Which makes me think perhaps that 5.0.0  is the most recent. It’d be great if the Eventide website showed this info. in a clear and easy-to-find way … But until then, I guess posting a question here will work!
I think 5.2.0 is the latest one. You can find it out and update your Space in the Direct Updater (bundled with H9 Control). After you update your Space to the latest 5.2.0, you will be able to use H9 Control to manage presets and control your Space.