Be honest, there will be a good chance your prospective employer will give a phone call to your previous employer's HR department to confirm your "payslip". Even if you say you graduated from xxx University, the employer has the right to call that University to make a confirmation.
It's not safe and not ethical.

It's quite simple actually, I'll scan that payslip, then email it to the HR department's Manager to ask if the payslip genuine. Does the company not have the right to question the authenticity of a document given?