You need to know two things: 1) ASP status and 2) the specific rules for where you want to park. If ASP is in effect, you have to follow the ASP signs posted on the block where you want to park. If ASP is suspended, you do not have to follow the ASP signs.
To look up the ASP rules for a specific location, use the traffic sign database or the DOTMap. On the map, you will have to zoom in to the street level of the location you want to view, and then select "Parking Signs" from the GIS Layers menu on the right. If there is construction or a recent update to parking rules, the database information may not be current. Always follow the posted signs.