eight weeks is 56 days. minus 80 °C is 85 kelvin below a refrigerator, and below the glass transition of a lyophilised cake the ten-degree rule of thumb stops applying at all — solid-state chemistry is not slow liquid chemistry, it is a different regime, and the failure modes that survive it are mechanical rather than chemical. Compare that against what the certificate covers, which is the material as it left the laboratory on the date of analysis and nothing after it. That is short enough that a re-test is a stability study rather than a safety check — worth doing if you will publish the result, hard to justify if you will only reassure yourself. If you do re-test, send it for content as well as purity; the 56 days will have moved one of them further than the other.
In practice, 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.
The sample size determination requires choosing a confidence level and an acceptable error rate, and the smaller the error rate you want, the larger your sample must be.
The underlying point is that the statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
Published data on lot homogeneity from manufacturers who sample multiple vials consistently find variation below the published specifications, suggesting the sampling plans work.
Assume segregation is possible, and design your sampling to catch it if it exists.
edited 22 Jul 2026 by Dr_Bram_Verhoeven — added the citation requested in comments