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By rule, control is needed on a rebound of an unsuccessful shot or on a jump ball to start the shot clock. Only on a throw-in does the shot clock start if the ball is touched. Therefore, the shot clock must remain at 30 seconds (since the ball hit the rim), until a team gains control of the ball inbounds. No team did that, so the shot clock remains at 30 seconds, and will only start counting down after the subsequent throw in.
If the officials can determine the last player to touch the ball, shot clock remains at 30 and the opponents receive possession. If not, the shot clock remains at 30 because the ball hit the rim on an unsuccessful shot, and possession is awarded by the alternating possession arrow (unless the officials are in the last 2 minutes of the 2nd half or overtime, where they are allowed to use instant replay for this purpose. In that case, see above, "If officials can determine".), and the shot clock remains at 30 until the subsequent throw-in.
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