In the modern world, research areas are extremely progressive. One of
them is the computability of structure within the computability theory.
As the research field progressed, we got new problems. In the com-
putability of structures, the actual problem was efficient. To fill this gap
in the paper "Algebraic structures computable without delay", the au-
thors defined fully primitive recursive structures. Then, in 2019 in the
paper "Foundations of Online Structure Theory" the authors defined a
new research area "online structures" and renamed the fully primitive
recursive structures as punctual structures. In this work, I presented a
comprehensive survey of all available articles on punctually computable
structures.