Setup originally from http://tinsuke.wordpress.com/2011/11/01/how-to-compile-and-use-tesseract-3-01-on-ios-sdk-5 and then using the iOS 6 script(https://gist.github.com/ldiqual/3763217) with a few modifications

Compile Tesseract 3.03 - Leptonica 1.70 for iOS 7 and Xcode 5.0.2 on Mavericks OS X(10.9)

#!/bin/sh

GLOBAL_OUTDIR="`pwd`/dependencies"
LOCAL_OUTDIR="./outdir"
LEPTON_LIB="`pwd`/leptonica-1.70"
TESSERACT_LIB="`pwd`/tesseract-3.03"

IOS_BASE_SDK="7.0"
IOS_DEPLOY_TGT="7.0"

export CXX=`xcrun -find c++`
export CC=`xcrun -find cc`

export LD=`xcrun -find ld`
export AR=`xcrun -find ar`
export AS=`xcrun -find as`
export NM=`xcrun -find nm`
export RANLIB=`xcrun -find ranlib`

XCODE_DEVELOPER_PATH=/Applications/Xcode.app/Contents/Developer
XCODETOOLCHAIN_PATH=$XCODE_DEVELOPER_PATH/Toolchains/XcodeDefault.xctoolchain
SDK_IPHONEOS_PATH=$(xcrun --sdk iphoneos --show-sdk-path)
SDK_IPHONESIMULATOR_PATH=$(xcrun --sdk iphonesimulator --show-sdk-path)

export PATH="$XCODETOOLCHAIN_PATH/usr/bin:$PATH"

declare -a archs
archs=(arm7 arm7s arm64 i386 x86_64)

declare -a arch_name
arch_names=(arm-apple-darwin7 arm-apple-darwin7s arm-apple-darwin64 i386-apple-darwin x86_64-apple-darwin)

setenv_all() {
    # Add internal libs
    export CFLAGS="$CFLAGS -I$GLOBAL_OUTDIR/include -L$GLOBAL_OUTDIR/lib"
    
    export LDFLAGS="-L$SDKROOT/usr/lib/"
    
    export CPPFLAGS=$CFLAGS
    export CXXFLAGS=$CFLAGS
}

setenv_arm7() {
    unset DEVROOT SDKROOT CFLAGS CPP CXXCPP LDFLAGS CPPFLAGS CXXFLAGS
    
    export SDKROOT=$SDK_IPHONEOS_PATH
    
    export CFLAGS="-arch armv7 -pipe -no-cpp-precomp -isysroot $SDKROOT -miphoneos-version-min=$IOS_DEPLOY_TGT -I$SDKROOT/usr/include/"
    
    setenv_all
}

setenv_arm7s() {
    unset DEVROOT SDKROOT CFLAGS CPP CXXCPP LDFLAGS CPPFLAGS CXXFLAGS
    
    export SDKROOT=$SDK_IPHONEOS_PATH
    
    export CFLAGS="-arch armv7s -pipe -no-cpp-precomp -isysroot $SDKROOT -miphoneos-version-min=$IOS_DEPLOY_TGT -I$SDKROOT/usr/include/"
    
    setenv_all
}

setenv_arm64() {
    unset DEVROOT SDKROOT CFLAGS CPP CXXCPP LDFLAGS CPPFLAGS CXXFLAGS
    
    export SDKROOT=$SDK_IPHONEOS_PATH
    
    export CFLAGS="-arch arm64 -pipe -no-cpp-precomp -isysroot $SDKROOT -miphoneos-version-min=$IOS_DEPLOY_TGT -I$SDKROOT/usr/include/"
    
    setenv_all
}

setenv_i386() {
    unset DEVROOT SDKROOT CFLAGS CPP CXXCPP LDFLAGS CPPFLAGS CXXFLAGS
    
    export SDKROOT=$SDK_IPHONESIMULATOR_PATH
    
    export CFLAGS="-arch i386 -pipe -no-cpp-precomp -isysroot $SDKROOT -miphoneos-version-min=$IOS_DEPLOY_TGT"
    
