Like Dogfish stated the State of Washington records all pistol transfers/sales based on their form FIR-652-001. These forms are required by state law when the transfer is between a licensed dealer and a private individual. It doesn't apply to private party transactions or dealer to dealer transactions. The federal form 4473 applies to all firearms transfered between a dealer and private party.

Additionally, if a dealer sells more than one handgun to a private party the dealer is required to submit a "Report of multiple sale or other disposition of pistols and revolvers" to the ATF. Interstingly this only applies to pistols and revolvers not to frames or receivers, even if they are handgun receivers like a Thompson Contender.
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