Paper Citation Record · LEDGER

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

As of 7 August 2026, this Paper Citation Record lists 100 of 157 outbound references and 6 inbound Pith citation observations for arXiv:2509.03598.

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pith.paper-citation-record.v1
2509.03598 v1

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measured 100 of 157 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T10:55:30.009044Z

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Source: paper_references, paper_reference_links, observed 2026-08-03T19:24:52.606347Z

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Source: arxiv_reference, observed 2026-07-04T18:50:05.459602Z

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100 of 157 outbound references displayed

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Outbound references

Observation 0b058728-8d89-4982-ae15-5a6bc8cc860c · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.442191Z

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Observation ae62ede6-5ef2-4f45-bcaa-4ed17873c76b · outbound

This paper cites TianQin: a space-borne gravitational wave detector.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring TianQin: a space-borne gravitational wave detector

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.452285Z

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Observation bdef9b7a-2a5d-41ce-a327-f797efb17576 · outbound

This paper cites Science Case for the Einstein Telescope.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Science Case for the Einstein Telescope

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.459517Z

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Observation d57a9e34-0767-44de-ab56-625cd400a129 · outbound

This paper cites AION: An Atom Interferometer Observatory and Network.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring AION: An Atom Interferometer Observatory and Network

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.468163Z

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Observation db5dcbe8-e852-4fbc-bc0f-0c071d1353a6 · outbound

This paper cites Astrophysics with the Laser Interferometer Space Antenna.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Astrophysics with the Laser Interferometer Space Antenna

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.473881Z

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Observation 876ced4d-b296-40e3-9639-968fac180650 · outbound

This paper cites An Effective Field Theory of Gravity for Extended Objects.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring An Effective Field Theory of Gravity for Extended Objects

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.480993Z

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Observation 5e698a2b-eadc-4945-b65b-b5d64b241df6 · outbound

This paper cites Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.488329Z

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Observation d6de28e8-a872-4d23-be47-4094b21c853d · outbound

This paper cites The Effective Field Theorist's Approach to Gravitational Dynamics.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Effective Field Theorist's Approach to Gravitational Dynamics

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.494919Z

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Observation 0ca3db2e-a3fe-4dc9-a19c-7514c1ccc05d · outbound

This paper cites Post-Newtonian Theory for Gravitational Waves.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Post-Newtonian Theory for Gravitational Waves

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.500246Z

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Observation 750bb094-b831-4d85-b98f-622b379cca5e · outbound

This paper cites Inspiral, merger and ring-down of equal-mass black-hole binaries.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Inspiral, merger and ring-down of equal-mass black-hole binaries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.508781Z

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Observation a05f2fc5-9ca3-42ac-b816-018f714d501a · outbound

This paper cites Geodesic stability, Lyapunov exponents and quasinormal modes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Geodesic stability, Lyapunov exponents and quasinormal modes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.514693Z

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Observation c67df2ca-accd-4d63-a935-3a94f8ce7a70 · outbound

This paper cites Self-force and radiation reaction in general relativity.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Self-force and radiation reaction in general relativity

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.522443Z

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Observation 8ebec600-19e5-46d2-9c6c-566c9feec57e · outbound

This paper cites Black hole perturbation theory and gravitational self-force.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Black hole perturbation theory and gravitational self-force

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.529263Z

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Observation 42775b9e-9e56-4129-b47b-b944c7501cf7 · outbound

This paper cites Black hole spectroscopy: from theory to experiment.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Black hole spectroscopy: from theory to experiment

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.536861Z

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Observation 51cd0f23-3326-412c-a27b-1f2d5f0e2289 · outbound

This paper cites Numerical Relativity and Compact Binaries.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Numerical Relativity and Compact Binaries

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.542777Z

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Observation 5788e03e-0f9c-4914-8a6a-a058e48945c3 · outbound

This paper cites Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.548494Z

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Observation c1def627-363a-4280-845a-84f73d1857f4 · outbound

This paper cites A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.554160Z

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Observation 94ac7949-ba8f-4be3-9b8d-960897ac2180 · outbound

