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Paper Citation Record · LEDGER

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces

As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2506.16847.

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

pith.paper-citation-record.v1
2506.16847 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

47 of 47 outbound references displayed

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  • verified fuzzy28
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 28fec709-d8f0-4ab0-8bf3-d99be180e2ae · outbound

This paper cites Regular and irregular semiclassical wavefunctions,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Regular and irregular semiclassical wavefunctions,

Reference 1

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Observation eef68855-b9ab-48cd-a4b4-4ec195929fce · outbound

This paper cites On the ergodic properties of nowhere dispersing billiards,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces On the ergodic properties of nowhere dispersing billiards,

Reference 2

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Observation f32a047a-7636-47a8-9fad-85fc38e972fb · outbound

This paper cites Born and E.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Born and E

Reference 3

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Observation a143f7fc-2acc-4533-a5e5-efcdd1ecf18b · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6feebd97-059a-4420-ba5e-8427988897f5 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 62d69477-4db0-45d2-ba9b-e7961ec9a701 · outbound

This paper cites Einstein’s unknown insight and the problem of quantizing chaos,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Einstein’s unknown insight and the problem of quantizing chaos,

Reference 6

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Source-reported events for the cited work

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Observation 6454deb5-bbf7-4a5b-9dad-37392e57c5a7 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 63b9d181-2320-4c56-9370-bbd3c3e571dd · outbound

This paper cites Plasmonics for random lasers,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Plasmonics for random lasers,

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8fb5429d-0611-4b3e-a923-f1c81db60992 · outbound

This paper cites Speckle-free laser imaging using random laser illumination,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Speckle-free laser imaging using random laser illumination,

Reference 9

Resolution
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Source-reported events for the cited work

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Observation f1122da6-9d43-4db5-8079-9ad9b570868f · outbound

This paper cites Focusing coherent light through opaque strongly scattering media,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Focusing coherent light through opaque strongly scattering media,

Reference 10

Resolution
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Source-reported events for the cited work

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Observation a1e0a1d3-7d97-4e58-a327-70d3e7a22894 · outbound

This paper cites Super-resolution wavefront reconstruction.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Super-resolution wavefront reconstruction

Reference 11

Resolution
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Source-reported events for the cited work

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Observation a35320bd-d630-479b-a4f0-657045a025e7 · outbound

This paper cites Di ffracted radiance: A new approach to the prediction of surface scatter,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Di ffracted radiance: A new approach to the prediction of surface scatter,

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cf846076-37cd-41e0-83ef-5be0bbb5ea2e · outbound

This paper cites Beckmann and A.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Beckmann and A

Reference 13

Resolution
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Source-reported events for the cited work

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Observation 5e7c578c-7b15-4fec-b435-70cd93b8fdc8 · outbound

This paper cites Modeling noise propagation in Fourier-filtering wavefront sensing, fundamental limits and quantitative comparison.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Modeling noise propagation in Fourier-filtering wavefront sensing, fundamental limits and quantitative comparison

Reference 14

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8bd20a4f-3b3e-4288-b0de-88ed02b4ebd6 · outbound

This paper cites Sparse Reconstruction of Wavefronts using an Over-Complete Phase Dictionary.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Sparse Reconstruction of Wavefronts using an Over-Complete Phase Dictionary

Reference 15

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0d024a14-72b9-4653-b8a1-901fe8d73f42 · outbound

This paper cites Chaotic Dynamics of Spatial Optical Rogue Waves in SBN Crystals,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Chaotic Dynamics of Spatial Optical Rogue Waves in SBN Crystals,

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cf820d84-fc26-4fab-b187-8aa59130da2b · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7dc47067-6c2a-4bb0-a7c1-8300b265cf85 · outbound

This paper cites Quantum chaology, not quantum chaos,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Quantum chaology, not quantum chaos,

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b6ba8efa-06e3-418d-9f5b-5ed5b20ec53e · outbound

This paper cites Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, 1999).

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, 1999)

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 97fab43e-8319-4a55-b5f0-eeef5752b979 · outbound

This paper cites Kapitaniak, Chaos for Engineers: Theory, Applications, and Control , 2nd ed.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Kapitaniak, Chaos for Engineers: Theory, Applications, and Control , 2nd ed

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ac844a6f-8d03-4a90-a571-7bfde2125061 · outbound

This paper cites Synchronization in chaotic systems,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Synchronization in chaotic systems,

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3d5aad73-38c0-40a1-922f-da8a127e8e55 · outbound

This paper cites Topography of random surfaces,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Topography of random surfaces,

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ea51a7a8-46be-4a9b-9a45-914c4edaba17 · outbound

This paper cites Fractal surface finish,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Fractal surface finish,

Reference 23

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 27de71b7-40d2-41a5-899e-fbf5919a18ba · outbound

This paper cites Dynamical systems with elastic reflections,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Dynamical systems with elastic reflections,

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6111b430-9d97-479f-97a4-0dff0a435526 · outbound

