The nature of the nuisance must be specifically stated on the notice.
The City and County of San Francisco passed its Rent Ordinance limits rent increases for tenants in occupancy, and protects tenants from evictions in order to preserve low-cost housing in San Francisco. Tenants who are protected under the Rent Ordinance may not be evicted for no reason or any reason, but only based upon one of the enumerated "just causes", such as non-payment or rent, "nuisance", or owner-occupancy.
If you want to challenge an eviction based upon the notice you received, you are going to need to consult with a San Francisco tenant attorney.
Frank W. Chen has been licensed to practice law in California since 1988. The information presented here is general in nature and is not intended, nor should be construed, as legal advice. This posting does not create any attorney-client relationship with the author. For specific advice about your particular situation, consult your own attorney.