diff --git a/cache.h b/cache.h
index 587512747b..653c36d0b7 100644
--- a/cache.h
+++ b/cache.h
@@ -1269,8 +1269,8 @@ extern char *xdg_cache_home(const char *filename);
 
 extern int git_open_cloexec(const char *name, int flags);
 #define git_open(name) git_open_cloexec(name, O_RDONLY)
-extern int unpack_sha1_header(git_zstream *stream, unsigned char *map, unsigned long mapsize, void *buffer, unsigned long bufsiz);
-extern int parse_sha1_header(const char *hdr, unsigned long *sizep);
+extern int unpack_loose_header(git_zstream *stream, unsigned char *map, unsigned long mapsize, void *buffer, unsigned long bufsiz);
+extern int parse_loose_header(const char *hdr, unsigned long *sizep);
 
 extern int check_object_signature(const struct object_id *oid, void *buf, unsigned long size, const char *type);
 
diff --git a/sha1-file.c b/sha1-file.c
index cd8e5f005a..4938258ed1 100644
--- a/sha1-file.c
+++ b/sha1-file.c
@@ -976,9 +976,9 @@ void *map_loose_object(struct repository *r,
 	return map_loose_object_1(r, NULL, oid, size);
 }
 
-static int unpack_sha1_short_header(git_zstream *stream,
-				    unsigned char *map, unsigned long mapsize,
-				    void *buffer, unsigned long bufsiz)
+static int unpack_loose_short_header(git_zstream *stream,
+				     unsigned char *map, unsigned long mapsize,
+				     void *buffer, unsigned long bufsiz)
 {
 	/* Get the data stream */
 	memset(stream, 0, sizeof(*stream));
@@ -991,12 +991,12 @@ static int unpack_sha1_short_header(git_zstream *stream,
 	return git_inflate(stream, 0);
 }
 
-int unpack_sha1_header(git_zstream *stream,
-		       unsigned char *map, unsigned long mapsize,
-		       void *buffer, unsigned long bufsiz)
+int unpack_loose_header(git_zstream *stream,
+			unsigned char *map, unsigned long mapsize,
+			void *buffer, unsigned long bufsiz)
 {
-	int status = unpack_sha1_short_header(stream, map, mapsize,
-					      buffer, bufsiz);
+	int status = unpack_loose_short_header(stream, map, mapsize,
+					       buffer, bufsiz);
 
 	if (status < Z_OK)
 		return status;
@@ -1007,13 +1007,13 @@ int unpack_sha1_header(git_zstream *stream,
 	return 0;
 }
 
-static int unpack_sha1_header_to_strbuf(git_zstream *stream, unsigned char *map,
-					unsigned long mapsize, void *buffer,
-					unsigned long bufsiz, struct strbuf *header)
+static int unpack_loose_header_to_strbuf(git_zstream *stream, unsigned char *map,
+					 unsigned long mapsize, void *buffer,
+					 unsigned long bufsiz, struct strbuf *header)
 {
 	int status;
 
-	status = unpack_sha1_short_header(stream, map, mapsize, buffer, bufsiz);
+	status = unpack_loose_short_header(stream, map, mapsize, buffer, bufsiz);
 	if (status < Z_OK)
 		return -1;
 
@@ -1043,7 +1043,9 @@ static int unpack_sha1_header_to_strbuf(git_zstream *stream, unsigned char *map,
 	return -1;
 }
 
-static void *unpack_sha1_rest(git_zstream *stream, void *buffer, unsigned long size, const unsigned char *sha1)
+static void *unpack_loose_rest(git_zstream *stream,
+			       void *buffer, unsigned long size,
+			       const struct object_id *oid)
 {
 	int bytes = strlen(buffer) + 1;
 	unsigned char *buf = xmallocz(size);
@@ -1080,10 +1082,10 @@ static void *unpack_sha1_rest(git_zstream *stream, void *buffer, unsigned long s
 	}
 
