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Paper Citation Record · LEDGER

Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2007.06007.

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

pith.paper-citation-record.v1
2007.06007 v4

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 2026-08-03T03:21:49.777198Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T17:14:57.097242Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 57285470-8ce0-4c50-8522-9303ed829c56 · inbound

Control, Optimal Transport and Neural Differential Equations in Supervised Learning cites this paper.

Control, Optimal Transport and Neural Differential Equations in Supervised Learning Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-05-22T23:52:16.961219Z

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=2026-05-22T23:50:21.087380Z digest=sha256:560fcf76775a1f068ca21a4e141a5eb6ad6f752d8433d816b6a0d29192feda17

Observation 077950f5-1ab5-465d-bdee-dc0ab512dab6 · 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 Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 157

Resolution
unresolved
no resolver link, observed 2026-08-03T03:21:49.777198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:21:49.777198Z digest=sha256:0d0f7e5e53b6827d3d7199e532e84960f08d137f8b9d1d01d190b912b3d5ff53

Observation eae4d572-a925-4937-b6b1-278cbf158237 · inbound

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations cites this paper.

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 170

Resolution
verified exact
arxiv_id, observed 2026-05-22T07:31:13.966330Z

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=2026-05-22T07:28:49.152516Z digest=sha256:ba7469720152a30f3c034aa432577b715c3673e0d5bc9cd7f0d61d79f4727aca

Observation 9567071e-93c8-4892-8686-25df45f8c6c5 · inbound

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations cites this paper.

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-06-30T17:14:57.098663Z

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=2026-06-30T17:08:54.066574Z digest=sha256:e1e8a796ba3f01b0a005bec253ec4fa8b5731c3b3d1ed79bb51b50698e1c7c95

Observation 86726da7-7532-4742-b3a2-e0aef6817d2e · inbound

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One cites this paper.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-11T16:40:19.220722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T16:40:19.220722Z digest=sha256:c88434ffe05570768c3169a7488b5cc5b0099e7c17acb757dd95c9e1662460af

Observation 96acae49-ca29-42a7-861b-93da9975fca1 · inbound

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One cites this paper.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T16:20:15.771616Z digest=sha256:deefbb07e815dada055b50b0b2ec4dc482010db08524b1989e9dd40b513da9de