Paper Citation Record · LEDGER

Development and optimization of physics-informed neural networks for solving partial differential equations

As of 21 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2502.02599.

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

pith.paper-citation-record.v1
2502.02599 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:02:50.933415Z

measured 5 of 5 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:23:09.879149Z

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

4 of 4 outbound references displayed

verified exact0
verified fuzzy3
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation ca08327f-e408-48f1-84e4-7fd92dd25e17 · outbound

This paper cites meshless.

Development and optimization of physics-informed neural networks for solving partial differential equations meshless

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:02:51.058463Z

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.

Observation 7625632d-7621-4674-93a6-6c90b8916e58 · outbound

This paper cites It provides significant applications to physics and engineering, modeling electrostatics, heat conduction, and fluid dynamics among many others.

Development and optimization of physics-informed neural networks for solving partial differential equations It provides significant applications to physics and engineering, modeling electrostatics, heat conduction, and fluid dynamics among many others

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:02:51.044292Z

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.

Observation 8d199959-ca55-4e01-b704-fd0f68187f00 · outbound

This paper cites The data to be used in these tasks were sampled from a given range by using the Latin Hypercube Sampling (LHS) technique.

Development and optimization of physics-informed neural networks for solving partial differential equations The data to be used in these tasks were sampled from a given range by using the Latin Hypercube Sampling (LHS) technique

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:02:51.027074Z

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.

Observation e17741c7-2e5a-4516-ba2d-fa67bb1f4b33 · outbound

This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.

Development and optimization of physics-informed neural networks for solving partial differential equations Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T17:02:50.933415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 539ea80d-3af0-4e3d-a742-802b3fec4150 · inbound

Overcoming the Limits of Finite Difference Method; Physics-Informed Neural Network for Noisy High-Dimensional Heat Diffusion cites this paper.

Overcoming the Limits of Finite Difference Method; Physics-Informed Neural Network for Noisy High-Dimensional Heat Diffusion Development and optimization of physics-informed neural networks for solving partial differential equations

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-06-27T20:31:14.388859Z

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.