When the department or the register claims that a decedent was domiciled in this Commonwealth at the time of his death and the taxing authority of another state makes a like claim on behalf of its state, the department may, with the approval of the Attorney General, make a written agreement with the other taxing authority and with the executor or administrator of the decedent to submit the controversy to the decision of a board consisting of one or any uneven number of arbitrators. The executor or administrator of the decedent is authorized to make the agreement. The parties to the agreement shall select the arbitrator or arbitrators.
72 P.S. § 9158