Hosty is a tiny PHP application to host images (and text, if you want to) on your own webserver. It's meant to be as small as possible and hence offers only the following:

Users configured in the config file can upload images. Optionally, they can also paste code (à la pastebin) with simple syntax highlighting.
Each image/paste gets a randomized URL. Everyone who has the URL can access the content.
Content can be deleted by logged-in users.

That's it. There is no admin UI, no commenting, no tagging, no folders, no social media crap or other external resources.