Check the lot number first, not the purity
The single most important field on a certificate is the lot or batch identifier, and it is the field most often missing. A COA describes one specific production run. A certificate with no lot number, or with a lot number that does not appear anywhere on the vial you received, cannot be connected to your material — it documents *some* batch the supplier once produced, which is a different claim entirely.
The check is mechanical: read the code printed on the vial label, find the same code on the certificate, and confirm they match character for character. If a supplier publishes one certificate for a product rather than one per lot, that certificate is decorative. Products are made in batches, and batches vary; that variation is the entire reason the testing exists.
A supplier that publishes per-lot certificates can be audited by anyone holding a vial. A supplier that publishes a single product-level document cannot. Eppix publishes one page per tested lot, and a batch lookup that takes the code from the vial directly.