All strings tuned down one whole step:

 d|-
 a|-
 f|-
 c|-
 g|-
 D|-

 Riff 1:
 d|----------
 a|-12/15/10-
 f|--x/-x/-x-
 c|-12/15/10-
 g|----------
 D|----------
 Play 15 times, but on the 15th one, skip the last chord and go straight to riff 2

 Riff 2:
 d|--------------------------
 a|-3----/5----/1-----(h)0---
 f|-x----/x----/x--------x---
 c|-3----/5----/1-----(h)0---
 g|--------------------------
 D|--------------------------
 Play twice

 Riff 3:
 Guitar 1: 
 d|-------------------------------------------------------------
 a|-3-3-3-3-/5-5-5-5-/1-1-1-1--0-0-0-0---3-3-3-3-/5-5-5-5-/1--0-
 f|-------------------------------------------------------------
 c|--3-3-3-3/-5-5-5-5/-1-1-1-1--0-0-0-0---3-3-3-3/-5-5-5-5/-----
 g|-------------------------------------------------------------
 D|-------------------------------------------------------------

 Then guitar 1 plays riff one 8 times with effects/distortion, while guitar 2 plays 4 times, 
 then below with string pulls and a lot of effects/distortion.
 d|-------------
 a|-----5-------
 f|-2--/4--/2---
 c|-x--/x--/x---
 g|-3--/5--/3---
 D|-------------

 d|-7777-10-7-5--7777-10-7-5--7777-10-7-5--7-5-7-5-7-5-7

 Then guitar one plays riff 2 again and riff 3, but on the end, play below instead of 0.
 d|---
 a|-1-
 f|-x-
 c|-0-
 g|---
 D|---

 Then palm mute this, except at the end where you pull the strings with a lot of distorion.
 d|--------------------------
 a|--------------------------
 f|-2-2--22-2--22-2--22-2--2-
 c|-x-x--xx-x--xx-x--xx-x--x-
 g|-3-3--33-3--33-3--33-3--3-
 D|--------------------------
                          ^pull with distortion
 Then play:
 d|------------------------
 a|------------------5-5-5-
 f|-2-2--22-2--22-2--4-4-4-
 c|-x-x--xx-x--xx-x--x-x-x-
 g|-3-3--33-3--33-3--5-5-5-
 D|------------------------
 Guitar one plays this 8 times and guitar 2 plays it 4 times and then plays below
 d|-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5--------
 a|-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5-(h)5--5-5-5-
 f|--------------------------------------------------------------4-4-4-
 c|--------------------------------------------------------------x-x-x-
 g|--------------------------------------------------------------5-5-5-
 D|--------------------------------------------------------------------
 Play 4 times


 Both play this at the end:
 d|-----
 a|-----
 f|-2-2-
 c|-x-x-
 g|-3-3-
 D|-----

 Add some cello, bass, and a little drums, and you can play "Sink to the Beat". The cello and bass may have thrown off the notes a bit, but I'd say it's pretty accurate. If you search google for "cursive tabs forums" or something along the lines of that and/or go to the official site (cursivearmy.com) and search the forums for tabs you can get soem more, but this i did myself. have fun