Accepted answer
Worth being precise here: 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.
The laboratory name and accreditation status can be checked in real time against the testing service's own register, and that two-minute check catches substituted certificates.
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.
Research-grade certificates carry no regulatory backing and no standing in quality systems, and that limitation is worth being explicit about.
Be careful not to over-read this — a certificate that is imperfect is not worthless, it is just a starting point for thought rather than an endpoint.
The practical summary: check the lot number, ask for the method, and reserve judgement until you have both.