Paper Citation Record · LEDGER

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2507.09652.

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

pith.paper-citation-record.v1
2507.09652 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:59:13.381462Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T23:19:08.971339Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:22:46.993827Z

Reference resolution

10 of 10 outbound references displayed

verified exact1
verified fuzzy2
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f84369b7-27b1-46e9-ac62-c8d9e20ce2e1 · outbound

This paper cites Computational Efficiency of Multi-Step Learning Echo State Networks for Nonlinear Time Series Prediction.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Computational Efficiency of Multi-Step Learning Echo State Networks for Nonlinear Time Series Prediction

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:12.446939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a03293d2-12ab-4507-9baa-984b842557d7 · outbound

This paper cites PySINDy: A Python package for the sparse identification of nonlinear dynamical systems from data.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data PySINDy: A Python package for the sparse identification of nonlinear dynamical systems from data

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:14.556574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8fa22f7d-806f-4a9b-9de3-5412df9bfe1f · outbound

This paper cites Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “Labyrinth chaos.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “Labyrinth chaos

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:13.322129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ec85d3d-6107-4a51-b31e-6ec7e380f5cc · outbound

This paper cites Chaotic attractor reconstruction using small reservoirs—the influence of topology.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Chaotic attractor reconstruction using small reservoirs—the influence of topology

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T17:59:14.217447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2dfb5dc-d6d1-49d9-bf85-69c7ea12126c · outbound

This paper cites Long-term Forecasting using Higher Order Tensor RNNs.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Long-term Forecasting using Higher Order Tensor RNNs

Reference 2019

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T17:59:13.580174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e73c2c3d-a061-4ea0-a603-fa3a073bec54 · outbound

This paper cites Neural Networks for Lorenz Map Prediction: A Trip Through Time.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Neural Networks for Lorenz Map Prediction: A Trip Through Time

Reference 2020

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T17:59:13.836589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0bf5a871-a667-46ee-a741-bcc0996eda47 · outbound

This paper cites MPLAPACK version 2.0.1 user manual.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data MPLAPACK version 2.0.1 user manual

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:12.804605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8cfb244-59ef-4520-ae65-5b54e437201c · outbound

This paper cites Theoretical basis and application of an analogue-dynamical model in the Lorenz system.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Theoretical basis and application of an analogue-dynamical model in the Lorenz system

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:14.759957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94205f14-d622-4a02-a962-9b488624a388 · outbound

This paper cites Learning dynamical systems with hit-and-run random feature maps.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Learning dynamical systems with hit-and-run random feature maps

Reference 2025

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T17:59:14.031476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d7ae68ed-91b1-4920-bfdd-3ceaabc92c3f · outbound

This paper cites Predicting three-dimensional chaotic systems with four qubit quantum systems.

Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data Predicting three-dimensional chaotic systems with four qubit quantum systems

Reference 2104

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:13.239955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a2891783-a579-464c-ae28-f776c7709105 · inbound

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error cites this paper.

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data

Reference 109

Resolution: verified exact; arxiv_id, observed 2026-08-04T01:57:40.141565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.