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Paper Citation Record · LEDGER

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

As of 7 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 5 inbound Pith citation observations for arXiv:2507.01919.

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pith.paper-citation-record.v1
2507.01919 v1

Coverage vector

measured 65 of 65 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T20:57:23.273240Z

measured 70 of 70 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:51:07.106165Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T14:13:30.798774Z

Reference resolution

65 of 65 outbound references displayed

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Outbound references

Observation 5c179277-3d11-47f4-9330-8c2ae60415f9 · outbound

This paper cites (19) With the null frame built, the Hij(u) in Eq.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit (19) With the null frame built, the Hij(u) in Eq

Reference 1

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Observation 02b2f6ac-1409-4e19-b28b-fb5f7c67d693 · outbound

This paper cites independent.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit independent

Reference 2

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Observation 9e66eccb-a0d9-4b96-8ffd-1e30886e060a · outbound

This paper cites Tests of General Relativity with GWTC-3.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Tests of General Relativity with GWTC-3

Reference 3

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source=pdf_text observed=2026-08-06T20:57:18.609072Z digest=sha256:21e870c9f98295c8bc2a70f88ab948cdbf185fece1b4e791ebd3aedb0b7546c3

Observation e5987ab2-a1af-49d8-8769-60e4a8874de2 · outbound

This paper cites PBHs in the Era of GW Astronomy.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit PBHs in the Era of GW Astronomy

Reference 4

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Observation 1663b938-b253-41a2-81db-739cac46f2ea · outbound

This paper cites (C29) It can be checked that the frequency at large ℓ at leading order is just ωℓ = pv = ℓ b0 = E, (C30) where E is the conserved energy of the null geodesic.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit (C29) It can be checked that the frequency at large ℓ at leading order is just ωℓ = pv = ℓ b0 = E, (C30) where E is the conserved energy of the null geodesic

Reference 5

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source=pdf_text observed=2026-08-06T20:57:18.345348Z digest=sha256:25db6ce6daa6c81b2e7fd05a7d497e38872b4d25b186ee36a81fea93727c33d6

Observation 3a73db20-7fb1-4c8a-a961-a475c564a752 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Black hole spectroscopy: from theory to experiment

Reference 6

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Observation 9b096b7a-f2a7-4937-b048-8d220ef5e867 · outbound

This paper cites Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

Reference 7

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source=pdf_text observed=2026-08-06T20:57:18.540174Z digest=sha256:289bf7a9f0749583dafedf5939fc269da362f70d22762ab915354fee6dd52aa6

Observation ec997206-43d4-472e-950d-b16984520360 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit The Ringdown of GW190521: Hints of Multiple Quasinormal Modes with a Precessional Interpretation

Reference 8

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Observation e84c4684-cb86-46c5-887c-5bc809031a95 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit A multimode quasi-normal spectrum from a perturbed black hole

Reference 9

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Observation 6d6729da-c487-4522-a5d4-3ca87bdd752d · outbound

This paper cites Searching for a Ringdown Overtone in GW150914.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Searching for a Ringdown Overtone in GW150914

Reference 10

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Observation 31b374f3-2dc0-477e-95ee-f8b732834c8d · outbound

This paper cites Revisiting the ringdown of GW150914.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Revisiting the ringdown of GW150914

Reference 11

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source=pdf_text observed=2026-08-06T20:57:18.884809Z digest=sha256:6ef7ee346a2e26356c56d4b46f55e8f0da64ebeeed6fb2214167684bfea4646a

Observation 8f1626dd-e722-499c-ab88-c0b3a5625e7b · outbound

This paper cites Analysis of Ringdown Overtones in GW150914.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Analysis of Ringdown Overtones in GW150914

Reference 12

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source=pdf_text observed=2026-08-06T20:57:18.992197Z digest=sha256:8b58b51d2fd6da49f051df50014ad3948f4dc665a9abe1c3736ee210fb5726e0

Observation 62ce0afa-75c3-434e-a05c-4e4ca57e3a01 · outbound

This paper cites Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes

Reference 13

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source=pdf_text observed=2026-08-06T20:57:19.512095Z digest=sha256:fbe811e8d9192f20a917e6fd75f704ff65d58d8b7fb77028ac283c11dc11b739

Observation 9733b2cc-dccb-4dc5-b4ff-0ef3720e8e12 · outbound

This paper cites On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA

Reference 14

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Observation 43757d4c-78bd-4889-b364-8ad4cdcfee6d · outbound

This paper cites Overtones or higher harmonics? Prospects for testing the no-hair theorem with gravitational wave detections.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Overtones or higher harmonics? Prospects for testing the no-hair theorem with gravitational wave detections

