That's not accurate.
In the 1st round of the 2016 NBA draft, the Sixers have:
a) their own pick
b) the Laker's pick, as long as it is not the 1st, 2nd, or 3rd pick
c) Miami's pick (as long as it's not 1-10)
d) Oklahoma City's pick (as long as it's not 1-15)
They also have the option of swapping their pick with Sacremento's pick, provided Sacremento's is not 11-30. Sacremento isn't doing too well this season, but there's not much chance that Sacremento will have a higher pick than the Sixers.
They also have a crazy swap agreement with Golden State, where they can swap the least favorable of Miami's or OK City's pick, provided they both fall outside the protected zones, or either of these picks if only 1 falls outside the protected zone, for Golden State's 1st round pick. Miami, Oklahoma City, and Golden State are leading their respective divisions, so no matter how this plays out there's almost no expectation that this will be a high pick.
If the season ended today, the Sixers, the Lakers, and Sacremento would be in the lottery. The Sixers only get to swap with Sacremento if they want to, so there is no way that the Sixers will have "three picks in the top 10." They may have 2 in the top 10, or they have only 1 if the Lakers get the 1st, 2nd, or 3rd pick. (FWIW, if the Lakers' pick is 1, 2, or 3, then the Lakers keep their pick this year, and the Sixers get their 2017 1st round pick, but that's also 1-3 protected. If the Lakers get a 1-3 pick in 2017, then they keep that pick and the Sixers get the Lakers 1st round pick in 2018, and it's not protected.)
The Miami and the Oklahoma City picks for 2016 are expected to be very late in the 1st round. The best scenario for the Sixers is that they get the #1 pick with their pick, and that the Lakers lottery selection becomes the #4 pick, so that the Sixers get that pick.