Well, I truly appreciate everyone's help. I solved the problem but
implementing a Google client library--something like:
GDataWrapper wiseWrapper;
runQuery(new QueryFunction() {
@Override
public void query(GDataServiceClient client) {
final InputStream is = client.getMediaEntryAsStream(url, wiseAuth
.getAuthToken());
final BufferedReader rd = new BufferedReader(new InputStreamReader(is));
}
(Too lazy to provide proper pseudocode...)
The point is I didn't change anything about how I was creating my token,
just the way it was being used.