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.
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 caveat is that a certificate is not a guarantee, it is a data point, and treating it as anything else is asking for disappointment.
The practical summary: check the lot number, ask for the method, and reserve judgement until you have both.
edited 22 Aug 2026 by bac_or_bust — added the citation requested in comments