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Paper Citation Record · LEDGER

Subspace method based on neural networks for solving the partial differential equation in weak form

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.08513.

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

pith.paper-citation-record.v1
2405.08513 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 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:24:51.240174Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:28:58.399298Z

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 252db9b4-68eb-43e5-9e4b-199c70011d01 · inbound

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy cites this paper.

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy Subspace method based on neural networks for solving the partial differential equation in weak form

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T23:24:51.240174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:24:51.240174Z digest=sha256:839518cd3d410aa000c1d52e6fd9d46378612976f52f95660d9310da38bc7ddb

Observation 144572ed-1f2d-4b17-b80e-156578fd656e · inbound

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs cites this paper.

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs Subspace method based on neural networks for solving the partial differential equation in weak form

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:28:58.481165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T10:28:55.373467Z digest=sha256:98dcab32f3791d3ddbb4184d82646da880e6ae162ba5f5496b3f3f84113ca4da