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Paper Citation Record · LEDGER

Probing Direct Waves in Black Hole Ringdowns

As of 18 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 15 inbound Pith citation observations for arXiv:2509.09165.

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

pith.paper-citation-record.v1
2509.09165 v1

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measured 80 of 80 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T19:41:19.241941Z

measured 95 of 95 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:41:44.071219Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-10T23:37:42.346088Z

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Outbound references

Observation 6e68564a-186d-4817-b985-1b2bdf9cfb91 · outbound

This paper cites dωdt 2π ˆDℓmω ˜ZℓmωeiΦ(t,ω),(14) whereΦ(t,ω) is defined in Eq. (4). Using the steepest-descent method with two variablestandω, we obtain.

Probing Direct Waves in Black Hole Ringdowns dωdt 2π ˆDℓmω ˜ZℓmωeiΦ(t,ω),(14) whereΦ(t,ω) is defined in Eq. (4). Using the steepest-descent method with two variablestandω, we obtain

Reference 1

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source=pdf_text observed=2026-08-04T19:41:18.868186Z digest=sha256:0671b1ef674dc7864671aa8c2762ff48b74cfc8b09f2c5623f85f7494f2a1158

Observation e811c127-fd25-4144-86fd-847c019b6178 · outbound

This paper cites The Sasaki-Nakamura (SN) equation [75]: " d2 dx2−F ℓmω d dx−U ℓmω # Xℓmω =S ℓmω,(20) is solved in the frequency domain using the fourth Runge- Kutta method.

Probing Direct Waves in Black Hole Ringdowns The Sasaki-Nakamura (SN) equation [75]: " d2 dx2−F ℓmω d dx−U ℓmω # Xℓmω =S ℓmω,(20) is solved in the frequency domain using the fourth Runge- Kutta method

Reference 2

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Observation 3d19f7c9-c38c-4b3a-82b1-708c01a89f05 · outbound

This paper cites (28) HereN p andN r are the number of included prograde and retrograde overtones.

Probing Direct Waves in Black Hole Ringdowns (28) HereN p andN r are the number of included prograde and retrograde overtones

Reference 3

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Observation abf8c1cc-2dab-43a4-9ed0-06594b21dea6 · outbound

This paper cites an unresolved cited work.

Probing Direct Waves in Black Hole Ringdowns Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-04T19:41:18.878256Z digest=sha256:8ac09613d8c926c6b345a2429c7ff2e02d3050c279333d43cecdf86b7029c2f1

Observation ce10e1b7-7069-4bd2-af89-e6944a3f374c · outbound

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

Probing Direct Waves in Black Hole Ringdowns Inspiral, merger and ring-down of equal-mass black-hole binaries

Reference 5

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source=pdf_text observed=2026-08-04T19:41:18.888246Z digest=sha256:5e5a93cc25768ddc1927f247f27682be2cc4b144e373f984fbd672403f022edd

Observation 53a31940-bcb7-4e39-a4b4-0eac42712c88 · outbound

This paper cites Black hole ringdown: the importance of overtones.

Probing Direct Waves in Black Hole Ringdowns Black hole ringdown: the importance of overtones

Reference 6

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Observation d1c9e4a7-7e16-48e0-8248-a5508ef077d2 · outbound

This paper cites Overtones and Nonlinearities in Binary Black Hole Ringdowns.

Probing Direct Waves in Black Hole Ringdowns Overtones and Nonlinearities in Binary Black Hole Ringdowns

Reference 7

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Observation 70cac9ec-0e92-49ea-8a2a-dfa6b9d49bb9 · outbound

This paper cites On the ease of excitation of black hole ringing: Quantifying the importance of overtones by the excitation factors.

Probing Direct Waves in Black Hole Ringdowns On the ease of excitation of black hole ringing: Quantifying the importance of overtones by the excitation factors

Reference 8

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Observation c587cab0-1ae6-492a-8dde-6f6d696b4891 · outbound

This paper cites Reconstruction of ringdown with excitation factors.

Probing Direct Waves in Black Hole Ringdowns Reconstruction of ringdown with excitation factors

Reference 9

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source=pdf_text observed=2026-08-04T19:41:18.907629Z digest=sha256:f75c24bf4ac9d17909dd82a12fe41efdf319e9d99a0c7116b41962b47f579a0d

Observation ae775230-8669-4dc9-9866-d4c293838b2b · outbound

This paper cites Probing the ringdown perturbation in binary black hole coalescences with an improved quasi-normal mode extraction algorithm.

Probing Direct Waves in Black Hole Ringdowns Probing the ringdown perturbation in binary black hole coalescences with an improved quasi-normal mode extraction algorithm

Reference 10

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source=pdf_text observed=2026-08-04T19:41:18.912430Z digest=sha256:935c0191941899b7806c1f63838bf2614be6bb7e64821787752961327f2761f1

Observation 50133246-c0aa-4896-9c70-b747ade3d67d · outbound

This paper cites Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory.

