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Paper Citation Record · LEDGER

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models

As of 18 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2502.08531.

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

pith.paper-citation-record.v1
2502.08531 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T03:21:02.039035Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:22:10.087853Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T21:22:11.062101Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b7668f1-c83d-4925-8b4f-4923a6f89cbd · outbound

This paper cites Sofia Faltenbacher, Jonas Wahl, Rebecca Herman, and Jakob Runge.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Sofia Faltenbacher, Jonas Wahl, Rebecca Herman, and Jakob Runge

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-23T03:22:27.968999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:2f6463ce03853554e19337e6777388ee6b91359e6226306d0b511c9738025259

Observation 5e257c77-6cbe-484f-9b92-3fcaf5eac4c6 · outbound

This paper cites Jiji Zhang and Peter Spirtes.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Jiji Zhang and Peter Spirtes

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.405172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:16d1cf2161d3c63981ac509b35e7b23712def2f02db4885d29b0aef255b4fc7e

Observation d3487206-e67b-4c57-98a7-ebee553cd1fa · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.408136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:b39b60159820fc1458afd1959f92c7b9640081914a70810e11e051250c523e97

Observation fccd54de-41ec-4b30-a87a-3aa42a048544 · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.410901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:286d4e46bee6eef2717d797f5a3c483e444bef2419258f2f2e02be201d565634

Observation fa8e99cc-6e60-4a29-93b8-7456cc91b37d · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.413891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:cc6e0de8d396f67b18989425bb8fb01a72deaf982859d157a2fcb842b706e7b3

Observation 815bc39b-1eec-4fa2-b14c-7c07f14dd858 · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.401914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:5ac1c0c8dd10e7262494245d905914f699607cf6b5301fa3cf77c60f180f51a2

Observation 6519f9db-5c34-4373-9e39-f2bf8f0c2c79 · outbound

This paper cites Not Applicable.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Not Applicable

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.398289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:492410172368395b76ffa1642630e81e37678181dca45a2331940704c49b5162

Observation e71fdeba-423b-4087-8835-ffd527164f48 · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.417250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:f1130b4f5c457e71bb422ca138d0f2a5f057e9ac1e26eb837319e589238ae651

Observation bf88b18a-cb30-459d-b838-efdd43f9e6c1 · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.376404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:978c77c5fb739a32b5f9b5d5e271e60c45ad04296241bab68869e225a47cc57b

Observation c4234b43-fe21-4dc3-bf4c-3d2b12b4de69 · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.379746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:025164e7b79f6173781febbc7716e3b79b3576a21a3c35d2f3e81dd316ffc1bb

Observation ab14a603-d4d7-4aab-9aef-d7e47238175e · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.373275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:951c2e821bbac0a1b52c5beebfa0ee55341fcc88272a8ec18999492e5798b728

Observation d03f59ca-065f-4dac-95c8-16c65583c630 · outbound

This paper cites Bouckaert (1995) uses the following definition to graphically characterise CI-statements that follow via the Graphoid axioms, as used in corollary 6.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Bouckaert (1995) uses the following definition to graphically characterise CI-statements that follow via the Graphoid axioms, as used in corollary 6

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.370287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:9e98ee773713a5390fcb51e77e10d1a833a4cf22a0d7b020c8f047f9172bc1aa

Observation a1d43f98-49ad-4012-bf09-adf35ce10f7f · outbound

This paper cites Analogously addW→W ′ 1 and W→W ′ 2 if W∈V\N (X∼Y| Z).

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Analogously addW→W ′ 1 and W→W ′ 2 if W∈V\N (X∼Y| Z)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.395009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:bb6c3fe6fd2a0751ad476fb7411bf5a8c682a8e47cdd59babd1bc126bdec59a0

Observation 0eeb98cf-b956-4d0e-8292-c26916a8ff7e · outbound

This paper cites an unresolved cited work.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T03:22:28.366727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:d855419e7dacd06247466e91e8901f1b55a18a94ec5b05e3a0a1294cc703f5d2

Observation e05a487b-53fa-4a14-9041-4c1b618f30e8 · outbound

This paper cites So in any case we have another difference betweenT∗ andT ′.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models So in any case we have another difference betweenT∗ andT ′

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.388980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:ec45a8ec32dc5a3800ff6f37aade8a17a69a771b9fc2278f98181fadb8e143bd

Observation a75f2bd4-0d75-4ed7-a6f2-dfe54059f1a2 · outbound

This paper cites if we have X−Z ∗ −Y ∗ −W.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models if we have X−Z ∗ −Y ∗ −W

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.392005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:dee8e61495e1cebab814d4e219aba4655a40364789b96c62a4910756ce594a5f

Observation 8ce85ea9-491b-4908-9662-b2344d63736b · outbound

This paper cites if we have the structure in fig.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models if we have the structure in fig

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.385724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:1e25344708bc236ac489e0fcdecac397f495012a13ccd0db0f190bd99196a940

Observation 0c22eeb8-443b-4054-88c1-31ce42de0324 · outbound

This paper cites W ∗ −X−Z ∗ −Y.

On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models W ∗ −X−Z ∗ −Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T03:22:28.382756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T03:21:02.039035Z digest=sha256:9e3e9d54ea0f47a934ec74db9d5dc50c9fc9e5e521fa52b1df196f1ca42bbd4c

Pith citing papers

Observation 8261c1d2-98b4-4ef6-9c94-b7b8096d53a7 · inbound

Causal discovery on vector-valued variables and consistency-guided aggregation cites this paper.

Causal discovery on vector-valued variables and consistency-guided aggregation On Different Notions of Redundancy in Conditional-Independence-Based Discovery of Graphical Models

Reference 17

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T21:22:11.065816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T21:22:10.087853Z digest=sha256:62aaba11543677f607352fd725ab9bc74bbe842f08fcedc141edaad1582da328