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within the system error. The pressure of the packings at the jamming point studied in this paper is 100 ± 8 KPa. The difference between the volume fraction φ of these packings and the critical volume fraction φ$_{j}$ from power-law fitting in Eq. (4) is about 10 − $^{3}$. 

The same preparation protocol is repeated by using the force-biased algorithm (FBA) of [13] as initial protocol. The force-biased algorithm is a variant of the original method of W. S. Jodrey and E. M. Tory, Phys. Rev. A 32 , 2347 (1985), We also generate packings following the split algorithm of [7] starting with low initial volume fractions at φ$_{i}$ = 0 . 3 below RLP. 

The mechanical coordination number, Z$_{j}$ , versus the final jamming density, φ$_{j}$ , is plotted in Fig. 5A for all the obtained jammed packings which total 720. The plot signals the existence of a transition at RCP. It is analogous to the equilibrium liquid-solid transition in hard-spheres, if we replace Z$_{j}$ by the kinetic pressure of the fluid [6]. 

