According to a Los Angeles County press release issued moments ago, County Registrar Dean Logan is suspending his department's issuing of marriage licenses or civil marriages for same-sex couples, after reviewing California Secretary of State Debra Bowen's canvass results of Proposition 8.
Logan's office stated that Logan will maintain his current order unless he gets a court order or is required to act otherwise by a "state regulatory agency."
Statewide Semi-Official Election Night results (source: California Secretary of State):
08 - Eliminates Right of Same-Sex Couples to Marry
YES: 5,358,796 52.5%
NO: 4,866,831 47.5%