We show that pairs
(
X
,
Y
)
(X,Y)
of
1
1
-spherical objects in
A
∞
A_\infty
-categories, such that the morphism space
Hom
(
X
,
Y
)
\operatorname {Hom}(X,Y)
is concentrated in degree
0
0
, can be described by certain noncommutative orders over (possibly stacky) curves. In fact, we establish a more precise correspondence at the level of isomorphism of moduli spaces which we show to be affine schemes of finite type over
Z
{\Bbb Z}
.