The board shall, on request of the Board of Administration of the Public Employees’ Retirement System, the board of retirement of a retirement system established in another county under this chapter, the Board of Retirement of the State Teachers’ Retirement System, or the board of retirement of a retirement system of any other public agency of the state that has established reciprocity with the Public Employees’ Retirement System subject to the conditions of Section 31840.2, supply information and data necessary for the administration of such other system as it is affected by membership in and service credited under this system.