Seafarer, the first thought I had was, "Well, if it's not a Martini, then it must be a Rossi!" I figured, however, that there was probably already a cocktail called a Rossi, and after a little research, it appears there is an obscure Italian "cocktail" called a Rossi.
So, considering that vodka came from Russia (I thought so, anyway), I submit that we call this drink a Russi
Actually, since it seems that most people care little about Vermouth, why don't we call it what I do: Vodka on the Rocks.
Silly me. We're not talking "on the rocks", are we? I guess that should be, Vodka, Shaken, not Stirred.