Probing Direct Waves in Black Hole Ringdowns Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory

Reference 11

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source=pdf_text observed=2026-08-04T19:41:18.917787Z digest=sha256:652643e0da1f23c2fdb6927b972a220ad4a382058d534f55681c1627da57730b

Observation 90035dad-26cc-49f9-ba6a-7bbba78c4e37 · outbound

This paper cites Modelling the Ringdown from Precessing Black Hole Binaries.

Probing Direct Waves in Black Hole Ringdowns Modelling the Ringdown from Precessing Black Hole Binaries

Reference 12

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source=pdf_text observed=2026-08-04T19:41:18.922781Z digest=sha256:1d2775a31171b018eacf7c3b40cfba305289557f7cdc560131453cd557c09a09

Observation d84d6b29-ca29-414e-aa3f-11fac12dca83 · outbound

This paper cites Challenges in Quasinormal Mode Extraction: Perspectives from Numerical solutions to the Teukolsky Equation.

Probing Direct Waves in Black Hole Ringdowns Challenges in Quasinormal Mode Extraction: Perspectives from Numerical solutions to the Teukolsky Equation

Reference 13

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source=pdf_text observed=2026-08-04T19:41:18.927248Z digest=sha256:825eb47d34b5e8c18a0c48c78908d86b4bb57b728f92ef927578d9f4cc3cfd74

Observation 0ced8534-747b-43eb-96a0-323ca5032eb4 · outbound

This paper cites Angular emission patterns of remnant black holes.

Probing Direct Waves in Black Hole Ringdowns Angular emission patterns of remnant black holes

Reference 14

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source=pdf_text observed=2026-08-04T19:41:18.932203Z digest=sha256:4a3395869f4693903cbae0ac0e04a52abac4119a6a30d2841d73fe2f4465a06c

Observation c45ce5ef-f9d6-44b0-ba57-efee847f0e13 · outbound

This paper cites Universal features of gravitational waves emitted by superkick binary black hole systems.

Probing Direct Waves in Black Hole Ringdowns Universal features of gravitational waves emitted by superkick binary black hole systems

Reference 15

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source=pdf_text observed=2026-08-04T19:41:18.936573Z digest=sha256:3d100e4677a89e0bee8bfdb38cfd68c0c491b7d6a0d32650d6a2fb5528e1ed85

Observation fc528004-7a8f-4b30-98dc-3af2b0600990 · outbound

This paper cites Nonlinearities in Black Hole Ringdowns.

Probing Direct Waves in Black Hole Ringdowns Nonlinearities in Black Hole Ringdowns

Reference 16

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source=pdf_text observed=2026-08-04T19:41:18.941139Z digest=sha256:6ab39495d0bf61dcfe1c7b3922a344b9abd52f42d74ee0e9b7a8634afd6f8599

Observation d148e363-d4d2-446f-96c3-4e8634836cb3 · outbound

This paper cites Nonlinear effects in black hole ringdown.

Probing Direct Waves in Black Hole Ringdowns Nonlinear effects in black hole ringdown

Reference 17

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source=pdf_text observed=2026-08-04T19:41:18.947060Z digest=sha256:3d126ec7226bd8ab3dff644506e1541091629214d0b98ddfb35e490bf0579fa6

Observation d08f091d-e363-4345-92c4-ff8c2d9c880a · outbound

This paper cites Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers.

Probing Direct Waves in Black Hole Ringdowns Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers

Reference 18

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source=pdf_text observed=2026-08-04T19:41:18.951533Z digest=sha256:7b71a5069dc40dde6ba731d15a3b86e9451034b0e943b8c29498ba1a25d15106

Observation b2885fee-5705-4d18-9e3c-eadc0364e63d · outbound

This paper cites Nonlinear ringdown at the black hole horizon.

Probing Direct Waves in Black Hole Ringdowns Nonlinear ringdown at the black hole horizon

Reference 19

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source=pdf_text observed=2026-08-04T19:41:18.955966Z digest=sha256:9603b086a4a327d7ae97d71517287fc3ce4df9151c0f889ddceddd0c0df09c65

Observation 0220f4b6-57a2-4145-bb18-edb7590d8483 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Quadratic Mode Couplings in Rotating Black Holes and Their Detectability

Reference 20

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source=pdf_text observed=2026-08-04T19:41:18.960638Z digest=sha256:f767c717bdb07ef32f3535acb54b2f49e03b7a03b299c175f1c2918dffd08612

Observation a40334b1-5a41-4e94-85fc-4797c5abc3d9 · outbound

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

Probing Direct Waves in Black Hole Ringdowns The excitation of quadratic quasinormal modes for Kerr black holes

Reference 21

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source=pdf_text observed=2026-08-04T19:41:18.964900Z digest=sha256:233e34aa512730d1de2ef86536c79d5ba58f02cd6413cd29caab93f155b3dd50

Observation dd6fe056-41bd-4c48-945c-1e589c577fac · outbound

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

Probing Direct Waves in Black Hole Ringdowns Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling

Reference 22

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source=pdf_text observed=2026-08-04T19:41:18.969341Z digest=sha256:4d55839536d43cbf8d9ddde6ed4e66540902450f8a1fc31aa476c55d43ffeb74

Observation 862efeb3-8238-4b50-b652-7e99c08e8385 · outbound

This paper cites Spin dependence of black hole ringdown nonlinearities.

