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Paper Citation Record · LEDGER

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery

As of 17 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2506.23374.

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

pith.paper-citation-record.v1
2506.23374 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:53:33.573292Z

measured 80 of 80 standing notices

One-hop event checks from named stored sources.

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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

80 of 80 outbound references displayed

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  • verified fuzzy38
  • unresolved24
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c50a63a2-3135-4d0f-a9ab-8bef7c13654f · outbound

This paper cites On applications and theory of functional equations.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery On applications and theory of functional equations

Reference 1

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Observation a5b62a8b-fba3-4cb5-bdfd-8cd141cf893b · outbound

This paper cites M., Manibialoa, C., and McIsaac, F.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery M., Manibialoa, C., and McIsaac, F

Reference 2

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Observation 5a88da5c-7061-4bcc-adef-2c3e486e411b · outbound

This paper cites DAGMA: Learning DAGs via M-matrices and a Log-Determinant Acyclicity Characterization.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery DAGMA: Learning DAGs via M-matrices and a Log-Determinant Acyclicity Characterization

Reference 3

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Observation 24164d69-65c4-4d27-9f23-20607a3d208b · outbound

This paper cites Cause-effect inference by comparing regression errors.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Cause-effect inference by comparing regression errors

Reference 4

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Observation dae7219d-682a-4d02-90d1-3b1d9a46c017 · outbound

This paper cites CAM: Causal additive models, high-dimensional order search and penalized regression.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery CAM: Causal additive models, high-dimensional order search and penalized regression

Reference 5

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Observation 09439b0f-18a8-4e8c-996e-bd5ef8558184 · outbound

This paper cites Causal Discovery with Cascade Nonlinear Additive Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causal Discovery with Cascade Nonlinear Additive Noise Models

Reference 6

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Observation 01f1731e-b772-4ee9-8443-50dd4f852f5d · outbound

This paper cites Fom: Fourth-order moment based causal direction identification on the heteroscedastic data.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Fom: Fourth-order moment based causal direction identification on the heteroscedastic data

Reference 7

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Observation 34de6219-fc33-4086-8759-2f523b768ba6 · outbound

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When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 8

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Observation c9d04dd4-fd1f-4544-96c3-88c4246f9fae · outbound

This paper cites Cyclical annealing schedule: A simple approach to mitigating kl vanishing.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Cyclical annealing schedule: A simple approach to mitigating kl vanishing

Reference 9

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Observation 78c128ba-4441-4554-b57a-db658880e213 · outbound

This paper cites A kernel statistical test of independence.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery A kernel statistical test of independence

Reference 10

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Observation 49d7626c-c70e-4830-8eed-300e540cca16 · outbound

This paper cites Lagging Inference Networks and Posterior Collapse in Variational Autoencoders.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Lagging Inference Networks and Posterior Collapse in Variational Autoencoders

Reference 11

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Observation de02f963-af8a-4aea-8da1-48ae51786995 · outbound

This paper cites Beta-vae: Learning basic visual concepts with a constrained variational framework.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Beta-vae: Learning basic visual concepts with a constrained variational framework

Reference 12

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Observation 17207c5b-776b-46f2-8d12-b98ea43c6d99 · outbound

This paper cites Hybrid Top-Down Global Causal Discovery with Local Search for Linear and Nonlinear Additive Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Hybrid Top-Down Global Causal Discovery with Local Search for Linear and Nonlinear Additive Noise Models

Reference 13

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Observation 51082c87-f6e0-49e3-b326-7bbde53399ed · outbound

This paper cites LoSAM: Local Search in Additive Noise Models with Mixed Mechanisms and General Noise for Global Causal Discovery.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery LoSAM: Local Search in Additive Noise Models with Mixed Mechanisms and General Noise for Global Causal Discovery

Reference 14

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Observation 5308fbf3-96ff-4a33-ba05-eb3591a72c0e · outbound

This paper cites Denoising diffusion probabilistic models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Denoising diffusion probabilistic models

Reference 15

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Observation b4a9ef6b-6b6c-43c3-83d1-aa43eae36345 · outbound

This paper cites O., Janzing, D., Mooij, J.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery O., Janzing, D., Mooij, J

Reference 16

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Observation 9bc65dd3-5048-4416-a9f2-65199d2d0653 · outbound

