Never heard of EduBrite, no idea what relationship they might have with VMware for VCP.
Pearson VUE administer VMware exams.
Each authorised training course has a Class ID on the VMware myLearn system.
Why do you need to know about all of those? What is the context?
Edubrite is the platform that hosts VMware's Customer Connect Learning portal. If you have registered for training via the VCCL portal, you might find your ID there. Pearson ID is only used when completing exams and is automatically associated with your myLearn profile when you login using SSO.