Paper Citation Record · LEDGER

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2501.13037.

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

pith.paper-citation-record.v1
2501.13037 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:39:52.233824Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy22
unresolved8
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10162e04-2d76-4021-a2cb-6e46d1e6504d · outbound

This paper cites Journal of the Egyptian Mathematical Society 23(2), 297–302 (2015) 22 I.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Journal of the Egyptian Mathematical Society 23(2), 297–302 (2015) 22 I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.666977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 485e0e09-8498-4f8a-927d-34f530f241fc · outbound

This paper cites : Causal processes in psy- chology are heterogeneous.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables : Causal processes in psy- chology are heterogeneous

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.654727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d28e67cf-f0b2-4280-bc9f-dcc0ad37abd8 · outbound

This paper cites Springer science & business media (1991).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Springer science & business media (1991)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.642398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 817060a1-8f65-43e4-81b5-421264019c72 · outbound

This paper cites an unresolved cited work.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:39:52.629853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation affdf52a-7b77-4a75-92f7-894a802fb902 · outbound

This paper cites John Wiley & Sons (2019).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables John Wiley & Sons (2019)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.618998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8229184a-65dd-4543-aab8-bf6f0d7e44f8 · outbound

This paper cites Princeton Univers ity Press, Princeton (1994).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Princeton Univers ity Press, Princeton (1994)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T16:39:52.130460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0914a84b-48b9-4893-b6eb-5200bd3eabb7 · outbound

This paper cites In: The 40th Conference on Uncertainty in Artiﬁcial Intelligence ( 2024).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables In: The 40th Conference on Uncertainty in Artiﬁcial Intelligence ( 2024)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.606437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9893c650-6ed3-4505-89e8-2bcaf5dd8af7 · outbound

This paper cites Journ al of Machine Learning Research 11(5), 1709–1731 (2010).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Journ al of Machine Learning Research 11(5), 1709–1731 (2010)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.592850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 13c9b76d-c648-48a9-a131-3bc84d3d7be7 · outbound

This paper cites Trends in Ecology & Ev olution 36(12), 1141– 1152 (2021).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Trends in Ecology & Ev olution 36(12), 1141– 1152 (2021)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.580624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2a235e6d-3ddd-446e-a882-039f00c57426 · outbound

This paper cites Springer Science & Business Media (2002).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Springer Science & Business Media (2002)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.567575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bce4cbdf-c6a6-4e2f-8349-c91b2b47c6ca · outbound

This paper cites an unresolved cited work.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:39:52.555201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82f9324b-8af7-4761-ac94-8cee23ada11c · outbound

This paper cites Networks 20(5), 491–505 (1990).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Networks 20(5), 491–505 (1990)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T16:39:52.154601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 809f5c95-b6e2-401e-82d0-9e756db0fd50 · outbound

This paper cites The Zero Set of a Real Analytic Function.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables The Zero Set of a Real Analytic Function

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T16:39:52.158688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d1913b0-1338-438c-a2d6-a0528c0cbc81 · outbound

This paper cites Stoc hastic processes and their applications 29(2), 309–315 (1988).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Stoc hastic processes and their applications 29(2), 309–315 (1988)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.541532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b89caae1-4ccc-4b47-8d0e-df9774d9baa0 · outbound

This paper cites Cambridge University Press (2000).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Cambridge University Press (2000)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.528754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 903b9f62-aede-4791-8096-cdd6ae9b52e6 · outbound

This paper cites The MIT Press (2017).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables The MIT Press (2017)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.516117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60dab1ba-43f2-4c7a-a5e3-10b3814a5344 · outbound

This paper cites Scandinavian Journal of Statistics 30(1), 145–157 (2003).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Scandinavian Journal of Statistics 30(1), 145–157 (2003)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.503463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1d1fbc6c-31ab-4832-9b8e-8d93a6fc267d · outbound