This paper cites Generalized Score Functions for Causal Discovery.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Generalized Score Functions for Causal Discovery

Reference 17

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Observation 6d7406bb-4dc6-4065-8c5d-36f9a048d596 · outbound

This paper cites On the Identifiability and Estimation of Causal Location-Scale Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery On the Identifiability and Estimation of Causal Location-Scale Noise Models

Reference 18

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Observation 07faab86-4801-49df-b8bf-959500e1b63b · outbound

This paper cites and Scholkopf, B.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery and Scholkopf, B

Reference 19

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Observation 69f06bdd-8f76-4006-b229-cd3d661a7307 · outbound

This paper cites Information-geometric approach to inferring causal directions.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Information-geometric approach to inferring causal directions

Reference 20

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Observation cf8cf823-4bc8-4f1e-b584-4bab3ea14ba1 · outbound

This paper cites Identifying confounders using additive noise models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Identifying confounders using additive noise models

Reference 21

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Observation 22223a08-91b0-470c-b338-08c3e0df910f · outbound

This paper cites Elements of causal inference: foundations and learning algorithms.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Elements of causal inference: foundations and learning algorithms

Reference 22

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Observation 6eba8fdd-c059-415b-9e73-6f7857725c79 · outbound

This paper cites Learning to induce causal structure.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Learning to induce causal structure

Reference 23

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This paper cites The UCI Machine Learning Repository.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery The UCI Machine Learning Repository

Reference 24

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When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 25

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Observation cf6bca6b-9806-4de1-989b-f62a0b73f174 · outbound

This paper cites Estimating mutual information.Physical Review E, 69(6):066138, June 2004.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Estimating mutual information.Physical Review E, 69(6):066138, June 2004

Reference 26

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This paper cites Greedy Relaxations of the Sparsest Permuta- tion Algorithm, 2022.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Greedy Relaxations of the Sparsest Permuta- tion Algorithm, 2022

Reference 27

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Observation d4b155af-0f49-43af-a2f0-2d675a227320 · outbound

This paper cites J., Srinivasan, R., Ong, C.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery J., Srinivasan, R., Ong, C

Reference 28

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Observation 68cb2c7f-3c28-4da8-83de-1082591cb345 · outbound

This paper cites Efficient Neural Causal Discovery without Acyclicity Constraints.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Efficient Neural Causal Discovery without Acyclicity Constraints

Reference 29

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Observation a55ba297-def5-4cfc-884b-fb5791ab7f92 · outbound

This paper cites Causal discovery via conditional independence testing with proxy variables.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causal discovery via conditional independence testing with proxy variables

Reference 30

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When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 31

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This paper cites and Vreeken, J.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery and Vreeken, J

Reference 32

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Observation 5dfc742e-506b-4b87-aa0d-d27744acbb66 · outbound

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When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 33

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Observation b2293f4a-b040-4e0a-80d6-7ee543dc9e1c · outbound

This paper cites Identifying effects of multiple treat- ments in the presence of unmeasured confounding.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Identifying effects of multiple treat- ments in the presence of unmeasured confounding

Reference 34

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Unavailable: canonical work link unavailable.

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Observation 2f504809-9138-4d27-acf7-1d5a6f0e5e86 · outbound

This paper cites Causal Discovery with Score Matching on Additive Models with Arbitrary Noise.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causal Discovery with Score Matching on Additive Models with Arbitrary Noise

Reference 35

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local_arxiv, observed 2026-08-06T21:53:36.205469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:26.249767Z digest=sha256:af5e03ad1358d406a10e80ff19230c29c1bd03e68f80150d35260a64c7502ab4

Observation 410c6654-2df4-4658-a332-38e4e78fdad9 · outbound

This paper cites Scalable Causal Discovery with Score Matching.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Scalable Causal Discovery with Score Matching

Reference 36

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local_arxiv, observed 2026-08-06T21:53:35.888371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:26.369310Z digest=sha256:4415304b224c41902ffcf9e32d993abda49125a249b17b6db049197d7670058a

Observation c751c30e-5029-4138-b438-b0e20ded683a · outbound

This paper cites Score matching through the roof: linear, nonlinear, and latent variables causal discovery.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Score matching through the roof: linear, nonlinear, and latent variables causal discovery

