Paper Citation Record · LEDGER

A condensing approach to multiple shooting neural ordinary differential equation

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.00724.

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

pith.paper-citation-record.v1
2506.00724 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:57.133605Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

27 of 27 outbound references displayed

verified exact1
verified fuzzy18
unresolved8
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 262ac8bb-fb87-459a-8df5-92334916c33b · outbound

This paper cites Neural ordinary differential equations.

A condensing approach to multiple shooting neural ordinary differential equation Neural ordinary differential equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:55.234926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46e4a8e6-0f3f-4a31-8c34-f8ad91ef8e83 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

A condensing approach to multiple shooting neural ordinary differential equation Universal Differential Equations for Scientific Machine Learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:55.284857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb543fe4-e415-4b78-ab7d-6b0262784650 · outbound

This paper cites Solution of a class of multistage dynamic optimization problems.

A condensing approach to multiple shooting neural ordinary differential equation Solution of a class of multistage dynamic optimization problems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.529941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 99a7fa8a-af92-481d-a975-94dec93499cd · outbound

This paper cites Solution of a class of multistage dynamic optimization problems.

A condensing approach to multiple shooting neural ordinary differential equation Solution of a class of multistage dynamic optimization problems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.342933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 26113057-8bcc-4660-abbe-dc817328c712 · outbound

This paper cites A multiple shooting algorithm for direct solution of optimal control problems.

A condensing approach to multiple shooting neural ordinary differential equation A multiple shooting algorithm for direct solution of optimal control problems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:05:00.163677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7bed4210-d25d-410b-8513-4e0e83b1dcc6 · outbound

This paper cites Fast direct multiple shooting algorithms for optimal robot control.

A condensing approach to multiple shooting neural ordinary differential equation Fast direct multiple shooting algorithms for optimal robot control

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:59.956908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fc9174ac-fdb5-40cd-9817-45bdc80f905d · outbound

This paper cites Differentiable multiple shooting layers.

A condensing approach to multiple shooting neural ordinary differential equation Differentiable multiple shooting layers

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:59.683026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0cb014c7-fb1b-4db4-ac8c-a2d9c10a4799 · outbound

This paper cites A parareal in time procedure for the control of partial differential equations.

A condensing approach to multiple shooting neural ordinary differential equation A parareal in time procedure for the control of partial differential equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:59.426053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f74d01ff-64b2-4c4e-8c47-b5769d2402f9 · outbound

This paper cites Multiple shooting for training neural differential equations on time series.

A condensing approach to multiple shooting neural ordinary differential equation Multiple shooting for training neural differential equations on time series

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:55.840915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3b3d4f0-2ee6-4ca4-ad7d-3804f449459a · outbound

This paper cites Two-stage approach to parameter estimation of differential equations using neural odes.

A condensing approach to multiple shooting neural ordinary differential equation Two-stage approach to parameter estimation of differential equations using neural odes

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:59.206994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2e943c11-9d4d-4132-a72b-001c93ad87b9 · outbound

This paper cites Physics-informed neural networks with hard linear equality constraints.

A condensing approach to multiple shooting neural ordinary differential equation Physics-informed neural networks with hard linear equality constraints

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.998980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1feed40a-ceb7-4a42-8648-b314a95f269e · outbound

This paper cites Expressing linear equality constraints in feedforward neural networks.

A condensing approach to multiple shooting neural ordinary differential equation Expressing linear equality constraints in feedforward neural networks

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:04:57.310598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 70f1c97a-d84c-47ee-8774-a17f8b8b7e32 · outbound

This paper cites Enforcing analytic constraints in neural networks emulating physical systems.

A condensing approach to multiple shooting neural ordinary differential equation Enforcing analytic constraints in neural networks emulating physical systems

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:56.161991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44ba8373-99d2-48b0-b070-db4c306177d8 · outbound

This paper cites The lifted newton method and its application in optimization.

A condensing approach to multiple shooting neural ordinary differential equation The lifted newton method and its application in optimization

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.836862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7bdfad31-5ee5-4021-b784-cd8a93a4cb50 · outbound

This paper cites Programming massively parallel processors: a hands-on approach.

A condensing approach to multiple shooting neural ordinary differential equation Programming massively parallel processors: a hands-on approach

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.699749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2839665a-efae-424a-ac09-6a0d5708219e · outbound

This paper cites Evaluating derivatives: principles and techniques of algorithmic differentiation.

A condensing approach to multiple shooting neural ordinary differential equation Evaluating derivatives: principles and techniques of algorithmic differentiation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:56.408540Z

Source-reported events for the cited work

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Observation ae1fb580-1af1-4b66-8c4d-d460dffa0fb5 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

A condensing approach to multiple shooting neural ordinary differential equation Adam: A Method for Stochastic Optimization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:56.479087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a59615c-67cc-458c-a010-239312f68084 · outbound

This paper cites Lotka-volterra population models.

A condensing approach to multiple shooting neural ordinary differential equation Lotka-volterra population models

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:56.557621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3af37e54-c889-4998-8d2c-99baaa1ee689 · outbound

This paper cites Oscillatory behavior in enzymatic control processes.

A condensing approach to multiple shooting neural ordinary differential equation Oscillatory behavior in enzymatic control processes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.515868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 823693f7-95ee-4fe8-877f-f3a004c01038 · outbound

This paper cites Dynamics of the van der pol equation.

A condensing approach to multiple shooting neural ordinary differential equation Dynamics of the van der pol equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.295162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 81eff32f-f05d-47ca-9a26-451062249a7d · outbound

This paper cites Impulses and physiological states in theoretical models of nerve membrane.

A condensing approach to multiple shooting neural ordinary differential equation Impulses and physiological states in theoretical models of nerve membrane

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:56.762128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 243607a5-ffbc-4d22-bf8a-165ae60648fa · outbound

This paper cites Parameter estimation for systems of ordinary differential equations.

A condensing approach to multiple shooting neural ordinary differential equation Parameter estimation for systems of ordinary differential equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.125740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4da5f14-4442-4415-8bb4-1dd267ae2137 · outbound

This paper cites Chemical instabilities and sustained oscillations.

A condensing approach to multiple shooting neural ordinary differential equation Chemical instabilities and sustained oscillations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:58.000862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 07b58ab9-9809-4164-a3ad-e7536e8960b9 · outbound

This paper cites A model-based initial guess for estimating parameters in systems of ordinary differential equations.

A condensing approach to multiple shooting neural ordinary differential equation A model-based initial guess for estimating parameters in systems of ordinary differential equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:57.864793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 57568cc1-e58f-4e2e-973c-778bdc353367 · outbound

This paper cites An analysis of the belousov-zhabotinskii reaction.

A condensing approach to multiple shooting neural ordinary differential equation An analysis of the belousov-zhabotinskii reaction

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:57.758693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 59e8ab0c-bed2-49c8-a765-c331c3419fa2 · outbound

This paper cites Promoting global stability in data-driven models of quadratic nonlinear dynamics.

A condensing approach to multiple shooting neural ordinary differential equation Promoting global stability in data-driven models of quadratic nonlinear dynamics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:57.638777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f78f67e7-68ee-4fa7-b541-3767f101f40b · outbound

This paper cites Switching from simple to complex oscillations in calcium signaling.

A condensing approach to multiple shooting neural ordinary differential equation Switching from simple to complex oscillations in calcium signaling

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:57.538863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.