    setenv_all
}

setenv_x86_64() {
    unset DEVROOT SDKROOT CFLAGS CPP CXXCPP LDFLAGS CPPFLAGS CXXFLAGS
    
    export SDKROOT=$SDK_IPHONESIMULATOR_PATH
    
    export CFLAGS="-arch x86_64 -pipe -no-cpp-precomp -isysroot $SDKROOT -miphoneos-version-min=$IOS_DEPLOY_TGT"
    
    setenv_all
}

create_outdir_lipo() {
    for file in `find $LOCAL_OUTDIR/i386 -name "lib*.a"`; do
        lib_arm7=`echo $file | sed "s/i386/arm7/g"`
        lib_arm7s=`echo $file | sed "s/i386/arm7s/g"`
        lib_arm64=`echo $file | sed "s/i386/arm64/g"`
        lib_x86_64=`echo $file | sed "s/i386/x86_64/g"`
        lib_i386=`echo $file`
        lib=`echo $file | sed "s/i386//g"`
        xcrun -sdk iphoneos lipo -arch armv7s $lib_arm7s -arch armv7 $lib_arm7 -arch arm64 $lib_arm64 -arch i386 $lib_i386 -create -output $lib
    done
}

merge_libfiles() {
    DIR=$1
    LIBNAME=$2
    
    cd $DIR
    for i in `find . -name "lib*.a"`; do
        $AR -x $i
    done
    $AR -r $LIBNAME *.o
    rm -rf *.o __*
    cd -
}


#######################
# LEPTONLIB
#######################
cd $LEPTON_LIB
rm -rf $LOCAL_OUTDIR

for n in "${!archs[@]}"
do
    mkdir -p "$LOCAL_OUTDIR/${archs[$n]}"
    make clean 2> /dev/null
    make distclean 2> /dev/null
    eval "setenv_${archs[$n]}"
    ./configure --host="${arch_names[$n]}" --enable-shared=no --disable-programs --without-zlib --without-libpng --without-jpeg --without-giflib --without-libtiff
    make -j12
    cp -rvf src/.libs/lib*.a "$LOCAL_OUTDIR/${archs[$n]}"
done

create_outdir_lipo
mkdir -p $GLOBAL_OUTDIR/include/leptonica && find ./ -name '*.h' -exec cp {} $GLOBAL_OUTDIR/include/leptonica/  \;
mkdir -p $GLOBAL_OUTDIR/lib && cp -rvf $LOCAL_OUTDIR/lib*.a $GLOBAL_OUTDIR/lib
cd ..


#######################
# TESSERACT-OCR
#######################
cd $TESSERACT_LIB
rm -rf $LOCAL_OUTDIR

for n in "${!archs[@]}"
do
    mkdir -p "$LOCAL_OUTDIR/${archs[$n]}"
    make clean 2> /dev/null
    make distclean 2> /dev/null
    eval "setenv_${archs[$n]}"
    bash autogen.sh
    ./configure --host="${arch_names[$n]}" --enable-shared=no LIBLEPT_HEADERSDIR=$GLOBAL_OUTDIR/include/
    make -j12
    for i in `find . -name "lib*.a" | grep -v arm`; do cp -rvf $i "$LOCAL_OUTDIR/${archs[$n]}"; done
    merge_libfiles "$LOCAL_OUTDIR/${archs[$n]}" libtesseract_all.a
done

create_outdir_lipo

mkdir -p $GLOBAL_OUTDIR/include/tesseract && find ./ -name '*.h' -exec cp {} $GLOBAL_OUTDIR/include/tesseract/  \;
mkdir -p $GLOBAL_OUTDIR/lib && cp -rvf $LOCAL_OUTDIR/lib*.a $GLOBAL_OUTDIR/lib
make clean 2> /dev/null
make distclean 2> /dev/null
cd ..

echo "Finished!"

Sorry for the super late reply. It builds each individually and then combines them into one big lib to be included in your app.

Thanks so much for your work on this, @williamsodell. I was able to add support for x86_64 in my fork. The only change that was needed was on the inverted grep command in line 157 above; it was causing the i386 libs to be copied into the x86_64 directory, which caused the x86_64 merge_libfiles call to fail. This has allowed us to upgrade Tesseract-OCR-iOS to Tesseract 3.03. 😄