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certified-computation

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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.

  • Updated Sep 4, 2026
  • Python

Exactly certified work on Heilbronn's triangle problem: one improved lower bound in the unit disk (n=14), plus a rigidity audit of the unit-square landscape. Every number re-derived from integers in exact arithmetic.

  • Updated Sep 3, 2026
  • Python
kr-cylinder-surgery

The Koras-Russell cylinder as an affine modification of A^4 — a commuting square through a motivic 4-sphere, a one-point Borel-Moore defect, and a machine-certified verification layer anyone can re-run in one command

  • Updated Aug 1, 2026
  • Python

Bernstein's constant to ten rigorously certified digits: beta = 0.2801694990, proved in interval arithmetic (Arb) where the 1985 Varga-Carpenter rigorous enclosure gives five. OEIS A073001. Every number re-derivable from the shipped data in exact arithmetic.

  • Updated Sep 3, 2026
  • Python

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