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Paper Citation Record · LEDGER

Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.16189.

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

pith.paper-citation-record.v1
2404.16189 v4

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 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T10:56:10.330401Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5b4ca24a-7110-4a66-a8d8-63d8bc49f69a · inbound

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds cites this paper.

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-08-18T02:13:04.572550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T10:56:10.330401Z digest=sha256:3162a410caec450f43f192aa8cf37c601d93331f869fd3355e006d911e8cc567

Observation a489ed10-e43a-4869-ac14-a3fcd5b86623 · inbound

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving cites this paper.

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-08-18T02:13:04.572550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-26T08:58:08.138412Z digest=sha256:60448eca9bcb9f2038d71094448c5cdfa0e72e1e47b567ff83cc6539385fcae7