A certificate that reports one test result on one vial extrapolates to claim that all two hundred vials in the lot are identical, which is an assumption worth questioning.
If you have reason to suspect inhomogeneity — different appearance in different vials, or a long or warm shipment — testing more vials is the diagnostic move.
For a quantitative result like content, the acceptable range determines how many vials you need to test to establish the lot complies.
Lyophilised peptide homogeneity studies show that vial-to-vial variation is usually small but occasionally large, depending on the distribution in the freeze-dryer.
The limitation is that you cannot know for certain without testing every vial, and you almost never can afford to do that.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 25 Oct 2024 by ines_brandt — added the method parameters