Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:22:49.746073Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 3 inbound Pith citation observations for arXiv:2507.16871.
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 2026-08-06T15:22:49.746073Z
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 2026-08-03T15:35:34.768728Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T02:37:34.209654Z
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7918aa4f-9e51-4c90-870f-d24b20405b2a · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Expressivity of deep neural networks,
Reference 1
Source-reported events for the cited work
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Observation 3a2cb708-2d51-49ca-a577-48c9956e87f7 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks The paint group Tits Satake theory of hyperbolic symmetric spaces: the distance function, paint invariants and discrete subgroups
Reference 2
Source-reported events for the cited work
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Observation dd8be17f-6152-4b88-97ea-718131a7e307 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Helgason, Differential geometry and symmetric spaces
Reference 3
Source-reported events for the cited work
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Observation a92afd21-b2fe-452c-9136-c4602df75a86 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Die Zusammensetzung der stetigen endlichen Transformationsgruppen,
Reference 4
Source-reported events for the cited work
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Observation def79bb0-fdec-4bb1-b555-1120bce222f4 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks ¨Uber die einfachen Transformationsgruppen,
Reference 5
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Observation 4ab7a418-7e5f-4448-8155-5b91723aca24 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 6
Source-reported events for the cited work
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Observation c092bfa9-75aa-470a-92be-c76c226b721e · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Lectures on special K¨ ahler geometry and electric - magnetic duality rotations,
Reference 7
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Classification of quaternionic spaces with a transitive solvable group of motions,
Reference 8
Source-reported events for the cited work
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Observation b19ce848-1471-4701-b79a-836a87ff604b · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Alekseevskian spaces,
Reference 9
Source-reported events for the cited work
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Observation 9d648c11-b50b-4e7a-a610-a678dfdf5a32 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Polyvector superPoincar´ e algebras,
Reference 10
Source-reported events for the cited work
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Observation 33322580-522a-401f-9f70-3ba39c535fc4 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Cartan Networks: Group theoretical Hyperbolic Deep Learning
Reference 11
Source-reported events for the cited work
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Observation d5e1564b-d711-4a30-963e-109ba48d71de · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Poincar´ e Embeddings for Learning Hierarchical Representations,
Reference 12
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Observation d0254cdb-6354-4e3e-a97d-6fada20a0268 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic Neural Networks,
Reference 13
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Observation 4f3a696b-1496-47bc-b5e6-5a7767c6f124 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Poincar´ e maps for analyzing complex hierarchies in single-cell data,
Reference 14
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic Deep Neural Networks: A Survey,
Reference 15
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Fully Hyperbolic Convolutional Neural Networks for Computer Vision,
Reference 16
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Observation 2f7b7111-aae7-4160-8779-38d7a4e69651 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic neural networks++,
Reference 17
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Fully hyperbolic neural networks,
Reference 18
Source-reported events for the cited work
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Observation 322438e0-005b-44da-b80c-ae774ed7de8b · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 19
Source-reported events for the cited work
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Observation aecf1402-ff30-4e19-b6e8-d3e4957f0fe3 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic Convolutional Neural Networks
Reference 20
Source-reported events for the cited work
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Observation 0ed7c396-d472-400b-84b6-e1b306e79af7 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks On the Universal Statistical Consistency of Expansive Hyperbolic Deep Convolutional Neural Networks
Reference 21
Source-reported events for the cited work
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Observation e6d3e08b-4017-423e-adf3-7703969dad27 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic Graph Convolutional Neural Networks,
Reference 22
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Observation c5f7218f-b787-437e-b00b-ff6ae06f22a9 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Hyperbolic attention networks,
Reference 23
Source-reported events for the cited work
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Observation 20f1d5bf-4c52-46c7-a66b-d80474b6bb57 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Castellani, R
Reference 24
Source-reported events for the cited work
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Observation f934f831-727a-4391-aebd-e115e61c44ad · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Gilmore, Lie groups, Lie algebras, and some of their applications
Reference 25
Source-reported events for the cited work
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Observation c7724dee-cc73-40e5-ac68-8d29f8f0b128 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 26
Source-reported events for the cited work
