New passport, do I need a new redress number?

I’ve just renewed my passport and have applied for and got a new ESTA. I’ve had a redress number for a year or two and am not sure whether I need to renew that.
Does the redress number link to my (old) passport so that I need to do something about it, or does it link to me irrespective of passport number?
I’ve searched online, can’t find anything but I’m sure someone here will know.
Does the redress number link to my (old) passport so that I need to do something about it, or does it link to me irrespective of passport number?
I’ve searched online, can’t find anything but I’m sure someone here will know.