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Fig. 2

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Cumulative number distribution (N<m) of bodies in the cold belt and the dynamical hot P48. The cold belt is well described by the analytical fit of Kavelaars et al. (2021) (Equation (2)), whose shape is assumed to be identical to the distribution of the bodies in the primordial belt. Population P48 is reconstructed by taking all bodies brighter than Hr = 5 and within 48 au from the MPC database (histograms) while bodies 5 ≤ Hr ≤ 8.3 are assumed to follow the completeness-corrected distribution from OSSOS++. The corresponding cumulative mass function is given by the black curve. The conversion between mass and magnitude (top) assumes an albedo typical for hot belt bodies (see Appendix A). The dotted lines labeled p = −2.0 and p = −2.5 correspond to N<mm1+p with p = −2 indicating an equal amount of mass per logarithmically spaced mass bin (the corresponding indices in terms of a radius spectrum dN/dRRq are q = −4 and q = −5.5, respectively). Pebble accretion operates to selectively grow the largest TNOs, flattening the size distribution.

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