When Arid Archway dies, Toph, Hardheaded Teach triggers, returning Arid Archway from your graveyard to the battlefield tapped.
When Arid Archway enters, it triggers, returning the artifact cast in step 1 from the battlefield to your hand, as it's a land due to Toph, the First Metalbender.
Resolve the Woe Strider ability
Repeat.
This elegant loop hinges on Toph, the First Metalbender transforming your cheap artifacts into actual lands, allowing Arid Archway to bounce them right back to your hand upon entering the battlefield. Meanwhile, Woe Strider provides a reliable sacrifice outlet to send Arid Archway straight to the graveyard, triggering its own demise. Toph, Hardheaded Teacher not only provides the initial recursion to bring Arid Archway back when it dies, but also rewards every spell you cast with earthbending power. By continuously replaying your zero-mana artifact and sacrificing the land to fuel the loop, you generate an endless storm of creature sacrifices, landfalls, and scrys.