Crossword Genius

Personality often recorded on disc (8)

Ross

I believe the answer is:

identity

I'm a little stuck... Click here to teach me more about this clue!

This clue could be a double definition.

'personality' is the first definition.
(I know that identity is a type of personality)

'often recorded on disc' is the second definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

Can you help me to learn more?

(Other definitions for identity that I've seen before include "equation" , "One's sometimes mistaken" , "It's on the cards" , "character" , "Individuality providing recognition" .)

I've seen this clue in The Globe and Mail.
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