Paper Citation Record · LEDGER

Permutation-Free High-Order Interaction Tests

As of 21 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2506.05963.

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

pith.paper-citation-record.v1
2506.05963 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:19:43.795637Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

51 of 51 outbound references displayed

verified exact1
verified fuzzy37
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6fbea2d8-06d1-416d-a416-c0a0e14f3073 · outbound

This paper cites an unresolved cited work.

Permutation-Free High-Order Interaction Tests Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:50.693143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ea0309a-14e3-4260-a44e-818ff522f09f · outbound

This paper cites L., Petri, G., and Expert, P.

Permutation-Free High-Order Interaction Tests L., Petri, G., and Expert, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:50.480072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8bb57c80-8db1-4c46-bc93-b31a439c58f0 · outbound

This paper cites Networks beyond pairwise interactions: structure and dynamics.

Permutation-Free High-Order Interaction Tests Networks beyond pairwise interactions: structure and dynamics

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:50.243163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d9a61a89-9ed4-4615-ac51-346054a06169 · outbound

This paper cites The physics of higher-order interactions in complex systems.

Permutation-Free High-Order Interaction Tests The physics of higher-order interactions in complex systems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:50.063936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed72f21b-113a-4536-ad75-6787b659b9a3 · outbound

This paper cites R., Gleich, D.

Permutation-Free High-Order Interaction Tests R., Gleich, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.934406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 756134c9-cdd1-4b52-92d7-a09f60cae986 · outbound

This paper cites A., and Schaub, M.

Permutation-Free High-Order Interaction Tests A., and Schaub, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.834225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a28b03a8-d42d-421d-a15d-a35941c8ffb3 · outbound

This paper cites Demystifying MMD GANs.

Permutation-Free High-Order Interaction Tests Demystifying MMD GANs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.059143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66e7e149-10d5-40d9-9845-eae763cba32f · outbound

This paper cites Dependence and dependence structures: estimation and visualization using the unifying concept of distance multivariance.

Permutation-Free High-Order Interaction Tests Dependence and dependence structures: estimation and visualization using the unifying concept of distance multivariance

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.759355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3eace2bd-95bc-4ae2-8e68-fd195808368d · outbound

This paper cites and Zhang, X.

Permutation-Free High-Order Interaction Tests and Zhang, X

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.637260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ac62d4a-ae21-4f81-a59d-150317f7ffec · outbound

This paper cites and Gretton, A.

Permutation-Free High-Order Interaction Tests and Gretton, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.535555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e73e7832-1ecf-4903-a178-c4a22d79388a · outbound

This paper cites Unifying Feature-Based Explanations with Functional ANOVA and Cooperative Game Theory.

Permutation-Free High-Order Interaction Tests Unifying Feature-Based Explanations with Functional ANOVA and Cooperative Game Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.132487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7691a3e-9dd6-4a6b-a411-5b8f3d13687d · outbound

This paper cites A kernel statistical test of independence.

Permutation-Free High-Order Interaction Tests A kernel statistical test of independence

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.435938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 01ae2b25-8b8f-4edf-9fe2-209c36e5b63a · outbound

This paper cites J., and Allesina, S.

Permutation-Free High-Order Interaction Tests J., and Allesina, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.301592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8dc2c87e-0e2a-47da-82fc-12a3a24160ef · outbound

This paper cites and Oja, E.

Permutation-Free High-Order Interaction Tests and Oja, E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.175079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5ad957f3-1bae-445e-858c-78a98894abbe · outbound

This paper cites and Ramdas, A.

Permutation-Free High-Order Interaction Tests and Ramdas, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.255199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b69dfd4-fc37-498e-9307-97ffff5e9472 · outbound

This paper cites The Chi-Squared Distribution.

Permutation-Free High-Order Interaction Tests The Chi-Squared Distribution

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:49.064764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f6c1dfc8-7b9d-42a6-a743-bcd84d4601b7 · outbound

This paper cites u gelgen, J., Park, J., Sch \.

