Paper Citation Record · LEDGER

Distinguishing Cause from Effect with Causal Velocity Models

As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2502.05122.

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

pith.paper-citation-record.v1
2502.05122 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:14:12.281700Z

measured 45 of 45 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 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

45 of 45 outbound references displayed

verified exact0
verified fuzzy32
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8807a8d4-1505-42e3-8b32-1872f879cde6 · outbound

This paper cites write newline.

Distinguishing Cause from Effect with Causal Velocity Models write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T20:14:12.055845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37688618-6d39-45b3-add1-723cc13c8e5b · outbound

This paper cites and Vanden-Eijnden, E.

Distinguishing Cause from Effect with Causal Velocity Models and Vanden-Eijnden, E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:13.133173Z

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.

Observation f0b59e3a-fb0e-40cc-ac2e-29045dd75013 · outbound

This paper cites Random Dynamical Systems.

Distinguishing Cause from Effect with Causal Velocity Models Random Dynamical Systems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:13.116734Z

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.

Observation 4dbf642e-58f0-405e-9948-734ab4a7bc3b · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:13.100167Z

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.

Observation f27fa0fa-74fc-4cd8-8691-eafd9d2d3b81 · outbound

This paper cites o baum, P., Janzing, D., Washio, T., Shimizu, S., and Sch \.

Distinguishing Cause from Effect with Causal Velocity Models o baum, P., Janzing, D., Washio, T., Shimizu, S., and Sch \

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:13.083955Z

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.

Observation 21d2affd-ea44-4ddb-a8e0-76160c11d5c7 · outbound

This paper cites J., Leary, C., Maclaurin, D., Necula, G., Paszke, A., Vander P las, J., Wanderman- M ilne, S., and Zhang, Q.

Distinguishing Cause from Effect with Causal Velocity Models J., Leary, C., Maclaurin, D., Necula, G., Paszke, A., Vander P las, J., Wanderman- M ilne, S., and Zhang, Q

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T20:14:12.083326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3a8b516-5fb7-4274-a30a-9f688b019708 · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:13.057185Z

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.

Observation 7829a24b-d77a-4d08-843c-8db4798dda1d · outbound

This paper cites and Bloem-Reddy, B.

Distinguishing Cause from Effect with Causal Velocity Models and Bloem-Reddy, B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T20:14:12.093869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a07ba0cf-149a-4e2c-8ad8-c6ce1c36ca0b · outbound

This paper cites Inferring deterministic causal relations.

Distinguishing Cause from Effect with Causal Velocity Models Inferring deterministic causal relations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:13.040963Z

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.

Observation f7437563-2a9a-409b-a607-e46802ebab1f · outbound

This paper cites and Nguyen, T.

Distinguishing Cause from Effect with Causal Velocity Models and Nguyen, T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:13.024616Z

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.

Observation f2ac3b7b-85b5-48e3-be82-42a4b79954fd · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:13.007943Z

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.

Observation ccc89f1f-461b-4dec-bb8a-231fabc01a3f · outbound

This paper cites Learning Bivariate Functional Causal Models, pp.\ 101--153.

Distinguishing Cause from Effect with Causal Velocity Models Learning Bivariate Functional Causal Models, pp.\ 101--153

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.992643Z

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.

Observation 7e2e6a81-895b-4b93-bb19-faa0fb979b1e · outbound

This paper cites Measuring statistical dependence with Hilbert--Schmidt norms.

Distinguishing Cause from Effect with Causal Velocity Models Measuring statistical dependence with Hilbert--Schmidt norms

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.976770Z

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.

Observation c61d7dfd-f273-4f42-9dc3-b1e8caf8628f · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:12.961363Z

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.

Observation bb31d132-993c-4c51-ac39-efdd98da397a · outbound

This paper cites M., Peters, J., and Sch \"o lkopf, B.

Distinguishing Cause from Effect with Causal Velocity Models M., Peters, J., and Sch \"o lkopf, B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.945117Z

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.

Observation 6fa0185a-b9d8-4beb-80c0-0aa56a196a86 · outbound

This paper cites o lkopf, B., B \.

Distinguishing Cause from Effect with Causal Velocity Models o lkopf, B., B \

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.929994Z

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.

Observation 9716d12d-3ff2-4d1d-b333-22f3d38304f3 · outbound

This paper cites Causal normalizing flows: from theory to practice.

Distinguishing Cause from Effect with Causal Velocity Models Causal normalizing flows: from theory to practice

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.914721Z

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.

Observation 95a77ae8-98b3-4d07-a00b-207889eff898 · outbound

This paper cites Causal D iscovery T oolbox: uncovering causal relationships in P ython.

Distinguishing Cause from Effect with Causal Velocity Models Causal D iscovery T oolbox: uncovering causal relationships in P ython

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.898024Z

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.

Observation cc74d869-57e1-440f-b14c-9c9e5bef18c1 · outbound

This paper cites Foundations of Modern Probability.

Distinguishing Cause from Effect with Causal Velocity Models Foundations of Modern Probability

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.881333Z

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.

Observation d8887710-7c8d-4c0b-859d-6edc5162a44f · outbound

This paper cites J., and Duvenaud, D.

Distinguishing Cause from Effect with Causal Velocity Models J., and Duvenaud, D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.864359Z

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.

Observation 1224886e-b3e9-4dd7-9d1f-7382c8aaa296 · outbound

This paper cites Rank-based causal discovery for post-nonlinear models.

Distinguishing Cause from Effect with Causal Velocity Models Rank-based causal discovery for post-nonlinear models

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.847738Z

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.