Reference 15

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source=pdf_text observed=2026-08-06T20:57:19.264255Z digest=sha256:bb6c91239ec116556ab03f012ef376655f9a709ce7f32dc2c1c3957a78049871

Observation cb718654-23d6-431a-9219-8ac4c865c220 · outbound

This paper cites Ringdown overtones, black hole spectroscopy, and no-hair theorem tests.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ringdown overtones, black hole spectroscopy, and no-hair theorem tests

Reference 16

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Observation c3db9573-50f6-475f-9599-9d7894db16a5 · outbound

This paper cites Exploring the no-hair theorem with LISA.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Exploring the no-hair theorem with LISA

Reference 17

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source=pdf_text observed=2026-08-06T20:57:19.428781Z digest=sha256:3ba7df467e7ab2e168c05185cf75fe7b8e0b3740d31c56df73826af70d36b1e9

Observation e9a92e15-0c99-4763-b6b5-0ed528ff6a00 · outbound

This paper cites Extracting linear and nonlinear quasinormal modes from black hole merger simulations.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Extracting linear and nonlinear quasinormal modes from black hole merger simulations

Reference 18

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Observation 6733a06a-f746-47b7-9351-ba69cb486805 · outbound

This paper cites Nonlinearities in Black Hole Ringdowns.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinearities in Black Hole Ringdowns

Reference 19

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source=pdf_text observed=2026-08-06T20:57:19.582663Z digest=sha256:8f09b74d5c81b66a3df5bdd9da8782cdf6374c57b7cd721f4a0372b084e3ed57

Observation 1831da62-1bba-4a55-a205-36fc561044c4 · outbound

This paper cites Nonlinear effects in black hole ringdown.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear effects in black hole ringdown

Reference 20

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source=pdf_text observed=2026-08-06T20:57:19.652056Z digest=sha256:77ec113070690587dc4d883a88a1f2cfc8122d83340864d818e4cfffe12c6b4c

Observation d133ce6c-1cb7-473b-bedd-4c800ec2bed3 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers

Reference 21

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source=pdf_text observed=2026-08-06T20:57:19.739168Z digest=sha256:e031a041b6a36a1440b17ebcd67499e3b67a6a2881b918e3742ef44f9a65d52a

Observation bbaed262-d233-4426-a3ee-18dfd6139380 · outbound

This paper cites Spin dependence of black hole ringdown nonlinearities.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Spin dependence of black hole ringdown nonlinearities

Reference 22

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Observation c258fe0d-6297-4fa4-b737-8c7c2bfd9974 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic quasi-normal mode dependence on linear mode parity

Reference 23

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Observation ef914994-7ea3-4772-85c2-708205f0e9cb · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling

Reference 24

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source=pdf_text observed=2026-08-06T20:57:19.989174Z digest=sha256:9e1e3cff49158d6c39bd8901561bd839f07ad94775547066acaffc4834f8202d

Observation a4c4ef35-7b38-4990-a5c3-907d6d1e7b79 · outbound

This paper cites Explaining Nonlinearities in Black Hole Ringdowns from Symmetries.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Explaining Nonlinearities in Black Hole Ringdowns from Symmetries

Reference 25

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source=pdf_text observed=2026-08-06T20:57:20.050254Z digest=sha256:65b9fd48d262ccd6fe3afb36bd01293d60e42fd40f67370e81a1c291e8f25b6e

Observation e9ca12d7-32e3-45f8-abc2-ca84af97c82b · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Non-linear Black Hole Ringdowns: an Analytical Approach

Reference 26

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source=pdf_text observed=2026-08-06T20:57:20.144791Z digest=sha256:8c29a6cff310a8586c4e01c57dcc5edfc605de8f2d24738ccfa53149b48e3957

Observation 3f69c1a7-0fba-444e-92b5-9f72c1c1cec6 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit The excitation of quadratic quasinormal modes for Kerr black holes

Reference 27

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Observation 1a2173c5-865f-4eeb-b38e-b20e943e33e8 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime

Reference 28

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source=pdf_text observed=2026-08-06T20:57:20.599058Z digest=sha256:986837f9be8fd03ae3781d3a6704eca9b3a624e007ab2d7ed548653337dc65a0

Observation 5e1a8f09-c5aa-40b2-b007-2f39b2e8376e · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole

Reference 29

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source=pdf_text observed=2026-08-06T20:57:20.333051Z digest=sha256:357cbd7ed99b624f7f084e1dc78875e158eb91eac1525a3a388108d67d8989be

