How to use vertex dentifiers in Boost graph of size int64_t

Question

I am trying to add edges to a Boost undirected graph using boost::add_edge(...). The graph is defined as:

using osm_id_t = int64_t;
typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::undirectedS,
        // vertex properties
        boost::property<boost::vertex_index_t, osm_id_t,
        boost::property<boost::vertex_color_t, boost::default_color_type> >,
        // edge properties
        boost::no_property> UndirectedOSMIdGraph;

I do not get compile errors. My code works fine, if the vertices are ints (e.g. boost::add_edge(1, 2, g)). However, as soon as I add vertices as int64_t, I get a "terminate called after throwing an instance of 'std::bad_alloc'

    UndirectedOSMIdGraph g;
    osm_id_t large {1810014749};
    boost::add_edge (large, 2, g);  //if instead large is just 1 it works
    boost::add_edge (2, 3, g);
    ...

I guess I have to specify somehow the size of the vertex numbers - but I just do not understand how to do it. Note: I do not want to add extra properties to the vertices - I just need large numbers for the vertices (because they are identifiers from OpenStreetMap).