A useful certificate has five elements: the lot number, the analytical method, the reported result with units, the date of analysis, and the primary data or a reference to it.
The certificate is a snapshot and nothing else — it tells you about the material on one day from one sample of one lot, and extrapolation beyond that requires logic.
Stated carefully, writing the lot number on your vial in permanent marker is worth doing because it later proves that the certificate traces to your material.
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 practical summary: check the lot number, ask for the method, and reserve judgement until you have both.