Hi Ernie. I just checked and it looks like you do need a resident’s certificate: https://arrecifebus.com/index.php?option=com_content&view=article&id=1999&lang=en
But, it might be worth a try if you a registered on the Padrón – try taking your certificado de empadronamiento to the bus station in Arrecife and see if they will issue a bono on that basis.