  This manuscript presents the new analysis of recent CLAS and CLAS12 data
aimed at the extraction of $e(x)$. This publication benefits from a
proof-of-principle analysis of a smaller preliminary data set published in a
preprint form in \url{1405.7659}.
  We present the first point-by-point extraction of a twist-3 PDF. The scalar
PDF, $e(x)$, is accessed through the analysis of the data for the
$\sin\phi_R$-moment of the beam-spin asymmetry for dihadron production in
semi-inclusive DIS off proton target at CLAS and CLAS12. The dihadron formalism
allows for use of collinear framework, hence calling for a minimal set of
approximations and hypotheses. The extracted PDF $e(x)$ carries insights into
the physics of the largely-unexplored quark-gluon correlations, and its first
Mellin moment is related to the marginally-known scalar charge of the nucleon.
We show that the proton flavor combination of the scalar PDF is non-zero at
more than $74\%$ probability.