Probing Direct Waves in Black Hole Ringdowns Spin dependence of black hole ringdown nonlinearities

Reference 23

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source=pdf_text observed=2026-08-04T19:41:18.974011Z digest=sha256:eaf1d2d33f956120667db67e9824c196487840036e40acd01c924a634a96053e

Observation 745c696c-273a-4c01-a601-c0e5ff99fc76 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole

Reference 24

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source=pdf_text observed=2026-08-04T19:41:18.978712Z digest=sha256:e97ca177cd5f52d465ceea134c180b9306ffdbedbb945661800659c5bcb15085

Observation e322b839-f3eb-450c-86ab-35f55a24d018 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Quadratic quasi-normal mode dependence on linear mode parity

Reference 25

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source=pdf_text observed=2026-08-04T19:41:18.983590Z digest=sha256:ecd5c836228d6ed9de27209e6726ddaa2dd1df4b3e14ca0f923bc56a8d322ddb

Observation 8f6f2f9a-dc34-41ed-a4ce-c87e0fb69b29 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Amplitudes and Polarizations of Quadratic Quasi-Normal Modes for a Schwarzschild Black Hole

Reference 26

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source=pdf_text observed=2026-08-04T19:41:18.988139Z digest=sha256:43777482f431707868af2b25f1cbd4da4c32556aac0d1e13cafc74859f4f4d78

Observation ce2a96c4-c530-4650-b0eb-6ede0aa4faa9 · outbound

This paper cites Black hole spectroscopy with nonlinear quasi-normal modes.

Probing Direct Waves in Black Hole Ringdowns Black hole spectroscopy with nonlinear quasi-normal modes

Reference 27

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source=pdf_text observed=2026-08-04T19:41:18.992755Z digest=sha256:6604814bd848dc5be77bb12ade3c029676f3dd584017c78bfc47c3ef2daafa86

Observation 63b338fb-68c1-4cce-88ab-ad3ed29bd102 · outbound

This paper cites Nonlinear quasinormal mode detectability with next-generation gravitational wave detectors.

Probing Direct Waves in Black Hole Ringdowns Nonlinear quasinormal mode detectability with next-generation gravitational wave detectors

Reference 28

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source=pdf_text observed=2026-08-04T19:41:18.997206Z digest=sha256:8e7da9617ca03291d0ef6fe1fc3d20ff86fc03bc14da2a5be698654a3efad828

Observation 6c4221d5-6ee8-414d-ab49-ba8040a8e7b9 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime

Reference 29

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Observation 7796d6b9-e506-4b10-b0b1-cac8f72c9835 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Nonlinear effect of absorption on the ringdown of a spinning black hole

Reference 30

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source=pdf_text observed=2026-08-04T19:41:19.006782Z digest=sha256:5622d240caf8ca59deaabda3fd495a952888e629e700c2c3a4b34721a64bc7b1

Observation c69d5107-1859-41c3-8dbf-43eef37f7bab · outbound

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

Probing Direct Waves in Black Hole Ringdowns Imprints of Changing Mass and Spin on Black Hole Ringdown

Reference 31

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Observation 9c104920-030e-4ece-8839-a8bcc8fb6d03 · outbound

This paper cites an unresolved cited work.

Probing Direct Waves in Black Hole Ringdowns Unresolved cited work

Reference 32

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Observation f34bf0fa-78bc-402b-a817-3460f17d9f53 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Nonlinear effects in the black hole ringdown: absorption-induced mode excitation

Reference 33

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source=pdf_text observed=2026-08-04T19:41:19.020489Z digest=sha256:7b7d186d1ac060a5a54ce90647221b52daac22c75b7750fb762a24e553d376a1

Observation e34f3ec9-03fb-4f45-a075-075798b4c595 · outbound

This paper cites Merging black holes with Cauchy-characteristic matching: Computation of late-time tails.

Probing Direct Waves in Black Hole Ringdowns Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

Reference 34

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Observation 59d50447-42ea-4a19-9b51-324d0138bb07 · outbound

This paper cites De Amiciset al., (2024), arXiv:2412.06887 [gr-qc].

Probing Direct Waves in Black Hole Ringdowns De Amiciset al., (2024), arXiv:2412.06887 [gr-qc]

Reference 35

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source=pdf_text observed=2026-08-04T19:41:19.029416Z digest=sha256:44b4dc11cec24f00ae11ac39c825ea2b2c329abe144cc295fe085fd4a3c32fe3

Observation e15bf286-326d-4eb0-80f3-9e4e191d3902 · outbound

This paper cites Islam, G.

Probing Direct Waves in Black Hole Ringdowns Islam, G

Reference 36

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source=pdf_text observed=2026-08-04T19:41:19.034242Z digest=sha256:c721f86fabc8a85262a7843cd26c71b8ce95d54b00b8209507de6ba7a5439e86

Observation d010ae1e-46f3-4126-a2dc-54dbf72d3712 · outbound

This paper cites Inspiral-inherited ringdown tails.

