Jace's Archivist and Bloom Tender do not have summoning sickness.
A player has at least one card in their hand.
Steps
Activate Bloom Tender by tapping it, adding at least ({U} magic symbol) ({R} magic symbol) ({G} magic symbol) .
Activate Jace's Archivist by paying ({U} magic symbol) and tapping it, causing each player to discard their hand and draw cards equal to the greatest number of cards discarded by a single player this way.
Xyris triggers once for each card your opponent draw, and Kozilek triggers if it was discarded.
Resolve the first Xyris trigger, creating a 1/1 Snake creature token.
The Snake enters the battlefield, triggering Intruder Alarm, untapping all creatures.
Activate Bloom Tender by tapping it, adding at least ({U} magic symbol) ({R} magic symbol) ({G} magic symbol) .
Repeat from step 4 for each remaining Xyris trigger.
Resolve the Kozilek trigger from step 3, if applicable, causing you to shuffle your graveyard into your library.
Repeat from step 2.
Results
Infinite creature tokens.
Infinite death triggers.
Infinite draw triggers.
Infinite draw triggers for opponents.
Infinite ETB.
Infinite looting.
Infinite looting for opponents.
Infinite LTB.
Infinite mana creatures you control can produce.
Infinite mana of colors among permanents you control.