I just dug out my The HALF CENT Die State Book 1793-1857 by Ronald Manley and sat down to ID the Cohen numbers on my Braided Hair business strike half cents (1849-1857). After checking each coin out (I don't have an 1852) I found them ALL to be Cohen-1. Why? Because that's the ONLY variety for each coin
Pretty much until you get into proofs and restrikes, then it gets a little more complicated. Here's a challenge for you. I've noted this one previously, so no cheating.
OUCH!!! Since my reference doesn't address the original/restrike differences I have to go by some other references. According to the Red Book it is likely a restrike. Breen's book still keeps it as a restrike but your image isn't good enough for me to ID which of the 3 varieties.
Very good, a first restrike, die state A. The most obvious characteristic according to Breen is the doubling of the ribbon and the cenT. You can see this feature in my images if you try really hard. The die state A reference is the usual obverse rust spots noted near the stars just behind the braid. State A does not show these rust spots, state B shows the spots mostly polished off, and state C shows some convex fields on the reverse; the result of die repairs.
How'd this end up in World Coins? LOL That's OK. I certainly don't mind looking at proof half cent eyecandy. I'm rather fond of 19th century odd-denomination proofs, in the US stuff. And one could argue quite correctly that US coins are World coins, after all. So party on! Unfortunately I can't contribute anything intelligent to a discussion about specialist varieties, be they Cohen, Sheldon, Newcomb, Fivaz-Stanton, Overton, or RIC numbers that are being bandied about. Party on, specialists. I will likely never be one of you, but I respect you.