This paper cites Binary Black Hole Waveforms from High-Resolution GR-Athena++ Simulations.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Binary Black Hole Waveforms from High-Resolution GR-Athena++ Simulations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.560890Z

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Observation 94b7e227-b0c3-4c25-b303-70e96ebd4380 · outbound

This paper cites Elvang and Y.-t.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Elvang and Y.-t

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.567921Z

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Observation 4dabf693-de09-4c69-93da-3750cd2062bf · outbound

This paper cites The SAGEX Review on Scattering Amplitudes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The SAGEX Review on Scattering Amplitudes

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.574394Z

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Observation 9d05b2f5-abac-4b89-9e5b-276ba33fdf6e · outbound

This paper cites Scattering in Anti-de Sitter Space and Operator Product Expansion.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Scattering in Anti-de Sitter Space and Operator Product Expansion

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.582658Z

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Observation bdd007dc-e2c1-4d2c-ba92-ef48526ebea5 · outbound

This paper cites Loops in AdS from Conformal Field Theory.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Loops in AdS from Conformal Field Theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.587921Z

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Observation 14b77153-42e3-4a9a-9b51-73a0d2d8b8ad · outbound

This paper cites How to Succeed at Holographic Correlators Without Really Trying.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring How to Succeed at Holographic Correlators Without Really Trying

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.593894Z

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Observation c3fe15e3-0ec0-479c-b627-b006cc414e46 · outbound

This paper cites Spinning AdS Loop Diagrams: Two Point Functions.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Spinning AdS Loop Diagrams: Two Point Functions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.599556Z

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Observation 81dc58c5-2133-4d0d-8046-830ae67870af · outbound

This paper cites A Study of Quantum Field Theories in AdS at Finite Coupling.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring A Study of Quantum Field Theories in AdS at Finite Coupling

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.604724Z

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Observation 6ffb20fa-288a-413a-a0fa-c128916d5df9 · outbound

This paper cites Propagator identities, holographic conformal blocks, and higher-point AdS diagrams.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Propagator identities, holographic conformal blocks, and higher-point AdS diagrams

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.609912Z

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Observation f763af18-236c-49fc-a9aa-7b7606fc6a0d · outbound

This paper cites Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.616647Z

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Observation 616c5a69-9698-4d48-a5c5-ef5d533237fe · outbound

This paper cites Towards a theory of nonlinear gravitational waves: a systematic approach to nonlinear gravitational perturbations in vacuum.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Towards a theory of nonlinear gravitational waves: a systematic approach to nonlinear gravitational perturbations in vacuum

Reference 28

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Observation 39e9b1ce-5361-43c5-b1e2-36a47b7c1370 · outbound

This paper cites Higher order perturbations of Anti-de Sitter space and time-periodic solutions of vacuum Einstein equations.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Higher order perturbations of Anti-de Sitter space and time-periodic solutions of vacuum Einstein equations

Reference 29

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Observation 222a4674-80ff-455d-aac3-2702f597fbae · outbound

This paper cites AdS nonlinear instability: moving beyond spherical symmetry.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring AdS nonlinear instability: moving beyond spherical symmetry

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.635617Z

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Observation 29e13540-00c1-46af-b45e-09053a43ada7 · outbound

This paper cites AdS nonlinear instability: breaking spherical and axial symmetries.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring AdS nonlinear instability: breaking spherical and axial symmetries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.641768Z

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Observation 715c07ca-7c6c-43c8-8836-de94a92bbc90 · outbound

This paper cites Collapse and Nonlinear Instability of AdS with Angular Momenta.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Collapse and Nonlinear Instability of AdS with Angular Momenta

Reference 32

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Observation 4e917e4d-55c2-491b-bd2c-80ee9f03156f · outbound

This paper cites Cosmological Collider Physics.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Cosmological Collider Physics

Reference 33

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Observation 51f47e7f-5c1b-48be-8f6e-662f63a2d3ce · outbound

This paper cites Amplitudes meet Cosmology: A (Scalar) Primer.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Amplitudes meet Cosmology: A (Scalar) Primer

