Paper Citation Record · LEDGER

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:1910.11710.

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

pith.paper-citation-record.v1
1910.11710 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:23:14.411794Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T21:36:51.875339Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a1a2a745-fbe2-4c93-ac50-01240eb703e9 · inbound

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics cites this paper.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 103

Resolution: unresolved; no resolver link, observed 2026-08-11T10:23:14.411794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30b054c0-cb99-4121-a11b-5d82c023b293 · inbound

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs cites this paper.

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-10T19:32:41.614726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5159da6-f14f-4167-a25a-4ed71e0f1dfd · inbound

A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions cites this paper.

A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T14:04:34.129063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c973ebf-d90a-4b4b-bd2f-7d7567b24c35 · inbound

Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems cites this paper.

Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-18T21:36:51.880573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 86adf456-cd37-45bb-a797-41c198c640e6 · inbound

Deep learning for the semi-classical limit of the Schr\"odinger equation cites this paper.

Deep learning for the semi-classical limit of the Schr\"odinger equation Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T18:09:34.747221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25e0ad0e-86a3-4278-ba28-5fa3fb109395 · inbound

A Practitioner's Guide to Kolmogorov-Arnold Networks cites this paper.

A Practitioner's Guide to Kolmogorov-Arnold Networks Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 155

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T03:30:50.731360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 279c71bc-85dc-4158-90f7-f0dbbc9888f0 · inbound

Neural Multiscale Decomposition for Solving The Nonlinear Klein-Gordon Equation with Time Oscillation cites this paper.

Neural Multiscale Decomposition for Solving The Nonlinear Klein-Gordon Equation with Time Oscillation Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-03T19:36:17.053466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9a5b000-6b17-471f-acad-89d096c196fa · inbound

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms cites this paper.

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-17T01:58:51.585945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bcafe193-7124-46b8-8255-519a4dc38bc6 · inbound

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms cites this paper.

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T18:51:33.983295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c25219dd-b65a-4345-8eb1-dec4c6c48f6e · inbound

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches cites this paper.

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 44

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T09:23:37.326640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.