Observation 48d8ca1a-e4ca-44ff-9c86-9118f1c53b2c · outbound

This paper cites Causal autoregressive flows.

Distinguishing Cause from Effect with Causal Velocity Models Causal autoregressive flows

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.831052Z

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.

Observation dc0f2c7d-b5cf-45d7-94a7-50a752543596 · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:12.813374Z

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.

Observation 53185ce7-1872-49b3-b9e6-6a45c51d170e · outbound

This paper cites and Turner, R.

Distinguishing Cause from Effect with Causal Velocity Models and Turner, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.796133Z

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.

Observation dd481bde-8b96-48c6-91e3-6af5a0604501 · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:12.779283Z

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.

Observation b612f872-b7fe-48b8-bb44-95a019da5fdc · outbound

This paper cites Causal discovery with score matching on additive models with arbitrary noise.

Distinguishing Cause from Effect with Causal Velocity Models Causal discovery with score matching on additive models with arbitrary noise

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.760827Z

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.

Observation 81e7f776-0815-4361-823e-96c3de494105 · outbound

This paper cites Scalable causal discovery with score matching.

Distinguishing Cause from Effect with Causal Velocity Models Scalable causal discovery with score matching

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.744470Z

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.

Observation 01ffa676-fe17-4f25-96e5-29049613a2c9 · outbound

This paper cites Regression by dependence minimization and its application to causal inference in additive noise models.

Distinguishing Cause from Effect with Causal Velocity Models Regression by dependence minimization and its application to causal inference in additive noise models

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.727718Z

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.

Observation e3d1b7a5-150a-4929-8482-b27c1a8ba1d7 · outbound

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

Distinguishing Cause from Effect with Causal Velocity Models M., Peters, J., Janzing, D., Zscheischler, J., and Sch \"o lkopf, B

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.711800Z

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.

Observation f18932e9-4e9a-4144-9e70-386eda1e36ca · outbound

This paper cites Counterfactual identifiability of bijective causal models.

Distinguishing Cause from Effect with Causal Velocity Models Counterfactual identifiability of bijective causal models

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.695364Z

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.

Observation 2d2b58a8-b9c2-4234-bb65-edacf64ccc86 · outbound

This paper cites Causality.

Distinguishing Cause from Effect with Causal Velocity Models Causality

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-08T20:14:12.211516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4a1c72e-5c41-44e6-bb91-eb95686b2f41 · outbound

This paper cites and B \"u hlmann, P.

Distinguishing Cause from Effect with Causal Velocity Models and B \"u hlmann, P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.666274Z

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.

Observation 260c4bda-7385-41d3-a289-f444770556a7 · outbound

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

Distinguishing Cause from Effect with Causal Velocity Models M., Janzing, D., and Sch \"o lkopf, B

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.650495Z

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.

Observation d7214ec5-6bbb-4361-87f8-e4e663847b65 · outbound

This paper cites Score matching enables causal discovery of nonlinear additive noise models.

Distinguishing Cause from Effect with Causal Velocity Models Score matching enables causal discovery of nonlinear additive noise models

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.634628Z

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.

Observation 68bb1c99-a76e-4b7c-8f95-981a8ffb5a56 · outbound

This paper cites Optimal Transport for Applied Mathematicians.

Distinguishing Cause from Effect with Causal Velocity Models Optimal Transport for Applied Mathematicians

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.618798Z

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.

Observation a7b9e4bb-665e-4268-b79f-446bb13f684f · outbound

This paper cites and B \"u hlmann, P.

Distinguishing Cause from Effect with Causal Velocity Models and B \"u hlmann, P

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.601376Z

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.

Observation a298233b-c69c-4b28-bbea-bb2e0b414d83 · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-08T20:14:12.241501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cc806af-68aa-4558-b2a9-7c2a1ecb7170 · outbound

This paper cites Support Vector Machines.

Distinguishing Cause from Effect with Causal Velocity Models Support Vector Machines

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.575496Z

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.

Observation a4710c40-c422-4d67-9d43-3eae3c95afa5 · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:12.559780Z

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.

Observation a72ee4e2-43ac-49e8-a21c-35dc529938c1 · outbound

This paper cites Distinguishing cause from effect using quantiles: Bivariate quantile causal discovery.

Distinguishing Cause from Effect with Causal Velocity Models Distinguishing cause from effect using quantiles: Bivariate quantile causal discovery

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.542896Z

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.

Observation 53cd787f-fbae-4b81-a9ce-34131c34e117 · outbound

This paper cites Optimal transport for causal discovery.

Distinguishing Cause from Effect with Causal Velocity Models Optimal transport for causal discovery

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.523978Z

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.

Observation 64153a01-ba1a-4e1d-8373-54eb067fcacd · outbound

This paper cites an unresolved cited work.

Distinguishing Cause from Effect with Causal Velocity Models Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:14:12.506340Z

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.

Observation fcc4d92e-c6eb-4e5b-a3b7-44b231e9153b · outbound

This paper cites A., Marx, A., and Vreeken, J.

Distinguishing Cause from Effect with Causal Velocity Models A., Marx, A., and Vreeken, J

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.489081Z

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.

Observation 8460c9e6-64a8-4338-9f86-bbb837ee4d06 · outbound

This paper cites and Hyv \"a rinen, A.

Distinguishing Cause from Effect with Causal Velocity Models and Hyv \"a rinen, A

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.471857Z

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.

Observation 36ed8732-fd56-4a3e-83bb-cdabfafb5baf · outbound

This paper cites Nonparametric score estimators.

Distinguishing Cause from Effect with Causal Velocity Models Nonparametric score estimators

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:14:12.455027Z

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.

Pith citing papers

No inbound Pith citation observations are available.