Does the default constructor of std::pair<> set basic types (int, etc) to zero?

After writing:

std::pair<int, int> x;

Am I guaranteed that x.first and x.second are both zero? Or could they have any value?

The reason why I care is because I'm trying to determine whether a map whose values are pointers is guaranteed to return NULL if I access an element that's not in the map. I.e., if I do:

std::map<int, void*> my_map;
std::cout << int(my_map[5]) << std::endl;

then am I guaranteed to get zero (NULL)? Or is the behavior undefined?

Yes, that guarantee holds true. Quoting the C++11 standard, §20.3.2/2-3:

        constexpr pair();

2 Requires: is_default_constructible<first_type>::value is true and is_default_constructible<second_type>::value is true.
3 Effects: Value-initializes first and second.

And §8.5/7:

To value-initialize an object of type T means:

• if T is a (possibly cv-qualified) class type with a user-provided constructor, then the default constructor for T is called (and the initialization is ill-formed if T has no accessible default constructor);
• if T is a (possibly cv-qualified) non-union class type without a user-provided constructor, then the object is zero-initialized and, if T's implicitly-declared default constructor is non-trivial, that constructor is called.
• if T is an array type, then each element is value-initialized;
• otherwise, the object is zero-initialized.

And lastly, §8.5/5:

To zero-initialize an object or reference of type T means:

• if T is a scalar type, the object is set to the value 0 (zero), taken as an integral constant expression, converted to T;
• if T is a (possibly cv-qualified) non-union class type, each non-static data member and each base-class subobject is zero-initialized and padding is initialized to zero bits;
• if T is a (possibly cv-qualified) union type, the object’s first non-static named data member is zero-initialized and padding is initialized to zero bits;
• if T is an array type, each element is zero-initialized;
• if T is a reference type, no initialization is performed.

From C++11 standard, section § 20.3.2

constexpr pair();
...
Effects: Value-initializes first and second.

So it is well-defined that the default initialization of an std::pair<int, int> object will result in both members being set to 0.

Yes, they are zero-initialized. A citation of Bjarne Stroustrup's "The C++ Programming Language" (3rd edn, Ch. 17.4.1.7):

The result of m[k] is equivalent to the result of (*(m.insert(make_pair(k,V())).first)).second, where V() is the default value of the mapped type. When you understand that equivalence, you probably understand associative containers.

For standard citations what default-initialized means look at the others answers.