Probing Direct Waves in Black Hole Ringdowns Inspiral-inherited ringdown tails

Reference 37

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source=pdf_text observed=2026-08-04T19:41:19.038839Z digest=sha256:0cbfca7a907564c873d8d04bb568231439579750fdc54e63beb8726ddc4da2c7

Observation 406f7872-37ec-4986-98e0-2e5666fa9497 · outbound

This paper cites Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail.

Probing Direct Waves in Black Hole Ringdowns Einstein-Klein-Gordon system via Cauchy-characteristic evolution: Computation of memory and ringdown tail

Reference 38

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no resolver link, observed 2026-08-04T19:41:19.043819Z

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source=pdf_text observed=2026-08-04T19:41:19.043819Z digest=sha256:dc14f0712335f910cd320734dd0c0dd87d439bed0d01a43e073994f77319facb

Observation 24e125bc-3e95-4990-bd61-eea2715fc181 · outbound

This paper cites Hushing black holes: tails in dynamical spacetimes.

Probing Direct Waves in Black Hole Ringdowns Hushing black holes: tails in dynamical spacetimes

Reference 39

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no resolver link, observed 2026-08-04T19:41:19.048417Z

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source=pdf_text observed=2026-08-04T19:41:19.048417Z digest=sha256:e8de2ab7fa5dab4b87eb809a2cf7ce1265c67a915aee309a03cde7085d33d6d3

Observation d2fcfbc4-2364-47f2-ac09-a79a827ae4f7 · outbound

This paper cites Carullo, W.

Probing Direct Waves in Black Hole Ringdowns Carullo, W

Reference 40

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no resolver link, observed 2026-08-04T19:41:19.053466Z

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source=pdf_text observed=2026-08-04T19:41:19.053466Z digest=sha256:55b5b2840af6f56b8333d499ffa1e08b552dd0e8a09e1714874ef56f7f8aceab

Observation 7f30e01c-34df-40d8-8240-dc5f22918ecb · outbound

This paper cites an unresolved cited work.

Probing Direct Waves in Black Hole Ringdowns Unresolved cited work

Reference 41

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no resolver link, observed 2026-08-04T19:41:19.058524Z

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source=pdf_text observed=2026-08-04T19:41:19.058524Z digest=sha256:77ef2261229e13c6be4800d9c1576361d9290c78f23a7126ac76a8720cdebeb7

Observation 3e93c166-e236-487c-81db-81382e34acfb · outbound

This paper cites Constraints on quasi-normal-mode frequencies with LIGO-Virgo binary-black-hole observations.

Probing Direct Waves in Black Hole Ringdowns Constraints on quasi-normal-mode frequencies with LIGO-Virgo binary-black-hole observations

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.063292Z

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source=pdf_text observed=2026-08-04T19:41:19.063292Z digest=sha256:1a1bd421e453ad4e1e33ab0207c69471a1552b31e64098056f372bbc3aede171

Observation 79663cd9-51a7-44fd-8455-5b3f5f5907af · outbound

This paper cites Searching for a Ringdown Overtone in GW150914.

Probing Direct Waves in Black Hole Ringdowns Searching for a Ringdown Overtone in GW150914

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.068042Z

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source=pdf_text observed=2026-08-04T19:41:19.068042Z digest=sha256:b843c4f2c1dfe46c275a60e4b9a43db2adc86db62afac2617d0ee6830f90b2a5

Observation 3e57888f-64f1-4797-8e74-82e97e914c33 · outbound

This paper cites Using rational filters to uncover the first ringdown overtone in GW150914.

Probing Direct Waves in Black Hole Ringdowns Using rational filters to uncover the first ringdown overtone in GW150914

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.072929Z

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source=pdf_text observed=2026-08-04T19:41:19.072929Z digest=sha256:b532c74243895663f925f818ec1d186a3ab814a7dd81113e57a917b9ebaff1c7

Observation 665c7a62-82a0-499d-8f53-4270de198908 · outbound

This paper cites Black hole spectroscopy by mode cleaning.

Probing Direct Waves in Black Hole Ringdowns Black hole spectroscopy by mode cleaning

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.077574Z

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source=pdf_text observed=2026-08-04T19:41:19.077574Z digest=sha256:fdd3f00ed248c98852309a32cf2f31ba8221ccf339cba109513143c1fdc525f4

Observation df0df9ed-d697-41de-9671-e8137ab80960 · outbound

This paper cites an unresolved cited work.

Probing Direct Waves in Black Hole Ringdowns Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.082235Z

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source=pdf_text observed=2026-08-04T19:41:19.082235Z digest=sha256:ef414ad2f14af00d8d3ed7b736065503297310e730ad1b366935342f5b062f55

Observation ae1d059b-4e61-4442-8fdb-d760495a4c25 · outbound

This paper cites Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty.

Probing Direct Waves in Black Hole Ringdowns Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.086776Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.086776Z digest=sha256:f09f1926f7e197989ffea8532205cb67be961dd6a53e47de4ce6b4264795606c

Observation b66cd299-d041-4704-a941-386ebe1880e6 · outbound

This paper cites A multimode quasi-normal spectrum from a perturbed black hole.

