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Paper Citation Record · LEDGER

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

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 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 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:15:43.370986Z

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 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.

source=pdf_text observed=2026-08-06T13:15:43.370986Z digest=sha256:dc6a70bc854cf4140a97bdb896debdbc152cbd63f7348f7bccab7e8a0d10c939

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T19:13:18.894727Z digest=sha256:6a4281b0a43dd1b38066c814111f3088cfaab531aeead082cfd465436746d9fe

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-12T02:09:01.875110Z digest=sha256:a7b6126b59c870a18681b712c8a907c8f068b6ee61bf9e14459d734735e80c8b

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-20T19:31:31.583420Z digest=sha256:b0ab73612db6a6d311d4b4cf9327ac69db66cd9b2632aac2fab673a184babe2e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T16:01:16.642276Z digest=sha256:f04fca9547e90bdc639b8ac44de3ad57df3f0acda206c28c62aff5186ef9075a

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T03:49:50.921104Z digest=sha256:3ab7e9bf467b99f2d5b7e31c7b04be199be7971932f2dd75dd693dd7b57c2765

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-29T13:39:13.750453Z digest=sha256:00cd0c7d3997bf63a2200d29cab0ede2fedf83a77e6acd6e72862dcbe0357fda

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 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-06-27T10:55:15.050341Z digest=sha256:5e2e23e1886f997233d531c8aa320c5019876ad0fc8d9c75fb53fbc2b3ac8842

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.

source=arxiv_source observed=2026-08-05T00:42:28.448125Z digest=sha256:dc9bf1b5fa0d0922b3504b5f134f670212f698821d763771ee92d37e5829dd5c