twelve weeks is 84 days and, on a weekly schedule, 12 stopper punctures out of one vial at 4 mg/mL. Set the chemical question aside for a moment, because the puncture count is the one with a convention attached: 84 days is 3 times the twenty-eight days conventionally allowed for a preserved multi-dose preparation once it has been entered. Chemically, 4 mg/mL is high enough that adsorption to the glass is a rounding error and low enough that it is not protecting you from anything. What 12 withdrawals do add is 12 opportunities to introduce air, 12 coring events on the same stopper, and a headspace that grows with every draw — none of which show up on a certificate and all of which are avoided by splitting into aliquots at reconstitution.
Answer first: the degradation pathways worth knowing are hydrolysis, deamidation, oxidation, aggregation and adsorption, and each has a different trigger and a different mitigation.
Deamidation converts asparagine or glutamine to the corresponding acid via a succinimide intermediate, adding one dalton. It is base-catalysed, accelerates above neutral pH and is the dominant aqueous pathway for many peptides.
Hydrolysis cleaves the backbone, most readily at aspartate-proline and aspartate-glycine sequences, and is acid-catalysed. In a dry solid it barely proceeds at all.
Cold, dry, dark, still. Those four words cover most of the mitigation.