Christian Schramm has produced an article of potential interest to students of the Pastorals:

Schramm, Christian. “Der ‘Mantel des Paulus’ (2 Tim 4,13): vergessen, zurückgelassen, deponiert? Eine Notiz mit Autorisierungspotenzial.” Biblische Zeitschrift 65.1 (2021): 86‒110.­­­

Abstract: “The short demand to bring Paul’s coat in 2 Timothy 4:13 has been a part of exegetical discussion for a long time. Especially the intention, the text pragmatics and the meaning of this verse are a matter of academic dispute. The point is: The interpretation of this verse has an important impact on the question of the authentic or pseudepigraphic character of 2 Tim. The following article focusses on an aspect that hasn’t been looked at much so far: the legal business of depositum as a possible historical backdrop. A third person’s (i.e. Timothy’s) mandate to pick up something deposited tells us much about his legitimacy as an authorized representative of the person who made the depositum (i.e. Paul). And possibly we also learn something about 2 Tim: 2 Tim as a letter could function as an authorizing document for the person sent out to pick up the coat – then 2 Tim 4:13 would work as a kind of certificate of authenticity of 2 Tim as an allegedly original Pauline letter.”