© 2018 authors. Published by the American Physical Society. We reassess the B→πν differential branching ratio distribution experimental data released by the BABAR and Belle Collaborations supplemented with all lattice calculations of the B→π form factor shape available to date obtained by the HPQCD, FNAL/MILC, and RBC/UKQCD Collaborations. Our study is based on the method of Padé approximants and includes a detailed scrutiny of each individual data set that allows us to obtain |Vub|=3.51(8)stat(7)syst×10-3. The semileptonic B+→η(′)+ν decays are also addressed and the η-η′ mixing discussed.