The checklist is shorter than you would expect, because most certificates fail at step one.
1. Two techniques, or one? HPLC and mass spec answer different questions. HPLC says "how much of this sample is one substance" — purity. MS says "and that substance is the one on the label" — identity. A certificate with only HPLC is telling you the vial contains 99% of something.
2. Whose name is on it? In-house means the seller tested themselves. Not worthless, but it is a self-assessment. An independent lab's letterhead is a different document.
3. Does it identify this batch? A batch or lot number that matches the vial in your hand. A certificate with no batch number, or one that does not match, is a certificate for a different substance.
4. Is it a picture of a document? A PDF that is a photograph of a printout has been through a step where anything could have happened.
5. Date. A certificate from two years ago describes a batch from two years ago.
Fail one, treat it as decoration.