When you delete the core of a damaged ship it asks to reboot after you've confirmed you want to destroy the core, leaving you with a temporary ghost ship (it will destroy itself after a few seconds) as well as an empty ship stats dialog if you enter build mode afterwards, even in another ship.
Steps to reproduce:
1. Spawn a core
2. Enter build mode and place a warhead (I did it a few blocks away from the core)
3. Detonate the warhead
4. Delete the core from within build mode