Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T06:56:17.499687Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2607.05489.
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 2026-07-11T06:56:17.499687Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
68 of 68 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7120a989-24aa-412e-91fa-f5e16727df0f · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 1
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Observation 4b1b0fa3-1c52-4c8d-b709-4c7577e55ca5 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Spacetime Embedding 8 D
Reference 2
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Observation 9cfcdc7a-bcc6-44c4-86cb-2bdecc03f186 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 3
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Observation 900e029d-0b45-48a1-98ae-d60f3be316a6 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 4
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Observation 190547d7-5ebe-42e7-93ea-ea781859b14e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 5
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Observation a488f312-3996-459d-b82b-12a17be30069 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 6
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Observation 7e6e56a7-72a4-4e8a-a26b-17f55361d3b9 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Results 16 A
Reference 7
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Observation f5b9f053-3e18-4880-b0d7-a7064a09d8e3 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A classifier of the type may be defined through the complex speciality index ([40, 41])
Reference 8
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Observation ca4c6b7f-2c25-439e-ba83-6c52ece62d19 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The relevant infinitesimal sym- metries are the three rotations of the round two-sphere
Reference 9
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Observation c611576b-cb62-4bd3-81d9-1b2612400fb4 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The base network still outputs the ambient Cholesky vector, while a wrapper applies Equation (32) and returns the flattened intrinsic metric
Reference 10
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Observation 7465b198-c714-41a6-bfec-8840a8b6fe3c · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The network described in Section IIIA is then trained with thisLE,Local loss only, forλ∈ {+1,0,−1}
Reference 11
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Observation c390b18a-0b3e-4e40-9ffc-7c752afddf1a · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The default Schwarzschild Lorentzian Einstein loss is then defined as 5 By this we meangE is obtained by the same vielbein asg, but usingδas the flat metric, instead ofη
Reference 12
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Observation 10f1da3f-3e43-4794-a20e-877b1a8c6215 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A complementary search can instead use the speciality index in the loss function as a repeller from the Schwarzschild/type-DvalueS= 1
Reference 13
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Observation 4b294a33-d550-4ca9-87ef-c2ff4078649f · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks MathematicsandMachineLearningProgram
Reference 14
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Observation c9eb5c70-d0df-409f-89fa-ee37adc1dad8 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The Dynamics of General Relativity
Reference 15
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Observation dd8fab02-80b9-4c10-b35e-9f3ab123e5d7 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Initial Data for Numerical Relativity
Reference 16
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Observation 302a6c49-61c4-41ff-9d07-4022c380933e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Numerical Relativity: A review
Reference 17
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Observation 8f2c5087-fd1f-4cd8-936f-e17cd15c1238 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Shibata and T
Reference 18
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Observation 4a38a290-bc3a-44b6-bc50-bbe94d334064 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 19
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Observation b5e72898-1b3a-45b6-b38b-0790c4621137 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Evolution of Binary Black Hole Spacetimes
Reference 20
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Observation 34d861fa-83db-440a-ad24-ea2a5dbd8ef1 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
Reference 21
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Observation ff25c695-d07e-477f-89fa-a1c56615fb72 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Gravitational wave extraction from an inspiraling configuration of merging black holes
Reference 22
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Observation a8e5e166-ab20-4a6f-8867-a17e6c38af91 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Black-hole binaries, gravitational waves, and numerical relativity
Reference 23
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Observation b45f3f89-b955-449a-bf13-611637007428 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
Reference 24
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Observation 1a99552c-e001-4fd4-8297-3f96f5eb41bb · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
Reference 25
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Observation ec346a59-7cf4-4b39-9fb6-66cbc38c2080 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
Reference 26
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Observation 73aad9c5-e2f2-4093-8f76-86630b065a02 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
Reference 27
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Observation 6a2a55e4-c3c6-4706-9f8a-640f5e30247e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A numerical approach to finding general stationary vacuum black holes
Reference 28
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Observation a7dc2ed9-3f9f-4351-9c01-07d7a4fc0d53 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Numerical Methods for Finding Stationary Gravitational Solutions
Reference 29
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Observation 7711a8ac-c726-48be-b92b-f41a48b481ba · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Lumpy AdS$\bf{_5\times}$ S$\bf{^5}$ Black Holes and Black Belts
Reference 30
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Observation 5d8aea72-9096-422a-a710-329ce1e7bc41 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
Reference 31
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Observation 3c3efee3-9027-4e22-867a-f30e384dcc0e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Hirst, T
Reference 32
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Observation 7623a444-5799-41e4-9f54-7535587c1ac8 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A Machine Learning Approach to the Nirenberg Problem,
Reference 33
