Title: Few new reals,
Abstract: We introduce a new method for building models of CH, together with $\Pi_2$
statements over $H(\omega_2)$, by forcing over a model of CH. Unlike similar
constructions in the literature, our construction adds new reals, but only
$\aleph_1$-many of them. Using this approach, we prove that a very strong form
of the negation of Club Guessing at $\omega_1$ known as Measuring is consistent
together with CH, thereby answering a well-known question of Moore. The
construction works over any model of ZFC + CH and can be described as a finite
support forcing construction with finite systems of countable models with
markers as side conditions and with strong symmetry constraints on both side
conditions and working parts.