From the depths of the sea, back to the block
Snoop Doggy Dogg, funky as the, the, The D.O.C

from Snoop Dogg – Who Am I (What's My Name)? Lyrics on Rap Genius

Meaning

As Snoop pronounces it as ‘Doc’ and not by the initials (obviously to make the rhyme), some may be led to think he’s referring to Dr. Dre

But no! The D.O.C. was an N.W.A affiliate whose classic 1989 solo album No One Can Do It Better contained the song “Mind Blowin',”, the intro of which Snoop quotes here.

D.O.C.’s version of his name on “Mind Blowin'” — complete with stuttering “the”’s — was from a scratch of Kool Moe Dee’s “Go See the Doctor”

In an example of the snake swallowing its own tail, Jay Z would interpolate this line on his 1999 song “Jigga My Nigga”. So for those playing at home, that’s:

Kool Moe Dee —> The D.O.C. —> Snoop —> Jay Z

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