Intersections of our estimates for P₀ using Eq. (2), and the curves of ⟨κ⟩(P₀) as estimated using Eqs. (3), (6), and (7) (the latter is constrained such that P₀ < P_t) are shown by circular markers. The intersection location represents the lower limit for the pair-production multiplicity (see Table 3) for the associated values. Derived values for the pair-production multiplicity limit ⟨κ⟩_lim for each pulsar are shown as lower limit markers in matching colours to the multiplicity curve. The top panel assumes a luminosity conversion efficiency of η = 1 in the determination of ⟨κ⟩_lim, whereas the lower panel assumes η = 0.1.