Is there a way to embed/mashup the OpenStreetMap in your page (like the way Google Maps API works)?
I need to show a map inside my page with some markers and allow dragging/zooming around, maybe routing. I suspect there would be some Javascript API for this, but I can't seem to find it.
Searching gets me an API for access to raw map data, but that seems to be more for map editing; besides, working with that would be a heavy task for AJAX.
You need to use some JavaScript stuff to show your map. OpenLayers is the number one choice for this.
There is an example at http://wiki.openstreetmap.org/wiki/OpenLayers_Simple_Example and something more advanced at
http://wiki.openstreetmap.org/wiki/OpenLayers_Marker
and
http://wiki.openstreetmap.org/wiki/Openlayers_POI_layer_example