As the number of coronavirus cases in California continued to increase over the past 24 hours, Gov. Gavin Newsom reminded residents Saturday that social distancing was the key to keeping the virus in check.

“We cannot allow cabin fever to set in,” Newsom said during an online news conference. “We cannot allow people to start congregating in big queues along our parks and beaches. We’ve kept numbers below the worst-case progressions so far — but recognize that we aren’t out of the woods.”

The latest figures, which Newsom updated, are sobering. More than 2,300 residents are hospitalized with the coronavirus, including 1,008 in intensive care unit beds, a 10.9% increase from the previous day. Another 12,026 Californians tested positive for COVID-19, a 12.4% uptick from Friday, with about 126,000 individuals having been tested.

“We are seeing big double-digit increases,” Newsom said. “You do the math on that. This is serious.”

Testing backlogs, however, had dropped from 59,500, as of two days ago, to 13,000 — marking major progress. The backlogged tests are from patients who have submitted lab samples but are waiting for results, which have sometimes taken up to 12 days. Testing delays have left California with one of the greatest backlogs in the country, according to the COVID Tracking Project, which monitors state testing data.

But on Saturday, Newsom announced a “new day” for coronavirus testing, which he acknowledged has been a challenging issue for him and the state. “I own that,” he said.

Newsom revealed a new website where manufacturers and companies can offer supplies (covid19supplies.ca.gov) to the state and partnerships with UC Davis and UC San Diego. Newsom said he hopes to create a minimum of five to seven testing hubs, which would allow the state to increase daily testing by five times over the next few weeks.

The hubs are labs that are already running tests but have the most unused capacity, said Paul Markovich, CEO of the health insurer Blue Shield of California and co-chair of the state task force on COVID-19 testing. When testing supplies such as swabs and chemical reagents become available, they will be sent to these labs, and health care providers conducting tests will be encouraged to send the samples there because they will have the supplies needed to process the tests.

“I want to see hundreds of thousands of tests,” Newsom said. He wants “everyone tested that needs to be tested. ... The numbers need to multiply exponentially.”

California ranks 39th out of 50 states and the District of Columbia in per capita testing, according to a Vox analysis of state testing data.

Additionally, Stanford Medicine has developed an antibody test that is expected to quickly get FDA authorization, Newsom said. Antibody tests —which are different from the diagnostic tests that have largely been the focus thus far —indicate whether a person has been infected and developed antibodies and may have some immunity.

Antibody tests are expected to play a critical role in the reopening of institutions. People with immunity, for example, may be able to leave their homes without the risk of infecting themselves or others, and start returning to the workforce.

“We’re very excited this is a California homegrown test that's going to be rolled out in the next week for actual use for Californians,” said Dr. Charity Dean of the California Department of Public Health, co-chair of the new state task force on coronavirus testing.

Stanford is working on two antibody tests — one that is being used as part of a study, and one to begin in the Stanford lab shortly, said Stanford spokeswoman Lisa Kim.

In other Bay Area coronavirus news, six veterans have tested positive at the San Francisco VA Medical Center. That includes two inpatients and four outpatients, according to data from the U.S. Department of Veteran Affairs.

At Laguna Honda Hospital, another resident and a staff member tested positive for the coronavirus, bringing the total to 11 staff members — the majority of them inpatient care positions — and three residents with the disease, according to a Department of Public Health release Saturday.

And, after nearly a month of self-isolation, the 650 crew members aboard the Grand Princess have concluded their quarantine. The cruise ship, which was struck with the coronavirus last month, will return to San Francisco Bay for provisions next week, then sail for several days of routine marine operations. The cruise line is working out a plan on where the ship will go next.

Chronicle staff writer Ron Kroichick contributed to this report.

Lizzie Johnson and Cat Ho are San Francisco Chronicle staff writers. Email: ljohnson@sfchronicle.com, cho@sfchronicle.com Twitter: @LizzieJohnsonnn, @Cat_Ho