Δt_gl − t_∞ diagram of 13 accreting pulsars. Black refers to spin-down, blue to spin-up. Pulsars with horizontal arrows experience a “random walk” of the spin period, and so the value Δt_gl reported in the diagram is a lower-limit. Pulsars with vertical arrows have ongoing spin-up or spin-down. We obtained t_∞ and from previous works (OAO 1657−415: Jenke et al. 2012; 4U 1626−67: Chakrabarty et al. 1997; Beri et al. 2014; 4U 1907+09: Inam et al. 2009; SAX J2103.5+4545: Camero et al. 2014), or from the Fermi/GBM monitoring archive (GX 1+4, EXO 2030+375, 2S 1417−624, RX J0520.5−6932, GRO J1744−28, KS J1947+300, Cen X−3, Vela X−1, Her X−1).