Stick to the exact package versions for the direct dependencies

package.json

   "readmeFilename": "README.md",
   "//": "Callstats.io does not work with recent versions of jsSHA (2.0.1 in particular)",
   "dependencies": {
-    "@atlassian/aui": "^6.0.0",
+    "@atlassian/aui": "6.0.6",
     "async": "0.9.0",
-    "autosize": "^1.18.13",
+    "autosize": "1.18.13",
     "bootstrap": "3.1.1",
     "es6-iterator": "2.0.0",
     "es6-symbol": "3.1.0",
     "i18next-browser-languagedetector": "1.0.1",
     "i18next-xhr-backend": "1.3.0",
     "jitsi-meet-logger": "jitsi/jitsi-meet-logger",
-    "jquery": "~2.1.1",
-    "jquery-contextmenu": "*",
+    "jquery": "2.1.4",
+    "jquery-contextmenu": "2.4.3",
     "jquery-i18next": "1.1.0",
     "jQuery-Impromptu": "trentrichardson/jQuery-Impromptu#v6.0.0",
     "jquery-ui": "1.10.5",
     "jssha": "1.5.0",
-    "jws": "*",
+    "jws": "3.1.4",
     "lib-jitsi-meet": "jitsi/lib-jitsi-meet",
-    "postis": "^2.2.0",
+    "postis": "2.2.0",
     "react": "15.4.2",
     "react-dom": "15.4.2",
     "react-i18next": "2.2.0",
     "react-native": "0.41.2",
     "react-native-background-timer": "1.0.0",
     "react-native-immersive": "0.0.4",
-    "react-native-keep-awake": "^2.0.2",
+    "react-native-keep-awake": "2.0.2",
     "react-native-locale-detector": "1.0.1",
-    "react-native-prompt": "^1.0.0",
-    "react-native-vector-icons": "^4.0.0",
+    "react-native-prompt": "1.0.0",
+    "react-native-vector-icons": "4.0.0",
     "react-native-webrtc": "jitsi/react-native-webrtc",
-    "react-redux": "^5.0.2",
-    "redux": "^3.5.2",
-    "redux-thunk": "^2.1.0",
+    "react-redux": "5.0.3",
+    "redux": "3.6.0",
+    "redux-thunk": "2.2.0",
     "retry": "0.6.1",
     "strophe": "1.2.4",
     "strophejs-plugins": "0.0.7",
-    "toastr": "^2.0.3",
+    "toastr": "2.1.2",
     "url-polyfill": "github/url-polyfill",
-    "xmldom": "^0.1.27"
+    "xmldom": "0.1.27"
   },
   "devDependencies": {
-    "babel-core": "^6.18.0",
-    "babel-eslint": "^7.1.1",
-    "babel-loader": "^6.2.10",
-    "babel-polyfill": "*",
-    "babel-preset-es2015": "^6.18.0",
-    "babel-preset-react": "^6.16.0",
-    "babel-preset-stage-1": "^6.16.0",
-    "clean-css": "^3.0.0",
-    "css-loader": "*",
-    "eslint": "^3.15.0",
-    "eslint-plugin-flowtype": "^2.30.0",
-    "eslint-plugin-import": "^2.2.0",
-    "eslint-plugin-jsdoc": "*",
-    "eslint-plugin-react": "*",
-    "eslint-plugin-react-native": "^2.2.1",
+    "babel-core": "6.23.1",
+    "babel-eslint": "7.1.1",
+    "babel-loader": "6.3.2",
+    "babel-polyfill": "6.23.0",
+    "babel-preset-es2015": "6.22.0",
+    "babel-preset-react": "6.23.0",
+    "babel-preset-stage-1": "6.22.0",
+    "clean-css": "3.4.25",
+    "css-loader": "0.26.2",
+    "eslint": "3.16.1",
+    "eslint-plugin-flowtype": "2.30.0",
+    "eslint-plugin-import": "2.2.0",
+    "eslint-plugin-jsdoc": "2.4.0",
+    "eslint-plugin-react": "6.10.0",
+    "eslint-plugin-react-native": "2.2.1",
     "expose-loader": "0.7.1",
-    "file-loader": "^0.10.0",
-    "flow-bin": "^0.37.0",
-    "haste-resolver-webpack-plugin": "^0.2.2",
-    "imports-loader": "*",
+    "file-loader": "0.10.1",
+    "flow-bin": "0.37.4",
+    "haste-resolver-webpack-plugin": "0.2.2",
+    "imports-loader": "0.7.1",
     "jshint": "2.9.4",
     "json-loader": "0.5.4",
-    "node-sass": "^3.8.0",
+    "node-sass": "3.13.1",
     "precommit-hook": "3.0.0",
-    "string-replace-loader": "*",
-    "style-loader": "*",
-    "webpack": "^1.14.0",
-    "webpack-dev-server": "^1.16.2"
+    "string-replace-loader": "1.0.5",
+    "style-loader": "0.13.2",
+    "webpack": "1.14.0",
+    "webpack-dev-server": "1.16.3"
   },
   "license": "Apache-2.0",
   "scripts": {