NEW YORK >> Thousands and possibly millions of websites hosted by GoDaddy.com were down today, causing trouble for the mainly small businesses that rely on the service.

A Twitter feed that claims to be affiliated with the “Anonymous” hacker group says it was behind the outage, but this couldn’t be confirmed. Another Twitter account, known to be associated with Anonymous, suggested the first one was just taking advantage of an outage it had nothing to do with.

GoDaddy spokeswoman Elizabeth Driscoll said the company was still investigating the cause and working to restore service.

GoDaddy.com hosts more than 5 million websites, mostly for small businesses. Websites that were complaining on Twitter about outages included MixForSale.com, which sells accessories with Japanese animation themes, and YouWatch.org, a video-sharing site.

The outage began shortly after 7 a.m. Hawaii time, Driscoll said.

Kenneth Borg, who works in a Long Beach, Calif., screen printing business, said fresnodogprints.com and two other sites were down. Their email addresses weren’t working either.

“We run our entire business through websites and emails, so everything’s down today,” Borg said.

The business even takes orders from its two physical stores through the Web, so clerks had to use their personal email addresses to send in orders to the printing shop, causing an administrative headache, Borg said.

Borg said he could empathize to some extent with the hacker, if one was involved. GoDaddy was a target for “hacktivists” early this year, when it supported a copyright bill, the Stop Online Piracy Act. Movie and music studios had backed the changes, but critics say they would result in censorship and discourage Internet innovation.

“I’m definitely one for upsetting the establishment in some cases, and I understand that if he’s going after GoDaddy, he may have had many reasons for doing that,” Borg said. “But I don’t think he realized that he was affecting so many small businesses, and not just a major company.”