10,000
The shared mid price is a deterministic geometric random walk: each tick draws two HMAC-SHA256 derived uniforms u₁, u₂, applies Box–Muller to get Z ~ N(0,1), and updates M(t+1) = M(t) · exp(σ · Z). Every tick is reproducible from the seeds, so anyone watching the chart sees the same line and can verify any historical print.
