To be exact about it, thermal history during shipping is different for every vial, so a lot that experienced thermal abuse may have internal variation even if it was originally homogeneous.
Testing a vial that has been open in the lab for three months is testing aged material, not the fresh lot, and the result should be explicitly noted as a retest.
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 Mar 2025 by Dr_Yusuf_Adeyemi — fixed an arithmetic slip in the third paragraph