Probing Direct Waves in Black Hole Ringdowns A multimode quasi-normal spectrum from a perturbed black hole

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.091423Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.091423Z digest=sha256:707a976f5c46a4b668525d9f6d78cff70b2263cac864a13ad0a9099f9c9bc594

Observation 4ac01101-630f-4a6a-8af8-7bd24e156a3c · outbound

This paper cites The Ringdown of GW190521: Hints of Multiple Quasinormal Modes with a Precessional Interpretation.

Probing Direct Waves in Black Hole Ringdowns The Ringdown of GW190521: Hints of Multiple Quasinormal Modes with a Precessional Interpretation

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.096280Z

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source=pdf_text observed=2026-08-04T19:41:19.096280Z digest=sha256:c898af743623329646b2cac1210b2d0026697295ac9b2f0b6360149d3998c3e5

Observation 6188cdfe-7a13-42f7-8b1c-0bfd6902b274 · outbound

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

Probing Direct Waves in Black Hole Ringdowns Black hole spectroscopy: from theory to experiment

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.100928Z

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source=pdf_text observed=2026-08-04T19:41:19.100928Z digest=sha256:5f9e716d5c38831264f0385b9b7e38b9b4807560ea8b33ded9b473d442c545b9

Observation 278db5f4-a3bd-4061-8fb2-ab0a597982e2 · outbound

This paper cites Gravitational Radiation from Plunging Orbits - Perturbative Study -.

Probing Direct Waves in Black Hole Ringdowns Gravitational Radiation from Plunging Orbits - Perturbative Study -

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.105545Z

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source=pdf_text observed=2026-08-04T19:41:19.105545Z digest=sha256:3dd083470d10b3bc6071623f3e15ad3b01445ccb485dbf7e76199665259ea906

Observation d244795d-a60c-4542-9b3f-957323df2192 · outbound

This paper cites New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole.

Probing Direct Waves in Black Hole Ringdowns New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.109993Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.109993Z digest=sha256:4932aadb653a5365c42e80739acf3da75f3830d8a34f260f5e58686ebb878089

Observation aa5a123a-8406-4a5f-b91d-d7804ceef42f · outbound

This paper cites The impact of initial conditions on quasi-normal modes.

Probing Direct Waves in Black Hole Ringdowns The impact of initial conditions on quasi-normal modes

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.114642Z

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source=pdf_text observed=2026-08-04T19:41:19.114642Z digest=sha256:7e6eb12d6ab7088c0c684989c5e6348ad7f2c1327fb22d1f0d25f7fa38a0505f

Observation 379f0545-2f77-43a9-bb9c-89bd85b31105 · outbound

This paper cites De Amicis, E.

Probing Direct Waves in Black Hole Ringdowns De Amicis, E

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.119436Z

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source=pdf_text observed=2026-08-04T19:41:19.119436Z digest=sha256:ad82c1b29e01f1dd5aa3f9b4a11c4b786917177546e66b95f88f45eb396a72a5

Observation 4dbff07f-cff2-4d06-9462-cb242bd543b2 · outbound

This paper cites Kojima and T.

Probing Direct Waves in Black Hole Ringdowns Kojima and T

Reference 55

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unresolved
no resolver link, observed 2026-08-04T19:41:19.123637Z

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source=pdf_text observed=2026-08-04T19:41:19.123637Z digest=sha256:5efc09467e1e658cbc6f585bbad0863a609b60fe818b0a573f944b7d550da007

Observation d1b984bc-89ca-4259-a60a-419fe76550fe · outbound

This paper cites Gravitational Waves in Brans-Dicke Theory : Analysis by Test Particles around a Kerr Black Hole.

Probing Direct Waves in Black Hole Ringdowns Gravitational Waves in Brans-Dicke Theory : Analysis by Test Particles around a Kerr Black Hole

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.128034Z

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source=pdf_text observed=2026-08-04T19:41:19.128034Z digest=sha256:402910190e03e44ae1c1cf4c1a82fa1add43cf82c67c34affe7d0a74bb93d36e

Observation da2a2160-7240-49c2-9883-5d5834d5f228 · outbound

This paper cites Saijo, K.-i.

Probing Direct Waves in Black Hole Ringdowns Saijo, K.-i

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.133789Z

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source=pdf_text observed=2026-08-04T19:41:19.133789Z digest=sha256:793fc803e14515606cae120eb7bf88d838e4d5733a838427ba8e1727faf3254c

Observation f541b340-cf01-4e02-9cae-0cbc04fccde4 · outbound

This paper cites Ringdown of a postinnermost stable circular orbit of a rapidly spinning black hole: Mass ratio dependence of higher harmonic quasinormal mode excitation.