Permutation-Free High-Order Interaction Tests u gelgen, J., Park, J., Sch \

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:48.946483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69374436-cf21-4e90-aa2d-376e516db634 · outbound

This paper cites L., Laumann, F., Vallejo Mengod, S., and Barahona, M.

Permutation-Free High-Order Interaction Tests L., Laumann, F., Vallejo Mengod, S., and Barahona, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:48.775554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb7c10de-2c4a-4740-86a4-e06ec29c3b4f · outbound

This paper cites L., Mediano, P.

Permutation-Free High-Order Interaction Tests L., Mediano, P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:48.637109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3995524d-d0af-4dfe-9e76-b0f7b9636d33 · outbound

This paper cites an unresolved cited work.

Permutation-Free High-Order Interaction Tests Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:48.486393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c4b8ca6-e761-43c8-9a07-58e443e61c72 · outbound

This paper cites Learning transferable features with deep adaptation networks.

Permutation-Free High-Order Interaction Tests Learning transferable features with deep adaptation networks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.518959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c9ebbfe-1345-4491-83e9-c0177d65ee57 · outbound

This paper cites I., and Yosef, N.

Permutation-Free High-Order Interaction Tests I., and Yosef, N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:48.332073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ab77c49-5f5b-4aee-9e50-a6dae46cdf14 · outbound

This paper cites E., Peach, R., Mallas, E.-J., Rhodes, E., Laumann, F., Boyden, E.

Permutation-Free High-Order Interaction Tests E., Peach, R., Mallas, E.-J., Rhodes, E., Laumann, F., Boyden, E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:48.161893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e85e6397-3670-4a42-a17f-e140225e9c9c · outbound

This paper cites an unresolved cited work.

Permutation-Free High-Order Interaction Tests Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:47.976687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d0254989-faee-4e86-b1ec-f3e969cad29c · outbound

This paper cites Kernel mean embedding of distributions: A review and beyond.

Permutation-Free High-Order Interaction Tests Kernel mean embedding of distributions: A review and beyond

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.804866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7951f89-5a8d-4df0-bd52-f4a1615068c6 · outbound

This paper cites shapiq: Shapley interactions for machine learning.

Permutation-Free High-Order Interaction Tests shapiq: Shapley interactions for machine learning

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.863175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dad5ba3e-e3f3-4a8f-b251-ec324b72a6f4 · outbound

This paper cites Scikit-learn: Machine learning in P ython.

Permutation-Free High-Order Interaction Tests Scikit-learn: Machine learning in P ython

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:41.885508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcfaedce-bd0e-4d40-bf3c-b3881cf5446e · outbound

This paper cites M., Janzing, D., and Sch\" o lkopf, B.

Permutation-Free High-Order Interaction Tests M., Janzing, D., and Sch\" o lkopf, B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.706172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e979147-30c4-42cd-96e9-bc27ddd13d9c · outbound

This paper cites u hlmann, P., Sch \.

Permutation-Free High-Order Interaction Tests u hlmann, P., Sch \

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.523553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b78c8029-4e80-4a6a-83fd-4b1251bd01ab · outbound

This paper cites Copula-based kernel dependency measures.

Permutation-Free High-Order Interaction Tests Copula-based kernel dependency measures

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.378104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 16a90636-de16-48a6-8df8-44f1a098a5f9 · outbound

This paper cites Consistency of permutation tests of independence using distance covariance, hsic and dhsic.

Permutation-Free High-Order Interaction Tests Consistency of permutation tests of independence using distance covariance, hsic and dhsic

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.224359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db35a620-2d79-49bc-953c-025c525de19d · outbound

This paper cites E., Mediano, P.

Permutation-Free High-Order Interaction Tests E., Mediano, P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:47.093430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 38f4dbfa-245e-4b85-a7c0-d9c82048599e · outbound

This paper cites E., Mediano, P.

Permutation-Free High-Order Interaction Tests E., Mediano, P

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.870724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c12988b0-e2dd-45df-a5ee-b088fe3fe288 · outbound

This paper cites Characterising high-order interdependence via entropic conjugation.

