Proven, not promised.
Most platforms benchmark. We prove. The foundation is formally verified in Lean 4 — a machine-checked build that elaborates 872 theorems with zero gaps and zero parameters fit to data.
A signed Lean 4 build attestation
Build: PASS
lake build completed with return code 0 — the corpus elaborates clean.
872 · 0 · 0 · 0
872 theorems & lemmas, 0 sorry, 0 admit, and 0 free parameters fit to data, across 30 modules.
Lean 4
Verified with Lean 4 (4.29.1). Proof tactics are standard and decidable: native_decide, norm_num, omega, simp.
Attested
Issued by the Atomadic Research Center on 2026-05-06 — counts and content hashes only.
Derived, not tuned
Every numerical constant in the system is derived from classical integer group theory and combinatorics — none is tuned or fit to experimental data. There are no sorrys, no admits, and no user-declared axioms beyond Lean's core. The handful of declared axioms are protocol thresholds plus two well-known classical lattice results (Niemeier, 1973; Conway & Sloane, SPLAG, Thm 4.13) — cited, not invented. That's what 0 free parameters means: nothing was bent to fit a desired answer.
Recompute the hash
The attestation publishes a reproducibility anchor — a SHA-256 over the sorted per-module content hashes. Given the proof tree, anyone can recompute it and confirm the bit-identical corpus existed at attestation time.
The attestation discloses counts and content hashes only — never theorem statements, proof tactics, or proprietary content. We don't claim a benchmark score. We don't say "trust us." We hand you the hash to check.