Cal. Ins. Code § 679.74
(a) An admitted insurer that is licensed to issue a policy of insurance upon real property of the type described in paragraph (1) of subdivision (a) of Section 675 or paragraph (1) of subdivision (b) of Section 675.5, when that real property is used for residential purposes, or property of the type described in subdivision (a) of Section 10087, shall not fail or refuse to accept an application for, or to issue a policy to an applicant for, that insurance unless the insurance is to be issued to the applicant by another insurer under the same management and control, or cancel that insurance, based upon the following characteristics:
(b) An application for a policy of insurance upon real property of the type described in subdivision (a), or an insurance investigation report furnished by an insurer to its agents or employees for use in determining the insurability of an applicant under such a policy, shall not carry any identification, or any requirement for identification, of the following characteristics: