You're not going to find it in statute. 
From the decision:

"The narrow question before us is whether the 1976 amendment to the
Alaska Constitution exempted the legislature’s use of Permanent Fund income from the
Constitution’s anti-dedication clause. The answer cannot be found by weighing the
merits of the dividend program or by examining the statutory dividend formula. The
answer is found only in the language of the Alaska Constitution...The legislature’s use of Permanent Fund income is subject to normal appropriation and veto budgetary processes." page 3

The Court relied on the Alaska Constitution art. IX, § 13  (“No money shall be withdrawn from the treasury except in accordance with appropriations made by law.”). page 7

"Absent another constitutional amendment, the Permanent Fund
dividend program must compete for annual legislative funding just as other state
programs." page 23

http://www.courtrecords.alaska.gov/webdocs/opinions/ops/sp-7194.pdf