Pinching antenna systems (PASS) have the advantages in the perspective of flexible antenna reconfiguration, line-of-sight (LoS) creation, and scalability features. To highlight the ascendancy of PASS, we survey the integration of PASS into non-orthogonal multiple access (NOMA) networks. The locations of nodes are randomly distributed within a circular coverage region. The influencing factors of line-of-sight (LoS) and non-line-of-sight (NLoS) propagation links from PASS to non-orthogonal nodes are taken into considered. To characterize performance of PASS-NOMA, we deduce the blockage probability and ergodic data rates expressions of two nodes over LoS/NLoS fading channels. In light of these theoretical results, the infinite diversity gain are also analyzed with near node n under non-ideal successive interference cancellation (NISIC) and far node f over LoS links. The slopes of ergodic data rate for node n with NISIC and node f were equal to zeros. In addition, the PASS-NOMA system throughput are evaluated in different transmission modes. It is shown from the numerical results that: 1) The blockage outage behaviors of PASS-NOMA networks with LoS/NLoS conditions outperform that of PASS aided traditional orthogonal multiple access (OMA); 2)The employment of PASS enables the larger ergodic data rates relative to PASS-OMA networks; and 3) As the quantity of pinching antennas rises, the performance of PASS-NOMA networks are enhanced over LoS/NLoS propagation links.