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Introduction {#Sec1} ============ Sensory perception emerges from the confluence of bottom-up and top-down inputs. In olfaction, feedback projections innervate the first brain relay for information processing: the olfactory bulb (OB). The OB receives information from olfactory receptor neurons, each bearing a single odorant receptor but expressing \~1,000 odorant receptors altogether in mice^[@CR1],\ [@CR2]^. All sensory neurons expressing the same receptor converge to \~2 glomeruli within each OB^[@CR3]^, where they synapse onto apical dendrites of OB principal cells (mitral and tufted cells) as well as glomerular layer interneurons, thereby forming a map of receptor identity. A given OB principal cell sends its apical dendrite to a single glomerulus, while the populations of mitral and tufted cells multiplex odor information to a variety of higher brain regions, including the anterior piriform cortex (APC)^[@CR4]--[@CR6]^. The APC is the largest region of primary olfactory cortex. It is thought to be involved in odor identity encoding, and to serve as a location for learning-induced changes in olfaction^[@CR7],\ [@CR8]^. Single piriform neurons receive convergent inputs from multiple glomeruli. At the population level, odor information in the APC is sparse and distributed, and lacks evident topographic organization^[@CR5],\ [@CR6],\ [@CR9]--[@CR13]^. Odor information encoded by assemblies of APC cells is then transmitted to a variety of olfactory regions such as the anterior olfactory nucleus (AON), posterior piriform cortex (PPC), cortical amygdala (CoA), and lateral entorhinal cortex (LEnt). These olfactory cortical areas also project to higher, non-sensory brain regions such as the orbitofrontal cortex (OFC). However, little is known about the organization of APC projection channels. The APC is a paleocortex composed of three layers. From superficial to deep: layer 1 is the input layer, layer 2 contains densely packed principal cells, and layer 3 comprises a combination of principal cells and GABAergic neurons. Deep to layer 3 is the endopiriform cortex (EndoP), mainly populated with multipolar neurons^[@CR14]^. Furthermore, layer 2 can be divided into two sublayers, 2a being roughly the superficial half of layer 2, and 2b the deeper half. Afferent inputs from the OB make synapses mainly with the distal dendrites of layer 2 principal cells. However, the strength and connectivity of these synapses appear to be cell-type specific: the semilunar (SL) cells in L2a receive stronger inputs while the superficial pyramidal (SP) cells in L2b receive weaker sensory inputs^[@CR15],\ [@CR16]^. In addition to these synaptic properties, recent work demonstrated that SL and SP cells exhibit cell-type specific connectivity^[@CR17],\ [@CR18]^. SL cells make synapses onto layer 2b SP cells without forming recurrent synapses on to themselves, while SP cells are recurrently connected^[@CR17]^. Therefore, layer 2 is populated with a mix of principal cells, namely SL and SP cells^[@CR16]^, playing different roles in the synaptic processing of olfactory information^[@CR15]^. Input processing and recurrent connectivity is well described in the APC^[@CR4],\ [@CR8],\ [@CR15],\ [@CR19]^. However, it is unclear which neuron types contribute to the numerous projections out of the APC. Reconstruction studies of individual neurons suggest that APC principal cells project axons to the OB, AON, and to downstream olfactory