Paper Citation Record · LEDGER

NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2107.09443.

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

pith.paper-citation-record.v1
2107.09443 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:28:22.092172Z

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

8
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 083f10b2-c5e2-4288-855c-301ef46fb723 · inbound

Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networks cites this paper.

Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networks NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T04:48:31.962821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dac723bf-275a-4ed0-b115-64ba2f3c389c · inbound

jinns: a JAX Library for Physics-Informed Neural Networks cites this paper.

jinns: a JAX Library for Physics-Informed Neural Networks NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T12:29:34.686969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52db0f8d-564a-4b25-97b6-2d928f6ba1bf · inbound

An introduction to Neural Networks for Physicists cites this paper.

An introduction to Neural Networks for Physicists NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-15T20:28:22.092172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e8ac49b-a2fb-42e9-807d-a1fe757fa80e · inbound

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems cites this paper.

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.176251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89267ae5-40f5-4914-9c4b-8290fefe07b5 · inbound

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia cites this paper.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.923391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67fdf2eb-717b-4690-8379-e8913745388d · inbound

ViscoReg: Neural Signed Distance Functions via Viscosity Solutions cites this paper.

ViscoReg: Neural Signed Distance Functions via Viscosity Solutions NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:27:42.739975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2faecd17-8f5b-44c7-831d-d89d0f7aea1d · inbound

Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements cites this paper.

Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-18T19:22:49.308347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7645a29-68e8-46f5-8abf-b10a659244aa · inbound

Deep Wave Network for Modeling Multi-Scale Physical Dynamics cites this paper.

Deep Wave Network for Modeling Multi-Scale Physical Dynamics NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T17:31:04.995887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 15a75d07-c805-4561-8b44-ebb433623d6f · inbound

jNO: A JAX Library for Neural Operator and Foundation Model Training cites this paper.

jNO: A JAX Library for Neural Operator and Foundation Model Training NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:11:19.387298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5c4f1921-a14a-4466-88ae-0d1d68b3b557 · inbound

A Scoping Review of Physics Informed Machine Learning for Wave Propagation Modeling in Seismology cites this paper.

A Scoping Review of Physics Informed Machine Learning for Wave Propagation Modeling in Seismology NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 90

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:56:23.871721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.