Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:31:58.354850Z
Paper Citation Record · LEDGER
GeoHNNs: Geometric Hamiltonian Neural Networks
As of 7 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2507.15678.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T17:24:16.084206Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-10T12:15:01.137692Z
Reference resolution
49 of 49 outbound references displayed
- verified exact0
- verified fuzzy33
- unresolved14
- parse uncertain1
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 72030081-e6fc-414f-be62-061fafe5e2c4 · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:59.345770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ca7b432c-10f7-402c-96d3-712dc8c40295 · outbound
This paper cites Autoencoders, 2021.
GeoHNNs: Geometric Hamiltonian Neural Networks Autoencoders, 2021
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.329612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f00ce623-6409-4b15-92ab-253e8b0b25b5 · outbound
This paper cites Battaglia, Jessica B.
GeoHNNs: Geometric Hamiltonian Neural Networks Battaglia, Jessica B
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:31:58.123131Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3175deaa-2f79-45be-a1c5-e82cc0f20c97 · outbound
This paper cites The proper orthogonal decomposition in the analysis of turbulent flows.
GeoHNNs: Geometric Hamiltonian Neural Networks The proper orthogonal decomposition in the analysis of turbulent flows
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.301239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e03c3110-5902-4239-a1ca-46045d93548f · outbound
This paper cites Symplectic model reduction of hamiltonian systems on nonlinear manifolds, 2021.
GeoHNNs: Geometric Hamiltonian Neural Networks Symplectic model reduction of hamiltonian systems on nonlinear manifolds, 2021
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.285486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0d3c6194-187b-4b2a-a5bb-6342e14ce6dd · outbound
This paper cites Model reduction on manifolds: A differential geometric framework, 2024.
GeoHNNs: Geometric Hamiltonian Neural Networks Model reduction on manifolds: A differential geometric framework, 2024
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.269765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 73263c95-1549-4f9b-b0ca-6afb438b1ac8 · outbound
This paper cites Riemannian adaptive optimization methods, 2019.
GeoHNNs: Geometric Hamiltonian Neural Networks Riemannian adaptive optimization methods, 2019
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.251403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fff7c4e6-3c3e-4815-abc3-146c177f72e7 · outbound
This paper cites Nathan Kutz, and Steven L.
GeoHNNs: Geometric Hamiltonian Neural Networks Nathan Kutz, and Steven L
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.235880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1c80a5e0-e591-4f85-9e96-73275408f2c8 · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:31:58.154648Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76248d11-882e-41fa-bd1e-5f78381e2780 · outbound
This paper cites Symplectic recurrent neural networks, 2020.
GeoHNNs: Geometric Hamiltonian Neural Networks Symplectic recurrent neural networks, 2020
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.202898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4e781361-d56f-4b13-82b7-f1353ef2ae3b · outbound
This paper cites Learning generalized hamiltonians using fully symplectic mappings, 2024.
GeoHNNs: Geometric Hamiltonian Neural Networks Learning generalized hamiltonians using fully symplectic mappings, 2024
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.185703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ed73bd3b-ad5c-4230-9a79-e9de89e914ed · outbound
This paper cites Lagrangian neural networks, 2020.
GeoHNNs: Geometric Hamiltonian Neural Networks Lagrangian neural networks, 2020
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:31:58.168592Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5666251-6ade-4a76-a6bf-adc12ee82aca · outbound
This paper cites Hamiltonian reduction using a convolutional auto-encoder coupled to an hamiltonian neural network, 2024.
GeoHNNs: Geometric Hamiltonian Neural Networks Hamiltonian reduction using a convolutional auto-encoder coupled to an hamiltonian neural network, 2024
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.157586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 849b2e61-2af2-4777-95cc-7573f66bc13a · outbound
This paper cites Geometries and Interpolations for Symmetric Positive Definite Matrices, pages 85–113.
GeoHNNs: Geometric Hamiltonian Neural Networks Geometries and Interpolations for Symmetric Positive Definite Matrices, pages 85–113
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.140765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 47e82f7a-6573-4433-be36-a323a22b0298 · outbound
This paper cites Simplifying hamiltonian and lagrangian neural networks via explicit constraints, 10 2020.
