Can you match a Windows XP product key to a service pack release?

I have a Windows XP product key on my PC, but I'm not sure which release of Windows XP it belongs to SP1, SP2, or SP3.

Is there a way I can tell without trying each one?

Note:
In this case, I have an old PC which had an OEM XP Pro license. I don't have the media for it any more. However, I do have a media for XP Pro (off the shelf non-OEM).

The Product Key on the case doesn't want to validate. So I'm presuming that there is something encoded in it as to the release it works with. I can get media, I just don't want to try each one.