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Gramps Web is a web app for collaborative genealogy. It uses the Gramps Python library at its core to provide a REST API backend service leveraging the genealogical functions and database handling of Gramps. On top, it serves a modern, mobile-first web frontend.
More about Gramps Web can be found on its documentation website.
You can also now (2022) try Gramps Web. Since the project is in an early stage, remember to frequently generate backups when you use this on your genealogical data.