CO-CO
Rather wrinkly & occasionally cantankerous member
Only your last sentence is bollocks..The central authority (I guess that is Thai Immigration) certified my address in order for me to obtain a yellow book to prove my address. Then I take that yellow book (which certifies my address) back to Immigration (who certified my address in the first instance) to prove my address. If I didn't have the yellow book to prove my address I could ask Thai Immigration to provide me a letter certifying my address. Does that make sense to you?
Certificates of residence are issued for specific purposes and for a limited duration.
A certificate of residence is a certificate issued as a requirement for eg vehicle purchases. It is not evidence of your address.
A Yellow book is a house registration document that evidences your address.
It's not complicated.