Paper Citation Record · LEDGER

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2606.21573.

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

pith.paper-citation-record.v1
2606.21573 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:33:52.887784Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact2
verified fuzzy0
unresolved43
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 47ccd7df-7f79-4e25-a223-3f52ff1586bd · outbound

This paper cites World Scientific, 1993.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities World Scientific, 1993

Reference 1

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Observation bb835a9b-1501-4bba-996c-dbceecfceceb · outbound

This paper cites Non-monotone variational inequalities.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Non-monotone variational inequalities

Reference 2

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Observation 6234fff7-9137-465b-b9f7-a06d5ec087aa · outbound

This paper cites Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Existence of Solutions for Non-monotone Variational Inequalities and Implications for Games

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-14T02:20:21.031592Z

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Observation 3e0fd95a-b11b-45f1-aa9a-0268c4026b7e · outbound

This paper cites Springer-Verlag, Berlin, Heidelberg, 1984.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Springer-Verlag, Berlin, Heidelberg, 1984

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation f744ce7a-3e5c-4fbd-a357-d6334db9dad1 · outbound

This paper cites Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions.ESAIM: Control, Optimisation and Calculus of Variations, 4:361–376, 1999.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions.ESAIM: Control, Optimisation and Calculus of Variations, 4:361–376, 1999

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 484af49b-6f5d-49e1-bf72-4da3f69067d2 · outbound

This paper cites Athena Scientific, 2003.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Athena Scientific, 2003

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 5c750280-4dc2-43cb-88f1-54a1f4d6c0f0 · outbound

This paper cites Finite-time stability of continuous autonomous systems.SIAM Journal on Control and optimization, 38(3):751–766, 2000.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Finite-time stability of continuous autonomous systems.SIAM Journal on Control and optimization, 38(3):751–766, 2000

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation bf484672-c727-4d66-b60f-1962503b0591 · outbound

This paper cites Blanchini.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Blanchini

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 63cc5ff9-0740-454a-b4d8-b3659c968fc1 · outbound

This paper cites an unresolved cited work.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 27223918-effb-4ab2-b452-99dda6e1877a · outbound

This paper cites Saddle-point dynamics: conditions for asymptotic stability of saddle points.SIAM Journal on Control and Optimization, 55(1):486–511, 2017.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Saddle-point dynamics: conditions for asymptotic stability of saddle points.SIAM Journal on Control and Optimization, 55(1):486–511, 2017

Reference 10

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Observation 7a36426f-97fb-4d47-80f1-7ef1f634b648 · outbound

This paper cites Relations between optimization and gradient flow methods with applications to image registration.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Relations between optimization and gradient flow methods with applications to image registration

Reference 11

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Observation 13b40c31-048c-49b3-93e5-2cb2936cc138 · outbound

This paper cites SIAM, 1990.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities SIAM, 1990

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 33cad285-3049-48f3-8d26-8affcd8106ed · outbound

This paper cites Springer, 1998.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Springer, 1998

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation cdc7796b-ef59-4713-b505-5ec16dc0c278 · outbound

This paper cites Finite-time convergent gradient flows with applications to network consensus.Automatica, 42(11):1993–2000, 2006.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Finite-time convergent gradient flows with applications to network consensus.Automatica, 42(11):1993–2000, 2006

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation fcb555c9-0c76-4480-8210-4993932b817a · outbound

This paper cites Recent theoretical advances in non-convex optimization.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Recent theoretical advances in non-convex optimization

Reference 15

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Observation e147292f-debc-4752-a0e6-a61ec4fe991e · outbound

This paper cites Numerical solustions and conditioning of Lyapunov and Sylvester equation.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Numerical solustions and conditioning of Lyapunov and Sylvester equation

Reference 16

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Observation 5040af09-97b0-40ed-8acf-04ff545e3729 · outbound

This paper cites The proximal augmented lagrangian method for nonsmooth composite optimization.IEEE Transactions on Automatic Control, 64(7):2861–2868, 2018.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities The proximal augmented lagrangian method for nonsmooth composite optimization.IEEE Transactions on Automatic Control, 64(7):2861–2868, 2018

