Looking at the equipment filing timeline, the May 21 filing is within the 20-day window after May 2 possession, so it's timely and gives Precision a super-priority PMSI. With the $620,000 unpaid obligation, Precision recovers that amount and Atlas gets the $30,000 surplus. For inventory, Precision perfected before the June 10 receipt, satisfying the perfection requirement, though the notice timing appears to be cut off mid-analysis. Precision's litigation strategy falls apart because the notice rules require perfection and authenticated notice before receipt, with no relation-back provision—so the June 9 filing doesn't help. The fix is straightforward: file first, send authenticated notice, then receive the goods and deliver. If Precision had st