SQL*Loader REALLY unique sequences

I am developing a system which needs to append ASCII data into a table and generate a unique identifier for each new row. SQL*Loader has a SEQUENCE function which will generate unique sequence number, but the numbers will only be unique for a given SQL*Loader session, not for the destination table.

Can anybody offer a way to get SQL*Loader to give me a sequence number which is unique for the entire table?

Thanks in advance.

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Hugh Fader
Ford Research Laboratory
hugh_at_slee01.srl.ford.com