  SrTiO$_3$, although a wide gap insulator, has long been known to become
metallic and superconducting at extremely low doping levels. This has given
rise to questions concerning the coexistence or interdependence of metallicity,
superconductivity, and the material's polar properties. This issue becomes
especially intriguing in conjunction with the observation that filamentary
metallicity can be induced by means of resistive switching at conditions well
below relevant doping levels for homogeneous metallicity. In this study, we
demonstrate that resistive switching can also be employed to generate
superconductivity at the superconducting transition temperature of $T_c$
$\approx$ 0.2 K in SrTiO$_3$. By combining local characterization of the
conductivity with theoretical analysis, we propose that the superconducting
properties are associated with the electro-formation of columnar-like bundles
with a diameter of 40-50 nm, consisting of metallic filaments surrounded by
polar regions. We provide a theoretical model identifying the coexistence of
metallic and polar regions as a prerequisite for the filamentary-like
superconductivity observed.