Reference 37

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local_arxiv, observed 2026-08-06T21:53:35.481819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:26.454618Z digest=sha256:4be32bc6c088b5a6136748d74914e0e05af65f1c9e0596b927b8decc58ce63ef

Observation 64ca0f0b-3fae-405f-a586-f757e98531cf · outbound

This paper cites and Janzing, D.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery and Janzing, D

Reference 38

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raw_fallback, observed 2026-08-06T21:54:43.699820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:26.563244Z digest=sha256:36d10ffc77f7db9fbf96e513069eaa12333be36e695be8026389d235e272ee5e

Observation 61a237ef-5289-4cc3-8084-4ba925ed04f9 · outbound

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

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Regression by dependence minimization and its application to causal inference in additive noise models

Reference 39

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raw_fallback, observed 2026-08-06T21:54:43.671776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:26.745700Z digest=sha256:b44299052e7af4995ec0388b2f2d2efdc435291c5dbae6cfae69c7a0ff364e1b

Observation 22d446f1-05d4-4a1c-90e8-9bc7d40ca96f · outbound

This paper cites M., Peters, J., Janzing, D., Zscheischler, J., and Scholkopf, B.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery M., Peters, J., Janzing, D., Zscheischler, J., and Scholkopf, B

Reference 41

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raw_fallback, observed 2026-08-06T21:54:43.540503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.001410Z digest=sha256:84235b65fba9be929c80e253ef1205969c72bbca74371ae00008802e538afaea

Observation a76a61b6-fe0d-4de3-a39b-7c3266b9408c · outbound

This paper cites M., Peters, J., Janzing, D., Zscheischler, J., and Schölkopf, B.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery M., Peters, J., Janzing, D., Zscheischler, J., and Schölkopf, B

Reference 42

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raw_fallback, observed 2026-08-06T21:54:43.636168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.141364Z digest=sha256:09c46355d69c83bebe5f60eb7e8f97da41a45fe5f9300cf2e44b5b92d6da5f00

Observation d04b1107-5723-4713-b27c-b16dd714d142 · outbound

This paper cites On the role of sparsity and dag constraints for learning linear dags.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery On the role of sparsity and dag constraints for learning linear dags

Reference 43

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raw_fallback, observed 2026-08-06T21:54:43.373493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.304150Z digest=sha256:3568bb671061b9274b53727d11f6310dd9eb0c8b069975ac773de5df6b709400

Observation a3fcd22e-93fc-49fe-b898-c67e6b969d39 · outbound

This paper cites Identifiability of additive noise models using conditional variances.Journal of Machine Learning Research, 21(75):1–34, 2020.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Identifiability of additive noise models using conditional variances.Journal of Machine Learning Research, 21(75):1–34, 2020

Reference 44

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raw_fallback, observed 2026-08-06T21:54:43.241739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.418811Z digest=sha256:dd7ebe33b5339669fc6b585321d739d599f3888aed72d9cfcc742a4498d21b00

Observation 354867c3-ef60-40b1-bcdf-d84b6af011ec · outbound

This paper cites PyTorch: An imperative style, high-performance deep learning library.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery PyTorch: An imperative style, high-performance deep learning library

Reference 45

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raw_fallback, observed 2026-08-06T21:54:43.151370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.556988Z digest=sha256:d6040911c4b4cd5792eaab7bde0cec3878c0b1b9594430b3d7786181bf511de4

Observation 6dc3b25f-b3e4-4459-bf0c-0405eb22f758 · outbound

This paper cites Myth, confusion, and science in causal analysis.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Myth, confusion, and science in causal analysis

Reference 46

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raw_fallback, observed 2026-08-06T21:54:43.124041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.654447Z digest=sha256:a61e2fff7f4611cf62a617c9b41f130a2583e099111584f003b27c66674cd5ee

Observation ca0dc2f0-b8c9-4cd6-b97f-8a065377e45c · outbound

This paper cites Causal Discovery with Continuous Additive Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causal Discovery with Continuous Additive Noise Models

Reference 47

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local_arxiv, observed 2026-08-06T21:53:35.086235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:27.812533Z digest=sha256:aec9ab902a24f0aed5fdae088a6912f58823c655c8483ca7f2ebd5a504fa2d8c

Observation e1cbea55-599f-4c76-97cd-d53f1fa0f85a · outbound

This paper cites Elements of causal inference: foundations and learning algorithms.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Elements of causal inference: foundations and learning algorithms