Reference 34

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Observation 82d0125b-c119-436c-b808-65423b400592 · outbound

This paper cites Cahen and N.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Cahen and N

Reference 35

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Observation 899255aa-e9e0-4de2-aa62-e0218378f02b · outbound

This paper cites Gibbons,Quantized Fields Propagating in Plane Wave Space-Times, Commun.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Gibbons,Quantized Fields Propagating in Plane Wave Space-Times, Commun

Reference 36

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Observation bb50991c-eef5-471f-857d-e99a4b28c0fb · outbound

This paper cites Mason,On ward’s integral formula for the wave equation in plane wave space-times, Twistor Newsletter 28 (1989) 17.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Mason,On ward’s integral formula for the wave equation in plane wave space-times, Twistor Newsletter 28 (1989) 17

Reference 37

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Observation 4cfb685c-b841-49d6-ab65-38d9a0f93a68 · outbound

This paper cites Horowitz and A.R.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Horowitz and A.R

Reference 38

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Observation 5df1261a-8d7d-4535-a155-9b5b58a58906 · outbound

This paper cites Second order perturbations of a Schwarzschild black hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second order perturbations of a Schwarzschild black hole

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.694192Z

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Observation b8376c8e-ab7b-48c5-b099-5e367797f152 · outbound

This paper cites Gravitational radiation from Schwarzschild black holes: the second order perturbation formalism.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Gravitational radiation from Schwarzschild black holes: the second order perturbation formalism

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.698870Z

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Observation d12febdf-6b57-49e8-a48c-89cf280b9ac8 · outbound

This paper cites The collision of boosted black holes: second order close limit calculations.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The collision of boosted black holes: second order close limit calculations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.704306Z

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Observation 2be264cc-c14b-410d-a0c2-6b2e7985ec25 · outbound

This paper cites Second order gauge invariant gravitational perturbations of a Kerr black hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second order gauge invariant gravitational perturbations of a Kerr black hole

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.709652Z

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Observation 3024032a-48b3-4d46-82d7-ca1fbe644310 · outbound

This paper cites Back Reaction of Gravitational Radiation on the Schwarzschild Black Hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Back Reaction of Gravitational Radiation on the Schwarzschild Black Hole

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.716218Z

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Observation 81f937b8-d758-4918-9ed7-20e38432c78c · outbound

This paper cites Second and higher-order quasi-normal modes in binary black hole mergers.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second and higher-order quasi-normal modes in binary black hole mergers

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.721691Z

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Observation 3444748e-0d0b-4c4e-8ab6-c95f229c78fd · outbound

This paper cites Second Order Quasi-Normal Mode of the Schwarzschild Black Hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second Order Quasi-Normal Mode of the Schwarzschild Black Hole

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.727241Z

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Observation af9755e8-527a-4c24-9bee-eb07259b0c45 · outbound

This paper cites Possible discovery of a nonlinear tail and second-order quasinormal modes in black hole ringdown.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Possible discovery of a nonlinear tail and second-order quasinormal modes in black hole ringdown

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.732322Z

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Observation 16e27d63-d3af-46e0-98bb-b8bb0c73cc7e · outbound

This paper cites A complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring A complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.737012Z

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Observation 11d41a65-7629-4ef5-932f-fae4d5808c54 · outbound

This paper cites Mode coupling of Schwarzschild perturbations: Ringdown frequencies.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Mode coupling of Schwarzschild perturbations: Ringdown frequencies

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.741418Z

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Observation 7bd01abe-1760-4345-87dd-7f297e552c1e · outbound

This paper cites Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.745920Z

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Observation 6235937e-5dae-4a15-ac13-d5003165bc0f · outbound

This paper cites Numerical computation of second order vacuum perturbations of Kerr black holes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Numerical computation of second order vacuum perturbations of Kerr black holes

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.750921Z

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Observation dcb23b0c-37e2-4cff-a2f7-b2fa5d6987e8 · outbound