Observation 408e34d0-4995-4556-be70-3941ecacd246 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic Mode Couplings in Rotating Black Holes and Their Detectability

Reference 30

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source=pdf_text observed=2026-08-06T20:57:20.402766Z digest=sha256:c578b08158f9f41e76c040a45141a4e6bf585a487aa2f5e32957107ae1dffc92

Observation d9a77415-999c-4efd-9a0f-db4290fd69b2 · outbound

This paper cites Nonlinear Effects in Black Hole Ringdown Made Simple: Quasi-Normal Modes as Adiabatic Modes.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear Effects in Black Hole Ringdown Made Simple: Quasi-Normal Modes as Adiabatic Modes

Reference 31

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source=pdf_text observed=2026-08-06T20:57:20.455804Z digest=sha256:342bc7e097061a6f17ea2550dbb8bef5b1949646a0c547f83cc1c3b1547a0624

Observation 4c142c75-c36b-4daa-868b-282306b8f6f0 · outbound

This paper cites Ringdown nonlinearities in the eikonal regime.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ringdown nonlinearities in the eikonal regime

Reference 32

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source=pdf_text observed=2026-08-06T20:57:20.517452Z digest=sha256:0e77e0c4df3ed8b31aa546a30a24d91160c535e9c0b173ea293504c293e7f289

Observation 3d7097b4-16b9-40ba-8101-8cdcd73bba26 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Black hole spectroscopy with nonlinear quasi-normal modes

Reference 33

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source=pdf_text observed=2026-08-06T20:57:20.947106Z digest=sha256:bc833812f74f5e7a99ca328015742841ebb578c832d54cf02f16cc0e76a5b939

Observation e31aeef2-edd8-4d44-a225-1a42bdd7272c · outbound

This paper cites Quadratic perturbations of the Schwarzschild black hole: The algebraically special sector.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic perturbations of the Schwarzschild black hole: The algebraically special sector

Reference 34

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source=pdf_text observed=2026-08-06T20:57:20.670360Z digest=sha256:3017ccf0089b3b6991203e221afed4b0c1b0bfdf94608bb124f8964faa3270f9

Observation 28751844-b93a-455d-892c-777721ecd92b · outbound

This paper cites Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown

Reference 35

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source=pdf_text observed=2026-08-06T20:57:20.738654Z digest=sha256:10b3be40a0c1ae94288ba4d90e290a2fee9c76195cb539bd0b2c71029dbdb60a

Observation 9407a93b-934e-40c0-89b8-010636212e02 · outbound

This paper cites Dynamical nonlinear tails in Schwarzschild black hole ringdown.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Dynamical nonlinear tails in Schwarzschild black hole ringdown

Reference 36

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source=pdf_text observed=2026-08-06T20:57:20.819617Z digest=sha256:31615a84684f35293cbe91f9f49b960dc28ca9a4d814bb91c01cf600c187e081

Observation 32272c55-68ac-4bac-9fb2-2a3f70cc5454 · outbound

This paper cites The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown

Reference 37

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source=pdf_text observed=2026-08-06T20:57:20.886019Z digest=sha256:738cbf564292d4bdf448898cc378c035d8e7ebecc8be9040a7f8c2acdb1be3e3

Observation 9c550fd2-475a-4c28-8e7b-d0dba12c36e4 · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:57:25.331947Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.330813Z digest=sha256:98acc3dc196e41d6ff5d4310428b47e4ac21f8766995ff35c449be59801acb59

Observation fabade8c-08a9-44ba-b998-2157f671f752 · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 39

Resolution
verified exact
doi, observed 2026-08-06T20:57:23.801612Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.028762Z digest=sha256:5581d11ffc5cbb7b126b3c10c1d37ed5103e94675ed2479b8835d0a7a0b04723

Observation 642f0c50-e0aa-4192-93fc-a957802c4604 · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:57:25.757397Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.100762Z digest=sha256:09df44a393595b300ffb29e28078661a63690a29f7efd8b0cc1448266a99ebec

Observation 548ba267-36fa-49af-9830-a05fbb573442 · outbound

This paper cites On the detectability and resolvability of quasi-normal modes with space-based gravitational wave detectors.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit On the detectability and resolvability of quasi-normal modes with space-based gravitational wave detectors

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:21.176407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:21.176407Z digest=sha256:9a89f8d387524c363d23a9c10a6f3354de88a1032f20f9d1426a02add06b28b5

Observation 194b5eac-5df5-4d37-986e-4be941547c0a · outbound

This paper cites Ferrari and B.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ferrari and B