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 95c2e9ae-e94e-473f-9358-0abec257b142 · outbound

This paper cites On a class of smooth optimization algorithms with applications in control.IFAC Proceedings Volumes, 45(17):291–298, 2012.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities On a class of smooth optimization algorithms with applications in control.IFAC Proceedings Volumes, 45(17):291–298, 2012

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation df466f21-c97e-4b66-a120-c1df5e241422 · outbound

This paper cites Chapman and Hall/CRC, 2025.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Chapman and Hall/CRC, 2025

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 9a19124a-01d0-4594-9abe-faf2dc5c99b4 · outbound

This paper cites Springer, 2003.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Springer, 2003

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 7fde2e79-4127-4284-a3fa-7f723f443e15 · outbound

This paper cites Fixed-time stable proximal dynamical system for solving MVIPs.IEEE Transactions on Automatic Control, 68(8):5029–5036, 2022.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Fixed-time stable proximal dynamical system for solving MVIPs.IEEE Transactions on Automatic Control, 68(8):5029–5036, 2022

Reference 21

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Observation ba4ecd8a-991d-493f-9825-5add60e25b31 · outbound

This paper cites Fixed-time stable gradient flows: Applications to continuous-time optimization.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Fixed-time stable gradient flows: Applications to continuous-time optimization

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 6ad2f1a8-afc5-4725-9df5-bb381181e121 · outbound

This paper cites Springer Science & Business Media, 2012.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Springer Science & Business Media, 2012

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 385bdac0-1c22-4167-beff-e6d8d3e59b4e · outbound

This paper cites Prentice Hall Upper Saddle River, NJ, 3rd edition, 2002.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Prentice Hall Upper Saddle River, NJ, 3rd edition, 2002

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 53352c85-0268-4ae3-86ff-949cf5081545 · outbound

This paper cites SIAM, 2000.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities SIAM, 2000

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 240e8bf6-68a6-4889-80ef-43b45ac661b0 · outbound

This paper cites Mathematics in Science and Engineering, C.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Mathematics in Science and Engineering, C

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 5ad96a7d-6df3-4430-bc04-71332363808d · outbound

This paper cites The extragradient method for finding saddle points and other problems.Matecon, 12:747–756, 1976.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities The extragradient method for finding saddle points and other problems.Matecon, 12:747–756, 1976

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 3292a4fa-5908-41d6-b25e-5f5e5fb24eb0 · outbound

This paper cites Accelerated mirror descent in continuous and discrete time.Advances in neural information processing systems, 28, 2015.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Accelerated mirror descent in continuous and discrete time.Advances in neural information processing systems, 28, 2015

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 0d4ff6c6-611c-4265-b509-c9284aa5b235 · outbound

This paper cites Convex and non-convex optimization under generalized smoothness.Advances in Neural Information Processing Systems, 36:40238–40271, 2023.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Convex and non-convex optimization under generalized smoothness.Advances in Neural Information Processing Systems, 36:40238–40271, 2023

Reference 29

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Observation d7d497b2-9a3a-49fe-856b-224cb26baa1c · outbound

This paper cites Multiobjective distributed optimization via a predefined-time multiagent approach.IEEE Transactions on Automatic Control, 68(11):6998–7005, 2023.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Multiobjective distributed optimization via a predefined-time multiagent approach.IEEE Transactions on Automatic Control, 68(11):6998–7005, 2023

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 21fca241-d624-407d-88fc-551cbc0b18a7 · outbound

This paper cites Chapman and Hall/CRC, 2010.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Chapman and Hall/CRC, 2010

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 91a42943-f098-4299-bf29-a0404f499833 · outbound

This paper cites Nonsmooth Lyapunov stability of differential equations.Applied Mathemat- ical Sciences, 11(18):887–897, 2017.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Nonsmooth Lyapunov stability of differential equations.Applied Mathemat- ical Sciences, 11(18):887–897, 2017

Reference 32

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Observation c74d89a7-94d1-47e2-8c4e-2d0334899759 · outbound

