Greeting Aspirant,

All caste certificate are valid only in the State of which the Certificate is. As you told you are SC from Uttar Pradesh, So you will be treated as SC in UP only and General in other States. However Caste certificate from any state are valid for Central Government Facilities.

For example, your SC is from UP, so you can get a Job from state government of UP stating that you are SC, but you cannot get a Job from any other state stating yourself as SC. But if you are applying a Central government Job, You will be regarded as SC no matter you are posted to which state.

The same logic applies for getting admission in school, Colleges, etc.

Hope My Answer Helped You.

Best of Luck For Your Future.