizing synchronization in time series using information measures extracted from symbolic representations.Phys.

Permutation-Based Distances for Groups and Group-Valued Time Series Characterizing synchronization in time series using information measures extracted from symbolic representations.Phys

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.205845Z

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Observation 1552bcbc-01fb-4ff1-b253-81d0b87e3ee8 · outbound

This paper cites Identification of equivalent dynamics using ordinal pattern distribution.Eur.

Permutation-Based Distances for Groups and Group-Valued Time Series Identification of equivalent dynamics using ordinal pattern distribution.Eur

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.293932Z

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Observation fea9cc5b-e425-4618-b4cb-7ad3d480094d · outbound

This paper cites Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics.Chaos2022,32, 093107.

Permutation-Based Distances for Groups and Group-Valued Time Series Non-parametric tests for serial dependence in time series based on asymptotic implementations of ordinal-pattern statistics.Chaos2022,32, 093107

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.361998Z

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Observation 541a918c-2a07-4cf4-be58-18785a45ef95 · outbound

This paper cites Non-parametric analysis of serial dependence in time series using ordinal patterns.Comput.

Permutation-Based Distances for Groups and Group-Valued Time Series Non-parametric analysis of serial dependence in time series using ordinal patterns.Comput

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.444201Z

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Observation 87d3d5ed-515a-49f1-93d6-88d48d745a14 · outbound

This paper cites Recent Progress in Symbolic Dynamics and Permutation Complexity.Eur.

Permutation-Based Distances for Groups and Group-Valued Time Series Recent Progress in Symbolic Dynamics and Permutation Complexity.Eur

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.500427Z

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Observation ae61b1f2-932a-41ad-974d-39f2e00f8df0 · outbound

This paper cites 20 Years of Ordinal Patterns: Perspectives and challenges.Eur.

Permutation-Based Distances for Groups and Group-Valued Time Series 20 Years of Ordinal Patterns: Perspectives and challenges.Eur

Reference 13

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Observation 612a4372-ec6a-4b0b-b78b-4ffac5d75e43 · outbound

This paper cites Ordinal methods: Concepts, applications, new developments, and challenges.Chaos 2023,33, 080401.

Permutation-Based Distances for Groups and Group-Valued Time Series Ordinal methods: Concepts, applications, new developments, and challenges.Chaos 2023,33, 080401

Reference 14

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Observation 88ae4907-19ea-4867-b9af-63a4b3bf79cb · outbound

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 15

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Observation 1b954eab-f50b-4a13-a46f-ec8fc922c405 · outbound

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 16

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Observation 05428b8d-50a3-4b0a-ae9e-1c3895dba8b1 · outbound

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 17

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Observation eddfd6db-6c8c-44ea-a8b3-d3c7ef1a011d · outbound

This paper cites New Approaches in Ordinal Pattern Representations for Multivariate Time Series.

Permutation-Based Distances for Groups and Group-Valued Time Series New Approaches in Ordinal Pattern Representations for Multivariate Time Series

Reference 18

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Observation 3f580633-8ea6-4b06-8c93-58b9f494aca2 · outbound

This paper cites Permutation entropy: One concept, two approaches.Eur.

Permutation-Based Distances for Groups and Group-Valued Time Series Permutation entropy: One concept, two approaches.Eur

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:07.957984Z

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Observation 00ec88d3-a9af-4187-931a-780912543789 · outbound

This paper cites Complexity-entropy causality plane as a complexity measure for two-dimensional patterns.PLoS One2012,7, e40689.

Permutation-Based Distances for Groups and Group-Valued Time Series Complexity-entropy causality plane as a complexity measure for two-dimensional patterns.PLoS One2012,7, e40689

Reference 20

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Observation 0acf3d6c-3258-42ad-b1f1-91ffb14d9dc5 · outbound

This paper cites Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane.Chaos Solitons Fractals2016,91, 679–688.

Permutation-Based Distances for Groups and Group-Valued Time Series Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane.Chaos Solitons Fractals2016,91, 679–688

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:08.041456Z

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Observation 65582974-0716-4a53-9144-2d1b884fc062 · outbound

This paper cites Two new parameters for the ordinal analysis of images.Chaos2023,33, 043124.

