Integrality of genus zero Gopakumar-Vafa type invariants of semi-positive varieties

We give an alternate proof of the integrality conjecture of genus zero Gopakumar-Vafa type invariants on semi-positive varieties using algebraic geometry. The main technique is to relate Gopakumar-Vafa type invariants to quantum $K$-invariants and to utilize the integrality of the latter.