Pin molds Mucor and bread molds Rhizopus traditionally placed in Zygomycota now reclassified into phylum Mucoromycota based on phylogenomics resolving previous polyphyly and establishing monophyletic groups. Mucoromycota includes Mucorales producing upright sporangiophores with columellate sporangia, fast saprotrophic growth, coenocytic mycelium lacking septa. Ascomycota lacks sporangia bearing asci, Basidiomycota produces mushrooms, Chytridiomycota possesses flagellated zoospores. Current taxonomy replaces broadly defined Zygomycota with Mucoromycota and Zoopagomycota. Hence pin and bread molds belong to Mucoromycota containing Rhizopus, Mucor, Phycomyces widely used in fermentation and food spoilage.
Ref:
Campbell Biology 12th ed., Chapter 31: Mucoromycota Pin Bread Molds; NCBI Fungal Phylogeny - Spatafora et al. 2016 Mucoromycota; Mycologia