Claims

Claim 1: All asymptotic series of physical interest are resurgent.

Claim 2: Alien calculus provides complete nonperturbative completion.

Claim 3: Stokes constants are topological invariants.

Claim 4: Median resummation gives unique real result.

Claim 5: Bridge equation connects all orders of transseries.

Claim 6: Wall-crossing formulas are Stokes automorphisms.

Claim 7: Écalle's theory solves the "divergent series problem".