Paper Citation Record · LEDGER

Cyclic functional causal models beyond unique solvability with a graph separation theorem

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 3 inbound Pith citation observations for arXiv:2502.04171.

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

pith.paper-citation-record.v1
2502.04171 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T23:25:05.725855Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:17:01.043642Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T04:59:36.795884Z

Reference resolution

40 of 40 outbound references displayed

verified exact11
verified fuzzy0
unresolved27
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation acc205da-a075-44a2-8d4a-f776ee9c5bac · outbound

This paper cites Research trend of causal ma- chine learning method: a literature review.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Research trend of causal ma- chine learning method: a literature review

Reference 1

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-08T23:25:06.699831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f56e6ee1-bdc6-43c5-b496-a0bfceaf4eb5 · outbound

This paper cites Device-independent test of causal order and relations to fixed-points.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Device-independent test of causal order and relations to fixed-points

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-08T23:25:05.614302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation add299ec-c773-4fcd-af5e-83451688b153 · outbound

This paper cites Quantum com- putations without definite causal structure.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantum com- putations without definite causal structure

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.621077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a933e3f-1644-43e6-bec1-c23503fd4d48 · outbound

This paper cites Quantummechanicsnearclosedtimelikelines.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantummechanicsnearclosedtimelikelines

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.627463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55636287-8aba-4b47-aca5-d7b942ba8cb4 · outbound

This paper cites Theory-independent limits on correlations fromgeneralizedbayesiannetworks.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Theory-independent limits on correlations fromgeneralizedbayesiannetworks

Reference 19

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.906631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b60290cb-4c7d-43d6-8f40-98ac024902a1 · outbound

This paper cites A review of causal inference for biomed- ical informatics.

Cyclic functional causal models beyond unique solvability with a graph separation theorem A review of causal inference for biomed- ical informatics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.656399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 249b24b2-504c-4956-aa73-37728ceac7d0 · outbound

This paper cites Quantifying causality in data sci- ence with quasi-experiments.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantifying causality in data sci- ence with quasi-experiments

Reference 22

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.881758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07ff9ea4-5aa1-468d-9d3e-a69dacf204e4 · outbound

This paper cites Closed timelike curves via postselection: Theory and experimental test of consistency.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Closed timelike curves via postselection: Theory and experimental test of consistency

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.669711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37b26606-a2de-46af-822a-de265369cea3 · outbound

This paper cites Gravitational field equations for sources with axial symmetry and angular momentum.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Gravitational field equations for sources with axial symmetry and angular momentum

Reference 25

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.865314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3914303a-0000-4ef6-97fa-53a4be9cdfe1 · outbound

This paper cites Big data, data sci- ence, and causal inference: a primer for clinicians.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Big data, data sci- ence, and causal inference: a primer for clinicians

Reference 31

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-08T23:25:06.510914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 33180ee8-15f4-4ec3-a2d8-73ed6cf46a3d · outbound

This paper cites A characterization of Markov equivalence for directed cyclic graphs.

Cyclic functional causal models beyond unique solvability with a graph separation theorem A characterization of Markov equivalence for directed cyclic graphs

Reference 32

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.823112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5c892689-3761-4dc9-adb8-9d5c70179ce6 · outbound

This paper cites General framework for cyclic and fine-tuned causal models and their compatibility with space-time.

Cyclic functional causal models beyond unique solvability with a graph separation theorem General framework for cyclic and fine-tuned causal models and their compatibility with space-time

Reference 36

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.786201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f124457-88d2-4b03-895a-79df5582aa8e · outbound

This paper cites Causal networks: semantics and expressiveness.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Causal networks: semantics and expressiveness

Reference 38

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.769430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39ddf599-14f1-43a5-873d-d87eed5d3570 · outbound

This paper cites Verma, J.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Verma, J

Reference 39

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-08T23:25:06.193239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d0c5cb3c-94c9-4eda-ab8b-77adfa77eeb4 · outbound

This paper cites The inflation technique for causal inference with latent variables.

Cyclic functional causal models beyond unique solvability with a graph separation theorem The inflation technique for causal inference with latent variables

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.722477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 317461ad-faf8-4863-934d-70863d2c4d69 · outbound

This paper cites Causal discovery and inference: concepts and recent methodological advances.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Causal discovery and inference: concepts and recent methodological advances

Reference 1938

Resolution: malformed identifier; doi_truncated, observed 2026-08-08T23:25:05.796408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d107d60b-1573-433d-8593-b3728dfff070 · outbound

This paper cites On the logic of causal models.

Cyclic functional causal models beyond unique solvability with a graph separation theorem On the logic of causal models

Reference 1949

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.647506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b672cb8-9f34-4248-8772-e794627d8f2b · outbound

This paper cites Foundations of structural causal models with cycles and latent variables.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Foundations of structural causal models with cycles and latent variables

Reference 1964

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.607244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63d94036-6491-44cc-b98c-8e1d98a19fdb · outbound

This paper cites On deducing conditional independence from d-separation in causal graphs with feedback (research note).

