The box-out also shows 2/5 days with a well received questions, but I have asked a question with a positive score on at least three days.
The criteria is not just having a question with a positive score. There also needs to be no negative questions that day. Negatives include being closed, deleted, and down-voted.
If a question is closed, deleted, or down-voted, it is negative. I do not know whether that means a net negative vote score or any down-vote. But it certainly means that a question that has a net positive score that is either closed or deleted will block a question from counting as well-received. Note: we have an unusually high number of down-votes on this site. Down-voting is rare on most sites as few questions elsewhere are controversial in and of themselves.
Original proposal for asking day badges.
Note that they cache badge progress information, so it may well be out of date. Badges regularly don't get awarded for a period of time after qualification.