Ice pick would be a shank, not a shiv. Where I'm from, Shanks are metal, Shivs are non-metallic.
http://www.urbandictionary.com/define.php?term=shank
http://www.urbandictionary.com/define.php?term=SHIV
If you want to use a shiv, start rubbing the handle of your toothbrush or a disposable razor on concrete pavement.
Do you really want to start the great shiv/shank debate?
Well, where I’m from, Mama taught us kids a little nursery rhyme.
A shiv is always your best friend
Cause shanks will fail you in the end.
You was probably hearing about Goldilocks and Jack And Jill when we was rumbling with raccoons and possums who was trying to shiv us.