*** I hit Home button to put app in background:

I/ActivityManager(   60): Starting activity: Intent { act=android.intent.action.MAIN cat=[android.intent.category.HOME] flg=0x10200000 cmp=com.android.launcher/com.android.launcher2.Launcher }
D/TiBaseActivity(  873): (main) [8675,133945] Activity org.appcelerator.titanium.TiActivity@44fb7a28 onPause
D/TiBaseActivity(  873): (main) [468,134413] Activity org.appcelerator.titanium.TiActivity@44fb7a28 onStop

*** I wait over a half hour

*** I select app from launcher to open it again

*** Android chooses to start over with the root activity

I/ActivityManager(   60): Starting activity: Intent { act=android.intent.action.MAIN cat=[android.intent.category.LAUNCHER] flg=0x10200000 cmp=com.appcelerator.theapp/.theappActivity }

*** To do that, it kills off any activities above the root activity

D/TiBaseActivity(  873): (main) [7338,2523059] Activity org.appcelerator.titanium.TiActivity@44fb7a28 onDestroy
E/TiBaseActivity(  873): (main) [2,2523061] Layout cleanup.
D/TiUIView(  873): (main) [2,2523063] Releasing: ti.modules.titanium.ui.widget.TiView@44feb0d8
D/TiUIView(  873): (main) [1,2523064] Group has: 0
D/TiUIView(  873): (main) [0,2523064] Releasing: ti.modules.titanium.ui.widget.TiUILabel@44fe62b8
D/TiUIView(  873): (main) [2,2523066] Releasing: ti.modules.titanium.ui.widget.TiUIButton@44fca400
D/TiUIView(  873): (main) [0,2523066] Releasing: ti.modules.titanium.ui.widget.TiUIButton@44e7e868
D/TiUIView(  873): (main) [44,2523110] Releasing: ti.modules.titanium.ui.widget.TiUITableView@44f5b678
D/TiUIView(  873): (main) [1,2523111] Releasing: ti.modules.titanium.ui.widget.TiView@45608450
D/TiUIView(  873): (main) [3,2523114] Group has: 2
D/TiUIView(  873): (main) [5,2523119] Releasing: ti.modules.titanium.ui.widget.TiView@45608450
D/TiUIView(  873): (main) [4,2523123] Releasing: ti.modules.titanium.ui.widget.TiView@45624c88
D/TiUIView(  873): (main) [5,2523128] Group has: 2
D/TiUIView(  873): (main) [7,2523135] Releasing: ti.modules.titanium.ui.widget.TiView@45624c88
D/TiUIView(  873): (main) [4,2523139] Releasing: ti.modules.titanium.ui.widget.TiView@4563e5a0
D/TiUIView(  873): (main) [4,2523143] Group has: 2
D/TiUIView(  873): (main) [3,2523146] Releasing: ti.modules.titanium.ui.widget.TiView@4563e5a0
D/TiUIView(  873): (main) [9,2523155] Releasing: ti.modules.titanium.ui.TiUIActivityWindow@44f54990
D/TiBaseActivity(  873): (main) [71,2523226] Activity org.appcelerator.titanium.TiActivity@44f50eb0 onDestroy
E/TiBaseActivity(  873): (main) [1,2523227] Layout cleanup.
D/TiUIView(  873): (main) [5,2523232] Releasing: ti.modules.titanium.ui.widget.TiView@44f4b930
D/TiUIView(  873): (main) [5,2523237] Group has: 0
D/TiUIView(  873): (main) [7,2523244] Releasing: ti.modules.titanium.ui.widget.TiUILabel@44f4bbc8
D/TiUIView(  873): (main) [2,2523246] Releasing: ti.modules.titanium.ui.widget.TiUITableView@44f9ae30
D/TiUIView(  873): (main) [5,2523251] Releasing: ti.modules.titanium.ui.widget.TiView@44f51b88
D/TiUIView(  873): (main) [8,2523259] Group has: 3
D/TiUIView(  873): (main) [2,2523261] Releasing: ti.modules.titanium.ui.widget.TiView@44f51b88
D/TiUIView(  873): (main) [4,2523265] Releasing: ti.modules.titanium.ui.widget.TiView@44fb61b8
D/TiUIView(  873): (main) [1,2523266] Group has: 3
D/TiUIView(  873): (main) [5,2523271] Releasing: ti.modules.titanium.ui.widget.TiView@44fb61b8
D/TiUIView(  873): (main) [4,2523275] Releasing: ti.modules.titanium.ui.widget.TiView@44f604c0
D/TiUIView(  873): (main) [4,2523279] Group has: 3
D/TiUIView(  873): (main) [1,2523280] Releasing: ti.modules.titanium.ui.widget.TiView@44f604c0
D/TiUIView(  873): (main) [4,2523284] Releasing: ti.modules.titanium.ui.widget.TiView@44ed1fd0
D/TiUIView(  873): (main) [1,2523285] Group has: 3
D/TiUIView(  873): (main) [6,2523291] Releasing: ti.modules.titanium.ui.widget.TiView@44ed1fd0
D/TiUIView(  873): (main) [4,2523295] Releasing: ti.modules.titanium.ui.widget.TiView@44edc130
D/TiUIView(  873): (main) [1,2523296] Group has: 1
D/TiUIView(  873): (main) [3,2523299] Releasing: ti.modules.titanium.ui.widget.TiUIScrollView@44f21628
D/TiUIView(  873): (main) [1,2523300] Group has: 1
D/TiUIView(  873): (main) [1,2523301] Releasing: ti.modules.titanium.ui.TiUIActivityWindow@44f91f50

*** Then the root activity is started via onRestart -> onStart -> onResume
D/TiLaunchActivity(  873): (main) [51,2523352] onRestart
D/TiBaseActivity(  873): (main) [20,2523372] Activity com.appcelerator.theapp.theappActivity@44ec9430 onRestart
D/TiBaseActivity(  873): (main) [26,2523398] Activity com.appcelerator.theapp.theappActivity@44ec9430 onStart
I/TiRootActivity(  873): (main) [0,0] checkpoint, on root activity resume. activity = com.appcelerator.theapp.theappActivity@44ec9430
D/TiBaseActivity(  873): (main) [0,0] Activity com.appcelerator.theapp.theappActivity@44ec9430 onResume
I/ActivityManager(   60): Displayed activity com.appcelerator.theapp/.theappActivity: 2532625 ms (total 2532625 ms)

*** Root activity now displayed (it has only the splash screen)