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Paper Citation Record · LEDGER

Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning

As of 3 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1811.08782.

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

pith.paper-citation-record.v1
1811.08782 v1

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 2026-08-03T06:30:56.289259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T09:44:17.469727Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-24T09:46:07.408005Z

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 9c37ba12-e407-4f41-b2f6-a54b91ff71c4 · inbound

Optimal Trading in Automated Market Makers with Deep Learning cites this paper.

Optimal Trading in Automated Market Makers with Deep Learning Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-05-24T09:46:07.412385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-24T09:44:17.469727Z digest=sha256:570ef29f0c778634a1eb5a4c79792bd8b243a694f9498022e6f8781b6fbd3d43

Observation 96aa1207-7531-4849-980d-d0d695d5df8f · inbound

A physics-informed neural network approach to solve the spatially inhomogeneous electron Boltzmann equation cites this paper.

A physics-informed neural network approach to solve the spatially inhomogeneous electron Boltzmann equation Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning

Reference 73

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T17:56:05.366455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-05-08T16:58:20.633728Z digest=sha256:4a2a38568750dee7ba2dc31b5c0aa0905d7481e98b046cd650b1908e2abaa910

Observation 8c2f13bb-db6f-42b5-8904-8c451e0d7532 · inbound

Deep Learning for Solving and Estimating Dynamic Models in Economics and Finance cites this paper.

Deep Learning for Solving and Estimating Dynamic Models in Economics and Finance Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-05-15T01:29:37.417067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-15T01:29:18.160292Z digest=sha256:23c80fdeba731eec5b0c4392e903f336d547e0cf67e27b8cdb9761bededed474