This paper cites The Annals of Statistics 51(1), 334–361 (2023).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables The Annals of Statistics 51(1), 334–361 (2023)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.487735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 81b6d1b2-a0bd-4b5a-b768-c76c1f5ecc83 · outbound

This paper cites Theoretical Medicine 13, 233–254 (1992).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Theoretical Medicine 13, 233–254 (1992)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.474191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3014d4d0-009b-4007-9804-2f3835f9b4db · outbound

This paper cites In: Conference on U ncertainty in Artiﬁcial Intelligence.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables In: Conference on U ncertainty in Artiﬁcial Intelligence

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.460721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6182d978-e9d8-410d-8074-080e9b429d5c · outbound

This paper cites Journal of Mac hine Learning Research 7(72), 2003–2030 (2006).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Journal of Mac hine Learning Research 7(72), 2003–2030 (2006)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.447778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d953dffc-b5da-4a52-b375-36d4190e54c4 · outbound

This paper cites Annual Review of Statistics and Its Application 9(1), 289–319 (2022).

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Annual Review of Statistics and Its Application 9(1), 289–319 (2022)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.435300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 643943f4-b16b-485e-a2a7-48529cbabd28 · outbound

This paper cites MIT press (2001) Causality for V ARMA processes with instantaneous eﬀects 23.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables MIT press (2001) Causality for V ARMA processes with instantaneous eﬀects 23

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.422385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7da57822-5999-4cf2-9eb1-73b5c4ce355f · outbound

This paper cites Identifying Causal Effects using Instrumental Time Series: Nuisance IV and Correcting for the Past.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Identifying Causal Effects using Instrumental Time Series: Nuisance IV and Correcting for the Past

Reference 24

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T16:39:52.291749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b49c9b5d-debc-4381-aff8-c3fd1004d1c0 · outbound

This paper cites an unresolved cited work.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:39:52.409455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f165d508-a80d-4dab-9b12-d7bc92ba8088 · outbound

This paper cites Furthermore, when taking this descendant path back to γ and then following p, γ becomes a non-collider not in B.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Furthermore, when taking this descendant path back to γ and then following p, γ becomes a non-collider not in B

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.397031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 150696b2-8e93-443f-8d8c-56205dd29e9c · outbound

This paper cites , d } and t∈ Z draw an edge from every node in the node set P AGI (Si t)[t−p,t −1] to every node in DEGI (Si t)[t] (instantaneous de- scendants) if they did not already exist in GI.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables , d } and t∈ Z draw an edge from every node in the node set P AGI (Si t)[t−p,t −1] to every node in DEGI (Si t)[t] (instantaneous de- scendants) if they did not already exist in GI

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.383740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bda667fa-15a3-4b82-a2ef-cc190034bd77 · outbound

This paper cites an unresolved cited work.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:39:52.369354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25d81cbb-ad5e-4e32-9301-d08b557b255b · outbound

This paper cites forward in time.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables forward in time

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.356670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 546cde52-c857-4307-84ce-d92a7f67f77d · outbound

This paper cites an unresolved cited work.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:39:52.344047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20543b8f-aeb7-40ef-ab9a-ef8551ab983d · outbound

This paper cites Note how A+ = A∗ [s0,t 0] = A∗∩ V 0 (idem for C+) as V +∩ V 0 =∅.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables Note how A+ = A∗ [s0,t 0] = A∗∩ V 0 (idem for C+) as V +∩ V 0 =∅

Reference 31

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T16:39:52.331434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation def3a6fe-8dfc-4e24-920a-abf45183f75b · outbound

This paper cites 3.5] Causality for V ARMA processes with instantaneous eﬀects 35 tells us that X⊥Gf ull Y|B is equivalent to Cov(X, Y|B) = 0.

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables 3.5] Causality for V ARMA processes with instantaneous eﬀects 35 tells us that X⊥Gf ull Y|B is equivalent to Cov(X, Y|B) = 0

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:39:52.318404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.