Reference 48

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raw_fallback, observed 2026-08-06T21:54:42.973165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.002502Z digest=sha256:1615b4c45ba6b7830c328a7c71ad87138166b6a22909314da58a2da724653078

Observation 87090121-8848-45d0-9d65-21e452a2a941 · outbound

This paper cites Causal Additive Models with Unobserved Causal Paths and Backdoor Paths.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causal Additive Models with Unobserved Causal Paths and Backdoor Paths

Reference 49

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local_arxiv, observed 2026-08-06T21:53:34.757996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.151781Z digest=sha256:273819a5c0b324a375c938b16a474b2e54fe9551f7a6c68b044897d53080b48f

Observation 7a2fd65b-9b76-4183-b144-226ed5b7b326 · outbound

This paper cites Beware of the simulated dag! causal discovery benchmarks may be easy to game.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Beware of the simulated dag! causal discovery benchmarks may be easy to game

Reference 50

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raw_fallback, observed 2026-08-06T21:54:42.839963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.323996Z digest=sha256:dc7248ea35e7e1894d76eb3cf451a3887377e0b1f1b0fc032022b16d0d019be2

Observation f9c1e282-fbc9-4ea2-be4b-4b029073302f · outbound

This paper cites A Scale-Invariant Sorting Criterion to Find a Causal Order in Additive Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery A Scale-Invariant Sorting Criterion to Find a Causal Order in Additive Noise Models

Reference 51

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local_arxiv, observed 2026-08-06T21:53:34.495500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.500032Z digest=sha256:93f7a5a8256700c21daf6585157a4dc339a2f4530bc8670f1cba3c3358d5941d

Observation 9b920765-93a2-4cb0-b3e8-854c6374dde8 · outbound

This paper cites Score Matching Enables Causal Discovery of Nonlinear Additive Noise Models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Score Matching Enables Causal Discovery of Nonlinear Additive Noise Models

Reference 52

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raw_fallback, observed 2026-08-06T21:54:42.669176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.677057Z digest=sha256:02a827ebd2ac2206b5d13a9be7ed841f267e5c3a0977a61ec21697a3dc9af673

Observation 76bbc1f8-aab7-4800-8ff7-15d5c62ae42c · outbound

This paper cites High-resolution image synthesis with latent diffusion models.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery High-resolution image synthesis with latent diffusion models

Reference 53

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raw_fallback, observed 2026-08-06T21:53:47.473560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:28.847197Z digest=sha256:daea80cd0206706775f20d0e7943609062a74f4e619fd66ef26f181ed1dbac4c

Observation b53c67e1-951e-41be-95a6-d4a297c6a1ff · outbound

This paper cites D., Muñoz-Marí, J., van Nes, E.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery D., Muñoz-Marí, J., van Nes, E

Reference 54

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no resolver link, observed 2026-08-06T21:53:29.058564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:53:29.058564Z digest=sha256:f957a4b76e03b970bcdfb468e2c44c1a9084fb8447acdaf00d5f5303b70f6eae

Observation 42ead2ef-c41f-4988-8753-45c6a258e589 · outbound

This paper cites A., and Nolan, G.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery A., and Nolan, G

Reference 55

Resolution
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raw_fallback, observed 2026-08-06T21:53:46.443782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:29.285027Z digest=sha256:a914ef5c05ddfd2e25a5162578eb4b1d98a670a9922e89aee52813b92a128ad0

Observation 6a65e03e-ec0b-4f63-8f65-371617c3b35b · outbound

This paper cites Diffusion Models for Causal Discovery via Topological Ordering.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Diffusion Models for Causal Discovery via Topological Ordering

Reference 56

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no resolver link, observed 2026-08-06T21:53:29.424240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:53:29.424240Z digest=sha256:5f36b088ac2ac180512569229c4492e477637479eab9f5c29eaf92c3c12ed5a7

Observation 70a788ac-cf91-489f-875e-ff6d54084965 · outbound

This paper cites On Causal and Anticausal Learning.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery On Causal and Anticausal Learning

Reference 57

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no resolver link, observed 2026-08-06T21:53:29.608274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:53:29.608274Z digest=sha256:69a25efde34ef6b5c07c9d5f197fe53622bae8df434f3370fcd8fbfcc94acc64

