I have a live input that will be receiving a stream for 4 hours; I don't want a 4 hour recording tho

I have a live input that will be receiving a stream for 4 hours; I don't want a 4 hour recording though, but rather 4 1-hour recordings.
How can I accomplish this without stopping and restarting my input stream every hour? (because if I stop and restart my stream it disrupts viewers)
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