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Multi-turn sessions pause 2 to 30 s while a tool runs. Where does their KV live, and what does a resume cost?

A paused session's KV is cached, not kept. The answer finds what actually evicts it (the running set, not the clock), prices a resume three ways on H200, and shows why the fix is a restore path and a router, not a bigger TTL.

Updated Oct 2026 · Worked answers on inference mechanisms, with calculations, implementation details, and follow-up questions.

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