Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:19:43.795637Z
Paper Citation Record · LEDGER
Permutation-Free High-Order Interaction Tests
As of 8 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.
Observation 8dc2c87e-0e2a-47da-82fc-12a3a24160ef · outbound
This paper cites 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T10:19:44.177389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.
Observation fcd6cc33-85ae-42ac-86ab-9ed5e49d0f41 · outbound
This paper cites Feature selection via dependence maximization.
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 2026-08-08T06:32:00.761636+00:00.
Observation d1cc2466-6c21-48f9-b391-76a89fc96bcc · outbound
This paper cites Lancaster interactions revisited.
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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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.