GeoHNNs: Geometric Hamiltonian Neural Networks Simplifying hamiltonian and lagrangian neural networks via explicit constraints, 10 2020
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.124886Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 31e79712-b3d4-4b62-a1f9-08cda7910208 · outbound
This paper cites Understanding Molecular Simulation: From Algorithms to Applications, volume 1 of Computational Science Series.
GeoHNNs: Geometric Hamiltonian Neural Networks Understanding Molecular Simulation: From Algorithms to Applications, volume 1 of Computational Science Series
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.108128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b8f3836b-a45c-4bae-8755-eb8ab0db48c7 · outbound
This paper cites A riemannian framework for learning reduced-order lagrangian dynamics, 2025.
GeoHNNs: Geometric Hamiltonian Neural Networks A riemannian framework for learning reduced-order lagrangian dynamics, 2025
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.089110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2ff96d4a-8ea9-4e88-a2e3-df1544707f05 · outbound
This paper cites Classical Mechanics.
GeoHNNs: Geometric Hamiltonian Neural Networks Classical Mechanics
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.071621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2da3fc35-0cb8-458f-bd75-86e20ba7ec89 · outbound
This paper cites Hamiltonian neural networks, 2019.
GeoHNNs: Geometric Hamiltonian Neural Networks Hamiltonian neural networks, 2019
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.053062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ff319126-6ed9-45ec-8d51-b4da43e3be0e · outbound
This paper cites Introduction to Tensor Analysis and the Calculus of Moving Surfaces.
GeoHNNs: Geometric Hamiltonian Neural Networks Introduction to Tensor Analysis and the Calculus of Moving Surfaces
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:59.036910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 204a9771-e845-4554-8d20-2d4190f74bed · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.882688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9b88aa2e-cec9-45b7-b22f-94e3a52645be · outbound
This paper cites Geoopt: Riemannian optimization in pytorch, 2020.
GeoHNNs: Geometric Hamiltonian Neural Networks Geoopt: Riemannian optimization in pytorch, 2020
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.866052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6dcadc48-9e6a-42c1-a3de-a1910c699a04 · outbound
This paper cites The variational principles of mechanics.
GeoHNNs: Geometric Hamiltonian Neural Networks The variational principles of mechanics
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.847373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 25633540-da5a-44a2-8be5-607d3bd78dfa · outbound
This paper cites Deep learning.
GeoHNNs: Geometric Hamiltonian Neural Networks Deep learning
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:31:58.228340Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d79ed4a8-da8d-4266-931c-38c64c1b4fdd · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.811456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f2d36f3a-33e2-4821-a2fc-3ad4d006c6f9 · outbound
This paper cites Riemannian geometry of symmetric positive definite matrices via cholesky decomposition.
GeoHNNs: Geometric Hamiltonian Neural Networks Riemannian geometry of symmetric positive definite matrices via cholesky decomposition
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.791855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bb2cf595-9e04-4f58-95ed-b909c36219da · outbound
This paper cites Liouville.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.776048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 78a42147-1d5e-41e4-acd9-ceaf2ac1e2e3 · outbound
This paper cites Decoupled weight decay regularization, 2019.
GeoHNNs: Geometric Hamiltonian Neural Networks Decoupled weight decay regularization, 2019
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:31:58.248385Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4dff1574-d6be-4bb5-8438-9147cd1ee5b8 · outbound
This paper cites Deep lagrangian networks: Using physics as model prior for deep learning, 2019.
GeoHNNs: Geometric Hamiltonian Neural Networks Deep lagrangian networks: Using physics as model prior for deep learning, 2019
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.744050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 95735960-afe3-4b0c-bf0d-366a50e5d6ec · outbound
This paper cites The need for biases in learning generalizations, 10 2002.
