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Paper Citation Record · LEDGER

Universal Approximation Property of Neural Ordinary Differential Equations

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2012.02414.

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

pith.paper-citation-record.v1
2012.02414 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T00:56:24.240833Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:49:52.989098Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 953a1ff6-a5ae-445d-93dc-4626c3032662 · inbound

Distribution learning via neural differential equations: minimal energy regularization and approximation theory cites this paper.

Distribution learning via neural differential equations: minimal energy regularization and approximation theory Universal Approximation Property of Neural Ordinary Differential Equations

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-09T00:56:24.240833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T00:56:24.240833Z digest=sha256:cb1b44c151d996bc43dcfa00f094236dac78d4fbcc68b5a49eccea4429c475bf

Observation 84d19757-2d81-4da8-b3ef-c878d203419e · inbound

Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees cites this paper.

Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees Universal Approximation Property of Neural Ordinary Differential Equations

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-03T03:21:49.785721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:21:49.785721Z digest=sha256:ea5f5c32b8bfd497e2744df35c809612818bf2f9e19153e698f03c9cb32c5fdb

Observation 7164ff1e-ce08-491b-8222-dcf55d62b2b8 · inbound

Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality cites this paper.

Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality Universal Approximation Property of Neural Ordinary Differential Equations

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:25.454510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-12T05:21:34.502248Z digest=sha256:e2d1a3a6c1cdbeefd2152c70a8dd58baa4a1ab0ea8ed2324dd650e777b75137e

Observation 0252cae8-6218-43dc-bcab-c883ec3f0cc6 · inbound

Approximating velocity fields with planted attractors via Neural-ODEs for classification purposes cites this paper.

Approximating velocity fields with planted attractors via Neural-ODEs for classification purposes Universal Approximation Property of Neural Ordinary Differential Equations

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:52.990568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T05:48:39.542855Z digest=sha256:1e67a5c1935eeb575522888dd52e94c6432ce2d2b1a2939f00664c08221b0bec

Observation 0328a04f-bb13-4fe9-b369-7ff473762480 · inbound

Approximation and Controllability of Nonlinear Control-Affine Systems via Semiautonomous Neural Ordinary Differential Equations cites this paper.

Approximation and Controllability of Nonlinear Control-Affine Systems via Semiautonomous Neural Ordinary Differential Equations Universal Approximation Property of Neural Ordinary Differential Equations

Reference 9

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T02:54:10.344621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T02:46:07.169644Z digest=sha256:2f3d80c5c97976d2383c48ea458c2f2656872bd94a381d90b7ebb3be9100135e

Observation 2e3ccb5e-afd6-4abb-8062-c4fc760aac0d · inbound

Turnpike and Sparse Optimal Control for Semiautonomous Neural ODEs cites this paper.

Turnpike and Sparse Optimal Control for Semiautonomous Neural ODEs Universal Approximation Property of Neural Ordinary Differential Equations

Reference 6

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T02:44:11.459218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T02:42:00.982282Z digest=sha256:f01630530177d82236103db6632dd4b56976ec5f7e19acce0db42af24442bfb9