"pivots around" is correct and can be used in written English.
For example: "The debate pivots around the question of government regulation of the internet."
History pivots around their terms.
Now the Miriam Moran pivots around the bow and starts to push.
On the surface, George Bush's presidency pivots around the same ideas.
The Child's Child, her 2013 Barbara Vine, pivots around homosexual longing and an unwanted baby.
Body and mouth are the pivots around which the film turns.
"Trespasses" pivots around a couple's revelations to their daughter about the traumatic circumstances surrounding her birth.
Price and demand are the two pivots around which all sales revolve.
Rimini has been undergoing a policy of seasonality smoothing, which mainly pivots around business and cultural tourism.
So how do you build a policy review that pivots around these twin concerns of owning and belonging?
It pivots around the friendship between two students in 1880s Oxford – pious, possessive theologian Edward and brilliant medic Stephen.
These serve as landmarks and as pivots, around which visitors begin to leave daylight behind as they descend a broad staircase.