GeoHNNs: Geometric Hamiltonian Neural Networks The need for biases in learning generalizations, 10 2002
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.726769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6f8ff6a0-3f75-4d02-b70c-f923f163c054 · outbound
This paper cites A differential geometric approach to the geometric mean of symmetric positive-definite matrices.
GeoHNNs: Geometric Hamiltonian Neural Networks A differential geometric approach to the geometric mean of symmetric positive-definite matrices
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.711357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3fbb5b94-18a2-45b9-b347-8292de1eb43d · outbound
This paper cites Murray, S.
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.695688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 12ee1f44-9943-4a1d-a838-34262eb45bad · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.679674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7a7bd1fd-79df-4750-b994-2f52be36b30e · outbound
This paper cites Otto, Gregory R.
GeoHNNs: Geometric Hamiltonian Neural Networks Otto, Gregory R
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.663747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a72b2bcb-6296-48f7-9977-0a80722c34dd · outbound
This paper cites Symplectic model reduction of hamiltonian systems, 2015.
GeoHNNs: Geometric Hamiltonian Neural Networks Symplectic model reduction of hamiltonian systems, 2015
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.647270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bdf1e3ca-2191-4380-ac01-a7128f419f62 · outbound
This paper cites Springer, 01 2008.
GeoHNNs: Geometric Hamiltonian Neural Networks Springer, 01 2008
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.631977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4bfe7c91-2267-4915-8b7a-19915e756c7a · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.616461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a895cfe2-c1d8-4526-97d4-8809e7a72e77 · outbound
This paper cites Smith, and Carl T.
GeoHNNs: Geometric Hamiltonian Neural Networks Smith, and Carl T
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.601029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 666d8b36-324d-48b5-91ef-019ef1399307 · outbound
This paper cites Ordinary Differential Equations.
GeoHNNs: Geometric Hamiltonian Neural Networks Ordinary Differential Equations
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.584878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 68a9bc28-c4e3-4462-9aa0-2f0152853aba · outbound
This paper cites Generalized lagrangian neural networks, 2024.
GeoHNNs: Geometric Hamiltonian Neural Networks Generalized lagrangian neural networks, 2024
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.566435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 69469276-f8c1-47d1-9942-87c24b30011b · outbound
This paper cites manifolds.
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.548212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 84e8317e-654a-49e0-b954-8ba2b740a020 · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.529215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2fc58727-6851-4f96-97c8-23f811a51be3 · outbound
This paper cites The pair (U, φ) is called a coordinate chart or simply a chart.
GeoHNNs: Geometric Hamiltonian Neural Networks The pair (U, φ) is called a coordinate chart or simply a chart
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.512471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2641401e-cf9c-429d-84b0-60209657ad10 · outbound
This paper cites Definition A.4 (Smooth Manifold).
GeoHNNs: Geometric Hamiltonian Neural Networks Definition A.4 (Smooth Manifold)
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:31:58.494030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 908a0c89-81a9-49e5-b52b-0c563111b906 · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.475702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c1dd63aa-6da1-409b-8fa2-59d758a189bf · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.457406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b287fbc1-1d39-45e0-a679-927ae342b11e · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:31:58.439004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ed1a0dd4-2c04-4a06-9261-294987d184a6 · outbound
This paper cites an unresolved cited work.
GeoHNNs: Geometric Hamiltonian Neural Networks Unresolved cited work
Reference 49
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-06T15:31:58.420350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9f93b490-c182-43e6-938d-cec61f526dd5 · outbound
This paper cites Each proof is self-contained and follows from the assumptions and definitions introduced earlier.
GeoHNNs: Geometric Hamiltonian Neural Networks Each proof is self-contained and follows from the assumptions and definitions introduced earlier
Reference 50
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T15:31:58.403316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Pith citing papers
Observation acdee504-6697-45f2-ab04-7400fd354aec · inbound
Geometry-Induced Long-Range Correlations in Recurrent Neural Network Quantum States cites this paper.
Geometry-Induced Long-Range Correlations in Recurrent Neural Network Quantum States GeoHNNs: Geometric Hamiltonian Neural Networks
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T17:25:38.513730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.