zerobeacon — MF 1000

d=2303582338 · 20×50 · 1000 beacon-anchored tools
Positivity is a theorem, not an assumption. ω²=48/13=3.6923 >0 on X₀(143) — Lean4 verified

🔑 API key gating is active
FREE tools (first 100) require no key.
PRO / ENTERPRISE tools require an X-API-Key header.
After Stripe checkout you are redirected to /success?session_id=… where your key is shown automatically. Already have a key? Verify it at GET /key/check.

API docs (1000 tools) /beacon JSON /health /pricing /key/check PayPal

beacon=1d2c7a5b · genesis=82843 · d=2303582338