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Observation a5b3ff65-2246-46e4-b964-d358d60aff43 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks A logical calculus of the ideas immanent in nervous activity,
Reference 27
Source-reported events for the cited work
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Observation abb11831-2694-4e95-9493-e256e41e35f1 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks The perceptron: A probabilistic model for information storage and organization in the brain,
Reference 28
Source-reported events for the cited work
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Observation 79ae0965-fbb9-4da5-b7e4-1558e36b921c · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Approximation by superpositions of a sigmoidal function,
Reference 29
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Observation dd41aa4d-85f7-4bab-9bc3-262d28b4abba · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Approximation by ridge functions and neural networks with one hidden layer,
Reference 30
Source-reported events for the cited work
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Observation e7aa4e5f-3699-4357-8cb0-1ea1bf67f2bb · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks On the approximate realization of continuous mappings by neural networks,
Reference 31
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Observation 8e3a6ca1-2658-4fd0-a17a-1b71cce989d0 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Approximation capabilities of multilayer feedforward networks,
Reference 32
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Observation ccd471fb-9813-41e8-8ea2-c04b27b0b230 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Construction of neural nets using the radon transform,
Reference 33
Source-reported events for the cited work
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Observation fb1b83e7-cb3a-471a-8254-89cdf245fe64 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Multilayer feedforward networks with a nonpolynomial activation function can approximate any function,
Reference 34
Source-reported events for the cited work
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Observation f867586a-3013-4a11-8aca-08789b6dfa4a · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Semisimple Lie Algebras,
Reference 35
Source-reported events for the cited work
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Observation ccae8c4f-a756-457e-ba7e-a5606a9f7a0c · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 36
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes,
Reference 37
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Black Hole Nilpotent Orbits and Tits Satake Universality Classes
Reference 38
Source-reported events for the cited work
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Observation cf38e8d3-3854-4610-a0e4-e85aa1e874a7 · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 39
Source-reported events for the cited work
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Observation 92f96459-e862-4d01-a06c-8f3196ccdaec · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Tessellation Groups, Harmonic Analysis on Hyperbolic U /H manifolds and the Heat Kernel in view of Cartan Convolutional Neural Networks,
Reference 40
Source-reported events for the cited work
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Observation 150712db-1372-4623-b497-15735736321d · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Cosmic billiards with painted walls in non-maximal supergravities: a worked out example,
Reference 41
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Tits–Satake projections of homogeneous special geometries,
Reference 42
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Observation aac46a08-cadf-4a9b-bf0f-189ab4188f8e · outbound
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 43
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Cosmological backgrounds of superstring theory and solvable algebras: Oxidation and branes,
Reference 44
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Integrability of supergravity billiards and the generalized Toda lattice equation,
Reference 45
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks The Weyl group and asymptotics: All supergravity billiards have a closed form general integral,
Reference 46
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Training Stochastic Model Recognition Algorithms as Networks can Lead to Maximum Mutual Infor- mation Estimation of Parameters,
Reference 47
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Bishop, Pattern Recognition and Machine Learning
Reference 48
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 49
Source-reported events for the cited work
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Observation ed5efc2d-ce66-47ec-a389-72c76fdad3d4 · outbound
Reference 50
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Unresolved cited work
Reference 51
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Contact Geometry, Measurement and Thermodynamics,
Reference 52
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Fano, Metodi Matematici della Meccanica Quantistica
Reference 53
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Gradient-based learning applied to document recognition,
Reference 54
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks R-R scalars, U-duality and solvable Lie algebras,
Reference 55
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Solvable Lie algebras in type IIA, type IIB and M-theories,
Reference 56
Source-reported events for the cited work
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Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks Trigiante, Dualities in supergravity and solvable Lie algebras
Reference 57
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Source-reported events for the cited work
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The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous magnetizations Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks
Reference 20
Source-reported events for the cited work
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General Properties of the Thermo-Metric for CV event manifolds and the magnetization combinatorial scheme Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks
Reference 2026
Source-reported events for the cited work
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