The single most misleading statement on a research-grade certificate is a lot number with no statement of how many vials from that lot were tested.
If the lot was manufactured in multiple batches, testing vials from each batch separately establishes whether batch-to-batch variation is acceptable.
Concretely, a statement that "lot 20260412 complies with specifications" is meaningless without stating which vials from the lot were tested and how many there were.
Sampling plans for pharmaceutical manufacturing are defined in ISO 2859 and ANSI Z1.4, and they are based on statistical sampling theory.
If testing multiple vials, state how many you tested and why you chose those vials.