The relevant detail is that the most common trap is reading a certificate as if it were a guarantee when it is actually a single point estimate from a single test.
The field you have least reason to trust is the one that looks most impressive, because appearance and accuracy are not correlated.
Mechanically, lot number visibility is the first check, and it is the one most certificates fail — the number is not printed on the vial, or it is on the certificate but the vial is unmarked.
The standards that exist in this space — ICH Q3A, Q3B and various pharmacopoeial chapters — are worth reading once even if nothing you test is obliged to meet them.
If the certificate does not trace to your vial, it is not evidence about your vial.