diff --git a/common.c b/common.c
index e9af5ec..90431dd 100644
--- a/common.c
+++ b/common.c
@@ -62,6 +62,14 @@ void *decode_block_start(off_t block_seek) {
     return bw;
 }
 
+bool is_multi_header(const char *name) {
+    size_t i = strlen(name);
+    while (i != 0 && name[i - 1] != '/')
+        --i;
+    
+    return strncmp(name + i, "._", 2) == 0;
+}
+
 
 #pragma mark INDEX
 
diff --git a/pixz.h b/pixz.h
index f3d3bac..6467ce4 100644
--- a/pixz.h
+++ b/pixz.h
@@ -53,6 +53,7 @@ extern file_index_t *gFileIndex, *gLastFile;
 // As discovered from footer
 extern lzma_check gCheck;
 
+bool is_multi_header(const char *name);
 void decode_index(void);
 
 lzma_vli find_file_index(void **bdatap);
diff --git a/pread.c b/pread.c
index 8fe92f1..b7a6932 100644
--- a/pread.c
+++ b/pread.c
@@ -8,7 +8,6 @@
 /* TODO
  * - Don't read index unless necessary?
  * - Check sizes of files vs index
- * - Allow copyfile multi-headers
  */
 
 #define DEBUG 0
@@ -122,8 +121,10 @@ int main(int argc, char **argv) {
                 fprintf(stderr, "%s\n", archive_error_string(ar));
                 die("Error reading archive entry");
             }
-            
             const char *path = archive_entry_pathname(entry);
+            if (is_multi_header(path))
+                continue;
+            
             size_t size = archive_entry_size(entry);
             if (!w)
                 die("File %s missing in index", path);
@@ -136,6 +137,7 @@ int main(int argc, char **argv) {
         }
         if (w && w->name)
             die("File %s missing in archive", w->name);
+        tar_read(NULL, NULL, NULL); // write whatever's left
     } else {
         pipeline_item_t *pi;
         while ((pi = pipeline_merged())) {
@@ -373,6 +375,7 @@ static ssize_t tar_read(struct archive *ar, void *ref, const void **bufp) {
     if (gArItem) {
         io_block_t *ib = (io_block_t*)(gArItem->data);
         fwrite(ib->output + gArLastOffset, gArLastSize, 1, gOutFile);
+        gArLastSize = 0;
     }
         
     // Write the first wanted file
@@ -383,13 +386,14 @@ static ssize_t tar_read(struct archive *ar, void *ref, const void **bufp) {
     size_t size;
     io_block_t *ib = (io_block_t*)(gArItem->data);
     if (gWantedFiles) {
+        debug("tar want: %s", gArWanted->name);
         off = gArWanted->start - ib->uoffset;
         size = gArWanted->size;
         if (off < 0) {
             size += off;
             off = 0;
         }
-        if (off + size > ib->outsize) {
+        if (off + size >= ib->outsize) {
             size = ib->outsize - off;
             gArNextItem = true; // force the end of this block
         } else {
@@ -399,9 +403,11 @@ static ssize_t tar_read(struct archive *ar, void *ref, const void **bufp) {
         off = 0;
         size = ib->outsize;
     }
+    debug("tar off = %zu, size = %zu", off, size);
     
     gArLastOffset = off;
     gArLastSize = size;
-    *bufp = ib->output + off;
+    if (bufp)
+        *bufp = ib->output + off;
     return size;
 }
diff --git a/write.c b/write.c
index a5b17ad..7409f2d 100644
--- a/write.c
+++ b/write.c
@@ -52,7 +52,6 @@ static void encode_thread(size_t thnum);
 static void *block_create();
 static void block_free(void *data);
 
-static bool is_multi_header(const char *name);
 static void add_file(off_t offset, const char *name);
 
 static archive_read_callback tar_read;
@@ -240,14 +239,6 @@ static int tar_ok(struct archive *ar, void *ref) {
     return ARCHIVE_OK;
 }
 
-static bool is_multi_header(const char *name) {
-    size_t i = strlen(name);
-    while (i != 0 && name[i - 1] != '/')
-        --i;
-    
-    return strncmp(name + i, "._", 2) == 0;
-}
-
 static void add_file(off_t offset, const char *name) {
     if (name && is_multi_header(name)) {
         if (!gMultiHeader)