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Paper Citation Record · LEDGER

Universal Approximation Property of Neural Ordinary Differential Equations

As of 18 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 2026-08-17T06:30:58.91139+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=sha256:656cdc53297c50b2e8fcc913408093e8843cdb022fead4fac0719ce702790c25

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=sha256:297ff0f80c9c2a1fdd3e14c30b2ac73d7a579faaebec89f8b3b79af51f64ea09

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-12T05:21:34.502248Z digest=sha256:88babdb6483cdde07c107427cb43b7fe38381e9852486f185c6b935294604a5d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-26T05:48:39.542855Z digest=sha256:2db072ccf992bec82ec291d5056c6eb89870e72d5280271e42273637f1569ae4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T02:46:07.169644Z digest=sha256:5caebb77ffeaadf9cef34768991a14a5a7b44bbf8f4b0624a8940e5e8fe8b543

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T02:42:00.982282Z digest=sha256:a175f59e47df00790b648bb888e1dde365e2c670a17e3e4735ffbd46604f6dfc