[singlow]

Well, GitHub doesn't own he trademark for Git, only for GitHub. They have a mutual agreement with the Git project (Software Freedom Conservancy). The Git project guidelines seem to disallow this usage:

  For example, imagine a software project which is only tangentially
  related to Git. It might use Git as a side effect, or might just be
  "Git-like" in the sense of being a distributed system with chained
  hashes. Let's say as an example that it does backups. We'd prefer it
  not call itself GitBackups. We don't endorse it, and it's just using the
  name to imply association that isn't there. You can come up with similar
  hypotheticals: GitMail that stores mailing list archives in Git, or
  GitWiki that uses Git as a backing store.