Comments:МССНЯ 360 has also *ṗiĺV 'split' ( = ND 1711 *[ṗ]eL(i)yA 'split, separate') - with the same IE + PU *piĺV (Coll. 49) and PD *piḷ-; probably two roots.
References:МССНЯ 356. ND 1688 *ṗäl̄[A] 'time (mal, fois), once, one' (+ Chad. 'one'), 1703 *P_äḷqA 'half, part' (+ Sem. 'split in 2 parts'); 1717 *P_ä[ḷ]VḳV 'to split lengthwise, divide' (Georg. and other suffixed forms; + Sem.). Cf. *ṗUĺV.