New Yorker bought cured meat item when reduced (9)

'new yorker' is the definition.
Both the answer and definition are singular nouns.
Perhaps there's a link between them I don't understand?

'bought cured meat item when reduced' is the wordplay.
'bought' becomes 'got' (I've seen this in another clue).
'cured meat' becomes 'ham' (I've seen this before).
'item' becomes 'it' (I've seen this in other clues).
'when reduced' becomes 'e' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'got'+'ham'+'it'+'e'='GOTHAMITE'

Can you help me to learn more?