Samsung usually reserves the SCH prefix for Verizon branded phones. And consider that the Verizon version of the Samsung Galaxy S III is the SCH-I535 while the Verizon Samsung Galaxy S4 is the SCH-I545. Certainly it would make sense for the SCH-I435 to be Big Red's variant of the Samsung Galaxy S4 mini. And under the heading of Geographical Availability, the certificate shows North America.
So while there is no guarantee, it would appear that after being last to launch the HTC One in the states, Verizon will be the first to release the Samsung Galaxy S4 mini.
The Bluetooth SIG hints that Verizon will be the first in the states to offer the Samsung Galaxy S4 mini
source: BluetoothSIG, BlogofMobile via AndroidAuthority