VITTEL, France — Lance Armstrong remained in third place at the Tour de France on Thursday, scrambling back to the main pack following a punctured tire with about 37 miles left.

Teammate and rival Alberto Contador of Spain stayed in second place and Rinaldo Nocentini of Italy kept the yellow jersey on a day Nicki Sorensen of Denmark won the 12th stage.

“Up and down all day long and was aggressive from the start,” Armstrong said on his Twitter feed.

Sorensen broke away and finished 48 seconds ahead of Laurent Lefevre of France. The 34-year-old Dane spent year...

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