To build on stewe's answer, closure compiler with Advanced turned on gives you a script that pollutes the global namespace with a bunch of one letter variables. So, I just wrap it in an anonymous function call like so:
(function() {
  function g(a) {
    var b = typeof a;
    if ("object" == b)
      if (a) {
        if (a instanceof Array) return "array";
        if (a instanceof Object) return b;
        var c = Object.prototype.toString.call(a);
        if ("[object Window]" == c) return "object";
        if ("[object Array]" == c || "number" == typeof a.length && "undefined" != typeof a.splice && "undefined" != typeof a.propertyIsEnumerable && !a.propertyIsEnumerable("splice")) return "array";
        if ("[object Function]" == c || "undefined" != typeof a.call && "undefined" != typeof a.propertyIsEnumerable && !a.propertyIsEnumerable("call")) return "function"
      } else return "null";
    else if ("function" == b && "undefined" == typeof a.call) return "object";
    return b
  };
  function h(a) {
    a = "" + a;
    if (/^\s*$/.test(a) ? 0 : /^[\],:{}\s\u2028\u2029]*$/.test(a.replace(/\\["\\\/bfnrtu]/g, "@").replace(/"[^"\\\n\r\u2028\u2029\x00-\x08\x10-\x1f\x80-\x9f]*"|true|false|null|-?\d+(?:\.\d*)?(?:[eE][+\-]?\d+)?/g, "]").replace(/(?:^|:|,)(?:[\s\u2028\u2029]*\[)+/g, ""))) try {
      return eval("(" + a + ")")
    } catch (b) {}
    throw Error("Invalid JSON string: " + a);
  }
  function i(a, b) {
    var c = [];
    j(new k(b), a, c);
    return c.join("")
  }
  function k(a) {
    this.a = a
  }
  function j(a, b, c) {
    switch (typeof b) {
      case "string":
        l(b, c);
        break;
      case "number":
        c.push(isFinite(b) && !isNaN(b) ? b : "null");
        break;
      case "boolean":
        c.push(b);
        break;
      case "undefined":
        c.push("null");
        break;
      case "object":
        if (null == b) {
          c.push("null");
          break
        }
        if ("array" == g(b)) {
          var f = b.length;
          c.push("[");
          for (var d = "", e = 0; e < f; e++) c.push(d), d = b[e], j(a, a.a ? a.a.call(b, "" + e, d) : d, c), d = ",";
          c.push("]");
          break
        }
        c.push("{");
        f = "";
        for (e in b) Object.prototype.hasOwnProperty.call(b, e) && (d = b[e], "function" != typeof d && (c.push(f), l(e, c), c.push(":"),
          j(a, a.a ? a.a.call(b, e, d) : d, c), f = ","));
        c.push("}");
        break;
      case "function":
        break;
      default:
        throw Error("Unknown type: " + typeof b);
    }
  }
  var m = {
      '"': '\\"',
      "\\": "\\\\",
      "/": "\\/",
      "\u0008": "\\b",
      "\u000c": "\\f",
      "\n": "\\n",
      "\r": "\\r",
      "\t": "\\t",
      "\x0B": "\\u000b"
    },
    n = /\uffff/.test("\uffff") ? /[\\\"\x00-\x1f\x7f-\uffff]/g : /[\\\"\x00-\x1f\x7f-\xff]/g;
  function l(a, b) {
    b.push('"', a.replace(n, function(a) {
      if (a in m) return m[a];
      var b = a.charCodeAt(0),
        d = "\\u";
      16 > b ? d += "000" : 256 > b ? d += "00" : 4096 > b && (d += "0");
      return m[a] = d + b.toString(16)
    }), '"')
  };
  window.JSON || (window.JSON = {});
  "function" !== typeof window.JSON.stringify && (window.JSON.stringify = i);
  "function" !== typeof window.JSON.parse && (window.JSON.parse = h);
})();
Now you can call:
var JSONString = JSON.stringify({name: 'value'});