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:57:25.581640Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.255667Z digest=sha256:cbf623278b3972e6153ad89e2f8a4ba21a018cf15dd69af900927ed4962ceecc

Observation 07c85a62-8909-48ea-bbe4-7d873b7925d0 · outbound

This paper cites Quasinormal Modes from Penrose Limits.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quasinormal Modes from Penrose Limits

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:21.770329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:21.770329Z digest=sha256:d70977a228b78553ab502393d64dfb1d0e01608e1a6cc0bf4975e5ee9c1cf84c

Observation f4023000-6ccf-40c3-8e37-0e851be99abb · outbound

This paper cites overtone.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit overtone

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:57:26.388629Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:18.173045Z digest=sha256:881308b363eb7008bfe77f0f49999c414ee84f17da3f355a175f3e2fda1a988d

Observation 33c561d7-1541-477f-9c83-850c77dcac0b · outbound

This paper cites Cardoso, A.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Cardoso, A

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:21.437912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:21.437912Z digest=sha256:969b84aca727b454963477df12055653e616e094b9d3ddae1d3e571285123e4b

Observation c23cd83b-74a4-42ac-881e-c2099a417cf0 · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 46

Resolution
verified exact
doi, observed 2026-08-06T20:57:23.652193Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.496878Z digest=sha256:17742a4215677ef6fef1f56a51f8819febd148ae70b6687c55e7fadb5efd5f9a

Observation 45643e5b-402c-49b1-8e8f-381879a14f39 · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:57:25.137297Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.613286Z digest=sha256:b64b7c56b4a3fb888aba9f253290d0f88ca86af3224f445aff3b0e7404629315

Observation 10e45caa-8316-4625-9464-a8eaa8ebdd3c · outbound

This paper cites Holography of the Photon Ring.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Holography of the Photon Ring

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:21.718029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:21.718029Z digest=sha256:6e1f3781e93bca076ac80aa10c9cf976f8d0106707e8b33d4a9a14963a060274

Observation 657e7423-dad8-4beb-9200-c92b923d040f · outbound

This paper cites Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:21.855476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:21.855476Z digest=sha256:a742092937b28ebdce058650c487d09fc9900cc3e7fafde7cd4ff83c78d48b98

Observation f8041949-2bbc-402a-a593-850d66b87131 · outbound

This paper cites Chandrasekhar, The mathematical theory of black holes(1985).

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Chandrasekhar, The mathematical theory of black holes(1985)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:57:25.043631Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:21.898195Z digest=sha256:cd762b6bf5fe0fad436bac6ee2f9786737423185c43e696c6f78100f6f771c48

Observation c4cc99ba-9449-4e0a-b552-0334a7e49820 · outbound

This paper cites Teo, General Relativity and Gravitation 53 (2021), 10.1007/s10714-020-02782-z.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Teo, General Relativity and Gravitation 53 (2021), 10.1007/s10714-020-02782-z

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.003453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.003453Z digest=sha256:81683f020c4ca35d5c8a63cdc3101fe217a6664fc0278c6c42b0c2cebd351079

Observation 5509bbae-ed98-4de3-8e0f-78867f22bbcc · outbound

This paper cites Teo, Gen.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Teo, Gen

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:57:24.891729Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:22.069236Z digest=sha256:2575551d7a2cc93a0bed8b51443e6e073f26d2563a7040f8a43eee9213abfbde

Observation f759454b-5332-43bf-8b46-7ec0ed1e56bd · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.153648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.153648Z digest=sha256:cb1e2b925443e43be315f5c68fd55f2a516b1f03a26097a9082ca0a62e375e49

Observation 2f59a0e5-1baa-434b-b510-197cd339266c · outbound

This paper cites Carter, Phys.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Carter, Phys

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.254613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.254613Z digest=sha256:f43b3cea73cbd118855f1b981f2bbea209a862ca2942380e7776826069714ba3

Observation 197b2373-89cb-4d38-8739-07bd1d312a21 · outbound

This paper cites Penrose, Rev.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Penrose, Rev

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:57:24.670239Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:22.369251Z digest=sha256:06da2cd155df76dd0fc2b4c5a9858b1ec94de7abf4247cbb870df31f76cc08d2

Observation 02bb5b5a-4f68-4600-80f6-b8daa80dbac4 · outbound

This paper cites Igata, H.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Igata, H

Reference 56

Resolution
verified exact
doi, observed 2026-08-06T20:57:23.506023Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T20:57:22.505449Z digest=sha256:d7e12c103fb2fb89ec5b0ce701c5f3d63a91fa0c6c350f8d854875903ac61e55