Probing Direct Waves in Black Hole Ringdowns Ringdown of a postinnermost stable circular orbit of a rapidly spinning black hole: Mass ratio dependence of higher harmonic quasinormal mode excitation

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.138000Z

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source=pdf_text observed=2026-08-04T19:41:19.138000Z digest=sha256:22c80f90c0cbd293d6ed4d09ed9514627dcba6a30b99c627dcbf022dc1cc5bee

Observation 1f7f0b70-a1a6-4180-bc79-a9624f1bae58 · outbound

This paper cites The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole.

Probing Direct Waves in Black Hole Ringdowns The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole

Reference 59

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unresolved
no resolver link, observed 2026-08-04T19:41:19.142590Z

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source=pdf_text observed=2026-08-04T19:41:19.142590Z digest=sha256:02c60af05dfee5e03067f0e3c3a550a4188d464a6ad861f57b6dae54a1e825e0

Observation 97733fa0-cba8-4087-96d5-4d28573435c0 · outbound

This paper cites A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries.

Probing Direct Waves in Black Hole Ringdowns A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries

Reference 60

Resolution
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no resolver link, observed 2026-08-04T19:41:19.147461Z

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source=pdf_text observed=2026-08-04T19:41:19.147461Z digest=sha256:9ed69b47b501d0714e1ee71b648ced40eaee8e913632cce9374e0441e50be72c

Observation c9654b61-a198-4f96-839d-33f2c48f44d6 · outbound

This paper cites Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory.

Probing Direct Waves in Black Hole Ringdowns Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.151982Z

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source=pdf_text observed=2026-08-04T19:41:19.151982Z digest=sha256:53ca1d8ca4100257240ed85fb4e79a92891aa0810d7167d58c15b4d2b4265148

Observation b8bceb53-9107-4001-8191-ad01334dad7e · outbound

This paper cites Surrogate model for gravitational wave signals from non-spinning, comparable- to large-mass-ratio black hole binaries built on black hole perturbation theory waveforms calibrated to numerical relativity.

Probing Direct Waves in Black Hole Ringdowns Surrogate model for gravitational wave signals from non-spinning, comparable- to large-mass-ratio black hole binaries built on black hole perturbation theory waveforms calibrated to numerical relativity

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.156818Z

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source=pdf_text observed=2026-08-04T19:41:19.156818Z digest=sha256:598aba64459cfd9230f14074867c9da2aca5dea4791e830126deaa25fb7748a3

Observation 034fe552-74fe-44ee-be69-10f15f9e74cc · outbound

This paper cites Study of the Intermediate Mass Ratio Black Hole Binary Merger up to 1000:1 with Numerical Relativity.

Probing Direct Waves in Black Hole Ringdowns Study of the Intermediate Mass Ratio Black Hole Binary Merger up to 1000:1 with Numerical Relativity

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.161150Z

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source=pdf_text observed=2026-08-04T19:41:19.161150Z digest=sha256:2b0bc8c55bddea4920c9daae0713fbc8e05884e6cc417d6f3ab79e4f4807f397

Observation 5e3e2357-3908-4f37-83af-f51555a30670 · outbound

This paper cites Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state.

Probing Direct Waves in Black Hole Ringdowns Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state

Reference 64

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unresolved
no resolver link, observed 2026-08-04T19:41:19.165575Z

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source=pdf_text observed=2026-08-04T19:41:19.165575Z digest=sha256:e2656e29eac33a3b1c8574fc87ad0a5d2e730f8651d05cee7800d9be7ff9f01f

Observation ec0ab523-acb8-4616-a836-69a9ed8561a0 · outbound

This paper cites an unresolved cited work.

Probing Direct Waves in Black Hole Ringdowns Unresolved cited work

Reference 65

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no resolver link, observed 2026-08-04T19:41:19.171273Z

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source=pdf_text observed=2026-08-04T19:41:19.171273Z digest=sha256:32517b9c13a5e7826c10c2dbe6935776d539dc9bbdd6529d109817c801ddd3c8

Observation 3f99348f-e872-4ba8-abf8-4ae4e5005e5d · outbound

This paper cites Analyzing black-hole ringdowns.

Probing Direct Waves in Black Hole Ringdowns Analyzing black-hole ringdowns

Reference 66

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unresolved
no resolver link, observed 2026-08-04T19:41:19.176051Z

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source=pdf_text observed=2026-08-04T19:41:19.176051Z digest=sha256:9d9b4604010d3485b8f44efa4d75dd9208159c49fbdd01f640c72766c41efbb7

Observation 8838e9f4-9573-454f-9c3e-5ba218e47a4a · outbound

This paper cites Noise curves,.

Probing Direct Waves in Black Hole Ringdowns Noise curves,

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.180782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:41:19.180782Z digest=sha256:34c65b05ceabfe428a6109e2c1f18567e6baa1b1fc96f89af1d3af240e623539

Observation 0a7e6a39-467f-4f26-8344-6df938bd282e · outbound

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

Probing Direct Waves in Black Hole Ringdowns Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.185184Z

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source=pdf_text observed=2026-08-04T19:41:19.185184Z digest=sha256:e3cb1c1f0592c3755d090a6ca95f61ae5b2f94e41ec4422be43c9e768fd126da

Observation 44bcb8f4-57d4-4976-a8b9-614bd0847e18 · outbound

This paper cites Testing the no-hair theorem with GW150914.

