Here is the official statement as found on the PlayStation website:
Dear valued PlayStation®3 customers,
Unauthorized software for the PlayStation®3 system was recently released by hackers. Use of such software violates the terms of the “System Software License Agreement for the PlayStation®3 System” and the “Terms of Services and User Agreement” for the PlayStation®Network/Sony Entertainment Network and its Community Code of Conduct provisions.
Violation of the System Software License Agreement for the PlayStation®3 system invalidates the consumer’s right to access that system. Consumers running unauthorized or pirated software may have their access to the PlayStation®Network and access to Sony Entertainment Network services through PlayStation®3 system terminated permanently.
To avoid permanent termination, consumers must immediately cease using and delete all unauthorized or pirated software from their PlayStation®3 systems.
As you might have noticed, Sony is willing to forgive and forget as long as users “delete all unauthorized or pirated software”. Sony is taking the right steps given the circumstances but of course nothing can be done about those that play offline. Furthermore, some sources suggest that offline functionality will still be retained even after the ban from PlayStation Network which seems unusually and unnecessarily lenient.