three weeks is 21 days, and at 40 °C the ten-degree rule of thumb makes that roughly 238 refrigerated days of equivalent exposure. 40 °C is 35 kelvin above the 5 °C middle of a 2–8 °C refrigerator. The ten-degree rule of thumb — degradation rate roughly doubling per 10 K — makes that about 11 times the refrigerated rate, which is an order-of-magnitude statement and not a shelf life. 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. 238 equivalent days is past the point where the original figure is evidence about the current vial, so the honest answer is that you no longer have a certificate for what you are holding. If you do re-test, send it for content as well as purity; the 21 days will have moved one of them further than the other.
The underlying point is that sampling plans exist precisely because testing everything is expensive, and they define the statistical relationship between sample size and lot-wide inference.
The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
On the detail: stratified sampling — testing one vial from the top, one from the middle, and one from the bottom of a shipment — is cheap insurance against segregation.
Sampling plans for pharmaceutical manufacturing are defined in ISO 2859 and ANSI Z1.4, and they are based on statistical sampling theory.
Worth noting that thermal excursions during shipping affect different vials differently, so the lot may not be homogeneous even if it left the factory that way.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 5 Dec 2025 by jonas_ekstrom — added the placebo-arm figures
6I would gently push back on the second point — inter-laboratory spread is wider than stated. – amara_nwachukwu 19 days ago add a comment