Fewest points allowed in the BCS/Playoff era:

2011 Alabama - 8.1 (106 points allowed in 13 games) 3 shutouts

2008 USC - 9.0 (117 points allowed in 13 games) 3 shutouts

2001 Miami - 9.7 (117 points allowed in 12 games) 3 shutouts

2021 Georgia - 10.2 (153 points allowed in 15 games) 3 shutouts

2009 Nebraska - 10.4 (146 points allowed in 14 games) 2 shutouts

2005 Alabama - 10.7 (128 points allowed in 12 games) 1 shutout

2025 Ohio State defense is currently at 41 points allowed in 7 games with two shutouts. They need to hold their next 6 opponents to 65 points to set the record for least amount of points allowed in 13 games.

From what I could find, the most shutouts in a season is 3 and the most times an opponent has been held to single digits scoring is 8. Ohio State has a chance to break both, already having 2 shutouts and holding 6 opponents to single digits scoring.