Paper Citation Record · LEDGER

Scientific machine learning for closure models in multiscale problems: a review

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2403.02913.

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

pith.paper-citation-record.v1
2403.02913 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:53:31.172306Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

4
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e2c02989-8b21-4fc8-9d8b-08b5d52a9d73 · inbound

Symbolic Regression of Data-Driven Reduced Order Model Closures for Under-Resolved, Convection-Dominated Flows cites this paper.

Symbolic Regression of Data-Driven Reduced Order Model Closures for Under-Resolved, Convection-Dominated Flows Scientific machine learning for closure models in multiscale problems: a review

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T21:53:31.172306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8066e7e7-7d03-46a6-bd2d-4fae9661b5bb · inbound

FIGNN: Feature-Specific Interpretability for Graph Neural Network Surrogate Models cites this paper.

FIGNN: Feature-Specific Interpretability for Graph Neural Network Surrogate Models Scientific machine learning for closure models in multiscale problems: a review

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T04:15:05.081651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b5cd7c7-5d64-4fb7-ab12-6ab290d82cde · inbound

Modeling Partially Observed Nonlinear Dynamical Systems and Efficient Data Assimilation via Discrete-Time Conditional Gaussian Koopman Network cites this paper.

Modeling Partially Observed Nonlinear Dynamical Systems and Efficient Data Assimilation via Discrete-Time Conditional Gaussian Koopman Network Scientific machine learning for closure models in multiscale problems: a review

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T18:17:56.638646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 234fc238-48a8-4bd4-a610-b8f7d23f9e23 · inbound

Locally Adaptive Conformal Inference for Operator Models cites this paper.

Locally Adaptive Conformal Inference for Operator Models Scientific machine learning for closure models in multiscale problems: a review

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-06T13:15:43.370986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3c7947c-358a-4d1a-a65d-84bef18f678b · inbound

Multiscale Physics-Informed Neural Network for Complex Fluid Flows with Long-Range Dependencies cites this paper.

Multiscale Physics-Informed Neural Network for Complex Fluid Flows with Long-Range Dependencies Scientific machine learning for closure models in multiscale problems: a review

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:20:51.531523Z

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.

Observation 4a84ca8d-ee1f-4b8d-ad9f-2c4a04cc0f34 · inbound

A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds cites this paper.

A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds Scientific machine learning for closure models in multiscale problems: a review

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-12T02:11:15.883780Z

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.

Observation dab05810-78a7-40b4-9a02-d55ff448c0ac · inbound

Wavelet Flow Matching for Multi-Scale Physics Emulation cites this paper.

Wavelet Flow Matching for Multi-Scale Physics Emulation Scientific machine learning for closure models in multiscale problems: a review

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-20T19:33:41.876401Z

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.

Observation 7cfcbba1-f103-4113-83d4-74986150d573 · inbound

Hybrid Neural Ordinary Differential Equations for Data-Efficient Polymerization Modeling with Incomplete Kinetics cites this paper.

Hybrid Neural Ordinary Differential Equations for Data-Efficient Polymerization Modeling with Incomplete Kinetics Scientific machine learning for closure models in multiscale problems: a review

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.819741Z

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.

Observation 5200b68a-9303-4503-8673-da1f70e03ed0 · inbound

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models cites this paper.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Scientific machine learning for closure models in multiscale problems: a review

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:26:54.542265Z

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.

Observation 0b4bd3a4-b462-4249-a458-3179e2faa287 · inbound

Uncertainty-aware Multi-fidelity Closure via Conditional Normalizing Flows cites this paper.

Uncertainty-aware Multi-fidelity Closure via Conditional Normalizing Flows Scientific machine learning for closure models in multiscale problems: a review

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-29T13:43:28.758195Z

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.

Observation f2039aa4-71d7-431a-8a6d-5197b6e0476e · inbound

Sparse probes and murky physics: a case study of interpretability challenges in a foundation model for continuum dynamics cites this paper.

Sparse probes and murky physics: a case study of interpretability challenges in a foundation model for continuum dynamics Scientific machine learning for closure models in multiscale problems: a review

Reference 31

Resolution: metadata mismatch; arxiv_id, observed 2026-06-27T11:00:50.703680Z

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.

Observation 0c471c75-4758-4b80-a588-7dca0b860104 · inbound

Why Does the Future Branch? Identifiable Closure Tests for Stochastic Physical World Models cites this paper.

Why Does the Future Branch? Identifiable Closure Tests for Stochastic Physical World Models Scientific machine learning for closure models in multiscale problems: a review

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T00:42:28.448125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.