Paper Citation Record · LEDGER

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:09:34.747221Z

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
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
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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 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.