diff --git a/README.md b/README.md
index ac55838..0edac4a 100644
--- a/README.md
+++ b/README.md
@@ -34,6 +34,12 @@ lives in his namespace.
 Schema-reference resolution is not recursivity-proven: If there is a nested
 cross-schema reference, it will not stop.  (Though I haven't tested it)
 
+Numerical validation uses `int64_t`, `uint64_t` or `double`, depending on if the schema type is "integer" or "number". Bignum (i.e. arbitrary precision and range) is not supported at this time.
+
+Unsigned integer validation will only take place if the following two conditions are true:
+- The nlohmann `type()` of the json object under validation is `nlohmann::json::value_t::number_unsigned`
+- The schema specifies a numerical minimum greater than or equal to 0
+
 # How to use
 
 The current state of the build-system needs at least version **3.1.1** of NLohmann's
diff --git a/src/json-validator.cpp b/src/json-validator.cpp
index ecb88da..7dfa7ab 100644
--- a/src/json-validator.cpp
+++ b/src/json-validator.cpp
@@ -186,64 +186,98 @@ void validate_boolean(const json & /*instance*/, const json &schema, const std::
 	validate_type(schema, "boolean", name);
 }
 
-void validate_numeric(const json &schema, const std::string &name, double value)
+template <class T>
+bool violates_numeric_maximum(T max, T value, bool exclusive)
 {
+	if (exclusive)
+		return value > max;
+
+	return value >= max;
+}
+
+template <class T>
+bool violates_numeric_minimum(T min, T value, bool exclusive)
+{
+	if (exclusive)
+		return value < min;
+
+	return value <= min;
+}
+
+template <class T>
+void validate_numeric(const json &instance, const json &schema, const std::string &name)
+{
+	T value = instance;
+
 	// multipleOf - if the rest of the division is 0 -> OK
 	const auto &multipleOf = schema.find("multipleOf");
 	if (multipleOf != schema.end()) {
-		if (multipleOf.value().get<double>() != 0.0) {
+		T multiple = multipleOf.value();
+		if (multiple != 0.0) {
 
-			double v = value;
-			v /= multipleOf.value().get<double>();
-
-			if (v != (double) (long) v)
-				throw std::out_of_range(name + " is not a multiple ...");
+			T v = value / multiple;
+			if (v != (T) (long) v)
+				throw std::out_of_range(name + " is not a multiple of " + std::to_string(multiple));
 		}
 	}
 
 	const auto &maximum = schema.find("maximum");
 	if (maximum != schema.end()) {
-		double maxi = maximum.value();
-		auto ex = std::out_of_range(name + " exceeds maximum of " + std::to_string(maxi));
-		if (schema.find("exclusiveMaximum") != schema.end()) {
-			if (value >= maxi)
-				throw ex;
-		} else {
-			if (value > maxi)
-				throw ex;
-		}
+		T maxi = maximum.value();
+
+		const auto &excl = schema.find("exclusiveMaximum");
+		bool exclusive = (excl != schema.end()) ? excl.value().get<bool>() : false;
+
+		if (violates_numeric_maximum<T>(maxi, value, exclusive))
+			throw std::out_of_range(name + " exceeds maximum of " + std::to_string(maxi));
 	}
 
 	const auto &minimum = schema.find("minimum");
 	if (minimum != schema.end()) {
-		double mini = minimum.value();
-		auto ex = std::out_of_range(name + " is below the minimum of " + std::to_string(mini));
-		if (schema.find("exclusiveMinimum") != schema.end()) {
-			if (value <= mini)
-				throw ex;
-		} else {
-			if (value < mini)
-				throw ex;
-		}
+		T mini = minimum.value();
+
+		const auto &excl = schema.find("exclusiveMinimum");
+		bool exclusive = (excl != schema.end()) ? excl.value().get<bool>() : false;
+
+		if (violates_numeric_minimum<T>(mini, value, exclusive))
+			throw std::out_of_range(name + " is below minimum of " + std::to_string(mini));
 	}
 }
 
 void validate_integer(const json &instance, const json &schema, const std::string &name)
 {
 	validate_type(schema, "integer", name);
-	validate_numeric(schema, name, instance.get<double>());
+	//TODO: Validate schema values are json::value_t::number_integer/unsigned?
+
+	validate_numeric<int64_t>(instance, schema, name);
+}
+
+bool is_unsigned(const json &schema)
+{
+	const auto &minimum = schema.find("minimum");
+
+	// Number is expected to be unsigned if a minimum >= 0 is set
+	return minimum != schema.end() && minimum.value() >= 0;
 }
 
 void validate_unsigned(const json &instance, const json &schema, const std::string &name)
 {
 	validate_type(schema, "integer", name);
-	validate_numeric(schema, name, instance.get<double>());
+	//TODO: Validate schema values are json::value_t::unsigned?
+
+	//Is there a better way to determine whether an unsigned comparison should take place?
+	if (is_unsigned(schema))
+		validate_numeric<uint64_t>(instance, schema, name);
+	else
+		validate_numeric<int64_t>(instance, schema, name);
 }
 
 void validate_float(const json &instance, const json &schema, const std::string &name)
 {
 	validate_type(schema, "number", name);
-	validate_numeric(schema, name, instance.get<double>());
+	//TODO: Validate schema values are json::value_t::number_float?
+
+	validate_numeric<double>(instance, schema, name);
 }
 
 void validate_null(const json & /*instance*/, const json &schema, const std::string &name)