Reading a certificate means checking four things before anything else: traceability to your vial, the test date, the analytical method, and the identity of the testing laboratory.
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.
To be exact about it, 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.
The limitation is cost — truly rigorous testing on every lot is expensive enough that most people do not do it, which is exactly why the variation matters.
The practical summary: check the lot number, ask for the method, and reserve judgement until you have both.
edited 17 Nov 2024 by Dr_Jonas_Halvorsen — corrected a unit error in the worked example
3Minor: the trial name is hyphenated in the original publication. – assay_blank 4 months ago add a comment