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Paper Citation Record · LEDGER

A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1901.10854.

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

pith.paper-citation-record.v1
1901.10854 v2

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 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:09:59.942163Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:39:29.854276Z

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 1ebe2c1d-4547-40e5-999f-9801a039a1ac · inbound

Space-time error estimates for deep neural network approximations for differential equations cites this paper.

Space-time error estimates for deep neural network approximations for differential equations A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T14:09:59.942163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:09:59.942163Z digest=sha256:cddc8b955a0c039a5a960f4ca0a00e66346843e5ab16f1062703b2304cacf783

Observation d1075d92-4ded-4507-aea7-264bc3ab3d8e · inbound

Deep neural network approximations for Monte Carlo algorithms cites this paper.

Deep neural network approximations for Monte Carlo algorithms A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:39:29.858463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.595744Z digest=sha256:a1d119c9b5390b655f14db6b8273d3ea91c7871a47f4d461c9bf36c840645a79