I've never seen it before, so I do not think that has been ever used officially.

The classic logo is often on the can/bottle near the nutritional information: http://imgur.com/OHinuge (from a can of Diet Coke in the UK, taken today. The can was part of a large multi-pack case).

There's a little bit about the history of the logo here: http://www.coca-cola.co.uk/125/history-of-coca-cola-logo.htm...

The smallest responsive version of the logo says "coke", rather than "coca-cola", which I've not seen before. I couldn't see any use of "coke" by itself, when used for "diet coke" they use a different style: http://www.amodelrecommends.com/wp-content/uploads/2011/02/d...

I'm thinking it's something equivalent to http://www.dafont.com/loki-cola.font?text=1oke&psize=l manually kerned and tweaked.

Slightly surprised that the "Coke" text from the largest logo wasn't used as the smallest.

If you actually looked through the images page you will find that when the single word "Coke" is used (most notably on the Diet Coke can, but also on occasional promotional items) it's in a much more modern serifed font, rather than the script font used for the classic Coca Cola logo.

None of the results on that page or image results show Coke in the classic font.

You don't mean... Someone posted a lmgtfy link which was entirely unhelpful!

I'm shocked! Shocked!