This paper cites Gravitational waveforms for compact binaries from second-order self-force theory.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Gravitational waveforms for compact binaries from second-order self-force theory

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.755859Z

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Observation 8d05aadc-5d7c-4b5f-8f0f-cdf36b94396d · outbound

This paper cites Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.762216Z

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Observation db364a66-e88f-45e6-8649-0747c4f1c6e0 · outbound

This paper cites Second-order Teukolsky formalism in Kerr spacetime: formulation and nonlinear source.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second-order Teukolsky formalism in Kerr spacetime: formulation and nonlinear source

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.767784Z

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Observation 64d59183-7513-4ae1-aa8a-e56e2e8408ad · outbound

This paper cites Nonlinear effects in the black hole ringdown: absorption-induced mode excitation.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinear effects in the black hole ringdown: absorption-induced mode excitation

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.773082Z

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Observation ee3b1b2f-0295-49df-b832-864590a98cb2 · outbound

This paper cites Ringdown of a dynamical spacetime.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Ringdown of a dynamical spacetime

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.778454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 824ba35b-4e82-42b8-9078-6cde569c2563 · outbound

This paper cites Nonlinear effect of absorption on the ringdown of a spinning black hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinear effect of absorption on the ringdown of a spinning black hole

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.783756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 138992e3-770b-4c36-9335-be3a88870214 · outbound

This paper cites Imprints of Changing Mass and Spin on Black Hole Ringdown.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Imprints of Changing Mass and Spin on Black Hole Ringdown

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.790065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2479af58-6e5d-42a4-97dc-d892c6cad3fd · outbound

This paper cites Nonlinear effects in black hole ringdown.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinear effects in black hole ringdown

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.794854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97c3e415-08dd-4e1b-991f-fecb9646ff5a · outbound

This paper cites Nonlinearities in Black Hole Ringdowns.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinearities in Black Hole Ringdowns

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.799491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cf71e81-def9-4ca2-8155-3a8e49a687ad · outbound

This paper cites Spin dependence of black hole ringdown nonlinearities.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Spin dependence of black hole ringdown nonlinearities

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.805144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb4b845-c8f2-479d-9799-e757e765ef5c · outbound

This paper cites Non-linear Black Hole Ringdowns: an Analytical Approach.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Non-linear Black Hole Ringdowns: an Analytical Approach

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.810531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f51c466-8145-49a4-913a-755f2fc25ee1 · outbound

This paper cites Amplitudes and Polarizations of Quadratic Quasi-Normal Modes for a Schwarzschild Black Hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Amplitudes and Polarizations of Quadratic Quasi-Normal Modes for a Schwarzschild Black Hole

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.816326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2850ab7f-698a-4c03-911a-d08590357375 · outbound

This paper cites Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.821134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c0636fc-d0b8-486e-a9f4-ed78e3b8d37a · outbound

This paper cites Quadratic quasi-normal mode dependence on linear mode parity.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Quadratic quasi-normal mode dependence on linear mode parity

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.825739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94f75481-d54f-4ed0-9b91-1f89001caaa5 · outbound

This paper cites Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.830414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8665061-0a46-4d5c-b1c7-29be43f6edac · outbound

This paper cites Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.834903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 620bb1cb-5df6-4992-a1a7-07beabe06391 · outbound

This paper cites Ringdown nonlinearities in the eikonal regime.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Ringdown nonlinearities in the eikonal regime

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.839472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24790bb5-f795-4cf9-a03d-abe36d86d77f · outbound

This paper cites The excitation of quadratic quasinormal modes for Kerr black holes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The excitation of quadratic quasinormal modes for Kerr black holes

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.845114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f13361f4-279f-44e8-ae0f-6cfea78e5161 · outbound

This paper cites Quadratic Mode Couplings in Rotating Black Holes and Their Detectability.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Quadratic Mode Couplings in Rotating Black Holes and Their Detectability

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.850212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39377bfb-dc62-48d2-a8c0-dcab88da6aff · outbound

This paper cites Press,Long Wave Trains of Gravitational Waves from a Vibrating Black Hole, Astrophys.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Press,Long Wave Trains of Gravitational Waves from a Vibrating Black Hole, Astrophys