Observation 10e7dc42-c713-4869-99c2-9323fbcb71aa · outbound

This paper cites O., Hyvarinen, A., and Kerminen, A.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery O., Hyvarinen, A., and Kerminen, A

Reference 58

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raw_fallback, observed 2026-08-06T21:53:46.014107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:29.786992Z digest=sha256:e5b0130cc87f8bc0ecc52c84694c8c74ebf1b4f52ad776f52f6a0733e21980ac

Observation 86bd764c-8a14-452b-8ceb-659b4a2a6261 · outbound

This paper cites O., Bollen, K., and Hoyer, P.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery O., Bollen, K., and Hoyer, P

Reference 59

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raw_fallback, observed 2026-08-06T21:53:45.650024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:29.959956Z digest=sha256:72a0eecd32ae0e6cc83106797a4b96e51f6589352b5730c1a67bbb79e1de7c77

Observation 6daf677a-752e-4d27-96b4-1d3fb01c1bc5 · outbound

This paper cites An Anytime Algorithm for Causal Inference.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery An Anytime Algorithm for Causal Inference

Reference 60

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raw_fallback, observed 2026-08-06T21:53:45.210241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:30.121663Z digest=sha256:a06c97ec191402b754c963b224578a654313c1907695da9804ceef2e0576cb87

Observation ee677497-221b-4756-a113-1f4a9b749993 · outbound

This paper cites Causation, Prediction, and Search , volume 81 of Lecture Notes in Statistics.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Causation, Prediction, and Search , volume 81 of Lecture Notes in Statistics

Reference 61

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no resolver link, observed 2026-08-06T21:53:30.332830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:53:30.332830Z digest=sha256:560d0af2889dc806b34c6c1fb997b531611b364c5974a0fa9135f6d61210df76

Observation bd599bdd-4dbb-4a01-8132-2b41978ccf8f · outbound

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

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Distinguishing cause from effect using quantiles: Bivariate quantile causal discovery

Reference 62

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raw_fallback, observed 2026-08-06T21:53:44.819997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:30.507370Z digest=sha256:5f5a445566a18d8ef7ed586756dc7e334a96730d38b6f07d6e52aa8c42ab05ce

Observation 2e9fcecd-f5ef-48da-8abd-1240fae0ac29 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 63

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unresolved
raw_fallback, observed 2026-08-06T21:53:44.487548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:30.614357Z digest=sha256:080a1b9d1b8b55b278c7e62a145b04cf253ea14542567958b8f49f31bde16694

Observation abaa74c6-3865-4290-9b59-f2eef5ebd0e4 · outbound

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

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery A., Marx, A., and Vreeken, J

Reference 64

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raw_fallback, observed 2026-08-06T21:53:44.186477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:30.777084Z digest=sha256:d469c6cecc41b550a257b1723d2e25fe59f217f6285ccec55668f2c6f4d8bd89

Observation 7b3b2111-9b54-492b-aa99-76c5f7e46b41 · outbound

This paper cites Ordering-based causal discovery for linear and nonlinear relations.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Ordering-based causal discovery for linear and nonlinear relations

Reference 65

Resolution
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raw_fallback, observed 2026-08-06T21:53:43.793242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:30.934122Z digest=sha256:17434143d9b6a0d56f9aca8452bca680db3c727cf1191671c24aadee632b0da2

Observation cf5f3c3a-d6bf-4ed5-8815-566cbe30a234 · outbound

This paper cites and Qu, A.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery and Qu, A

Reference 66

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T21:53:34.269024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.095080Z digest=sha256:883f4d0dee51488fd3078ee7c0a02fd536ffabe32fa89dc648f5ea5f52832231

Observation ab5a7574-c880-4785-a0d1-a38bfc01795d · outbound

This paper cites and Hyvarinen, A.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery and Hyvarinen, A

Reference 67

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raw_fallback, observed 2026-08-06T21:53:43.473503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.243423Z digest=sha256:8430522d12158aca6f6cdfc14ec10e60ac1da83fc4633d396288b548e601e17a

Observation fa23974f-5d5b-4ab0-b094-3d7d5b7dd8d7 · outbound

This paper cites K., and Xing, E.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery K., and Xing, E

