Yesterday several of us (roughly the top contributors [1] to Cockpit) discussed removing the '0.x' from the Cockpit version number.
The plan is from here on out to just go with integer versions, starting with version '118' following version '0.117'.
Cockpit releases weekly. Some versions of Linux distributions closely track that weekly release. Other choose particular releases to include, based on features and other criteria.
Cockpit now has a stable javascript API and file layout for components [2], as well as backwards compatible transport protocol. I hope to post more documentation about these guarantees soon.
Cheers,
Stef
[1] https://github.com/cockpit-project/cockpit/graphs/contributors?from=2016-01-...
[2] http://cockpit-project.org/guide/latest/development.html