INTERNAL REVENUE SERVICE - You will need your SS#, your filing status and the refund amount.
https://sa.www4.irs.gov/irfof/lang/en/irfofgetstatus.jsp
CALIFORNIA FRANCHISE TAX BOARD - You will need your SS#, zip code, your exact refund amount and the numbers in your mailing address.
https://www.ftb.ca.gov/refund/index.asp