Use Checksum API to verify core integrity

This is a feature request.
Using the [Checksum API](http://api.wordpress.org/core/checksums/1.0/?version=3.7.1&locale=en_US) it would be nice to have a new core command to check WP integrity.
`check`
Usecase: detect compromised sites

What if `wp-admin/includes/update.php` got modified to maliciously change `get_core_checksums()` to return checksums to match any files which it also maliciously modified?