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Paper Citation Record · LEDGER

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

As of 20 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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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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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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Observation bbe1c2d2-d61f-45a5-a2b5-2442e8c7ef51 · outbound

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:26.249767Z digest=sha256:d3f9f66a8bf1d5813991cf7e00382aeee47656d30ead71e99a43f9095d945dbe

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:26.369310Z digest=sha256:4f5303fd758a76b11d6b1bdc3047f68de3191eda5b325665f87e60649fbb86b3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:26.454618Z digest=sha256:66e4c2e34f88e4d59a691f8f5e374485c01028d7ca4ea887727bb5206f8ffe5b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:26.563244Z digest=sha256:e5e1650ccc2b07d7a9d1bca0d4ed243ef6ffce2aaf211eb7af1b122ac6f14409

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:26.745700Z digest=sha256:7d701e8a4cd822ada3b3392a00f675a4008f610b709493d6c0db911c13200b03

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.001410Z digest=sha256:6c3c056be4bbd3e3e9bfce94abb5cdeebd1de75001cbbe17fa1c238764df9dd9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.141364Z digest=sha256:97a7f09ea21eb1753ba7dde17de0ec62159b919aebd3d0d8efa4f243ceac359d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.304150Z digest=sha256:1830421eb1bc3683201398b6baac92d02da80ab660e5946b7848923deeaefea7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.418811Z digest=sha256:82c57196b299512cbe1a68cb8c0142bec2682fbdfd85bad7cc1aaac4b83d4100

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.556988Z digest=sha256:9142da404fda53747cf8454d4324228d8b2e14efb462448db8c433fa7411a8f2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.654447Z digest=sha256:e920057eb20769f9351231177de82667aa7808de36828af7915e0c9f44692973

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:27.812533Z digest=sha256:8689b3313850e67b686c891641fafe3a5dd6ed88edb23addf475b2eecdeeebb3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.002502Z digest=sha256:fda9abcdc31ea90019392df8ac5c5e5fd08a81a54a39f582abf72096f7cb5d14

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.151781Z digest=sha256:4657f7fa298abc1bd24e85b86c0dc6e963181856fff5dd160c282f58f987592c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.323996Z digest=sha256:aa3b34b9267eec0691eee383cbb46a58b0f8988fb50856e5c1affa4ee8513d7a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.500032Z digest=sha256:3872feaa59e25133d908b124078d77d858deef811947a04c442c4e9fd76cf0f0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.677057Z digest=sha256:b40a0713e5facded11b2ad5e159f98642e3cc91b2628c1be32c066223aebed77

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:28.847197Z digest=sha256:0e3a49f4f7768fee0bd294f6a9fa1eb18e65211a0724bffe05e4e3e244b689e2

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:29.285027Z digest=sha256:fc619fda3b43d2e842951f543b940281ab509df7201475fc553ac0f5fe88b3c4

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=sha256:352241c3fe771d2257031487d3d8b1d6bda9e894432ff23bddb0b8c67544f96b

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

Resolution
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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:29.786992Z digest=sha256:a51c38eea2011c64ee0025da007a210769de295045fb68fd1e67c3f4e4d55aeb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:29.959956Z digest=sha256:daedca2b0a712c19c9840545f076b8b042a09c9145ed9432a0b8148e68c96aa1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:30.121663Z digest=sha256:cf52ef24e9fd4c3393c26cf0d6278289ebb5cbfbee2fceae254f737b6bf70741

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:30.507370Z digest=sha256:f91c52c77b6754fa0d78c381066bd7c2832a4dbaf266fd85e9fb375dbd3ddf84

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:30.614357Z digest=sha256:7a03f4eb036f821b945442e00699534037d96c9d40058266c80c5d2cf756189e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:30.777084Z digest=sha256:5fb13e7464c1ddae21439dc00cbf34b3700e5da212aa5a1b515c1efbfd82e388

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:30.934122Z digest=sha256:daba9064a871e64ee673783bae43bf1f5c0b006abe2654c48dd2d2f325e6d090

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.095080Z digest=sha256:23ee7b02f009cc61d67552869ad54168871dc9c9f0fe04b52f2c05fa51ce64a2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.243423Z digest=sha256:4bc21a87f3469775e303995ec814fc59a372ba7d3d05555a49e458bf696a815e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.369746Z digest=sha256:a397d5ec5bff67abdbebce63ef0bf2f71f72bcebb2bca9eee4d758ca984c5436

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.491749Z digest=sha256:3ee948ea0fffc2c6473615b1a26a040ff77f07cb36cf15a702d3f6e470789a44

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.613011Z digest=sha256:f88f8a0770c5ab1157118c8423578e8fb218f37a43c908b9e3658c272458ebd0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.777502Z digest=sha256:615da6cf6a5d208d461e9589b1b40a1d59eff6bf71fee86479c0ce682ee4e223

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:31.999758Z digest=sha256:3f3819cafe0448b856ddd904305951d9777e71bb0d139bf1e8cfe1187e2b9a0b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:32.192521Z digest=sha256:8a856dacfbd2353aff0ac993e04bb2d22e6832c1a18322e0184c4074de707be5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:32.365879Z digest=sha256:28e5ea3f4464ac94502ab0144e9811f48da2374e5d8476b4b284190eeb21fc5b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:32.571359Z digest=sha256:7178aa33c75d455ada9fc807f2b350609ced73ef236db355ab0f5a4c6f0c9b21

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:32.786375Z digest=sha256:fa53afdd941a77e8f5154f64cea9ac01aab2dfd4db7d45b2ff42f437ffa178d7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:33.008955Z digest=sha256:79195754eb95e3c5f411b356137a2d1a662f6fdff3a7a5b056cbcf5678d91998

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:33.159022Z digest=sha256:5d9d9446f82ad0917dc59ccb80319954c940dc43e950d5ae871c086c77085add

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:33.289335Z digest=sha256:a9cb499877d1d9aad17386e0a058e1c35910687856ee6e1b9de181511a2bb618

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:33.445444Z digest=sha256:6a388427616f3bcae060cd59bb4915e87915353e17843c1e5d6e47228fb070d6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T21:53:33.573292Z digest=sha256:3b110d447212e832d6af0c3c59d33f9da007dd85a2c9fa1da59f132feb701d7d

Pith citing papers

No inbound Pith citation observations are available.