Cyclic functional causal models beyond unique solvability with a graph separation theorem On deducing conditional independence from d-separation in causal graphs with feedback (research note)

Reference 1967

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.675959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b1461ee-cd9d-413b-a6ac-ee277955e27c · outbound

This paper cites Cyclic quantum causal modelling with a graph separation theorem.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Cyclic quantum causal modelling with a graph separation theorem

Reference 1982

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.634003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29169cc0-4a9d-420f-978d-e1c8f7e12af6 · outbound

This paper cites Identifying independence in bayesian net- works.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Identifying independence in bayesian net- works

Reference 1990

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.650444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f57b9b05-41e4-447a-963d-64bfc4c9f0eb · outbound

This paper cites Communication by EPR devices.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Communication by EPR devices

Reference 1991

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.630752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42fe09a5-ba6c-40bd-aefc-fbd177dc584d · outbound

This paper cites Bell nonlocality.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Bell nonlocality

Reference 1993

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.600155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f5835d6-0344-4970-814d-e265cfed9846 · outbound

This paper cites Pearl, Causality, Cambridge University Press, 2nd edition, doi:10.1017/CBO9780511803161,.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Pearl, Causality, Cambridge University Press, 2nd edition, doi:10.1017/CBO9780511803161,

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.686133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94db0200-9b73-4274-8ab1-b0f2dc215378 · outbound

This paper cites Graphical models, causal inference, and econo- metric models.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Graphical models, causal inference, and econo- metric models

Reference 1997

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.812763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2108e5bd-fd69-4bb0-8d01-3450512dd4dd · outbound

This paper cites Quantum correlations with no causal order.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantum correlations with no causal order

Reference 2000

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.679083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e7ae820-2494-41ef-9f33-59855d48b7fe · outbound

This paper cites IX.-the gravitational field of a distribution of particles rotating about an axis of symmetry.

Cyclic functional causal models beyond unique solvability with a graph separation theorem IX.-the gravitational field of a distribution of particles rotating about an axis of symmetry

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.703113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f72355c1-0bf6-4b41-b6dd-e74dcd67ff71 · outbound

This paper cites Causal models and learning from data integrat- ing causal modeling and statistical estimation.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Causal models and learning from data integrat- ing causal modeling and statistical estimation

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.689580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eab400b-54d1-40ed-9f44-9e38df1166c8 · outbound

This paper cites Indepen- dence properties of directed markov fields.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Indepen- dence properties of directed markov fields

Reference 2011

Resolution: verified exact; doi, observed 2026-08-08T23:25:05.891505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation addb3ad3-e673-4acc-a8a7-79ab357ca667 · outbound

This paper cites Identifying Independencies in Causal Graphs with Feedback.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Identifying Independencies in Causal Graphs with Feedback

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.682348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5890d592-2f29-483e-90cc-015ece3c48a1 · outbound

This paper cites On the Einstein Podolsky Rosen paradox.

Cyclic functional causal models beyond unique solvability with a graph separation theorem On the Einstein Podolsky Rosen paradox

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.603520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39dfa27d-bda5-46ea-a569-77620a3955f5 · outbound

This paper cites The space of logically consistent classical pro- cesses without causal order.

Cyclic functional causal models beyond unique solvability with a graph separation theorem The space of logically consistent classical pro- cesses without causal order

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.617603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0f6cb40-df5c-47b2-b315-ff63daf25d1c · outbound

This paper cites Constraint-based Causal Discovery for Non-Linear Structural Causal Models with Cycles and Latent Confounders.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Constraint-based Causal Discovery for Non-Linear Structural Causal Models with Cycles and Latent Confounders

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.641024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7a16830-5cc7-400a-b019-427a937312ec · outbound

This paper cites An example of a new type of cosmological solutions of Ein- stein’s field equations of gravitation.

Cyclic functional causal models beyond unique solvability with a graph separation theorem An example of a new type of cosmological solutions of Ein- stein’s field equations of gravitation

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.644550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaa37e29-714e-42c0-a8cf-bf4c7fe3e9bc · outbound

This paper cites A single quantum cannot be cloned.

Cyclic functional causal models beyond unique solvability with a graph separation theorem A single quantum cannot be cloned

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.725855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 376f5639-8936-410f-95e0-f42b88f451bd · outbound

This paper cites Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.596172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6125488-bf75-4866-a56b-8677d449bb9a · outbound

This paper cites Quantum Causal Models.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantum Causal Models

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.610576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b975b6f9-d432-4503-83b8-299837b0cba5 · outbound

This paper cites Impossibility of superluminal signaling in Minkowski spacetime does not rule out causal loops.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Impossibility of superluminal signaling in Minkowski spacetime does not rule out causal loops

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.713466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7afc221e-90f4-4066-b532-9e5f06be2d7b · outbound

This paper cites Quantum causal modelling.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Quantum causal modelling

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.624213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53630277-f922-4847-81f1-76bc6147e3ec · outbound

This paper cites Markov Properties for Graphical Models with Cycles and Latent Variables.

Cyclic functional causal models beyond unique solvability with a graph separation theorem Markov Properties for Graphical Models with Cycles and Latent Variables

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-08T23:25:05.637525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fc59e503-d4da-4360-9bc7-e3921c20c558 · inbound

An equivalence between time-symmetry and cyclic causality in quantum theory cites this paper.

An equivalence between time-symmetry and cyclic causality in quantum theory Cyclic functional causal models beyond unique solvability with a graph separation theorem

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T05:17:01.043642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40e3d564-8bb6-40c2-a893-e47d3728e17c · inbound

Impossibility of superluminal signalling rules out causal loops in conical spacetimes cites this paper.

Impossibility of superluminal signalling rules out causal loops in conical spacetimes Cyclic functional causal models beyond unique solvability with a graph separation theorem

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-04T04:59:36.825713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ca194d71-5933-4971-9516-566cd2c98418 · inbound

Equilibrium Causal Games: Separation, Identification, and the Identifiability of Cyclic Latent States cites this paper.

Equilibrium Causal Games: Separation, Identification, and the Identifiability of Cyclic Latent States Cyclic functional causal models beyond unique solvability with a graph separation theorem

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T12:37:33.423641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.