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$explored->{$node->{_id}}++;
foreach my $link (@{$node->{_outlinks}}) {
   $do_search->($link->{_to}) unless ($explored->{$link->{_id}});
}

$explored->{$node->{_id}}++;
foreach my $link (@{$node->{_outlinks}}) {
   $do_search->($link->{_to}) unless ($explored->{$link->{_to}{_id}});
# we stored the node id, not the link id in $explored   ^^^^^
}