 	if (status < 0)
-		error(_("corrupt loose object '%s'"), sha1_to_hex(sha1));
+		error(_("corrupt loose object '%s'"), oid_to_hex(oid));
 	else if (stream->avail_in)
 		error(_("garbage at end of loose object '%s'"),
-		      sha1_to_hex(sha1));
+		      oid_to_hex(oid));
 	free(buf);
 	return NULL;
 }
@@ -1093,8 +1095,8 @@ static void *unpack_sha1_rest(git_zstream *stream, void *buffer, unsigned long s
  * too permissive for what we want to check. So do an anal
  * object header parse by hand.
  */
-static int parse_sha1_header_extended(const char *hdr, struct object_info *oi,
-			       unsigned int flags)
+static int parse_loose_header_extended(const char *hdr, struct object_info *oi,
+				       unsigned int flags)
 {
 	const char *type_buf = hdr;
 	unsigned long size;
@@ -1154,12 +1156,12 @@ static int parse_sha1_header_extended(const char *hdr, struct object_info *oi,
 	return *hdr ? -1 : type;
 }
 
-int parse_sha1_header(const char *hdr, unsigned long *sizep)
+int parse_loose_header(const char *hdr, unsigned long *sizep)
 {
 	struct object_info oi = OBJECT_INFO_INIT;
 
 	oi.sizep = sizep;
-	return parse_sha1_header_extended(hdr, &oi, 0);
+	return parse_loose_header_extended(hdr, &oi, 0);
 }
 
 static int loose_object_info(struct repository *r,
@@ -1207,24 +1209,24 @@ static int loose_object_info(struct repository *r,
 	if (oi->disk_sizep)
 		*oi->disk_sizep = mapsize;
 	if ((flags & OBJECT_INFO_ALLOW_UNKNOWN_TYPE)) {
-		if (unpack_sha1_header_to_strbuf(&stream, map, mapsize, hdr, sizeof(hdr), &hdrbuf) < 0)
+		if (unpack_loose_header_to_strbuf(&stream, map, mapsize, hdr, sizeof(hdr), &hdrbuf) < 0)
 			status = error(_("unable to unpack %s header with --allow-unknown-type"),
 				       oid_to_hex(oid));
-	} else if (unpack_sha1_header(&stream, map, mapsize, hdr, sizeof(hdr)) < 0)
+	} else if (unpack_loose_header(&stream, map, mapsize, hdr, sizeof(hdr)) < 0)
 		status = error(_("unable to unpack %s header"),
 			       oid_to_hex(oid));
 	if (status < 0)
 		; /* Do nothing */
 	else if (hdrbuf.len) {
-		if ((status = parse_sha1_header_extended(hdrbuf.buf, oi, flags)) < 0)
+		if ((status = parse_loose_header_extended(hdrbuf.buf, oi, flags)) < 0)
 			status = error(_("unable to parse %s header with --allow-unknown-type"),
 				       oid_to_hex(oid));
-	} else if ((status = parse_sha1_header_extended(hdr, oi, flags)) < 0)
+	} else if ((status = parse_loose_header_extended(hdr, oi, flags)) < 0)
 		status = error(_("unable to parse %s header"), oid_to_hex(oid));
 
 	if (status >= 0 && oi->contentp) {
-		*oi->contentp = unpack_sha1_rest(&stream, hdr,
-						 *oi->sizep, oid->hash);
+		*oi->contentp = unpack_loose_rest(&stream, hdr,
+						  *oi->sizep, oid);
 		if (!*oi->contentp) {
 			git_inflate_end(&stream);
 			status = -1;
@@ -2189,14 +2191,14 @@ void odb_clear_loose_cache(struct object_directory *odb)
 	       sizeof(odb->loose_objects_subdir_seen));
 }
 
-static int check_stream_sha1(git_zstream *stream,
-			     const char *hdr,
-			     unsigned long size,
-			     const char *path,
-			     const unsigned char *expected_sha1)
+static int check_stream_oid(git_zstream *stream,
+			    const char *hdr,
+			    unsigned long size,
+			    const char *path,
+			    const struct object_id *expected_oid)
 {
 	git_hash_ctx c;
-	unsigned char real_sha1[GIT_MAX_RAWSZ];
+	struct object_id real_oid;
 	unsigned char buf[4096];
 	unsigned long total_read;
 	int status = Z_OK;
@@ -2212,7 +2214,7 @@ static int check_stream_sha1(git_zstream *stream,
 