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.855307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83aee267-1705-4d73-89a6-8af84e4dafaa · outbound

This paper cites vibrations.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring vibrations

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.859748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22c6f5a1-1dec-440f-ab56-1d8710249488 · outbound

This paper cites Mashhoon,Stability of charged rotating black holes in the eikonal approximation, Phys.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Mashhoon,Stability of charged rotating black holes in the eikonal approximation, Phys

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.864586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82c896b8-fd5d-4eba-9d92-2a710379c6ad · outbound

This paper cites Schutz and C.M.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Schutz and C.M

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.869171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c1351a4-a0d9-4bb4-b7af-dc190275275a · outbound

This paper cites Nollert,TOPICAL REVIEW: Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars, Class.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nollert,TOPICAL REVIEW: Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars, Class

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.874094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69c85ffc-6ca6-41f8-b524-dffb8946197a · outbound

This paper cites First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.878605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07be8668-a4c0-4dd2-b673-419fa938e1de · outbound

This paper cites Observing the Inner Shadow of a Black Hole: A Direct View of the Event Horizon.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Observing the Inner Shadow of a Black Hole: A Direct View of the Event Horizon

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.885586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc9b644a-01af-4370-be4e-7b6ec84a5939 · outbound

This paper cites The Black Hole Explorer: Motivation and Vision.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Black Hole Explorer: Motivation and Vision

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.891916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b95a3b52-67ea-4ff4-ac58-f523217ebe62 · outbound

This paper cites The Black Hole Explorer: Photon Ring Science, Detection and Shape Measurement.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Black Hole Explorer: Photon Ring Science, Detection and Shape Measurement

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.897006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35ba9c7d-7877-4d6f-a5a8-8a1f5cf492c9 · outbound

This paper cites Davis, R.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Davis, R

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.901856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a610423-1860-4856-8841-337edf7238ca · outbound

This paper cites Gravitational tuning forks and hierarchical triple systems.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Gravitational tuning forks and hierarchical triple systems

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.906538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29a91bb6-7755-4561-904a-65853187433b · outbound

This paper cites Quasinormal Modes from Penrose Limits.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Quasinormal Modes from Penrose Limits

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.911223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 890d3848-c19c-4df5-85aa-2428a886f316 · outbound

This paper cites pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.915678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0995cdb0-6dee-43d2-9453-26ad7e019f8f · outbound

This paper cites Penrose,Any space-time has a plane wave as a limit, inDifferential geometry and relativity, pp.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Penrose,Any space-time has a plane wave as a limit, inDifferential geometry and relativity, pp

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.921242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4e1c92c-9e45-4daf-bd7e-b2ea9224ab9e · outbound

This paper cites The Causal Structure of QED in Curved Spacetime: Analyticity and the Refractive Index.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Causal Structure of QED in Curved Spacetime: Analyticity and the Refractive Index

Reference 84

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:32.033023Z

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.

Observation d2d2ae9a-e00f-460a-8ac3-cb2066db8ee0 · outbound

This paper cites The Refractive Index of Curved Spacetime II: QED, Penrose Limits and Black Holes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Refractive Index of Curved Spacetime II: QED, Penrose Limits and Black Holes

Reference 85

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:32.010002Z

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.

Observation 6cac5821-d918-448f-ab11-dca03f10c374 · outbound

This paper cites Graviton Propagation and Vacuum Polarization in Curved Space.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Graviton Propagation and Vacuum Polarization in Curved Space

Reference 86

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.985894Z

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.

Observation a072ae66-3001-4fcf-be06-16cbd3096ef0 · outbound

This paper cites Gravitational effects in ultrahigh-energy string scattering.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Gravitational effects in ultrahigh-energy string scattering

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.941566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3ced0f7-d998-4423-9c1c-772c800457ff · outbound

This paper cites Singularities of thermal correlators at strong coupling.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Singularities of thermal correlators at strong coupling

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.946470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27640d48-3992-4532-a1c7-85dd4572cc24 · outbound

This paper cites The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries

Reference 89

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.924268Z

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.

