Is there a built-in way to use a git hash based on its .git/objects path?

Question

I'm interested in playing around with git cat-file in order to better understand Git's object model. One thing that's a bit of a nuisance in the Git Bash shell is copying a hash (especially as I'm not used to Git Bash's C&P shortcuts.)

Let's say I have a hash abc123... etc., stored like this:

ls .git/objects/ab/c123abc123abc123abc123abc123abc123abcd

I can use sed and such to extract the hash portion of the path:

ls .git/objects/ab/c123abc123abc123abc123abc123abc123abcd | sed -e 's|.git/objects/||' -e 's|/||'

But I still need to navigate to the hash and paste the sed command in and so on. It's not a major annoyance but for the time it takes me to do I might as well copy the hash manually.

The question: is there a Git built-in function which reads the path to the hash in .git/objects and outputs a useable hash? I.e.

Input:

.git/objects/ab/c123abc123abc123abc123abc123abc123abcd

Output:

abc123abc123abc123abc123abc123abc123abcd