The part that matters: before anything else, check that the lot number on the certificate matches the vial in your hand — that traces back to your material and not to some other lot from some other date.
Batch versus lot is a semantic distinction that determines whether one certificate applies to ten vials or to one, and checking this distinction is worth a minute.
Put another way, the field you have least reason to trust is the one that looks most impressive, because appearance and accuracy are not correlated.
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.
My working rule is that a document without a lot number, a method section and a test date is marketing.
edited 3 May 2025 by b_delacroix — reworded for clarity after a comment