GitHub provides an enhanced commit page feature that allows users to identify the branches containing a specific commit, especially when it's not on the default branch. If the commit is part of an unmerged pull request, a link to the pull request is displayed. Once the commit is merged into the default branch, it shows any tags associated with the commit, and the default branch becomes the only listed branch. This feature offers users additional context about commits, improving their ability to track changes and understand the project's development history.