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Paper Citation Record · LEDGER

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

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 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 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:20:53.252466Z

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 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.

source=pdf_text observed=2026-08-03T21:20:53.252466Z digest=sha256:eb74d05cc188919b653a865a3c89a93cc3df1ffdd1aba2e5be1dcf7f689de983

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

source=arxiv_source observed=2026-05-22T07:28:49.152516Z digest=sha256:08a8cb5916cff3883eee29908a54375575b662147573093c7ae0cae42bac244d

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

source=arxiv_source observed=2026-06-30T17:08:54.066574Z digest=sha256:4af232fc2a321f88d0f801973c9758beb3bedc822d8ae25826ea6b0c26e6e321