Permutation-Based Distances for Groups and Group-Valued Time Series Two new parameters for the ordinal analysis of images.Chaos2023,33, 043124

Reference 22

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Observation 56554149-93dd-4f33-b552-c581907b97b9 · outbound

This paper cites Metrics on permutations: A survey.J.

Permutation-Based Distances for Groups and Group-Valued Time Series Metrics on permutations: A survey.J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:08.112947Z

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Observation d05a4e5f-d388-4c2e-baad-8c8613f04ec7 · outbound

This paper cites Improving the Gilbert-Varshamov bound for permutation Codes in the Cayley metric and Kendall $\tau$-Metric.

Permutation-Based Distances for Groups and Group-Valued Time Series Improving the Gilbert-Varshamov bound for permutation Codes in the Cayley metric and Kendall $\tau$-Metric

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:08.156284Z

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Observation 57b2026c-7511-4e7d-8a5b-a31dbcb0dc5b · outbound

This paper cites A new measure of rank correlation.Biometrika1938,30, 81–93.

Permutation-Based Distances for Groups and Group-Valued Time Series A new measure of rank correlation.Biometrika1938,30, 81–93

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-04T19:41:08.196830Z

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Observation 04ebfd93-f7ab-408e-a6a1-a50c03108c80 · outbound

This paper cites Distance measures based on the edit distance for permutation-type representations.J.

Permutation-Based Distances for Groups and Group-Valued Time Series Distance measures based on the edit distance for permutation-type representations.J

Reference 26

Resolution: verified exact; doi, observed 2026-08-04T19:43:26.721537Z

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Observation adb137ca-f29a-4e56-923f-da5afceab78f · outbound

This paper cites Small Order Patterns in Big Time Series: A Practical Guide.Entropy2019,21, 613.

Permutation-Based Distances for Groups and Group-Valued Time Series Small Order Patterns in Big Time Series: A Practical Guide.Entropy2019,21, 613

Reference 27

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Observation 46782a8b-e01c-4178-872d-d270f4dd85d5 · outbound

This paper cites Kendall Tau Sequence Distance: Extending Kendall Tau from Ranks to Sequences.

Permutation-Based Distances for Groups and Group-Valued Time Series Kendall Tau Sequence Distance: Extending Kendall Tau from Ranks to Sequences

Reference 28

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Observation 086b4095-306f-440c-a2c4-1fd971c0efa0 · outbound

This paper cites Minimal Permutation Representations of Finite Groups.Am.

Permutation-Based Distances for Groups and Group-Valued Time Series Minimal Permutation Representations of Finite Groups.Am

Reference 29

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Observation 6e6cebc4-362b-4eb9-89ed-cf5a95aaaa2e · outbound

This paper cites On Minimal Permutation Representations of Classical Simple Groups.Sib.

Permutation-Based Distances for Groups and Group-Valued Time Series On Minimal Permutation Representations of Classical Simple Groups.Sib

Reference 30

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Observation f55563ff-b5d9-4670-bc17-eed9d318692c · outbound

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 31

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Observation 4abab57c-0be8-46a6-8b2a-ca3f4a0fa18a · outbound

This paper cites Divergence measures based on the Shannon entropy.IEEE Trans.

Permutation-Based Distances for Groups and Group-Valued Time Series Divergence measures based on the Shannon entropy.IEEE Trans

Reference 32

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Observation 761a0e49-66b0-4c70-b61b-1ff864230df2 · outbound

This paper cites A new metric for probability distributions.IEEE Trans.

Permutation-Based Distances for Groups and Group-Valued Time Series A new metric for probability distributions.IEEE Trans

Reference 33

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Observation 37c27b40-7a18-4eb5-b4d7-9083d387f639 · outbound

This paper cites Permutation Jensen-Shannon distance: A versatile and fast symbolic tool for complex time-series analysis.Phys.

