Upvote:1
No, the receipt is not a valid travel document. You must wait for a new plastic anti-counterfeit residence permit card to travel to other countries, or use the rest of the 90 Schengen days. In the latter case, make sure you have an entry stamp on your passport.
The receipt can be used only to enter Italy from Ukraine, not to travel to other Schengen countries.
I said about the entry stamp because you won't get a stamp by entering Italy with the residence permit, but the gate agent at the airport will thoroughly check your passport for stamps.