Paper Citation Record · LEDGER

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach

As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2509.01636.

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

pith.paper-citation-record.v1
2509.01636 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:26:35.683056Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

36 of 36 outbound references displayed

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verified fuzzy31
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fef370d5-d57d-45e8-970f-113b356f584a · outbound

This paper cites Fragment of a simulated trajectory ψ(t).

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Fragment of a simulated trajectory ψ(t)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.268221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b9b70d2-3c1b-4cf2-b23a-2bb0fe8b1847 · outbound

This paper cites Lev- itodynamics: Levitation and control of microscopic ob- jects in vacuum.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Lev- itodynamics: Levitation and control of microscopic ob- jects in vacuum

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.252288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15a8a940-1240-4bf3-aa30-6733c52cadf4 · outbound

This paper cites Searching for new physics using optically levitated sensors.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Searching for new physics using optically levitated sensors

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T12:26:35.532980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 681158c0-29ae-4dcd-bd76-8b5c98e473f8 · outbound

This paper cites Rossi, A.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Rossi, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.226258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a10dd796-7024-4140-8a20-ca333e52db0b · outbound

This paper cites High-purity quantum optomechanics at room temperature.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach High-purity quantum optomechanics at room temperature

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.211496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fb19a04-82bf-4afb-9195-f34766828505 · outbound

This paper cites Spin- cooling of the motion of a trapped diamond.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Spin- cooling of the motion of a trapped diamond

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.194675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9625073-752e-4013-b18a-851347339efd · outbound

This paper cites Near- field ghz rotation and sensing with an optically levitated nanodumbbell.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Near- field ghz rotation and sensing with an optically levitated nanodumbbell

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.174868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 107ce0d6-a224-486e-8ce5-b3e4eeebbed0 · outbound

This paper cites Structured transverse orbital an- gular momentum probed by a levitated optomechanical sensor.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Structured transverse orbital an- gular momentum probed by a levitated optomechanical sensor

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.158626Z

Source-reported events for the cited work

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Observation 44630486-4cdf-4db2-b2d4-2e8d920967d5 · outbound

This paper cites Nanoscale feedback control of six degrees of freedom of a near-sphere.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Nanoscale feedback control of six degrees of freedom of a near-sphere

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.141678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1aabe75b-5358-4135-bd49-7cd654170f6d · outbound

This paper cites Simultaneous cavity cooling of all six degrees of freedom of a levitated nanoparticle.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Simultaneous cavity cooling of all six degrees of freedom of a levitated nanoparticle

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.124779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9eeb15d-bec4-44d2-bcbc-b119e04fbab3 · outbound

This paper cites Zieli´ nska, Andrei Militaru, Lukas Novotny, and Martin Frimmer.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Zieli´ nska, Andrei Militaru, Lukas Novotny, and Martin Frimmer

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.109503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 570710da-d37f-4023-98fd-cbb8f9a76751 · outbound

This paper cites On-demand assembly of optically levitated nanoparticle arrays in vacuum.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach On-demand assembly of optically levitated nanoparticle arrays in vacuum

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.093806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09732248-9441-4f56-9f8d-0df67e733667 · outbound

This paper cites Sub-kelvin feedback cooling and heating dynamics of an optically levitated librator.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Sub-kelvin feedback cooling and heating dynamics of an optically levitated librator

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.079058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8f12899-27fd-41ca-993f-26b1811127d6 · outbound

This paper cites Optically levitated rotor at its thermal limit of frequency stability.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Optically levitated rotor at its thermal limit of frequency stability

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.064828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a714fe5-987d-48b7-9a45-368a76b7ce4a · outbound

This paper cites an unresolved cited work.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:26:36.049546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 83d1291d-0493-461b-b586-f539782b8909 · outbound

This paper cites an unresolved cited work.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:26:36.035185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cb30abfa-731a-4a90-9b50-840f2ba21acb · outbound

This paper cites Parametric feedback cool- ing of rigid body nanodumbbells in levitated optome- chanics.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Parametric feedback cool- ing of rigid body nanodumbbells in levitated optome- chanics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.020784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 060aebc0-34ef-4764-9abc-2b8a49916e5f · outbound

