The unique sum-point conjecture for complete arcs in $PG(2,q)$

Let $q$ be even, and let a complete arc in the projective plane $PG(2,q)$ mean an arc that cannot be enlarged by adding another point. Two arcs are projectively equivalent when a projectivity of $PG(2,q)$ maps one to the other; a sum-point is a point associated with the arc according to the paper's preceding definition. Unique sum-point conjecture. Every complete arc in $PG(2,q)$ is projectively equivalent to an arc with only one sum-point.

The conjecture proposes a canonical projective representative for every complete arc over an even-order field. Its status is not determined by the supplied text.