Minimum innings pitched per week?

[Boulder Ball Busters]

Is there a rule for this or can someone pitch 1 inning total for the week and win ERA and WHIP if they did it scoreless?

[Columbus Wild]

To be honest, I don't believe we have that listed in the rules and the league is set to do nothing for minimums.   

At the moment, your scenario above can happen.  You'll just lose all the other categories.  If you have zero IP, you won't win any pitching categories.