This paper cites Sparse recovery via differential inclusions.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Sparse recovery via differential inclusions

Reference 33

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Observation 3964aab3-ca2d-4aef-907b-7a219deb3c0c · outbound

This paper cites Nonlinear feedback design for fixed-time stabilization of linear control systems.IEEE transactions on Automatic Control, 57(8):2106–2110, 2011.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Nonlinear feedback design for fixed-time stabilization of linear control systems.IEEE transactions on Automatic Control, 57(8):2106–2110, 2011

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Observation b03e8eb3-1f1d-4fc8-b814-b9dec47adacd · outbound

This paper cites Nonsmooth extremum seeking control with user-prescribed fixed-time convergence.IEEE Transactions on Automatic Control, 66(12):6156–6163, 2021.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Nonsmooth extremum seeking control with user-prescribed fixed-time convergence.IEEE Transactions on Automatic Control, 66(12):6156–6163, 2021

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Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 4ce16b5b-0050-49bd-b6ed-d045cb6ca4ca · outbound

This paper cites Fixed-time nash equilibrium seeking in time-varying networks.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Fixed-time nash equilibrium seeking in time-varying networks

Reference 36

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Observation 41466c2d-3aac-478f-b66c-90cebd8c09b6 · outbound

This paper cites Springer, 1998.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Springer, 1998

Reference 37

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Observation 37a9fd1b-6164-41f6-9d37-834bc0f02fc7 · outbound

This paper cites Encyclopedia of Mathematics and its Applications.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Encyclopedia of Mathematics and its Applications

Reference 38

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Observation 15614543-1b29-4d83-a85d-1db6c54b94ef · outbound

This paper cites A differential equation for modeling Nesterov’s accelerated gradient method: Theory and insights.Journal of Machine Learning Research, 17(153):1–43, 2016.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities A differential equation for modeling Nesterov’s accelerated gradient method: Theory and insights.Journal of Machine Learning Research, 17(153):1–43, 2016

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Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation a0862bc7-6524-4a11-90db-1af660dace85 · outbound

This paper cites Relaxed two-step inertial tseng’s extragradient method for nonmonotone variational inequalities.Journal of Optimization Theory and Applications, 205(1):7–27, 2025.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Relaxed two-step inertial tseng’s extragradient method for nonmonotone variational inequalities.Journal of Optimization Theory and Applications, 205(1):7–27, 2025

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Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 16b0b424-179b-4fff-8b7a-a0ede19122b8 · outbound

This paper cites Generalization of gronwall’s inequality and its applications in functional differential equations.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Generalization of gronwall’s inequality and its applications in functional differential equations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 29861fc3-1d40-4c48-8adf-e1bf248ff030 · outbound

This paper cites A variational perspective on accelerated methods in optimization.Proceedings of the National Academy of Sciences, 113(47):E7351–E7358, 2016.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities A variational perspective on accelerated methods in optimization.Proceedings of the National Academy of Sciences, 113(47):E7351–E7358, 2016

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Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation fdc59887-786a-435d-9e67-49a07c7771bc · outbound

This paper cites an unresolved cited work.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 2440c07b-ba2f-43d6-b877-15d39a307179 · outbound

This paper cites A general methodology for designing globally convergent optimization neural networks.IEEE Transactions on Neural Networks, 9(6):1331–1343, 1998.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities A general methodology for designing globally convergent optimization neural networks.IEEE Transactions on Neural Networks, 9(6):1331–1343, 1998

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Resolution: unresolved; no resolver link, observed 2026-06-26T13:33:52.887784Z

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Observation 61605748-018f-40bc-a679-9b64c02c4b37 · outbound

This paper cites Communication-Efficient Gradient Descent-Accent Methods for Distributed Variational Inequalities: Unified Analysis and Local Updates.

On Fixed-Time Stability of Continuous Dynamics for Non-Monotone Variational Inequalities Communication-Efficient Gradient Descent-Accent Methods for Distributed Variational Inequalities: Unified Analysis and Local Updates

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:19:38.105185Z

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