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Paper Citation Record · LEDGER

Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.07728.

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

pith.paper-citation-record.v1
2412.07728 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:22:49.144572Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 f4241aeb-42b5-49b2-b7c6-58c53ab1c766 · inbound

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method cites this paper.

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-31T01:28:52.255571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T01:28:52.255571Z digest=sha256:767511eb8cfc677a195e2e86f2095e9a2ba301d587f73b5053b6c9f308baafb7

Observation bc115aac-ee50-49ef-bdc5-17ae04a7d49c · inbound

The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning cites this paper.

The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-01T01:22:49.144572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T01:22:49.144572Z digest=sha256:db5c62ec7c0a989bd7651feddd9f7207d6204737302946c11d8f2ac154b80a3d