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Paper Citation Record · LEDGER

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces

As of 4 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2605.07052.

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

pith.paper-citation-record.v1
2605.07052 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-11T01:04:55.901133Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T12:42:40.577718Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T06:17:42.561919Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy26
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2fae281a-dc29-4b3c-9451-d9cd8f8050ab · outbound

This paper cites From time series to linear system—part i. finite dimensional linear time invariant systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces From time series to linear system—part i. finite dimensional linear time invariant systems

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.072759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:96c9e594a330fa5da83ead34f59e0195d45324b538207cf67da375a9103db0f0

Observation 8f7e25c2-9de4-4205-8268-c4604c835de1 · outbound

This paper cites Paradigms and puzzles in the theory of dynamical systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Paradigms and puzzles in the theory of dynamical systems

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.078687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:ec51a9c7832d89eb61f86d42de644b8f3b20c3c95848404a5d12f2ab0060d395

Observation 75c667e2-4a0f-437d-99f0-86ce66e140b0 · outbound

This paper cites A note on persistency of excitation.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces A note on persistency of excitation

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.113751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:baa24730b2b050021df46dfce4f2859952b80c9988f93ae423963093122c14f0

Observation 83aac2fe-ad48-484a-b980-26a8257e2e87 · outbound

This paper cites Markovsky, J.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Markovsky, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.116894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:4bcd7080387d83fa393f7931d64fe42715ca38058cb586195bdca4060f1aebea

Observation d32b574b-c1f6-4aa5-abb7-364bff217940 · outbound

This paper cites Data-driven simulation and control.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Data-driven simulation and control

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.059186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:9e53fdd75c5764c642ecc84865b5f1cd725e02a1c7b7352b9bc1ba11b024740f

Observation 22b3cf4d-f25b-45f3-876f-161c34b9d5f6 · outbound

This paper cites Data-enabled predictive control: In the shallows of the deepc.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Data-enabled predictive control: In the shallows of the deepc

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.069576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:6bddd6f6dbf49d293877b8fbf5304f5404aa5c91c40c23304af1803a9c364eee

Observation 192c9ddc-2797-4844-b01a-7db5503387c4 · outbound

This paper cites Bridging direct and indirect data-driven control formulations via regularizations and relaxations.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Bridging direct and indirect data-driven control formulations via regularizations and relaxations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.120812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:63c8a57db5c54f9c482526159a5f97e09f47efcd2dd3bfc9929fbb748bfe1ad4

Observation 95820063-3fe7-46aa-b327-f0cc6b1f0310 · outbound

This paper cites The informativity approach to data-driven analysis and control.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces The informativity approach to data-driven analysis and control

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.055981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:3df49648b458dca05263cd5528eb400f3d6e02dc9ba274c66ba66bfdae890d4c

Observation 6c231b4f-52ca-4c60-b5a0-db8b2439e378 · outbound

This paper cites Data-driven dynamic interpolation and approximation.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Data-driven dynamic interpolation and approximation

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.091924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:3bba6907b2be66a5753ab16319d51045825bb12cf6851ac2b5bdea06972bd4f7

Observation b23492db-b450-4c97-a2aa-a64a5833e7d3 · outbound

This paper cites Data-driven internal model control of second-order discrete volterra systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Data-driven internal model control of second-order discrete volterra systems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.087217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:bdbdbdb5de984373ba9b463abe184af0f6db8a90c0f832ede84ea4e7ae1c8b61

Observation b69b6c30-0532-454c-a034-63c1cd8e0848 · outbound

This paper cites Data-based system analysis and control of flat nonlinear systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Data-based system analysis and control of flat nonlinear systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.100568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:9cd56fa7234646759fcb1e6d0fb676f087ff1499f8bc882419ca505609656737

Observation 70654997-fcda-4ff3-97ab-336f8611d895 · outbound

This paper cites A trajectory-based framework for data-driven system analysis and control.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces A trajectory-based framework for data-driven system analysis and control

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.131471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:3101d19153f3b4227c70bf7a39f9cf40a66e9359dbfeb2c9e3eb12c492d9a52e

Observation 4f4c0086-34ca-4906-90be-b60811a4d3ab · outbound

This paper cites Willems’ fundamental lemma for nonlinear systems with koopman linear embedding.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Willems’ fundamental lemma for nonlinear systems with koopman linear embedding

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.128610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:493345c4297480dbd186d596028ad933acfbe6a7e7b604a66397eb6506dcfe6c

