Paper Citation Record · LEDGER

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems

As of 14 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2509.10945.

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

pith.paper-citation-record.v1
2509.10945 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:27:42.123493Z

measured 15 of 15 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1782b9cc-2575-485e-ba2a-67a6f806f977 · outbound

This paper cites Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Solving Nonlinear and High-Dimensional Partial Differential Equations via Deep Learning

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.050763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6a2a4bc-b324-4390-933c-3c86ac20aed0 · outbound

This paper cites an unresolved cited work.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.149703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80e8d869-5c4b-4b92-b9d4-4171e4e0597a · outbound

This paper cites Cen, Parameter-Uniform Finite Difference Scheme for a System of Coupled Sin- gularly Perturbed Convection-Diffusion Equations,Int.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Cen, Parameter-Uniform Finite Difference Scheme for a System of Coupled Sin- gularly Perturbed Convection-Diffusion Equations,Int

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.255078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7b8a5d2-5494-430b-b7f6-b914cf92dd26 · outbound

This paper cites Goodfellow, Y.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Goodfellow, Y

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.298399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b45c6fe8-dca0-4a18-98d1-d2ef7ea5e790 · outbound

This paper cites Can Physics-Informed Neural Networks beat the Finite Element Method?.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Can Physics-Informed Neural Networks beat the Finite Element Method?

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.375281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57ebe1f6-5c1f-4c8c-b005-a2a23069c93a · outbound

This paper cites Kumar, B.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Kumar, B

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.466956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53c26a60-edd3-47e8-b1a5-a1cfef19195a · outbound

This paper cites Kumar, B.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Kumar, B

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.504783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f656cd11-4ee0-497d-8867-83f56a69466c · outbound

This paper cites Neural Networks for Singular Perturbations.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Neural Networks for Singular Perturbations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.568851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44e3aa33-0965-47af-80f4-9dcf3d138280 · outbound

This paper cites Singh and R.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Singh and R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.671499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ade1b013-5754-4bbd-9d0d-6f2e5929673a · outbound

This paper cites Singh and R.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Singh and R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.751956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d5a7af2-be1a-4076-a606-877d81ec95f3 · outbound

This paper cites Singh and S.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Singh and S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.822356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90a9f68b-7160-4683-9b6e-f3533a3c22e2 · outbound

This paper cites Singh and S.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Singh and S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.893905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79e2a09a-91a2-476d-920b-a85ee6622970 · outbound

This paper cites an unresolved cited work.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:41.964740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a37350e-2d9c-4805-8b6d-f22a1cbad812 · outbound

This paper cites General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:42.052138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23b7e079-f825-4dd5-9af4-c2d1cfca8490 · outbound

This paper cites Yadav and S.

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems Yadav and S

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T17:27:42.123493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.