Activate Umbral Collar Zealot by sacrificing the persist creature.
When the persist creature dies, its persist ability triggers, returning it from your graveyard to the battlefield with a -1/-1 counter on it.
When the persist creature enters, First Day of Class triggers, putting a +1/+1 counter on the persist creature.
Resolve the Umbral Collar Zealot ability.
Repeat from step 2
This clever loop transforms any standard persist creature into a self-sustaining engine by relying on First Day of Class to counteract the creature's native drawback. Whenever your persist creature returns to the battlefield, the passive enter-the-battlefield trigger from First Day of Class immediately grants it a +1/+1 counter, which annihilates the -1/-1 counter it arrived with due to state-based actions. From there, you can feed that same creature back into Umbral Collar Zealot's sacrifice ability to surveil your library indefinitely, generating an endless stream of enters-the-battlefield, leaves-the-battlefield, and death triggers.