It’s been over three years since Lincoln Center’s ambitious and winning revival of Thornton Wilder’s Pulitzer Prize-winning play of apocalypse-meets-absurdity The Skin of Our Teeth, which originally premiered on Broadway—mid-World War II—in 1942. Now the Public Theater is mounting Ethan Lipton’s knockout-excellent original musical adaptation, The Seat of Our Pants. The show, just shy of three hours long (booking to Dec. 7), is crisply directed (by Leigh Silverman), exquisitely performed by a starry, award-garlanded cast, and one of New York’s musical highlights of the year, on or off-Broadway.