Cloud mining. Up to 72 hours for processing.
Yes, actually it's exactly 72 hours after purchase (it seems to be an automated/scheduled process).
[...] or does it physically get shipped to my address?
The contract says you can redeem the miner when it's no longer profitable in cloud mining, but it will be used and you must pay for the shipping costs.
Seems only about 50$ per S4 to US for shipping.