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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks

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.

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pith.paper-citation-record.v1
2607.05489 v1

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measured 68 of 68 reference resolution

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Outbound references

Observation 7120a989-24aa-412e-91fa-f5e16727df0f · outbound

This paper cites an unresolved cited work.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

Reference 1

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This paper cites Spacetime Embedding 8 D.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Spacetime Embedding 8 D

Reference 2

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

Reference 3

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

Reference 5

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

Reference 6

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This paper cites Results 16 A.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Results 16 A

Reference 7

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This paper cites A classifier of the type may be defined through the complex speciality index ([40, 41]).

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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This paper cites The relevant infinitesimal sym- metries are the three rotations of the round two-sphere.

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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This paper cites The base network still outputs the ambient Cholesky vector, while a wrapper applies Equation (32) and returns the flattened intrinsic metric.

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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This paper cites The network described in Section IIIA is then trained with thisLE,Local loss only, forλ∈ {+1,0,−1}.

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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This paper cites 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.

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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This paper cites A complementary search can instead use the speciality index in the loss function as a repeller from the Schwarzschild/type-DvalueS= 1.

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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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks MathematicsandMachineLearningProgram

Reference 14

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks The Dynamics of General Relativity

Reference 15

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Initial Data for Numerical Relativity

Reference 16

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Numerical Relativity: A review

Reference 17

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Shibata and T

Reference 18

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

Reference 19

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Evolution of Binary Black Hole Spacetimes

Reference 20

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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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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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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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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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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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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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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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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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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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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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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

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Hirst, T

Reference 32

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks A Machine Learning Approach to the Nirenberg Problem,

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine learning Calabi-Yau metrics

Reference 34

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Douglas, S

Reference 35

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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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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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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

This paper cites Harmonic $1$-forms on real loci of Calabi-Yau manifolds.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Harmonic $1$-forms on real loci of Calabi-Yau manifolds

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Observation 1eb86e0a-2441-419d-b0a4-dfe8f5017a7b · outbound

This paper cites Neural and numerical methods for G2-structures on contact Calabi-Yau 7-manifolds,.

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,

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Observation b23a0baf-db52-4d60-aec3-a2e220b40700 · outbound

This paper cites Machine Learning Gravity Compactifications on Negatively Curved Manifolds.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine Learning Gravity Compactifications on Negatively Curved Manifolds

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Observation 5f13bdf8-84b2-4261-b109-453bee639d5a · outbound

This paper cites Minimal surfaces, Knots, and Neural Networks.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Minimal surfaces, Knots, and Neural Networks

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Observation c2a9b78a-1914-49c9-b714-51b9064a8558 · outbound

This paper cites Black holes and the loss landscape in machine learning.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Black holes and the loss landscape in machine learning

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Observation 875206f0-0fa0-458b-a5fe-433fc533e111 · outbound

This paper cites Calculating Quasi-Normal Modes of Schwarzschild Black Holes with Physics Informed Neural Networks.

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

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Observation 7139d8a8-fd5c-4d6e-9896-e70c2de586ba · outbound

This paper cites Einstein Fields: A Neural Per- spective To Computational General Relativity,.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Einstein Fields: A Neural Per- spective To Computational General Relativity,

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Observation 9893daf0-84f9-4774-9951-6a36fdda343d · outbound

This paper cites Machine-Learning the Classification of Spacetimes.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine-Learning the Classification of Spacetimes

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Observation 1822685b-3302-4ccb-a661-678082568231 · outbound

This paper cites Learning holographic horizons.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Learning holographic horizons

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Observation 86c7cd3a-5e24-4587-bd34-d9a07269846e · outbound

This paper cites Machine learning automorphic forms for black holes.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Machine learning automorphic forms for black holes

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Observation 3ce20874-1a79-4b45-87c9-9a6c5efab928 · outbound

This paper cites Hashimoto, K.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Hashimoto, K

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Observation 6fb72091-e978-477c-8195-9028c6ed50e2 · outbound

This paper cites Minimising Willmore Energy via Neural Flow.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Minimising Willmore Energy via Neural Flow

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Observation d9823d99-8151-4ede-954b-22a3da594687 · outbound

This paper cites PINNs in More General Geometry.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks PINNs in More General Geometry

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Observation 58aa7340-0319-4cb5-b790-bf0819dd627e · outbound

This paper cites Penrose, Physical Review Letters10, 66 (1963).

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Penrose, Physical Review Letters10, 66 (1963)

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Observation e6f0adee-a9a3-443b-8d03-061e73c08ad5 · outbound

This paper cites The construction and application of penrose diagrams, with a focus on the maxi- mally analytically extended schwarzschild spacetime,.

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,

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Observation d64ae4ad-821c-4db3-9841-43c37a6ed353 · outbound

This paper cites Making use of geometrical invariants in black hole collisions.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Making use of geometrical invariants in black hole collisions

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Observation 0f3ebe3e-212b-46f7-93ee-b9529363f307 · outbound

This paper cites Stephani, D.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Stephani, D

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Observation 4cb56538-178f-4fe0-9071-2fd17c7e2f88 · outbound

This paper cites Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes.

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

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Observation e73b416c-8db0-470e-a0e4-4df6158dc946 · outbound

This paper cites Rosato, H.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Rosato, H

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Observation 0730f352-f09b-4df8-8d47-aae4659856b0 · outbound

This paper cites Zakhary and C.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Zakhary and C

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Observation debff3b0-0c72-4c47-a21e-750aaf13c128 · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Observation a9fbc90a-478c-45a9-ac54-6a673100266c · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Observation c8ed9046-5232-43af-b8e3-b2a5541c86f3 · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Observation d1251d51-4ed7-4cfc-a9c5-d312d944fe15 · outbound

This paper cites Israel, Physical Review164, 1776 (1967).

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Israel, Physical Review164, 1776 (1967)

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Observation 4f98988a-be51-425f-8bcd-93ca3f2c18c2 · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Penrose, Phys

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Observation 613f68aa-0d61-45f4-a50d-d7c4ab21c35e · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Observation 24842574-ff5e-4d0b-9807-875dce467c25 · outbound

This paper cites Isolated and dynamical horizons and their applications.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Isolated and dynamical horizons and their applications

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Observation 7b63d075-9b78-46b1-81db-59cb0d448b79 · outbound

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Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Unresolved cited work

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Observation 656db1b2-fde2-4923-977e-3fe5cbfa263f · outbound

This paper cites Quadrupolar gravitational fields described by the $q-$metric.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Quadrupolar gravitational fields described by the $q-$metric

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Observation 3a360433-c11f-4220-b62b-d1f4df87bcd3 · outbound

This paper cites Newman and R.

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks Newman and R

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