Accepted answer
What a useful certificate carries is debatable, but there are certain fields that almost no research-grade certificate includes despite their being standard in pharmaceutical work.
The field you have least reason to trust is the one that looks most impressive, because appearance and accuracy are not correlated.
What each test answers
| Test | Answers | Does NOT answer |
|---|
| RP-HPLC, area % | What fraction of detected material is the target | How much target is present |
| Quantified content | Milligrams of peptide per vial | What the impurities are |
| ESI-MS identity | Whether the molecular weight matches | Purity, or isomeric substitution |
| Peptide mapping | Sequence, localised to a fragment | Quantity |
| Karl Fischer | Water content of the solid | Solvent content |
| LAL endotoxin | Pyrogen load in EU/mg | Sterility |
| Sterility test | Growth in defined media over 14 days | Endotoxin, or bioburden count |
More usefully, the certificate is a snapshot and nothing else — it tells you about the material on one day from one sample of one lot, and extrapolation beyond that requires logic.
Industry guidance on this topic is consistent because it comes from first principles rather than convention.
The caveat is that a certificate is not a guarantee, it is a data point, and treating it as anything else is asking for disappointment.
The practical summary: check the lot number, ask for the method, and reserve judgement until you have both.