[Verizon Samsung Galaxy S 4] vacaloca:
OP (or someone else) should create/upload an Odin flashable .tar.md5 of both modem.bin and non-HLOS.bin (after testing). Here is info/instructions:

http://www.sxtpdevelopers.com/showthread.php?t=155

I'm not sure which file should go first in the .tar.md5 file, as order apparently matters.

http://xdaforums.com/showthread.php?t=2278152 seems to imply NON-HLOS.bin should go first.

Edit 1: Yes, non-HLOS.bin goes first. See PIT directly from my SCH-I545 while still on MDK captured by Heimdall:

Heimdall v1.4.0

Copyright (c) 2010-2013, Benjamin Dobell, Glass Echidna
http://www.glassechidna.com.au/

This software is provided free of charge. Copying and redistribution is
encouraged.

If you appreciate this software and you would like to support future
development please consider donating:
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Initialising connection...
Detecting device...
Manufacturer: "Sasmsung"
Product: "MSM8960"

length: 18
device class: 2
S/N: 0
VID:PID: 04E8:685D
bcdDevice: 0100
iMan:iProd:iSer: 1:2:0
nb confs: 1

interface[0].altsetting[0]: num endpoints = 1
Class.SubClass.Protocol: 02.02.01
endpoint[0].address: 82
max packet size: 0010
polling interval: 09

interface[1].altsetting[0]: num endpoints = 2
Class.SubClass.Protocol: 0A.00.00
endpoint[0].address: 81
max packet size: 0200
polling interval: 00
endpoint[1].address: 01
max packet size: 0200
polling interval: 00
Claiming interface...
Setting up interface...

Beginning session...

Some devices may take up to 2 minutes to respond.
Please be patient!

Session begun.

Downloading device's PIT file...
PIT file download successful.

Entry Count: 33
Unknown 1: 1598902083
Unknown 2: 844251476
Unknown 3: 21325
Unknown 4: 14413
Unknown 5: 13881
Unknown 6: 48
Unknown 7: 0
Unknown 8: 0

--- Entry #0 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 1
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 8192
Partition Block Count: 25544
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: APNHLOS
Flash Filename: NON-HLOS.bin
FOTA Filename:

--- Entry #1 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 2
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 33736
Partition Block Count: 105528
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: MDM
Flash Filename: modem.bin
FOTA Filename:

--- Entry #2 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 3
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 139264
Partition Block Count: 256
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SBL1
Flash Filename: sbl1.mbn
FOTA Filename:

--- Entry #3 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 4
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 139520
Partition Block Count: 512
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SBL2
Flash Filename: sbl2.mbn
FOTA Filename:

--- Entry #4 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 5
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 140032
Partition Block Count: 1024
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SBL3
Flash Filename: sbl3.mbn
FOTA Filename:

--- Entry #5 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 6
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 141056
Partition Block Count: 4096
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: ABOOT
Flash Filename: aboot.mbn
FOTA Filename:

--- Entry #6 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 7
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 145152
Partition Block Count: 1024
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: RPM
Flash Filename: rpm.mbn
FOTA Filename:

--- Entry #7 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 8
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 146176
Partition Block Count: 1024
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: TZ
Flash Filename: tz.mbn
FOTA Filename:

--- Entry #8 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 9
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 147200
Partition Block Count: 33792
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PAD
Flash Filename:
FOTA Filename:

--- Entry #9 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 10
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 180992
Partition Block Count: 27904
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: EFS
Flash Filename: efs.img.ext4
FOTA Filename:

--- Entry #10 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 11
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 208896
Partition Block Count: 6144
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: MODEMST1
Flash Filename: nvrebuild1.bin
FOTA Filename:

--- Entry #11 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 12
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 215040
Partition Block Count: 6144
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: MODEMST2
Flash Filename: nvrebuild2.bin
FOTA Filename:

--- Entry #12 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 13
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 221184
Partition Block Count: 1560
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: M9KEFS1
Flash Filename: m9kefs1.bin
FOTA Filename:

--- Entry #13 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 14
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 222744
Partition Block Count: 1560
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: M9KEFS2
Flash Filename: m9kefs2.bin
FOTA Filename:

--- Entry #14 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 15
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 224304
Partition Block Count: 1560
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: M9KEFS3
Flash Filename: m9kefs3.bin
FOTA Filename:

--- Entry #15 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 16
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 225864
Partition Block Count: 5652480
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SYSTEM
Flash Filename: system.img.ext4
FOTA Filename:

--- Entry #16 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 17
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 5878344
Partition Block Count: 16384
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PERSIST
Flash Filename:
FOTA Filename:

--- Entry #17 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 18
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 5894728
Partition Block Count: 4239360
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: CACHE
Flash Filename: cache.img.ext4
FOTA Filename:

--- Entry #18 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 19
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10134088
Partition Block Count: 12288
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PARAM
Flash Filename: param.lfs
FOTA Filename:

--- Entry #19 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 20
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10146376
Partition Block Count: 20480
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: BOOT
Flash Filename: boot.img
FOTA Filename:

--- Entry #20 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 21
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10166856
Partition Block Count: 20480
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: RECOVERY
Flash Filename: recovery.img
FOTA Filename:

--- Entry #21 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 22
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10187336
Partition Block Count: 20480
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: FOTA
Flash Filename:
FOTA Filename:

--- Entry #22 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 23
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10207816
Partition Block Count: 12288
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: BACKUP
Flash Filename:
FOTA Filename:

--- Entry #23 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 24
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10220104
Partition Block Count: 6144
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: FSG
Flash Filename:
FOTA Filename:

--- Entry #24 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 25
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 10226248
Partition Block Count: 16
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SSD
Flash Filename:
FOTA Filename:

--- Entry #25 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 26
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 10226264
Partition Block Count: 18432
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PERSDATA
Flash Filename: persdata.img.ext4
FOTA Filename:

--- Entry #26 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 27
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 10244696
Partition Block Count: 40960
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: HIDDEN
Flash Filename: hidden.img.ext4
FOTA Filename:

--- Entry #27 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 28
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 10285656
Partition Block Count: 40960
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: CARRIER
Flash Filename: carrier.img.ext4
FOTA Filename:

--- Entry #28 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 29
Attributes: 5 (Read/Write)
Update Attributes: 5 (FOTA)
Partition Block Size/Offset: 10326616
Partition Block Count: 0
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: USERDATA
Flash Filename: userdata.img.ext4
FOTA Filename: remained

--- Entry #29 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 70
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 0
Partition Block Count: 34
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PGPT
Flash Filename: pgpt.img
FOTA Filename:

--- Entry #30 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 71
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 34
Partition Block Count: 16
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: PIT
Flash Filename: MSM8960.pit
FOTA Filename:

--- Entry #31 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 72
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 50
Partition Block Count: 32
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: MD5
Flash Filename: md5.img
FOTA Filename:

--- Entry #32 ---
Binary Type: 0 (AP)
Device Type: 2 (MMC)
Identifier: 73
Attributes: 5 (Read/Write)
Update Attributes: 1 (FOTA)
Partition Block Size/Offset: 30777311
Partition Block Count: 33
File Offset (Obsolete): 0
File Size (Obsolete): 0
Partition Name: SGPT
Flash Filename: sgpt.img
FOTA Filename:

Ending session...
Releasing device interface...