That looks like michelin Bibsport TS20 with the familiar white "skin" sidewalls They were very nice looking tires but were not the toughest tires out there. The sidewall threads tend to break and fray prematurely. I would consider not using that tire anymore and just keep it as a nice souvenier. Get some new tires for the bike that will ride better and safer.
Good luck on the restoration. The PH10 makes for a nice soloid foundation to come up with a fast beautiful bike....I know I had one and it was a blast to ride and mod up!

Chombi
84 Peugeot PSV
85 Vitus Plus Carbone 7