Cal. CCP § 708.760

(a) If the judgment debtor named in the abstract or certified copy of the judgment filed pursuant to this article is a contractor upon a public work, the cost of which is to be paid out of public moneys voted, appropriated, or otherwise set apart for such purpose, only so much of the contract price shall be deemed owing and unpaid within the meaning of Section 708.740 or 708.750 as may remain payable under the terms of the contractor’s contract, upon the completion thereof, after deducting sums due and to become due to persons described in Section 9100 of the Civil Code. In ascertaining the sums due or to become due to such persons, only claims which are filed against the moneys due or to become due to the judgment debtor in accordance with Chapter 4 (commencing with Section 9350) of Title 3 of Part 6 of Division 4 of the Civil Code shall be considered.

(b) The Controller, auditor, or other public disbursing officer whose duty it is to make payments under the provisions of the contract may not deposit an amount with the court pursuant to this article until the contract is completed, but may deposit an amount with the court to satisfy the claim of the judgment debtor before the payments specified in subdivision (a) are made so long as a sufficient amount is retained for the satisfaction of the claims of persons described in Section 9100 of the Civil Code.