There we go, that changes things. Looking in the NDS a 5/8 lag in withdrawal in wood of .46 SG is 395 lbs per inch of penetration, he's calling out 5" and 4 lags although I'd want the tight 2 able to take the load. I'd also call that the span of the arched member in your check. There's also now a midpoint load on the 6x8 if you're still unwrapping it.
That's section 11 of the NDS and worth a read for properly making those connections. awc.org, hit the publications tab I believe.