Updated 5:00 pm
Eagle eyed Matt Gregory alerted me to the fact that the Google for Business Dashboard (and apparently the G+ Page for local as well) that a business can now indicate that they are open for 24 hours and it will display correctly on the G+ Local page. This is a feature that has long been requested in the forums.
To have your hours show as open 24 hours in either the Dashboard or the Plus Page management area indicate an opening and closing time of 12 a.m.
Google has yet to fully clarify who is eligible for using this feature and whether a physical presence is required. It would seem that brick and mortar shops that have a physical presence would clearly be eligible as would service area businesses that hide their address and make house calls 24 hours a day. Beyond that it gets murkier. Would a lawyer that has a call center answer for them qualify? Would a bricks and mortar shop that is willing to come in on an appointment basis if called?
I asked Google to clarify their policy as to who was eligible to use this 24 hour designation. Their response: