You can use a $PARTNUMBER column in your design table to automatically generate all part number combinations for your model's configurations during the upload process when you upload using the SOLIDWORKS Configuration Publisher. The generated part numbers are searchable on 3D ContentCentral and correspond to the associated configurations.
You can upload the model without generating part numbers by uploading directly to Supplier Services (not using Configuration Publisher) or by uploading through the Configuration Publisher and clicking Cancel in the Calculating Part Numbers dialog box.
Verify that the part numbers for your configurations are unique.