Observation 38a5d5e5-abe8-4a3f-a417-a00372fe4c5f · outbound

This paper cites Robust and kernelized data-enabled predictive control for nonlinear systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Robust and kernelized data-enabled predictive control for nonlinear systems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.075702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:ab9c8ca714bdd93aa1e2d56823be8a133dbbfc3df44a87682ec41e45bcfc1968

Observation e01caf49-edf0-400e-a42f-332910d134db · outbound

This paper cites Exploring the links between the fundamental lemma and kernel regression.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Exploring the links between the fundamental lemma and kernel regression

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.134987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:1dac1b964a0693c78ef7006216074cee93bd2be898b0c66958b01b242d1d08f6

Observation 53ca31e6-f3e1-4258-a99f-8277254102e7 · outbound

This paper cites A generalized rep- resenter theorem.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces A generalized rep- resenter theorem

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.048486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:df414ba88c77863c918a2784d934f514c54ec3e5f23ee08c6696a7cacaea97ae

Observation 4ec8fe32-db32-41ee-8dde-d423a2e34d87 · outbound

This paper cites Van Overschee and B.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Van Overschee and B

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.079025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:18cc4553461732c5ac7fc9c5de13fa4bbb25a97ac8ad48a68762a775a8d636a0

Observation 94d73ff5-4734-4a7c-839c-292869f5ad3f · outbound

This paper cites Berlinet and C.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Berlinet and C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.067279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:97d630f6b7e94a27c6ee9d6864fd4f0cd321f1cd9372d84ada6d6f04179fe5a0

Observation 33bc1529-940f-4b43-b6e0-97d04cecc659 · outbound

This paper cites Theory of reproducing kernels.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Theory of reproducing kernels

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.124064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:5f0e4b7cf0747a77a61efe73d59486ea23e6179b733d64a87da3020ed2df5097

Observation 39163c19-c3ac-4c63-ae1f-53a690ba8bfb · outbound

This paper cites Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.109512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:08c44a1bc78e1e8d90b157339d38f836a00be9a9023c4caa3db0f204fd85da31

Observation 85a48b05-062d-4286-aeaf-22345104b9c7 · outbound

This paper cites Persistence of excitation in extended least squares.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Persistence of excitation in extended least squares

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.071499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:18b79673f58e4b69f2477d9adfd4ed57a92d002023f08afadd1c911c969baf2d

Observation 1e04610d-9f24-44a4-a9c8-f15d7a595793 · outbound

This paper cites Persistence of excitation in linear systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Persistence of excitation in linear systems

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.075479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:edba2d7b8bba886b2522fae08ba6d1ee8389663cffc07d7f37c212c3f5356a2d

Observation 93f8cd74-fa78-40bb-81cb-9a4dc0891c27 · outbound

This paper cites A best approximation frame- work and implementation for simulation of large-scale nonlinear systems.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces A best approximation frame- work and implementation for simulation of large-scale nonlinear systems

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.083422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:5cb2be518e003b1d10c7acc7921f7c19514a5bede9bf5fc9438227c98a7f1fdc

Observation 928ae9f3-0152-427f-a8cf-278550f010f1 · outbound

This paper cites On learning vector-valued functions.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces On learning vector-valued functions

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.105158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:61b121f646ba86d0cdac8773616d6d585e4f8c23b7f36d3c758b7145739d1781

Observation fa2203d2-2497-4ea8-bde7-1fdddca66ec3 · outbound

This paper cites Interpolating classifiers make few mistakes.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Interpolating classifiers make few mistakes

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.095829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:0017356e68eeeb661de570c0883788fcdb661569a5bf23800471850e0d7020c2

Observation 8c5ca551-4fcc-4e89-b5b6-70e223273739 · outbound

This paper cites Willems’ fundamental lemma for state-space systems and its extension to multiple datasets.

A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces Willems’ fundamental lemma for state-space systems and its extension to multiple datasets

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:20:27.044928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:04:55.901133Z digest=sha256:47cc6009c94bc403eb4cfbd5ca8f9d44b6e42d2e92120a96948c594c6d0d7f98

Pith citing papers

Observation 45e20c44-438a-4b3a-9680-230198dda3fb · inbound

Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space cites this paper.

Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space A Behavioral Framework for Data-Driven Modeling of Nonlinear Systems in Vector-Valued Reproducing Kernel Hilbert Spaces

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-03T06:17:42.563359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-27T12:42:40.577718Z digest=sha256:82e2546b978a3dc9bef0dd238ea88b9f0d739fe0429ead80c0c906de11d594a0