Probing Direct Waves in Black Hole Ringdowns Testing the no-hair theorem with GW150914

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.189806Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:41:19.189806Z digest=sha256:d7adf334e123e5bab35a4e349c76d2df542a7b3df15e0c4917a9f3d45f0675d0

Observation 83adc6e7-022a-4817-857f-e82d2c3cee9c · outbound

This paper cites Einstein telescope,.

Probing Direct Waves in Black Hole Ringdowns Einstein telescope,

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.194433Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.194433Z digest=sha256:f52428c6ecf86828ce35930cbfaf64ab548cbc77b91a86f186f71047e3d21066

Observation 34d5e13c-45d5-45e0-a104-771ac7ba1422 · outbound

This paper cites Pushing towards the ET sensitivity using 'conventional' technology.

Probing Direct Waves in Black Hole Ringdowns Pushing towards the ET sensitivity using 'conventional' technology

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.199376Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:41:19.199376Z digest=sha256:d89c3cc0a36f74648dff86cdc55274013dd5dcd6e4ff9c654ec5528ad975a5df

Observation 278ce80a-6ec2-4142-8874-1f5a52d5f281 · outbound

This paper cites Cosmic explorer,.

Probing Direct Waves in Black Hole Ringdowns Cosmic explorer,

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.204281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:41:19.204281Z digest=sha256:ca7f0a2c0143edf6f1e74672d1714150089d5793d63cdf2a215cfd6465741f00

Observation dd3f344b-1f5a-4b7a-b029-70ec849d478f · outbound

This paper cites Science-Driven Tunable Design of Cosmic Explorer Detectors.

Probing Direct Waves in Black Hole Ringdowns Science-Driven Tunable Design of Cosmic Explorer Detectors

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.209149Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.209149Z digest=sha256:94b44b02bff90b27f613e9d080010e6de81e0675ab79bd68bbf7582589273358

Observation 3578a398-2bc7-4e11-a936-6a4052277f56 · outbound

This paper cites A Horizon Study for Cosmic Explorer: Science, Observatories, and Community.

Probing Direct Waves in Black Hole Ringdowns A Horizon Study for Cosmic Explorer: Science, Observatories, and Community

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.214085Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-04T19:41:19.214085Z digest=sha256:6b99cf927eb5dcbe7f714e6962948d5922b8c64dc322b239bca58487c1311188

Observation 8008a873-5153-4c15-8266-919491f14544 · outbound

This paper cites Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism.

Probing Direct Waves in Black Hole Ringdowns Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.218669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:41:19.218669Z digest=sha256:2dd335e59162bc0e5e381e858fe03f55b0aa6f0ead9443e98dd56f6d407ce73a

Observation 7a0be434-2612-4341-9f2d-95f57399d0a5 · outbound

This paper cites Effective-one-body model for black-hole binaries with generic mass ratios and spins.

Probing Direct Waves in Black Hole Ringdowns Effective-one-body model for black-hole binaries with generic mass ratios and spins

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-04T19:41:19.223379Z

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source=pdf_text observed=2026-08-04T19:41:19.223379Z digest=sha256:c64d6144afa39de297296b98bb9aa6d9b5ff912599e5618b2f10e7daf0d7a2a1

Observation 087c60f5-4a82-4695-b207-910b38a824b9 · outbound

This paper cites Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity.

Probing Direct Waves in Black Hole Ringdowns Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity

Reference 77

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Observation f9bb6ee8-ec23-4883-8254-d3ba556c3ad9 · outbound

This paper cites Probing direct waves in black hole ringdowns – simulation data,.

Probing Direct Waves in Black Hole Ringdowns Probing direct waves in black hole ringdowns – simulation data,

Reference 78

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source=pdf_text observed=2026-08-04T19:41:19.232522Z digest=sha256:5cc49c6f2426710c09edf7519301dd0601bba2ba0863ffa8272b67faf38d7f47

Observation 460f1b0c-9fa9-46f1-ad0f-7194a0fd075e · outbound

This paper cites Sasaki and T.

Probing Direct Waves in Black Hole Ringdowns Sasaki and T

Reference 79

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source=pdf_text observed=2026-08-04T19:41:19.236955Z digest=sha256:800cff3e568345d928fde47157e0d13c8518b9dc44108a579b617bfc0c97866b

Observation a507bad2-9039-4899-a086-c4926eb3a6bf · outbound

This paper cites Ringdown data,.

Probing Direct Waves in Black Hole Ringdowns Ringdown data,

Reference 80

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Pith citing papers

Observation 655a669c-ae1b-488a-9689-61fbeadf13aa · inbound

GW250114 reveals black hole horizon signatures cites this paper.

GW250114 reveals black hole horizon signatures Probing Direct Waves in Black Hole Ringdowns

Reference 37

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Observation 8f4c7e31-9bde-4d7c-902c-f8d8ac7ad35d · inbound

Quasinormal mode content of binary black hole ringdowns cites this paper.