This paper cites Five-dimensional cooling and nonlinear dynam- ics of an optically levitated nanodumbbell.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Five-dimensional cooling and nonlinear dynam- ics of an optically levitated nanodumbbell

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:36.005665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c975f2e-5f18-44ff-a81e-bfbd8180202d · outbound

This paper cites Numerical Solu- tion of Stochastic Differential Equations, First ed., Vol.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Numerical Solu- tion of Stochastic Differential Equations, First ed., Vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.990886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82f7351d-28af-41f4-a09e-4d181d12a60a · outbound

This paper cites A computational framework for mean square responses of bidirectional nonlinear systems under correlated stochas- tic excitation.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach A computational framework for mean square responses of bidirectional nonlinear systems under correlated stochas- tic excitation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.947706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37f55d36-e793-404b-90e9-74008f73e67b · outbound

This paper cites An Ito–Taylor weak 3.0 method for stochastic dynamics of nonlinear systems.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach An Ito–Taylor weak 3.0 method for stochastic dynamics of nonlinear systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.961932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3a419d27-8341-44a6-88f4-55000080cb8f · outbound

This paper cites A mathematically consistent stochas- tic simulation of a 3d pendulum tuned mass damper and tuning.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach A mathematically consistent stochas- tic simulation of a 3d pendulum tuned mass damper and tuning

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.918567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46954e2a-97a5-4bd9-9e82-afab8fe32e30 · outbound

This paper cites Berlin, Germany: Springer Science & Business Media, 1992.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Berlin, Germany: Springer Science & Business Media, 1992

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.976437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6da4ed7f-0f0b-4276-a166-95037e0d9e0a · outbound

This paper cites A shape memory alloy-tuned mass damper inerter system for passive control of linked-SDOF structural systems under seismic excitation.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach A shape memory alloy-tuned mass damper inerter system for passive control of linked-SDOF structural systems under seismic excitation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.932552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8edb84de-a5b5-49b0-bd69-b5a53ec04b76 · outbound

This paper cites Optically levitated micro gyroscopes with an mhz rotational vaterite rotor.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Optically levitated micro gyroscopes with an mhz rotational vaterite rotor

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.903768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 97e10ee6-623c-4b23-91f6-13d676b8868a · outbound

This paper cites Quantum rotations of nanoparticles.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Quantum rotations of nanoparticles

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.889265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ed24b5a-ae9e-4f3f-8d4e-8663001b2554 · outbound

This paper cites Weisstein.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Weisstein

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.874678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fec51eed-a385-41c5-8aa1-6f5c330f9519 · outbound

This paper cites an unresolved cited work.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:26:35.857823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd46dc20-3129-484f-a2c1-b385e8c0a3bb · outbound

This paper cites Optimal orientation detection of an anisotropic dipolar scatterer.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Optimal orientation detection of an anisotropic dipolar scatterer

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.843186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63dafab0-4434-4582-8765-381987792c25 · outbound

This paper cites Principles of nano- optics.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Principles of nano- optics

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.827517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c4d695f5-e126-45a9-bf81-885e923d69ce · outbound

This paper cites Probability, random signals, and statistics.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Probability, random signals, and statistics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.810766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d21c77b2-b92d-44a4-b41b-61d3fdddfa7b · outbound

This paper cites Full rotational control of levitated silicon nanorods.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Full rotational control of levitated silicon nanorods

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.794650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 954d9999-228e-4f39-8273-94ddba2afda9 · outbound

This paper cites Bellando, M.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Bellando, M

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.776484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ce9f67a-9f96-432f-a97a-60d15f528c05 · outbound

This paper cites Roto-translational optomechanics.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Roto-translational optomechanics

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T12:26:35.673650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4da1be1-7677-4f22-ad1d-ea8a757dd5ac · outbound

This paper cites Kamba and K.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Kamba and K

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.758100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 72ac2894-6cd1-4403-87e9-ebe09b2367ba · outbound

This paper cites Gil, Ari T.

Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach Gil, Ari T

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:26:35.742078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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