On one of OJ's Trumpet Pages, there's the list of horn/players combinations (http://abel.hive.no/trumpet/playerhorn/). It says Bix used, among others, a "Holton deep cup #27" mouthpiece.
When by mid-1928 the Whiteman band started advertising for Holton, Bix got a Holton-Clarke cornet. From the Holton ad portrait (also shown in slightly more detail in Evans/Evans p.363 and Lion p.185), it looks to me as if he's got a Holton-made Heim model mouthpiece: a cup with a bowl-shaped contour and very pronounced rim, rounded on the outside - unlike the usual funnel-shaped Holton (which can be seen in the Holton ad in Evans/Evans p.365).
I believe the Holton mouthpiece was mentioned somewhere by Hoagy Carmichael, but I'm not sure. Was it? Does anyone know where the detail "deep cup #27" came from?