This paper cites On billiards close to dispersing,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces On billiards close to dispersing,

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5d0614ee-3c48-4cfd-8e1e-b66e9b622487 · outbound

This paper cites Measuring the strangeness of strange attractors,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Measuring the strangeness of strange attractors,

Reference 26

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0acbf061-2016-49dc-8bbb-6557e50b0b32 · outbound

This paper cites Detecting strange attractors in turbulence,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Detecting strange attractors in turbulence,

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b0ef2919-49e4-440a-9a9b-b3d428805cb0 · outbound

This paper cites Characterization of chaotic quantum spectra and universality of level fluctuation laws,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Characterization of chaotic quantum spectra and universality of level fluctuation laws,

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2ade4e10-2bef-4621-abac-5a74b33b61e2 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 29

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9010d7b2-afb0-404c-a695-483237d41021 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 30

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 256a3052-5cd6-4ff8-a900-7edae2794506 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 31

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3fca401c-df9d-4951-a524-c68985b1ceae · outbound

This paper cites Nonuniformly hyperbolic K-systems are Bernoulli,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Nonuniformly hyperbolic K-systems are Bernoulli,

Reference 32

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fd1c3b3a-feb1-4ec4-8839-f31a9dd9fe1b · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:51.722513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9182e6cf-ccfb-46f4-9991-26d16dd24510 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 34

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f9e5bf8c-f8d9-42bd-9885-e6324f78cd5a · outbound

This paper cites Determining Lyapunov exponents from a time series,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Determining Lyapunov exponents from a time series,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.695610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2b7209fc-a9da-4fe0-9c9e-1e8fec09536f · outbound

This paper cites Ott, Chaos in Dynamical Systems , 2nd ed.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Ott, Chaos in Dynamical Systems , 2nd ed

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.680178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3303e778-642c-4a8b-bef9-3c5da41d952b · outbound

This paper cites Falconer, Fractal Geometry: Mathematical Foundations and Applications , 3rd ed.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Falconer, Fractal Geometry: Mathematical Foundations and Applications , 3rd ed

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.664292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c5f7e8e0-79ea-478a-b546-e900c63a5114 · outbound

This paper cites What are SRB measures, and which dynamical systems have them?.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces What are SRB measures, and which dynamical systems have them?

Reference 38

Resolution
verified exact
doi, observed 2026-08-15T19:26:51.468175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 03a9e1dd-1854-4c08-af10-425370887b7e · outbound

This paper cites Simple mathematical models with very complicated dynamics,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Simple mathematical models with very complicated dynamics,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.648981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5382054f-440e-4904-b94b-b46f78ef4d93 · outbound

This paper cites Controlled light di ffusion,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Controlled light di ffusion,

Reference 40

Resolution
verified exact
doi, observed 2026-08-15T19:26:51.452861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5b2d8cae-d5ab-4c33-b5d7-db1369fc269a · outbound

This paper cites Papoulis and S.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Papoulis and S

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.633475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:26:51.372298Z digest=sha256:2e81fad1f84326fb531115f2ea871f62645d8b5a5000d5e4d6b1ce6e7a056874

Observation 60429733-6101-467e-b917-d6a0483afc35 · outbound

This paper cites Modal wave-front reconstruction with Zernike polynomials and Karhunen-Loève functions,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Modal wave-front reconstruction with Zernike polynomials and Karhunen-Loève functions,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.616885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:26:51.376593Z digest=sha256:b6b096b854335490c6a4f4f1d1e942fc72d04c70f6d891d3e86209e72a35b8f9

Observation 92daa97d-9408-4ec7-8f09-3683888d9971 · outbound

This paper cites Zernike expansion of derivatives and Laplacians of the Zernike circle polynomials,.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Zernike expansion of derivatives and Laplacians of the Zernike circle polynomials,

Reference 43

Resolution
verified exact
doi, observed 2026-08-15T19:26:51.437396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:26:51.382678Z digest=sha256:524b0ce8503eae3d6aad4834a3ab75e78dcc9e8022cca3bb703f8bf3fb729725

Observation ae7a2a7f-68e3-4d96-9557-3a057b17852c · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:51.601208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:26:51.387024Z digest=sha256:a08c506e40b02cb120385409905981fe431190a6f59c1e39bd37334eda3815ac

Observation 2e7564cd-8d0a-4545-a83a-03a121c295d4 · outbound

This paper cites Abramowitz and I.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Abramowitz and I

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:51.585456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 032710d9-edbe-4479-ad0d-495a75d03c06 · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:51.569160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:26:51.395059Z digest=sha256:62b79cb8208ef18f0c56f2929e75ae61ec3d98911534a84a22761ab26664e034

Observation 4e113654-f83a-4e1f-9954-d66d997ee56a · outbound

This paper cites an unresolved cited work.

A Hybrid Zernike-Lyapunov Framework for Aberration-Based Statistical Wavefront Reconstruction of Chaotic Optical Surfaces Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:51.552425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.