I just wanted to mention something that has been bothering me slightly. People keep referring to this instance as "db0" because it's quicker to type, but, well, that's just the username I've been using for the past 20+ years 
Can I convince the m@tes to switch to calling it /0 for short if dbzer0 is too long for you?
Feel free to make any other suggestions here.
I'll never read /Foo as divide by foo haha. Too much time on the linuxes.
Unfortunately acronyms are a rather ingrained feature of English text communication, and db0 is how that falls out. Not sure you'll win this one.
Eh, was worth a shot
If you changed the name to singularity or something, or undefined? Referring to the results of the operations you might get somewhere?
I think people shorten it based on the domain name, so I doubt this would work.