Paper Citation Record · LEDGER

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2507.05664.

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

pith.paper-citation-record.v1
2507.05664 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:27:18.733068Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

12 of 12 outbound references displayed

verified exact2
verified fuzzy3
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0e01f5c-ce31-4b11-93ca-010e4207ed14 · outbound

This paper cites Nozaki and N.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Nozaki and N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:27:19.700169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d354d6a1-3f33-480d-8207-5d6783398eda · outbound

This paper cites Nozaki and N.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Nozaki and N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:27:19.576214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0a592283-80de-4613-a122-538bbdbb723c · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:27:18.106356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41b4e535-ae0a-4aab-9f4b-184b4156c447 · outbound

This paper cites Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:27:18.203196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f96baedd-50b1-4d14-95d4-578a6b919577 · outbound

This paper cites an unresolved cited work.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:27:19.471468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3fe587f2-8dfa-4635-b69b-8f7edc9877aa · outbound

This paper cites an unresolved cited work.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:27:19.364362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b8ef050d-231b-4bee-98f9-db255b001077 · outbound

This paper cites Peng, Y.-W.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Peng, Y.-W

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:27:19.243986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 12c7c08f-e288-46e3-bdf8-24cc66d7319e · outbound

This paper cites Discovery of Quasi-Integrable Equations from traveling-wave data using the Physics-Informed Neural Networks.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Discovery of Quasi-Integrable Equations from traveling-wave data using the Physics-Informed Neural Networks

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:27:19.022015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 87c09157-8f42-40f8-a469-49b7b65e7e79 · outbound

This paper cites Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:27:18.914751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1f125a7-2fcb-4e58-96f0-f385cb432192 · outbound

This paper cites Automatic differentiation in machine learning: a survey.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Automatic differentiation in machine learning: a survey

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T19:27:18.626159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c732c243-cdef-4314-8d0f-610f8f2b71d3 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Adam: A Method for Stochastic Optimization

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T19:27:18.681432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efc2e3b4-b030-46e8-a468-f054a4fadedd · outbound

This paper cites an unresolved cited work.

PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schr\"{o}dinger equation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:27:19.140803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.