Paper Citation Record · LEDGER

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics

As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2606.04447.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.04447 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T03:50:38.792407Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:28:15.662505Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 7ec40d49-d6aa-402b-8c32-554e527a0f14 · outbound

This paper cites Machine learning and the physical sciences.Reviews of Modern Physics, 91(4):045002, 2019.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Machine learning and the physical sciences.Reviews of Modern Physics, 91(4):045002, 2019

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 351b1749-35d3-4b77-a521-aefa9b7d57e9 · outbound

This paper cites Physics- informed neural networks (pinns) for fluid mechanics: A review.Acta Mechanica Sinica, 37(12):1727– 1738, 2021.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Physics- informed neural networks (pinns) for fluid mechanics: A review.Acta Mechanica Sinica, 37(12):1727– 1738, 2021

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 34a68277-156e-4ede-803e-1933893deb78 · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 05322682-446b-4c0b-8127-b284a5a50d85 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Fourier neural operator for parametric partial differential equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation b7552d05-3082-4e0f-aeb3-7d5e9855fd19 · outbound

This paper cites an unresolved cited work.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 4a7b8c11-c508-4853-bf65-e09d25e2852e · outbound

This paper cites Scientific machine learning benchmarks.Nature Reviews Physics, 4(6):413–420, 2022.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Scientific machine learning benchmarks.Nature Reviews Physics, 4(6):413–420, 2022

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation a2557762-ab8a-4b06-860b-bc3e5b7e25bb · outbound

This paper cites Universal differential equations for scientific machine learning.CoRR, 2020.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Universal differential equations for scientific machine learning.CoRR, 2020

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation b29bd5f3-b68f-4db2-9031-4fecf89ece4d · outbound

This paper cites Neural ordinary differ- ential equations.Advances in neural information processing systems, 31, 2018.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Neural ordinary differ- ential equations.Advances in neural information processing systems, 31, 2018

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 601f2666-3426-4b9e-a193-e1961d79fc06 · outbound

This paper cites Neural ode control for classification, approximation, and transport.SIAM Review, 65(3):735–773, 2023.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Neural ode control for classification, approximation, and transport.SIAM Review, 65(3):735–773, 2023

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 8b87647f-09c6-4798-90e1-34b02f5a2427 · outbound

This paper cites Hamiltonian systems and transformation in hilbert space.Proceedings of the National Academy of Sciences, 17(5):315–318, 1931.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Hamiltonian systems and transformation in hilbert space.Proceedings of the National Academy of Sciences, 17(5):315–318, 1931

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation cf2a3d91-e9dc-4134-8a9f-e2eee891a492 · outbound

This paper cites Marsden.Foundations of Mechanics.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Marsden.Foundations of Mechanics

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation dcac6d69-62bb-4bf9-9ddc-bf35c546283b · outbound

This paper cites Springer Science & Business Media, 2013.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Springer Science & Business Media, 2013

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 1ccc231a-9bcb-4a24-833c-6c12cb858a24 · outbound

This paper cites Pearson Education India, 2011.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Pearson Education India, 2011

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 30099f1b-09b9-46ed-a0d6-7f1d932f48e6 · outbound

This paper cites Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical hamiltonian systems.Physica D: Nonlinear Phenomena, 431:133122, 2022.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical hamiltonian systems.Physica D: Nonlinear Phenomena, 431:133122, 2022

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation b29a47c5-1efa-486f-955c-e437b9f6df00 · outbound

This paper cites Symplectic integrators: An introduction.American Journal of Physics, 73(10):938–945, 2005.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Symplectic integrators: An introduction.American Journal of Physics, 73(10):938–945, 2005

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 7395d034-9711-4d84-9158-527c1fb6cc83 · outbound

This paper cites Number 14.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Number 14

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 9c2c00e5-79ba-4f35-89ed-547679e55ad7 · outbound

This paper cites Structure-preserving algorithms for ordinary differential equations.Geometric numerical integration, 31, 2006.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Structure-preserving algorithms for ordinary differential equations.Geometric numerical integration, 31, 2006

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 945c7167-eda5-438c-9656-39f33c7557da · outbound

This paper cites The symplectic methods for the computation of hamiltonian equations.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics The symplectic methods for the computation of hamiltonian equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation aef9ecad-2754-4c98-b1c2-60ed0543e59b · outbound

This paper cites A new look at finite elements in time: a variational interpretation of runge-kutta methods.Applied Numerical Mathematics, 25(4):355–368, 1997.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics A new look at finite elements in time: a variational interpretation of runge-kutta methods.Applied Numerical Mathematics, 25(4):355–368, 1997

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation d330f3e3-fa3e-4b49-ad24-ac1b7e71b674 · outbound

This paper cites Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation da0ef99a-852e-4b30-99e6-068003b3a19f · outbound