Observation 5d2596e7-10ef-4408-accf-8100b122c75b · outbound

This paper cites Tidal Disruption in Topological Solitons and the Emergence of an Effective Horizon.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Tidal Disruption in Topological Solitons and the Emergence of an Effective Horizon

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.957203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbda4295-b9d7-4f5d-8bab-a20a3f9176c8 · outbound

This paper cites Strong lensing, plane gravitational waves and transient flashes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Strong lensing, plane gravitational waves and transient flashes

Reference 91

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.882422Z

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.

Observation 1716245c-418a-4349-a012-67d31c924996 · outbound

This paper cites Caustics and wave propagation in curved spacetimes.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Caustics and wave propagation in curved spacetimes

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-05T10:55:29.970336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f51020aa-43e4-43a3-aa57-325dbc9ba4d2 · outbound

This paper cites Optics in a nonlinear gravitational plane wave.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Optics in a nonlinear gravitational plane wave

Reference 93

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.841883Z

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.

Observation 70f08d5c-6070-429f-9ed9-1e79e6357c04 · outbound

This paper cites Cubic Interactions in PP-Wave Light Cone String Field Theory.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Cubic Interactions in PP-Wave Light Cone String Field Theory

Reference 94

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.818966Z

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.

Observation bb724209-25cb-47b3-9473-557c0f430d25 · outbound

This paper cites Superstring Interactions in a pp-wave Background II.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Superstring Interactions in a pp-wave Background II

Reference 95

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.796342Z

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.

Observation 27cef9d0-0e82-4b75-bd25-0928ee9b334d · outbound

This paper cites A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory

Reference 96

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.773282Z

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.

Observation 4a62fe06-ee05-4c80-982d-ae31903761d6 · outbound

This paper cites More comments on superstring interactions in the pp-wave background.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring More comments on superstring interactions in the pp-wave background

Reference 97

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.751692Z

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.

Observation c0f172d9-7302-4af7-b553-c61883bc1ba0 · outbound

This paper cites Strings in plane wave backgrounds.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Strings in plane wave backgrounds

Reference 98

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.729359Z

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.

Observation ee387f7a-1b1b-4adf-8c77-cd5f5f9088ca · outbound

This paper cites Strings on Plane Waves and AdS x S.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Strings on Plane Waves and AdS x S

Reference 99

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.705847Z

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.

Observation 6a0b654c-9c0a-4c72-a531-5f4f0c101da6 · outbound

This paper cites The plane-wave spectrum from the worldsheet.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring The plane-wave spectrum from the worldsheet

Reference 100

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:55:31.682667Z

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.

Pith citing papers

Observation 78ba4640-ba89-4267-bde0-784dc8ba8454 · inbound

Computing nonlinearity ratios using second order black hole perturbation theory cites this paper.

Computing nonlinearity ratios using second order black hole perturbation theory Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T19:24:52.606347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beb877e9-964d-4c4f-acc8-7ac23777fe7b · inbound

Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation cites this paper.

Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:10:25.700615Z

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.

Observation b1f424b2-882e-4208-a4c8-91ce504ebaa9 · inbound

Gravitational electric-magnetic duality at the light ring and quasinormal mode isospectrality in effective field theories cites this paper.

Gravitational electric-magnetic duality at the light ring and quasinormal mode isospectrality in effective field theories Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:11:18.412788Z

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.

Observation 0d873e61-7b37-4055-96ce-ec76e35376e8 · inbound

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds cites this paper.

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:05:35.670541Z

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.

Observation 8b780242-c87f-4ba9-9e9b-5a13709365f8 · inbound

Black Hole Ringdown Nonlinearities in the Large-D Limit cites this paper.

Black Hole Ringdown Nonlinearities in the Large-D Limit Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 61

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T11:59:51.889146Z

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.

Observation ad6bf9a6-0b15-4973-98cd-328a66bd32bc · inbound

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory cites this paper.

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:50:05.461445Z

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.