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Nullspace does not publish a separate public hosted status page during private beta. Use these health checks for the hosted beta surfaces after setting NULLSPACE_API_URL and NULLSPACE_DOCS_URL: 
curl -fsS "${NULLSPACE_API_URL}/healthz"
curl -fsSIL "${NULLSPACE_DOCS_URL}/"
curl -fsSIL "${NULLSPACE_DOCS_URL}/api-reference"
Current private-beta endpoint values live in Hosted endpoints. The docs site builds from docs/site/ and the canonical OpenAPI spec at specs/openapi.yaml. API reference pages are generated by Mintlify from the tracked docs/site/openapi.yaml symlink. Operational runbooks and launch-gate evidence remain in docs/engineering/runbooks/.

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Self-Hosted Single-Host

For the OSS appliance, use the operator command on the host rather than hosted status endpoints: 
sudo nullspace-host doctor --json
sudo nullspace-host status --json
sudo nullspace-host logs --json
GET /healthz is process liveness only. It does not prove local Supabase, runtime capacity, worker readiness, storage layout, ingress, Firecracker hardening, or sandbox lifecycle success. Use nullspace-host launch-gate on supported Ubuntu x86_64 KVM hardware before making public release claims. See Self-Hosted Single-Host.