If you look at the documentation that Swiss have sent you you'll find a 13 digit number beginning (if memory serves) 085.
085 was Swissair. Swiss (Crossair) is 724.
The Warsaw/Montreal Convention (MC99) require all passengers to have a ‘ticket and baggage check’. Tickets with more than four coupons will have more than one ticket number, and are known as conjunction tickets. However legally all conjunction tickets collectively are considered a single ticket.
You can always try a go-show. Show up at the airport and ask them if they will take you on the earlier fight on the day.
A 55 minute connection at ZRH is plenty of time. I’ve done it in 15 (I had to run) when my inbound flight delayed 30 mins.
Enjoy the cows!