This paper cites Hamiltonian neural networks for solving equations of motion.Physical Review E, 105(6):065305, 2022.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Hamiltonian neural networks for solving equations of motion.Physical Review E, 105(6):065305, 2022

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 7b18a6f0-5326-4d0d-9a62-cc5f755c8395 · outbound

This paper cites an unresolved cited work.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 7cfd7092-676e-4272-a8d8-fc7492937e79 · outbound

This paper cites Port- hamiltonian neural networks for learning explicit time-dependent dynamical systems.Physical Review E, 104(3):034312, 2021.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Port- hamiltonian neural networks for learning explicit time-dependent dynamical systems.Physical Review E, 104(3):034312, 2021

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation b5dcaa19-12e7-4aae-bcdf-5f06be5f52af · outbound

This paper cites Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flows.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flows

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:26:54.528766Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1ef5771-1d7c-434a-971c-25320f196bb2 · outbound

This paper cites Springer, 2003.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Springer, 2003

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 7d45df33-663b-419b-85aa-057c6f705894 · outbound

This paper cites Addison-wesley Reading, MA, 1950.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Addison-wesley Reading, MA, 1950

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 2c81a8de-9489-4045-9835-f66cf78ed051 · outbound

This paper cites Cambridge University Press, 2020.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Cambridge University Press, 2020

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 4f9b26aa-53e2-418d-b42a-161aa9330e6a · outbound

This paper cites John Wiley & Sons, 2016.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics John Wiley & Sons, 2016

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 6865a8c9-1ed2-4ae8-aebf-2e6520fc3fac · outbound

This paper cites Springer, 1998.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Springer, 1998

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 4ac0023f-bf64-4275-8647-4c08e69e7caa · outbound

This paper cites A survey of transfer learning.Journal of Big data, 3(1):9, 2016.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics A survey of transfer learning.Journal of Big data, 3(1):9, 2016

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 61575e61-5e8a-4d6f-9746-b538ff18d09d · outbound

This paper cites Transfer learning.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Transfer learning

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 8af25f67-cdee-4df2-9e5f-ce0544e5421a · outbound

This paper cites A comprehensive survey on transfer learning.Proceedings of the IEEE, 109(1):43–76, 2020.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics A comprehensive survey on transfer learning.Proceedings of the IEEE, 109(1):43–76, 2020

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 6011175b-7ef4-4ddc-91fa-34b74f220b6d · outbound

This paper cites Anharmonic oscillator.Physical Review, 184(5):1231, 1969.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Anharmonic oscillator.Physical Review, 184(5):1231, 1969

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 28f4d78b-c12a-4f4b-a0b9-e58120b596c0 · outbound

This paper cites An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems.Journal of Computational Physics, 493:112450, 2023.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems.Journal of Computational Physics, 493:112450, 2023

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation b373adeb-b2c1-40d2-b451-fc65d66f596e · outbound

This paper cites Springer, 2016.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Springer, 2016

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 6d4938ef-407f-42d3-981b-bf178af06f05 · outbound

This paper cites Using machine learning to predict extreme events in complex systems.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Using machine learning to predict extreme events in complex systems

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 21f9afa1-db63-4ea7-a997-d948da4ac92e · outbound

This paper cites A stochastic precipitating quasi- geostrophic model.Physics of Fluids, 36(11), 2024.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics A stochastic precipitating quasi- geostrophic model.Physics of Fluids, 36(11), 2024

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 624b8472-c275-493f-9e8b-944b2f05971c · outbound

This paper cites an unresolved cited work.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation f31f27da-1a28-407e-8a65-8044c73f0d5b · outbound

This paper cites Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics.Journal of Nonlinear Science, 31(2):38, 2021.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics.Journal of Nonlinear Science, 31(2):38, 2021

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-28T03:50:38.792407Z

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Observation 63b1ddcd-b0c9-47d3-86e8-506f91f6e7b3 · outbound

This paper cites PAS-Net: Physics-informed adaptive scale deep operator network.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics PAS-Net: Physics-informed adaptive scale deep operator network

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:26:54.532856Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 546392b8-9e36-4eca-afbf-3b87934bd2c9 · outbound

This paper cites Pip2 net: Physics-informed partition penalty deep operator network.arXiv preprint arXiv:2512.15086, 2025.

ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics Pip2 net: Physics-informed partition penalty deep operator network.arXiv preprint arXiv:2512.15086, 2025

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:26:54.535235Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 6896ff5b-2166-4411-84f8-e0ee009f2b53 · inbound

Dynamical and Optimization Trade-offs of Levi--Civita Coordinates for Learned Close-Encounter Dynamics cites this paper.

Dynamical and Optimization Trade-offs of Levi--Civita Coordinates for Learned Close-Encounter Dynamics ATLAS-NN: Adaptive Transfer Learnable Symplectic-aware Neural Network for Long-Time Hamiltonian Dynamics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:28:15.662505Z

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