Specifically, ask whether the certificate answers the question you are actually asking, because the answer is often no.
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 part that matters: multiple testing on the same lot reported in a single document suggests internal quality control; identical figures across different lots suggests the same certificate reused.
Published inter-laboratory comparisons of the same material routinely find spreads of half a per cent to a full per cent, which sets realistic expectations.
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.
edited 4 Jul 2024 by tobias_maartens — tightened the wording; no substantive change