Permutation-Free High-Order Interaction Tests Characterising high-order interdependence via entropic conjugation

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fceb0bcb-832e-40a6-bab5-6bdb02ff56c9 · outbound

This paper cites A Kernel Test for Three-Variable Interactions with Random Processes.

Permutation-Free High-Order Interaction Tests A Kernel Test for Three-Variable Interactions with Random Processes

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:19:44.008901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 705e1830-4e3f-4e43-b339-57dcbdefa35d · outbound

This paper cites Higher-order organization of multivariate time series.

Permutation-Free High-Order Interaction Tests Higher-order organization of multivariate time series

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.713179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64bf7a2a-a255-4fbe-bad2-29344ae0e888 · outbound

This paper cites Higher-order connectomics of human brain function reveals local topological signatures of task decoding, individual identification, and behavior.

Permutation-Free High-Order Interaction Tests Higher-order connectomics of human brain function reveals local topological signatures of task decoding, individual identification, and behavior

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.600423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 004822d9-9301-4e27-a4ce-9aa2a7870f39 · outbound

This paper cites T., Benson, A.

Permutation-Free High-Order Interaction Tests T., Benson, A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.463324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 239da261-f4a1-4565-918f-0477ef13b931 · outbound

This paper cites J., Bialek, W., et al.

Permutation-Free High-Order Interaction Tests J., Bialek, W., et al

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.305435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d8938736-34f5-4913-a862-6fca0994fae3 · outbound

This paper cites A kernel test for three-variable interactions.

Permutation-Free High-Order Interaction Tests A kernel test for three-variable interactions

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:46.108809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58544096-e097-4c64-8baf-c21a4532d561 · outbound

This paper cites Equivalence of distance-based and rkhs-based statistics in hypothesis testing.

Permutation-Free High-Order Interaction Tests Equivalence of distance-based and rkhs-based statistics in hypothesis testing

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:45.887530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a9086eac-dc98-4fcf-8f4f-f71ab62bf9c8 · outbound

This paper cites A permutation-free kernel two-sample test.

Permutation-Free High-Order Interaction Tests A permutation-free kernel two-sample test

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:45.732898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64f56011-b412-46f9-a938-72d245c30894 · outbound

This paper cites A permutation-free kernel independence test.

Permutation-Free High-Order Interaction Tests A permutation-free kernel independence test

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:45.519805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62c64ca7-2204-4e5e-b1ca-786654959f00 · outbound

This paper cites an unresolved cited work.

Permutation-Free High-Order Interaction Tests Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:45.368093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fcd6cc33-85ae-42ac-86ab-9ed5e49d0f41 · outbound

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Permutation-Free High-Order Interaction Tests Feature selection via dependence maximization

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:45.199678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d1cc2466-6c21-48f9-b391-76a89fc96bcc · outbound

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Permutation-Free High-Order Interaction Tests Lancaster interactions revisited

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:45.032903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19c4c3a3-a5ea-471b-90ab-071d59a73868 · outbound

This paper cites The low-rank hypothesis of complex systems.

Permutation-Free High-Order Interaction Tests The low-rank hypothesis of complex systems

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:44.928458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6658c347-471c-49d0-84f5-61381fef4e07 · outbound

This paper cites an unresolved cited work.

Permutation-Free High-Order Interaction Tests Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:44.735139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d63afa41-1f93-4e70-a7ba-2b8a308e4c74 · outbound

This paper cites Kernel-based conditional independence test and application in causal discovery.

Permutation-Free High-Order Interaction Tests Kernel-based conditional independence test and application in causal discovery

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:44.529029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 96434a67-ca0b-4b2f-a052-c04b33763b79 · outbound

This paper cites Large-scale kernel methods for independence testing.

Permutation-Free High-Order Interaction Tests Large-scale kernel methods for independence testing

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:44.366399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 609375f1-84ba-4583-b574-1f5215f92c00 · outbound

This paper cites write newline.

Permutation-Free High-Order Interaction Tests write newline

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:43.795637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.