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Observation 3c1c2934-6592-463e-9b15-cec6352bf737 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine learning Calabi-Yau metrics
Reference 34
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Observation 917db6fe-cfbd-466a-a7ac-8036c98fec89 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Douglas, S
Reference 35
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Observation f1ab29a3-e185-481c-a00a-2471eaa0a11d · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Learning Size and Shape of Calabi-Yau Spaces
Reference 36
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Observation c70027c8-50ce-4452-9e15-d043e7270257 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks CYJAX: A package for Calabi-Yau metrics with JAX
Reference 37
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Observation fe08e7c9-e633-4acd-a7de-21e80f729538 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine Learned Calabi-Yau Metrics and Curvature
Reference 38
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Observation 1c3cf239-bf47-4490-aa4f-52254305bb32 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Harmonic $1$-forms on real loci of Calabi-Yau manifolds
Reference 39
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Observation 1eb86e0a-2441-419d-b0a4-dfe8f5017a7b · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Neural and numerical methods for G2-structures on contact Calabi-Yau 7-manifolds,
Reference 40
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Observation b23a0baf-db52-4d60-aec3-a2e220b40700 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine Learning Gravity Compactifications on Negatively Curved Manifolds
Reference 41
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Observation 5f13bdf8-84b2-4261-b109-453bee639d5a · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Minimal surfaces, Knots, and Neural Networks
Reference 42
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Observation c2a9b78a-1914-49c9-b714-51b9064a8558 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Black holes and the loss landscape in machine learning
Reference 43
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Observation 875206f0-0fa0-458b-a5fe-433fc533e111 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks
Reference 44
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Observation 7139d8a8-fd5c-4d6e-9896-e70c2de586ba · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Einstein Fields: A Neural Per- spective To Computational General Relativity,
Reference 45
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Observation 9893daf0-84f9-4774-9951-6a36fdda343d · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine-Learning the Classification of Spacetimes
Reference 46
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Observation 1822685b-3302-4ccb-a661-678082568231 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Learning holographic horizons
Reference 47
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Observation 86c7cd3a-5e24-4587-bd34-d9a07269846e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine learning automorphic forms for black holes
Reference 48
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Observation 3ce20874-1a79-4b45-87c9-9a6c5efab928 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Hashimoto, K
Reference 49
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Observation 6fb72091-e978-477c-8195-9028c6ed50e2 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Minimising Willmore Energy via Neural Flow
Reference 50
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Observation d9823d99-8151-4ede-954b-22a3da594687 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks PINNs in More General Geometry
Reference 51
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Observation 58aa7340-0319-4cb5-b790-bf0819dd627e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Penrose, Physical Review Letters10, 66 (1963)
Reference 52
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Observation e6f0adee-a9a3-443b-8d03-061e73c08ad5 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The construction and application of penrose diagrams, with a focus on the maxi- mally analytically extended schwarzschild spacetime,
Reference 53
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Observation d64ae4ad-821c-4db3-9841-43c37a6ed353 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Making use of geometrical invariants in black hole collisions
Reference 54
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Observation 0f3ebe3e-212b-46f7-93ee-b9529363f307 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Stephani, D
Reference 55
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Observation 4cb56538-178f-4fe0-9071-2fd17c7e2f88 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
Reference 56
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Observation e73b416c-8db0-470e-a0e4-4df6158dc946 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Rosato, H
Reference 57
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Observation 0730f352-f09b-4df8-8d47-aae4659856b0 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Zakhary and C
Reference 58
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Observation debff3b0-0c72-4c47-a21e-750aaf13c128 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 59
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Observation a9fbc90a-478c-45a9-ac54-6a673100266c · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 60
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Observation c8ed9046-5232-43af-b8e3-b2a5541c86f3 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 61
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Observation d1251d51-4ed7-4cfc-a9c5-d312d944fe15 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Israel, Physical Review164, 1776 (1967)
Reference 62
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Observation 4f98988a-be51-425f-8bcd-93ca3f2c18c2 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Penrose, Phys
Reference 63
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Observation 613f68aa-0d61-45f4-a50d-d7c4ab21c35e · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 64
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Observation 24842574-ff5e-4d0b-9807-875dce467c25 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Isolated and dynamical horizons and their applications
Reference 65
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Observation 7b63d075-9b78-46b1-81db-59cb0d448b79 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work
Reference 66
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Observation 656db1b2-fde2-4923-977e-3fe5cbfa263f · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Quadrupolar gravitational fields described by the $q-$metric
Reference 67
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Observation 3a360433-c11f-4220-b62b-d1f4df87bcd3 · outbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Newman and R
Reference 68
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No inbound Pith citation observations are available.