validated-numerics

Certified analytic geometry on an explicit K3 surface: a finite holomorphic atlas whose chart domains, transitions and branch continuations are machine-checked rather than asserted. Sixty chart types, exact transitions over Q, outward-rounded arithmetic elsewhere. No Ricci-flat metric claimed. One command verifies fourteen certificates.

Validated interval arithmetic with directed outward rounding. Enclosures you can build a proof on, plus the self-check that proves they hold.

Arb-certified local descent near regular projective-response levels in quantum control.