Observation 23108355-b262-4db4-8972-e79a3d31d6a1 · outbound

This paper cites Homogeneous Plane Waves.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Homogeneous Plane Waves

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.577099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.577099Z digest=sha256:bb47dca6e6c84d0355a190f131507e7f4083cb75227775a6696190ac4fac25b4

Observation 4f47fb9c-a44b-41b8-8417-d40740e485b7 · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.743957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.743957Z digest=sha256:28782320b6a3583b49db400c3b9941c920edd9ba4d635f0eb6ef65fdf7ac7449

Observation 877c44db-7690-4d05-aea0-63466a31efbf · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Numerical computation of second order vacuum perturbations of Kerr black holes

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.844210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.844210Z digest=sha256:924e4a8260b915bb838265c033b4c9c4e7bb68644aaa3cd0014154f0b89ae77e

Observation 4be353e6-b0d4-49b1-a554-c66b164057ae · outbound

This paper cites Scattering on plane waves and the double copy.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Scattering on plane waves and the double copy

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:22.957868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:22.957868Z digest=sha256:a5d7816f0b987e1fb3f68ed538c23cec89c809ca099f6cd87b730137127020d0

Observation c943ccee-0e50-427a-989e-5154bc24db9e · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Amplitudes and Polarizations of Quadratic Quasi-Normal Modes for a Schwarzschild Black Hole

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:23.018940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:23.018940Z digest=sha256:5c38a68b1ce256626ab60c1532ca0be00d2261967ce71097705c2b2e76df6e94

Observation 65ce9161-2cf3-40e7-b1af-3ed7f0645abf · outbound

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

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Second Order Quasi-Normal Mode of the Schwarzschild Black Hole

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:23.106613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:23.106613Z digest=sha256:44f040b05a50f0bcffb25bfda65480710284b4ffef1f5f97be97cc5d36afc7e9

Observation 3d2ce8b5-6c9c-4fb3-a6a7-0cabce8522e0 · outbound

This paper cites Ma and H.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ma and H

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:23.155227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:23.155227Z digest=sha256:5bda537364fde089f853dd9c57ce602695e4100dae6d853d129a6b5c594c2734

Observation 26f7db07-2c35-4a65-b8e6-13202ca71ce9 · outbound

This paper cites Brizuela, J.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Brizuela, J

Reference 64

Resolution
malformed identifier
no resolver link, observed 2026-08-06T20:57:23.208274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:23.208274Z digest=sha256:3a8ecb7098899ab676d954330dfc65affbeee311c81ee46750fbb09a849ec521

Observation f7c42f2a-8dc9-4d01-85f0-522e7e83e32a · outbound

This paper cites an unresolved cited work.

Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:23.273240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:23.273240Z digest=sha256:c968f1349451ede266f1be62ff57b0468c2507d8c2f724cfaf0286d468066c2c

Pith citing papers

Observation 5ed7ebbb-fc2b-43fe-bbde-9bc83419ead3 · inbound

The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective cites this paper.

The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T14:51:07.106165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:51:07.106165Z digest=sha256:c99955ec4d43fec827a111d9d9132b85e99d927d3af5e8941777800733e9404d

Observation 64ca43eb-819d-42f1-8dab-ee14bb1cea72 · inbound

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring cites this paper.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

Reference 118

Resolution
unresolved
no resolver link, observed 2026-08-05T10:55:30.092876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:55:30.092876Z digest=sha256:0e507dc0a5571559f1bf34821e0e563d465aa6eac38fd1321681558dbae31a8d

Observation a96b57eb-d703-40c7-a95b-4b8789bac3b1 · inbound

Black Hole Mergers as the Fastest Photon Ring Scramblers cites this paper.

Black Hole Mergers as the Fastest Photon Ring Scramblers Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-02T18:36:41.249319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:36:41.249319Z digest=sha256:efaca3d714e53b23e0432aa8c99d4b9100ccd3a885aa937262a0e97fd5f3c7d6

Observation 02347040-e8a7-49b7-a922-e42717ceaaf8 · 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 Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-05-11T17:11:18.475960Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-08T17:48:10.296695Z digest=sha256:87bd290c36f240e2b0977e0ec0b5fdc249f3e71d91ca663860871d2b2a9b1066

Observation 7dfb5f86-65af-41f2-8649-6a821d0c8491 · inbound

Black Hole Photon Rings Saturate the Quantum Chaos Bound cites this paper.

Black Hole Photon Rings Saturate the Quantum Chaos Bound Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:13:30.800127Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-29T06:48:15.636579Z digest=sha256:aa4be833a4729cf2b1ec5c8ff2cd1e397f8e935eaf0bb0014a010ded0b0af958