Paper Citation Record · LEDGER

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2501.18990.

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

pith.paper-citation-record.v1
2501.18990 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:48:59.714931Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:09:33.770558Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T05:09:34.109971Z

Reference resolution

42 of 42 outbound references displayed

verified exact2
verified fuzzy21
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05c0d27f-a0ea-4b61-af0f-eba20449fdef · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.627705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f528e837-700b-4442-91f6-e627e37133c9 · outbound

This paper cites Partial correlation and conditional correlation as measure of conditional independence.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Partial correlation and conditional correlation as measure of conditional independence

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.608479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c2252328-72ec-4e84-b953-4af5bd62cde3 · outbound

This paper cites Spatial interaction and the statistical analysis of lattice systems.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Spatial interaction and the statistical analysis of lattice systems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.589308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 145c152c-4d13-490a-ad63-835712f00a29 · outbound

This paper cites and Yongfeng, W.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data and Yongfeng, W

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.380665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c463560c-ef76-4666-a9d4-d356200dbcc4 · outbound

This paper cites H., Kalisch, M., and Richardson, T.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data H., Kalisch, M., and Richardson, T

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.389971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e880d24-eeaa-4348-b517-dc3ed155e340 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.544833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4dc5a2df-2516-479b-8383-5f5572ae7c06 · outbound

This paper cites t-separation and d-separation for directed acyclic graphs.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data t-separation and d-separation for directed acyclic graphs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.523973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3699934-33fe-440e-bd10-e9a3695c2385 · outbound

This paper cites A versatile causal discovery framework to allow causally-related hidden variables.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data A versatile causal discovery framework to allow causally-related hidden variables

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.498762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4014fbc3-83e5-4a12-a929-5052b32d5a11 · outbound

This paper cites A permutation-based kernel conditional independence test.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data A permutation-based kernel conditional independence test

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.428946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acda4921-4b20-4e13-98f0-49e87e6bfc25 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.456663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fea0d743-9321-4eed-a863-179c3660d676 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.436070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af4b4065-f1a0-4c9b-8554-b98b1f3d124e · outbound

This paper cites probable error.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data probable error

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.417037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1331c0a3-5ec0-4d22-a9da-4377e47bead5 · outbound

This paper cites Kernel measures of conditional dependence.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Kernel measures of conditional dependence

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.400425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8577ee9e-5c30-4462-b7de-c184c9f4f7dd · outbound

This paper cites A kernel statistical test of independence.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data A kernel statistical test of independence

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.383044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0adf0063-e27b-467c-b084-90f132de58ec · outbound

This paper cites Relations between two sets of variates.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Relations between two sets of variates

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.362456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95cb5749-6498-4d53-a916-9fb61002998e · outbound

This paper cites Causal discovery from heterogeneous/nonstationary data.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Causal discovery from heterogeneous/nonstationary data

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.495773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 326c6261-05e9-429f-8bae-29c37b994045 · outbound

This paper cites Latent Hierarchical Causal Structure Discovery with Rank Constraints.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Latent Hierarchical Causal Structure Discovery with Rank Constraints

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-09T21:48:59.835751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b01afb6f-5291-4ae1-8448-03de81251927 · outbound

This paper cites U., Ulvenes, P.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data U., Ulvenes, P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.323692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bac42cc8-f4ed-431f-8ca9-19e5d134c1ba · outbound

This paper cites Essai sur la g \'e om \'e trie \`a n dimensions.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Essai sur la g \'e om \'e trie \`a n dimensions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.304141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f31ed424-619f-40fe-97fb-f0b0913da357 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.284020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e639f0de-03b2-4c2a-9e62-fb95edb7e269 · outbound

This paper cites and Friedman, N.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data and Friedman, N

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.547821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aae7224a-498e-422d-a8f3-80b8eee52ace · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.250829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ccdf4801-b614-4178-816a-965459f3246e · outbound

This paper cites and Press, S.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data and Press, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.233422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 23a3ac15-f326-46df-bb5a-5c3dde789d5f · outbound

This paper cites Maximum likelihood estimation of the polychoric correlation coefficient.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Maximum likelihood estimation of the polychoric correlation coefficient

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.216284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da7fa04a-bc1f-47ee-8292-a97403b14637 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.198672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7aee2c02-4aef-49ec-864b-013f052a1c6d · outbound

This paper cites Probabilistic reasoning in intelligent systems: Networks of plausible inference.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Probabilistic reasoning in intelligent systems: Networks of plausible inference

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.181888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1aad947f-0837-49d0-baf9-57dfbcbfd52e · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.162394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fbc63f07-89c7-4e8f-862a-2683f6a88674 · outbound

This paper cites and Salmaso, L.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data and Salmaso, L

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.139594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 43976bb4-d5f6-4c64-af34-8c53d832a79f · outbound

This paper cites A Scalable Conditional Independence Test for Nonlinear, Non-Gaussian Data.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data A Scalable Conditional Independence Test for Nonlinear, Non-Gaussian Data

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.609411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d33e92d-1edb-43c9-a873-97a42c88cf79 · outbound

This paper cites A discovery algorithm for directed cyclic graphs.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data A discovery algorithm for directed cyclic graphs

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.113028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a2d16984-060b-4a50-b388-84304ba2ef41 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.091590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b585266-119d-448b-b4ba-6b038a5ea185 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:49:00.071240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a0bdeb2b-96cd-4af9-a8f9-1ee7f62c6d0b · outbound

This paper cites Learning the structure of linear latent variable models.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Learning the structure of linear latent variable models

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:49:00.040763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c0dd3f74-0961-4143-b76e-5f151a623a20 · outbound

This paper cites Calculation of entailed rank constraints in partially non-linear and cyclic models.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Calculation of entailed rank constraints in partially non-linear and cyclic models

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:48:59.995440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7900745b-caae-4fc3-8a41-72b41475df30 · outbound

This paper cites and Glymour, C.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data and Glymour, C

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.657312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 127bae6f-8c2b-4c6e-8d6a-2bd7fced6297 · outbound

This paper cites Causal inference in the presence of latent variables and selection bias.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Causal inference in the presence of latent variables and selection bias

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:48:59.960702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ad0e493f-294e-4c0f-a173-81b5fded66dd · outbound

This paper cites N., Scheines, R., and Heckerman, D.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data N., Scheines, R., and Heckerman, D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:48:59.940966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d2302134-9db6-434a-875a-87030b66e85c · outbound

This paper cites Trek separation for Gaussian graphical models.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Trek separation for Gaussian graphical models

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-09T21:48:59.780161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1764dd9-c363-492f-a982-2b10eaad5078 · outbound

This paper cites an unresolved cited work.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:48:59.918303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 41b9ffba-39d3-4bd2-9b3f-398eb04b0907 · outbound

This paper cites M., Renaud, O., Smith, S.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data M., Renaud, O., Smith, S

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:48:59.894873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7e4f8b4-da33-40b8-93d8-3ad317b33f88 · outbound

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

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data Kernel-based conditional independence test and application in causal discovery

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:48:59.871237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a03a2a98-6dae-4f53-9862-39e7216e657e · outbound

This paper cites write newline.

Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data write newline

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-09T21:48:59.714931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 5fc87c0e-a829-4c43-8085-576bb692607b · inbound

Conditional Independence Tests for Constraint-Based Causal Discovery: A Survey cites this paper.

Conditional Independence Tests for Constraint-Based Causal Discovery: A Survey Permutation-Based Rank Test in the Presence of Discretization and Application in Causal Discovery with Mixed Data

Reference 2016

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:09:34.115146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.