Quasinormal mode content of binary black hole ringdowns Probing Direct Waves in Black Hole Ringdowns

Reference 45

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source=pdf_text observed=2026-08-04T09:43:33.285416Z digest=sha256:812b816d40bb714b5d0b2dab6c1f59f13dc77ce31c7d3a4c9f717d5f8152af99

Observation 5f03729f-b3c1-41fb-b495-782f71d91264 · inbound

Green function of the P\"{o}schl-Teller potential cites this paper.

Green function of the P\"{o}schl-Teller potential Probing Direct Waves in Black Hole Ringdowns

Reference 22

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arxiv_id, observed 2026-05-18T05:55:56.744501Z

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Observation 5a65c056-f55b-405d-b718-d15fdbdae7a9 · inbound

Prompt Response from Plunging Sources in Schwarzschild Spacetime cites this paper.

Prompt Response from Plunging Sources in Schwarzschild Spacetime Probing Direct Waves in Black Hole Ringdowns

Reference 50

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arxiv_id, observed 2026-05-11T07:26:01.849888Z

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Observation c93b000f-cf07-4135-8752-44c42ac9f5db · inbound

Early metal-enriched baryon cycling before the midpoint of cosmic reionization cites this paper.

Early metal-enriched baryon cycling before the midpoint of cosmic reionization Probing Direct Waves in Black Hole Ringdowns

Reference 29

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arxiv_id, observed 2026-07-05T01:50:34.968641Z

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Observation 005b9429-dd22-4090-8f91-42f722c1aa88 · inbound

Calculation of a regularized Teukolsky Green function in Schwarzschild spacetime cites this paper.

Calculation of a regularized Teukolsky Green function in Schwarzschild spacetime Probing Direct Waves in Black Hole Ringdowns

Reference 29

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arxiv_id, observed 2026-05-11T14:26:03.312043Z

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Observation 0418cb46-9f70-4445-b1af-77c78fb1b890 · inbound

Pole structure of the Kerr Green's function cites this paper.

Pole structure of the Kerr Green's function Probing Direct Waves in Black Hole Ringdowns

Reference 33

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arxiv_id, observed 2026-05-11T16:31:10.924404Z

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Observation fa1e9d8e-f844-4db2-9a01-75a30e396a65 · inbound

Ringdown Analysis of GW250114 with Orthonormal Modes cites this paper.

Ringdown Analysis of GW250114 with Orthonormal Modes Probing Direct Waves in Black Hole Ringdowns

Reference 27

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Observation f2772b15-5902-4bc8-92bc-66930f9b3a0d · inbound

Dynamical quasinormal mode excitation II: propagation and convergence in Schwarzschild cites this paper.

Dynamical quasinormal mode excitation II: propagation and convergence in Schwarzschild Probing Direct Waves in Black Hole Ringdowns

Reference 32

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arxiv_id, observed 2026-05-20T16:28:38.708727Z

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Observation 93cbeaf4-eb02-4264-a031-5da1ba2189b6 · inbound

Measuring a Black Hole's Area Immediately after Merger: A Direct-Wave Test of Hawking's Area Law cites this paper.

Measuring a Black Hole's Area Immediately after Merger: A Direct-Wave Test of Hawking's Area Law Probing Direct Waves in Black Hole Ringdowns

Reference 21

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arxiv_id, observed 2026-07-02T15:27:05.383420Z

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Observation 4f5f7493-c009-4006-8dd4-c97284e9c990 · inbound

Vanishing of all redshift modes in Schwarzschild ringdown cites this paper.

Vanishing of all redshift modes in Schwarzschild ringdown Probing Direct Waves in Black Hole Ringdowns

Reference 20

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arxiv_id, observed 2026-07-02T19:57:19.356790Z

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Observation 34abe669-fd9d-40f9-8de8-83afff27f7ca · inbound

Modeling Direct Waves in Binary Black Hole Ringdowns cites this paper.

Modeling Direct Waves in Binary Black Hole Ringdowns Probing Direct Waves in Black Hole Ringdowns

Reference 16

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arxiv_id, observed 2026-07-04T19:00:05.770034Z

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Observation 2d54fe38-9cdd-4026-a58e-3de56f185254 · inbound

The Direct Wave is Not a Meaningful Test of Horizon Properties cites this paper.

The Direct Wave is Not a Meaningful Test of Horizon Properties Probing Direct Waves in Black Hole Ringdowns

Reference 23

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arxiv_id, observed 2026-07-03T08:17:44.513168Z

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Observation 35ec4aca-6d30-4504-bf3c-b03274a4aa2b · inbound

Foundations of Direct Waves in Schwarzschild Ringdown cites this paper.

Foundations of Direct Waves in Schwarzschild Ringdown Probing Direct Waves in Black Hole Ringdowns

Reference 47

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local_arxiv, observed 2026-07-10T23:37:42.360693Z

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Observation 23b22737-db43-4c6a-a089-2c2adaf7cc46 · inbound

Optimal frequency scales for probing black-hole geometries cites this paper.

Optimal frequency scales for probing black-hole geometries Probing Direct Waves in Black Hole Ringdowns

Reference 12

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