  In an attempt to consolidate Szabo's geometric chain complex and Bar\hyp
Natan's chain complex, Sarkar-Seed-Szabo defined a total complex $CTot(L)$ over
$\mathbb{F}_{2}$ by adding some extra terms $\{h_{i} \}_{i=2}^{\infty}$ in the
differential. In this paper we prove the uniqueness of $\{h_{i}
\}_{i=2}^{\infty}$ upto some properties. This in turn implies that the total
complex $CTot(L)$ is unique.
