What does warmth (Hot, Warm, Cooling, Cold, Dormant) mean?

Warmth says how long ago the last real contact was. With a cadence, it's measured against it: up to half the cadence is hot, up to the full cadence warm, up to one and a half times cooling, up to three times cold, and after that dormant. Without a cadence, fixed day thresholds apply. Without a recorded contact, Peak makes no statement.