Isn't the current Doctor the 13th? Or they not going count the War Doctor?
Actually....technically....Capaldi is Doctor #14.
Doctor (Number of Regenerations) #1(0) Hartnell, #2(1) Troughton, #3(2) Pertwee, #4(3) Baker I, #5(4) Davison, #6(5) Baker II, #7(6) McCoy, #8(7) McGann, #9(8,) Hurt, #10(9) Eccleston, #11(10) Tennant, #12(11) Tennant 0.5, #13(12) Smith
John Hurt
does count as far as regenerations go. But he put off the name of the Doctor during that incarnation (so Eccleston is still considered Doctor #9). And Tennant's regeneration in "The Stolen Earth/Journey's End" still counts, even though the Doctor shunted off the regeneration energy into his hand.
All that to say that Capaldi is the 12th Doctor, even though he is in his 14th body.