Paper Citation Record · LEDGER

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods

As of 20 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2412.01181.

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

pith.paper-citation-record.v1
2412.01181 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:41:45.363196Z

measured 15 of 15 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 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 exact3
verified fuzzy3
unresolved3
parse uncertain0
malformed identifier5
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 852ecdf1-13ad-406c-89bb-9d0eb6e8aba4 · outbound

This paper cites an unresolved cited work.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Unresolved cited work

Reference 4

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T04:41:45.690946Z

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 7de5c171-9992-4eae-8974-c3ef60040a1e · outbound

This paper cites For comparison, we show the explicit exponential integrating factor Euler method method alongside a few implicit schemes.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods For comparison, we show the explicit exponential integrating factor Euler method method alongside a few implicit schemes

Reference 5

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T04:41:45.900208Z

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 01f87f1d-e8dd-49e8-a458-d94c9037caef · outbound

This paper cites The stiffness can be seen by the fact that each of the variables approach steady-state at a different timescale.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods The stiffness can be seen by the fact that each of the variables approach steady-state at a different timescale

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T04:41:45.824819Z

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 395412b4-d14b-48fc-ad13-d92abb98b02b · outbound

This paper cites an unresolved cited work.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Unresolved cited work

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T04:41:45.609719Z

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 91f587e4-574b-4658-8a74-cbac12ac717e · outbound

This paper cites an unresolved cited work.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Unresolved cited work

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-12T04:41:45.535688Z

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 e1ce4933-a3d7-4748-a86f-ead85ebb95da · outbound

This paper cites Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:41:45.411010Z

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 a8866a53-f6ff-473e-b3b3-94129994015f · outbound

This paper cites an unresolved cited work.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Unresolved cited work

Reference 17

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T04:41:45.763903Z

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 91901113-4986-423b-918e-b1517a1317fa · outbound

This paper cites Bayesian Neural Ordinary Differential Equations.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Bayesian Neural Ordinary Differential Equations

Reference 63

Resolution: malformed identifier; no resolver link, observed 2026-08-12T04:41:45.337814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7170f963-9d88-499a-be37-cafdfc280e2d · outbound

This paper cites Stabilized neural ordinary differential equations for long-time forecasting of dynamical systems,.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Stabilized neural ordinary differential equations for long-time forecasting of dynamical systems,

Reference 226

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:41:45.929712Z

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 96b77f1f-920a-4323-997c-c673782e71d3 · outbound

This paper cites Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations

Reference 1960

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:41:45.397248Z

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 1a9e2c66-4031-4f8e-9ead-6b79a5f3caf6 · outbound

This paper cites High performance computing of the matrix exponential,.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods High performance computing of the matrix exponential,

Reference 2003

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:41:45.910384Z

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 41b0a012-8d15-477a-b509-d23935c234be · outbound

This paper cites On Neural Differential Equations.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods On Neural Differential Equations

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-12T04:41:45.341379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16432055-4fc1-4821-af92-a6c706d42fcc · outbound

This paper cites Learning Neural Event Functions for Ordinary Differential Equations.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Learning Neural Event Functions for Ordinary Differential Equations

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-12T04:41:45.344467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad97c4e4-402d-4ba0-9738-1dbfa62c9c85 · outbound

This paper cites Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-12T04:41:45.350756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207e4dd6-0eae-4162-8468-fa614569f04a · outbound

This paper cites Generalized integrating factor methods for stiff pdes,.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Generalized integrating factor methods for stiff pdes,

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:41:45.920173Z

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.

Pith citing papers

No inbound Pith citation observations are available.