Paper Citation Record · LEDGER

The Barron Space and the Flow-induced Function Spaces for Neural Network Models

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1906.08039.

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

pith.paper-citation-record.v1
1906.08039 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:31:52.969744Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T17:14:57.108772Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

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 d829c541-b6b1-48f5-b90e-ce3fb3bb8280 · inbound

A deformation-based framework for learning solution mappings of PDEs defined on varying domains cites this paper.

A deformation-based framework for learning solution mappings of PDEs defined on varying domains The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T04:31:52.969744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9771e437-ac43-4076-9c52-23e50574d8b9 · inbound

Momentum-Accelerated Richardson(m) and Their Multilevel Neural Solvers cites this paper.

Momentum-Accelerated Richardson(m) and Their Multilevel Neural Solvers The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T18:20:24.942673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e1bb09a-fc88-428a-b68d-8136c991c185 · inbound

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals cites this paper.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T22:51:28.555875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b82c26c-015e-47ba-8902-13df3cd37735 · inbound

Shallow neural network yields regularization for ill-posed inverse problems cites this paper.

Shallow neural network yields regularization for ill-posed inverse problems The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T21:20:53.252466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec63ddb3-2ac6-4282-a635-c4a8483bca12 · inbound

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations cites this paper.

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 115

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:31:13.984578Z

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 ca7f0125-77d4-4f56-9d83-14df45e505a3 · inbound

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations cites this paper.

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-30T17:14:57.110127Z

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.