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:53:43.162544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.369746Z digest=sha256:5e8c08a6d632756bfaca599f6bad3feffcdc1092ffff66a074b74c41fbd451df

Observation b9fb4f15-a134-40ff-a2da-804b9fff2b1c · outbound

This paper cites Learning sparse nonparametric dags.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Learning sparse nonparametric dags

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:53:42.826951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.491749Z digest=sha256:28d88d2f7b113d8741ca06a38813b9e9a2aba19af5212e4c10b0a37abda2a445

Observation 21b2ed06-1b42-4dbc-9e94-64ddbff8e577 · outbound

This paper cites Kolmogorov complexity.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Kolmogorov complexity

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:53:42.450684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.613011Z digest=sha256:9c051c5db57a688061c199e88f5c5856391c057299e47be9f4fb238a034daefd

Observation fd9a3f06-d4b4-4984-96f4-30a57d7f702d · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:42.074860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.777502Z digest=sha256:73196b7d63fb5b4ee18d15190667ce83055db25b7e51577f43ec49ef69f3d2a8

Observation 1f248d08-4291-4bfa-98d1-1bc1cf6a607c · outbound

This paper cites This proof will proceed in the following steps.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery This proof will proceed in the following steps

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:53:41.761144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:31.999758Z digest=sha256:8a7d3189403676c9108c04d0ca0ab6e66b62655201036abedef0d271f7dd4705

Observation 69f7fb76-b0c0-48d1-9d31-32c95c7c1584 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:41.410617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:32.192521Z digest=sha256:2dae6c07b5b8bacaa9ff39f85a8e1d73411cee180a0e3f652ef1d65d7a26092b

Observation d22fc3a6-31ad-4e03-9241-67c41a15ff2e · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:41.024423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:32.365879Z digest=sha256:afa8829255e0694a2724ac096991acb3e6bd517ea1abb77cde4d7db8ac557f47

Observation 1352956c-090f-470e-9c51-2265634ac668 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:40.665711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:32.571359Z digest=sha256:dc141f4b0042ba2455af904bc9333751d18f0fa46224d1d9c6afc3d3f93b1416

Observation d2cf633f-9744-4213-9182-71e23ce1a3c9 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:40.263020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:32.786375Z digest=sha256:0f7b35242f8a993b4cd599be60a197dae2022ee70e347fa9f8dfb56e76d5163b

Observation a0cf7766-6747-429b-b7cd-2003aa4ffbac · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 77

Resolution
parse uncertain
raw_fallback, observed 2026-08-06T21:53:39.960492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:33.008955Z digest=sha256:e16b11ea659516860b11fb66eeacdbbbad17c32914ced960019bbef65a58c00c

Observation e4cf09a8-8414-44b9-b90f-252df0bd7754 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 78

Resolution
parse uncertain
raw_fallback, observed 2026-08-06T21:53:39.590539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:33.159022Z digest=sha256:681132b8f8d899b3d951231a69f6def5849929c66879f28e4713ea9732644435

Observation 659cba62-87ad-46a5-b4fe-e662e809bfc0 · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 79

Resolution
parse uncertain
raw_fallback, observed 2026-08-06T21:53:39.228775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:33.289335Z digest=sha256:2929862c150fd57bcf3f3676a47068084290b2b8d9b9297547cd4534625a0c0f

Observation ceec51c6-47ad-4dbf-9482-ba7a5423c30f · outbound

This paper cites Note that Case 1 cannot occur, as it violates Assumption 2.2 by allowing for the existence of a backwards model X → Y with additive noise.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Note that Case 1 cannot occur, as it violates Assumption 2.2 by allowing for the existence of a backwards model X → Y with additive noise

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:53:38.844514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:33.445444Z digest=sha256:eb6e55a933f3be92a706f69484d44f232219d72c641b4ccc6c53f56b3f7e1169

Observation 4f249380-4323-447f-8711-22d477310a2e · outbound

This paper cites an unresolved cited work.

When Additive Noise Meets Unobserved Mediators: Bivariate Denoising Diffusion for Causal Discovery Unresolved cited work

Reference 81

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:53:38.494772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T21:53:33.573292Z digest=sha256:b099b84315cce2b3facde844bcd0afb5384bf95a6168150e09efcb7ba1bf83a0

Pith citing papers

No inbound Pith citation observations are available.