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Paper Citation Record · LEDGER

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

As of 8 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

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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

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Source: cited_works

Reference resolution

80 of 80 outbound references displayed

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External citation measurements

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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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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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Observation fad6234c-7be6-464d-ae66-abb1b2c39447 · outbound

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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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Observation cf2644d6-eba3-4217-8d85-baab7aba88a5 · outbound

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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Observation bd55bbd0-0e45-448a-97fc-fab6e8852b7a · outbound

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:26.249767Z digest=sha256:518d069c55e2d2bcf4f8af49ca12759530667f474255ac3709f28e32aa7443e2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:26.369310Z digest=sha256:bff569f291413ce01ad5e986dfc51be7f9950d21ef61d17dbe9ffe387b47f38d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:26.454618Z digest=sha256:dfded565f39f21b52f9c4fa9d39f18f7abe331bb85da1602375eafc6d75a8820

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:26.563244Z digest=sha256:9fa7c7b0df17ec3f6ec8ae6d2fa3dcad766108fd4a972e799833b0f4c4a9f28e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:26.745700Z digest=sha256:7de7d4e57f03a1f5718db390b5ff3e96a960664ffff42a2f896dfdd4f04f77e0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.001410Z digest=sha256:abbfb3cfa6f09a8dbbf63729f0f937588062e2308deb49cac67c6bf86dbea55b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.141364Z digest=sha256:7ffeea67393d19ebf44e6169a8e097124a26c89222c4d207a5bdf436e33baecf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.304150Z digest=sha256:a66040dabc8260819531cc2586ec346f21f92b6b67e4622c9d88c15575fd0645

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.418811Z digest=sha256:3a1cb4eb5283e15e1e16cea4b091ff747a9543599b61be23ac21d600aa42ab73

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.556988Z digest=sha256:ccc5741be9aef02e003c4b54449b705c3e507dcb54a560c3c2e08c431987432a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.654447Z digest=sha256:f5f3afd97961afad7c4698a37097d986df6299768b564c15fe757ba676b83356

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:27.812533Z digest=sha256:c6d37046c1245432291c95924f8f030d3c48e55c415c9910332a99ba95b9daf1

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

Resolution
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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.002502Z digest=sha256:6eb701a31116983a4331d3c528cdbc186e3cc29785d9eb41465401f476e801af

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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verified exact
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.151781Z digest=sha256:4a2ae697025b05d21b6f1a30a3d5b6487929f85e4f4171eee66eb14fe4687e3c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.323996Z digest=sha256:8bbb1636764ef26f89d03647eaa6c0d315f4e804d647aec2ceb289d34ae8fa39

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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metadata mismatch
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.500032Z digest=sha256:fd3f06570138ef759b979c8e11bef5f30503f3be4d1c5061b25d8b6c8f27abc6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.677057Z digest=sha256:4959e60aa8368cf8dbb960a12404bad98938b7801fb5c2a0af5ef87acb5e28dc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:28.847197Z digest=sha256:74fe37d5806a99a6e9725e95ae311c0766347325a3b95df4824eb69ee2da96ef

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=sha256:0c2d02e5d7ec862b56376fc0651067d6cd526168fe59bef0a8e9b29e62d96e36

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:29.285027Z digest=sha256:b18921d7f2070497c2d8c0970449a5813284e08b362f4225999b53022332ecab

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=sha256:595b872bce3c6974b60b725872224b0c6fc15a6b32d54b4a1815f65fb0e48186

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=sha256:8dcd90c3b1303e61c8ceda66550b4e7060fc496478a5ccb1e1fedf10d0227e6d

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

Resolution
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:29.786992Z digest=sha256:71925cc6922bafa6dc1aa6cb608bdf8f1fea52a18454cf1aba47440917dc8d9c

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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verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:29.959956Z digest=sha256:b03f734512b621e5a1826d26b127689e34d96296ccb19f59a01bf811b5b80cf1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:30.121663Z digest=sha256:3ba74be0865eead915cdf8ebeb862d0b481f59c9882e6e00786b333deaa21102

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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unresolved
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:ba2df52ba4d60dd823f1be08d38db309743254295b44d8467c2923e09e18a905

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

Resolution
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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:30.507370Z digest=sha256:e8290ffcc0847751b5b18e537ccec899cced49be0a764a9fb1732d086d3f5d36

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:30.614357Z digest=sha256:164fe32e7145ef7d3509161d5d78acce55897f1744b73a03e6732fe74c8f90e5

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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verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:30.777084Z digest=sha256:5db6f8d239d0fb9f8b98a601bc22eea5ed45e848215af3fc6545578b923a9d9e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:30.934122Z digest=sha256:14cfc555110f7b2f9b4fc986b626b891be622511874f270271477e603f27a14a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.095080Z digest=sha256:ea0d9142f4bb25e850d8ad674f627285f067140bed78180db6f41d275beeaca0

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

Resolution
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.243423Z digest=sha256:f5945d009bb4eb2cd3358bc8fbfef9249db35c4bb551588a14af57b1be637725

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.369746Z digest=sha256:6f7b69044e70adc2f0e18cebe1aaec22e5b126758f145574b02c8a2a38f5326a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.491749Z digest=sha256:e44f10a73f8dcd35fa140d5c7fbd458bdf08a375f2919dfc7acf178e90e4ffee

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.613011Z digest=sha256:91d8496993fd06c2073537dd9c4b1bc9926e94814b5574229031420fb1ad5278

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.777502Z digest=sha256:fe2af6c73f26830b1abeb203a2131678fb3e011d0583658c657d30e4c5ca2d24

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:31.999758Z digest=sha256:b4bbbdd9b8d77061ecc2969f6d254faebe8a9ff1fb5201103206b513ff8a9289

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:32.192521Z digest=sha256:2d2ca8232118a2ce84afe8bc3fee608517c3890328157ae900a9f825416b41c5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:32.365879Z digest=sha256:c9ae8573099597b9da35a46112f2164ae0a90645294726a665faf97d00c5b6c1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:32.571359Z digest=sha256:340aa28412d0a71e3a04d6c0b5edc730a9266c912df5493966f33b04741f9026

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:32.786375Z digest=sha256:1b48ddfb8a9aff44e55d11d52a29162918869fad98a9f261caa4a39d4c912894

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:33.008955Z digest=sha256:661f4529a3d6c5309cc35b793578bdc7482fd74e9771b3e00a9d267d824b73c0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:33.159022Z digest=sha256:798ceb43d690953c56c5b4f1bdc17d105f6887894e3f475d07827a16924c216c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:33.289335Z digest=sha256:122d8673a2f50c3ad06e2eb9feaffd139549fbfb949d2465ff1dee7977918f47

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:33.445444Z digest=sha256:864b52573837e3eb205de04e18f35fa5e040833c26304e94e5a68ed77fb8094d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T21:53:33.573292Z digest=sha256:f2d39ce573a3851de8180f165ed85f86530cb431bd2a6cfffa5ac6e4bd8210c3

Pith citing papers

No inbound Pith citation observations are available.