Permutation-Based Distances for Groups and Group-Valued Time Series Permutation Jensen-Shannon distance: A versatile and fast symbolic tool for complex time-series analysis.Phys

Reference 34

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Observation 3c9a292b-173f-4d9f-a110-b15dfafa07d1 · outbound

This paper cites Revisiting the Characterization of Resting Brain Dynamics with the Permutation Jensen–Shannon Distance.Entropy2024,26, 432.https://doi.org/10.3390/e26050432.

Permutation-Based Distances for Groups and Group-Valued Time Series Revisiting the Characterization of Resting Brain Dynamics with the Permutation Jensen–Shannon Distance.Entropy2024,26, 432.https://doi.org/10.3390/e26050432

Reference 35

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Observation 69b7152d-8aa9-429a-afb5-4704550b6bc4 · outbound

This paper cites Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen.J.

Permutation-Based Distances for Groups and Group-Valued Time Series Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen.J

Reference 36

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 37

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Observation 0058c854-bb77-443d-9681-1c72a8e55a99 · outbound

This paper cites An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows.

Permutation-Based Distances for Groups and Group-Valued Time Series An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

Reference 38

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 39

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Observation c6f61605-c81c-4f97-9438-823d93a385bc · outbound

This paper cites On Approximating Total Variation Distance.

Permutation-Based Distances for Groups and Group-Valued Time Series On Approximating Total Variation Distance

Reference 40

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Observation 16a85207-1f2d-42ca-bbf0-b0b66da9aee6 · outbound

This paper cites Transcripts: An algebraic approach to coupled time series.Chaos2012,22, 013105.

Permutation-Based Distances for Groups and Group-Valued Time Series Transcripts: An algebraic approach to coupled time series.Chaos2012,22, 013105

Reference 41

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Observation da12d72d-daea-4f43-ab8d-8af2dba8e300 · outbound

This paper cites Information directionality in coupled time series using transcripts.Phys.

Permutation-Based Distances for Groups and Group-Valued Time Series Information directionality in coupled time series using transcripts.Phys

Reference 42

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Observation 3efd52ed-6643-4079-be11-db446468ea75 · outbound

This paper cites Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate-blood pressure coupling quantified by entropy- based indices.Chaos2023,33, 103140.

Permutation-Based Distances for Groups and Group-Valued Time Series Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate-blood pressure coupling quantified by entropy- based indices.Chaos2023,33, 103140

Reference 43

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Observation d7f94cf0-d8b9-4924-881d-266afcba59f2 · outbound

This paper cites Error detecting and error correcting codes.Bell Syst.

Permutation-Based Distances for Groups and Group-Valued Time Series Error detecting and error correcting codes.Bell Syst

Reference 44

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Observation 631ab8e4-5c1c-4841-a2df-b6ff7a36f8aa · outbound

This paper cites A technique for computer detection and correction of spelling errors.Commun.

Permutation-Based Distances for Groups and Group-Valued Time Series A technique for computer detection and correction of spelling errors.Commun

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T19:41:08.971287Z

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Observation 880a36b6-642a-4e98-9962-14bfe8b45783 · outbound

This paper cites Binary codes capable of correcting deletions, insertions, and reversals.Sov.

Permutation-Based Distances for Groups and Group-Valued Time Series Binary codes capable of correcting deletions, insertions, and reversals.Sov

Reference 46

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 47

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Observation 72f09148-4c06-40c0-a99d-5e03bf3f338f · outbound

This paper cites Advances in record-linkage methodology as applied to matching the 1985 census of Tampa, Florida.

Permutation-Based Distances for Groups and Group-Valued Time Series Advances in record-linkage methodology as applied to matching the 1985 census of Tampa, Florida

Reference 48

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Permutation-Based Distances for Groups and Group-Valued Time Series Unresolved cited work

Reference 49

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Observation ee144cd0-95a5-4506-afd2-d18fc6584745 · outbound

This paper cites Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks.Chaos2024,34, 123156.

Permutation-Based Distances for Groups and Group-Valued Time Series Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks.Chaos2024,34, 123156

Reference 50

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