 	/*
 	 * This size comparison must be "<=" to read the final zlib packets;
-	 * see the comment in unpack_sha1_rest for details.
+	 * see the comment in unpack_loose_rest for details.
 	 */
 	while (total_read <= size &&
 	       (status == Z_OK ||
@@ -2228,19 +2230,19 @@ static int check_stream_sha1(git_zstream *stream,
 	git_inflate_end(stream);
 
 	if (status != Z_STREAM_END) {
-		error(_("corrupt loose object '%s'"), sha1_to_hex(expected_sha1));
+		error(_("corrupt loose object '%s'"), oid_to_hex(expected_oid));
 		return -1;
 	}
 	if (stream->avail_in) {
 		error(_("garbage at end of loose object '%s'"),
-		      sha1_to_hex(expected_sha1));
+		      oid_to_hex(expected_oid));
 		return -1;
 	}
 
-	the_hash_algo->final_fn(real_sha1, &c);
-	if (!hasheq(expected_sha1, real_sha1)) {
+	the_hash_algo->final_fn(real_oid.hash, &c);
+	if (!oideq(expected_oid, &real_oid)) {
 		error(_("sha1 mismatch for %s (expected %s)"), path,
-		      sha1_to_hex(expected_sha1));
+		      oid_to_hex(expected_oid));
 		return -1;
 	}
 
@@ -2267,12 +2269,12 @@ int read_loose_object(const char *path,
 		goto out;
 	}
 
-	if (unpack_sha1_header(&stream, map, mapsize, hdr, sizeof(hdr)) < 0) {
+	if (unpack_loose_header(&stream, map, mapsize, hdr, sizeof(hdr)) < 0) {
 		error(_("unable to unpack header of %s"), path);
 		goto out;
 	}
 
-	*type = parse_sha1_header(hdr, size);
+	*type = parse_loose_header(hdr, size);
 	if (*type < 0) {
 		error(_("unable to parse header of %s"), path);
 		git_inflate_end(&stream);
@@ -2280,10 +2282,10 @@ int read_loose_object(const char *path,
 	}
 
 	if (*type == OBJ_BLOB && *size > big_file_threshold) {
-		if (check_stream_sha1(&stream, hdr, *size, path, expected_oid->hash) < 0)
+		if (check_stream_oid(&stream, hdr, *size, path, expected_oid) < 0)
 			goto out;
 	} else {
-		*contents = unpack_sha1_rest(&stream, hdr, *size, expected_oid->hash);
+		*contents = unpack_loose_rest(&stream, hdr, *size, expected_oid);
 		if (!*contents) {
 			error(_("unable to unpack contents of %s"), path);
 			git_inflate_end(&stream);
diff --git a/streaming.c b/streaming.c
index 9049146bc1..998e6285d7 100644
--- a/streaming.c
+++ b/streaming.c
@@ -342,12 +342,12 @@ static open_method_decl(loose)
 					      oid, &st->u.loose.mapsize);
 	if (!st->u.loose.mapped)
 		return -1;
-	if ((unpack_sha1_header(&st->z,
-				st->u.loose.mapped,
-				st->u.loose.mapsize,
-				st->u.loose.hdr,
-				sizeof(st->u.loose.hdr)) < 0) ||
-	    (parse_sha1_header(st->u.loose.hdr, &st->size) < 0)) {
+	if ((unpack_loose_header(&st->z,
+				 st->u.loose.mapped,
+				 st->u.loose.mapsize,
+				 st->u.loose.hdr,
+				 sizeof(st->u.loose.hdr)) < 0) ||
+	    (parse_loose_header(st->u.loose.hdr, &st->size) < 0)) {
 		git_inflate_end(&st->z);
 		munmap(st->u.loose.mapped, st->u.loose.mapsize);
 		return -1;
