My site page authority (PA) is 3 and domain authority (DA) is 9 on Moz bar Chrome extension.
On their website, PA is 1 and DA is also 1.
Which one is more accurate?
A few weeks ago, Moz announced that they were no longer updating the index database, for their Free Keyword Tool 'Open Site Explorer'. For purposes of clarity, the index database, is where all SEO related metrics are stored. Metrics, such as:
... to name some of the very few basic metrics.
By no longer updating such metrics, the Tool retains the last 'score' you achieved, up until the last day they updated their index database.
Unlike the Open Site Explorer, their Google Chrome Extension, is being updating on an ongoing basis. As such, the Chrome Extension is likely to provide you with a more up to date 'score', rather than an 'archived score'.
It is for this reason, it is likely you are seeing an inconsistency in your 'SEO Scores'.