Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:57:23.273240Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:57:23.273240Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T14:51:07.106165Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T14:13:30.798774Z
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5c179277-3d11-47f4-9330-8c2ae60415f9 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit (19) With the null frame built, the Hij(u) in Eq
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02b2f6ac-1409-4e19-b28b-fb5f7c67d693 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit independent
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9e66eccb-a0d9-4b96-8ffd-1e30886e060a · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Tests of General Relativity with GWTC-3
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5987ab2-a1af-49d8-8769-60e4a8874de2 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit PBHs in the Era of GW Astronomy
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1663b938-b253-41a2-81db-739cac46f2ea · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3a73db20-7fb1-4c8a-a961-a475c564a752 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Black hole spectroscopy: from theory to experiment
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b096b7a-f2a7-4937-b048-8d220ef5e867 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec997206-43d4-472e-950d-b16984520360 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e84c4684-cb86-46c5-887c-5bc809031a95 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit A multimode quasi-normal spectrum from a perturbed black hole
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d6729da-c487-4522-a5d4-3ca87bdd752d · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Searching for a Ringdown Overtone in GW150914
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 31b374f3-2dc0-477e-95ee-f8b732834c8d · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Revisiting the ringdown of GW150914
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f1626dd-e722-499c-ab88-c0b3a5625e7b · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Analysis of Ringdown Overtones in GW150914
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62ce0afa-75c3-434e-a05c-4e4ca57e3a01 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9733b2cc-dccb-4dc5-b4ff-0ef3720e8e12 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43757d4c-78bd-4889-b364-8ad4cdcfee6d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb718654-23d6-431a-9219-8ac4c865c220 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ringdown overtones, black hole spectroscopy, and no-hair theorem tests
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3db9573-50f6-475f-9599-9d7894db16a5 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Exploring the no-hair theorem with LISA
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9a92e15-0c99-4763-b6b5-0ed528ff6a00 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Extracting linear and nonlinear quasinormal modes from black hole merger simulations
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6733a06a-f746-47b7-9351-ba69cb486805 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinearities in Black Hole Ringdowns
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1831da62-1bba-4a55-a205-36fc561044c4 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear effects in black hole ringdown
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d133ce6c-1cb7-473b-bedd-4c800ec2bed3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbaed262-d233-4426-a3ee-18dfd6139380 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Spin dependence of black hole ringdown nonlinearities
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c258fe0d-6297-4fa4-b737-8c7c2bfd9974 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic quasi-normal mode dependence on linear mode parity
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef914994-7ea3-4772-85c2-708205f0e9cb · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4c4ef35-7b38-4990-a5c3-907d6d1e7b79 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Explaining Nonlinearities in Black Hole Ringdowns from Symmetries
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9ca12d7-32e3-45f8-abc2-ca84af97c82b · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Non-linear Black Hole Ringdowns: an Analytical Approach
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f69c1a7-0fba-444e-92b5-9f72c1c1cec6 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit The excitation of quadratic quasinormal modes for Kerr black holes
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a2173c5-865f-4eeb-b38e-b20e943e33e8 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e1a8f09-c5aa-40b2-b007-2f39b2e8376e · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 408e34d0-4995-4556-be70-3941ecacd246 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic Mode Couplings in Rotating Black Holes and Their Detectability
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9a77415-999c-4efd-9a0f-db4290fd69b2 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c142c75-c36b-4daa-868b-282306b8f6f0 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ringdown nonlinearities in the eikonal regime
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d7097b4-16b9-40ba-8101-8cdcd73bba26 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Black hole spectroscopy with nonlinear quasi-normal modes
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e31aeef2-edd8-4d44-a225-1a42bdd7272c · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quadratic perturbations of the Schwarzschild black hole: The algebraically special sector
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28751844-b93a-455d-892c-777721ecd92b · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9407a93b-934e-40c0-89b8-010636212e02 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Dynamical nonlinear tails in Schwarzschild black hole ringdown
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32272c55-68ac-4bac-9fb2-2a3f70cc5454 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c550fd2-475a-4c28-8e7b-d0dba12c36e4 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fabade8c-08a9-44ba-b998-2157f671f752 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 642f0c50-e0aa-4192-93fc-a957802c4604 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 548ba267-36fa-49af-9830-a05fbb573442 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 194b5eac-5df5-4d37-986e-4be941547c0a · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ferrari and B
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 07c85a62-8909-48ea-bbe4-7d873b7925d0 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Quasinormal Modes from Penrose Limits
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4023000-6ccf-40c3-8e37-0e851be99abb · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit overtone
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 33c561d7-1541-477f-9c83-850c77dcac0b · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Cardoso, A
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c23cd83b-74a4-42ac-881e-c2099a417cf0 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45643e5b-402c-49b1-8e8f-381879a14f39 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 10e45caa-8316-4625-9464-a8eaa8ebdd3c · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Holography of the Photon Ring
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 657e7423-dad8-4beb-9200-c92b923d040f · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8041949-2bbc-402a-a593-850d66b87131 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Chandrasekhar, The mathematical theory of black holes(1985)
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c4cc99ba-9449-4e0a-b552-0334a7e49820 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5509bbae-ed98-4de3-8e0f-78867f22bbcc · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Teo, Gen
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f759454b-5332-43bf-8b46-7ec0ed1e56bd · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f59a0e5-1baa-434b-b510-197cd339266c · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Carter, Phys
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 197b2373-89cb-4d38-8739-07bd1d312a21 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Penrose, Rev
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02bb5b5a-4f68-4600-80f6-b8daa80dbac4 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Igata, H
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 23108355-b262-4db4-8972-e79a3d31d6a1 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Homogeneous Plane Waves
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f47fb9c-a44b-41b8-8417-d40740e485b7 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 877c44db-7690-4d05-aea0-63466a31efbf · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Numerical computation of second order vacuum perturbations of Kerr black holes
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4be353e6-b0d4-49b1-a554-c66b164057ae · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Scattering on plane waves and the double copy
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c943ccee-0e50-427a-989e-5154bc24db9e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65ce9161-2cf3-40e7-b1af-3ed7f0645abf · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Second Order Quasi-Normal Mode of the Schwarzschild Black Hole
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d2ce8b5-6c9c-4fb3-a6a7-0cabce8522e0 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Ma and H
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26f7db07-2c35-4a65-b8e6-13202ca71ce9 · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Brizuela, J
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7c42f2a-8dc9-4d01-85f0-522e7e83e32a · outbound
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Unresolved cited work
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ed7ebbb-fc2b-43fe-bbde-9bc83419ead3 · inbound
The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64ca43eb-819d-42f1-8dab-ee14bb1cea72 · inbound
Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Reference 118
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Unavailable: canonical work link unavailable.
Observation a96b57eb-d703-40c7-a95b-4b8789bac3b1 · inbound
Black Hole Mergers as the Fastest Photon Ring Scramblers Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02347040-e8a7-49b7-a922-e42717ceaaf8 · inbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7dfb5f86-65af-41f2-8649-6a821d0c8491 · inbound
Black Hole Photon Rings Saturate the Quantum Chaos Bound Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Reference 27
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.