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.
Repeat.
This ingenious loop turns your 0-cost artifacts into a self-sustaining engine by letting Toph, the First Metalbender redefine them as lands in addition to their artifact type. With Arid Archway serving as both the sacrifice outlet's fuel and the bounce mechanism, Thermopod steps in to turn every iteration into red mana while sacrificing the animated land. Whenever Arid Archway bites the dust, Toph, Hardheaded Teacher brings it right back to the battlefield, triggering its ability to scoop up the original 0-cost artifact and keep the cycle spinning endlessly.