Attaching info (id) to the vertices for a CGAL Poisson reconstruction

Question

I spent the day trying to achieve the following, with no luck. I have been able to attach an id to the vertices (vertex()->info()) for some triangulations, with the help of std::pair. But now I want to do so for a Poisson surface reconstruction, which uses a Polyhedron_3 as a mesh, and I don't manage. Doing the Poisson surface reconstruction requires to use points with normals. So, for the points, I defined pairs constituted of a pair (point, normal) and an integer; my inputs are a matrix of points pts and a matrix of normals normals (these matrices come from R which runs the C++ code):

  const size_t npoints = pts.nrow();
  std::vector<IP3wn> points(npoints);
  for(size_t i = 0; i < npoints; i++) {
    points[i] = std::make_pair(
        std::make_pair(Point3(pts(i, 0), pts(i, 1), pts(i, 2)), i + 1),
        Vector3(normals(i, 0), normals(i, 1), normals(i, 2)));
  }
  Polyhedron mesh;

But I can't access to the field info() of the vertices:

for(Polyhedron::Facet_iterator fit = mesh.facets_begin();
    fit != mesh.facets_end(); fit++) {
  Polyhedron::Facet f = *fit;
  facets(i, 0) = f.halfedge()->vertex()->info();

The error message claims that there is no member info. Could you show me the right way please?