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Paper Citation Record · LEDGER

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems

As of 7 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2501.00820.

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

pith.paper-citation-record.v1
2501.00820 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T05:56:06.658497Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dbf39e51-2f1d-4f2d-bd1a-9d2f914225e9 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.200138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:983723a295d0499fd6809d2200f1db66aa2052c825bccb3d1b5c0ecfccd85087

Observation c9ad8ef7-3172-4474-b518-1e64245cdae6 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.206308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:ff48397f29724ad0bbf656f171f1f545e0579cef6f0b9f539bc9b39562eb5f12

Observation f93f7b32-42f4-4daf-b22e-69fb64b10291 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.186265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:52d94bc660383082579e1a22e1408bc27d6eb94400955cdad330abeea55bf96b

Observation 24f9bbf2-eb1f-4c63-ad97-5a98eeb02623 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.189660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:2e0bd617da81855c54b01b30aac0ffd70991da79c288c420732b41009d145777

Observation 2d0466df-725f-42d2-a9c2-73803145a180 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.192734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:a5ff46c526d268a56a865ed6fe2209b28ac3118a977bb22778f4ac16723c5f08

Observation 89791fb8-de9d-423e-8fcf-4f0b12569b02 · outbound

This paper cites Deb and H.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Deb and H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:57:37.182745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:a3e69b463f9ab6abad29c7098ee2d69120e2846b8dbe41984ed4f22606b8758a

Observation 5679f439-215a-4cc9-9a4b-cea8de076dac · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.159359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:89697137a666a1f35ce1d4808b18ef662c0b3c49e5ccffbca33e196f50a1b2fd

Observation 2e46dc7e-4491-4a1a-97fb-5287131160e1 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.164119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:26a8bfb039fba96f3327db140dcc7a68fba9f39b8aab6a400e0e8b4f4da6936a

Observation 6695a8e2-ce45-46e4-92ca-17544a9d146e · outbound

This paper cites Kennedy and R.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Kennedy and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:57:37.149291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:accebaa8bbc4dd0a77c15847e5d715e3d80db183f3ba46c3cf08bac1a10c78e2

Observation 9892c597-9b63-449a-b2aa-4f9232a79db5 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.179492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:37a4210563fb196eaeaa65915b7336b31a655185d90b82d5c6db731bd8192a5a

Observation e0538e67-62e6-4ef2-9048-8b71d4effd14 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.170368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:68c3b50ff70fe07c5cf4a913199875652f2281f171342905d60e0bed02238b95

Observation ded670c8-8afa-4ddb-bd5e-e08f1890d448 · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.196637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:c6d288b48c0b893b9b8599f5874c892c931b9042405eeca7fbff6eb264915c00

Observation f1ae794b-e9b2-45cf-b5a0-ce771e80cddc · outbound

This paper cites Papoulis.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Papoulis

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:57:37.155985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:28ca69d9c2b8a98c19e3d075da0e927cd63ca055918c3c96a335b275a3ed27ba

Observation 9c3cdd17-702a-487a-9267-b33dd439c5fe · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.176025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:c6e9cb5a6b978a07f69a84b8192d7628dea0ba2559bebe974cf12d13acfa6596

Observation 24405d51-8888-45e5-bade-4c51b63ca7eb · outbound

This paper cites Schetzen.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Schetzen

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:57:37.167287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:eedfb37e717bd62b9e4dc4584aad6f755fc72bd0e9f2ff0ad3c7bd3142188325

Observation d2ea7479-57e8-45f4-b7d1-427835f3914c · outbound

This paper cites Shi and R.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Shi and R

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T05:57:37.203243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:4357af5f957713a3d68135061575bbdd3cb2eed49b444a541c305c05dc52dac0

Observation f51f6048-29e6-44ce-83fc-8029ec9a94ad · outbound

This paper cites an unresolved cited work.

Piecewise Linear Approximation and PID Control Optimization for Nonlinear Systems Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-23T05:57:37.153008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-23T05:56:06.658497Z digest=sha256:f6c8ef38b89cf138abc4cd9d577cb244ac8a62b64e313a9807831ac9bd7e69ee

Pith citing papers

No inbound Pith citation observations are available.