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Paper Citation Record · LEDGER

A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1809.02362.

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

pith.paper-citation-record.v1
1809.02362 v3

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 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:29:47.833466Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T12:39:29.014194Z

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 53b780e7-3f1a-4726-8dda-0cfec6fbde21 · inbound

Deep neural network approximation theory for high-dimensional functions cites this paper.

Deep neural network approximation theory for high-dimensional functions A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:29.018204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T12:37:24.021894Z digest=sha256:2007ea6ca668d9802f514f97bfe9f0cbda1100db117b3371c48c656c214a7ece

Observation 773acfb8-c205-4eb0-85b9-501c54ce97d6 · inbound

Deep Ritz method with Fourier feature mapping: A deep learning approach for solving variational models of microstructure cites this paper.

Deep Ritz method with Fourier feature mapping: A deep learning approach for solving variational models of microstructure A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-08T19:29:47.833466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:29:47.833466Z digest=sha256:a858050796f776d1496ca6d0486c73a322842050e6aa0d34eb5c1cb78b8f15d3