diff --git a/builtin/rev-parse.c b/builtin/rev-parse.c
index fde8861ca4..43e9676540 100644
--- a/builtin/rev-parse.c
+++ b/builtin/rev-parse.c
@@ -882,7 +882,7 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 				continue;
 			}
 			if (skip_prefix(arg, "--disambiguate=", &arg)) {
-				repo_for_each_abbrev(the_repository, arg,
+				repo_for_each_abbrev(the_repository, arg, the_hash_algo,
 						     show_abbrev, NULL);
 				continue;
 			}
diff --git a/hash-ll.h b/hash-ll.h
index 10d84cc208..2cfde63ae1 100644
--- a/hash-ll.h
+++ b/hash-ll.h
@@ -145,6 +145,7 @@ struct object_id {
 #define GET_OID_RECORD_PATH     0200
 #define GET_OID_ONLY_TO_DIE    04000
 #define GET_OID_REQUIRE_PATH  010000
+#define GET_OID_HASH_ANY      020000
 
 #define GET_OID_DISAMBIGUATORS \
 	(GET_OID_COMMIT | GET_OID_COMMITTISH | \
diff --git a/object-name.c b/object-name.c
index 0bfa29dbbf..7dd6e5e475 100644
--- a/object-name.c
+++ b/object-name.c
@@ -25,6 +25,7 @@
 #include "midx.h"
 #include "commit-reach.h"
 #include "date.h"
+#include "object-file-convert.h"
 
 static int get_oid_oneline(struct repository *r, const char *, struct object_id *, struct commit_list *);
 
@@ -49,6 +50,7 @@ struct disambiguate_state {
 
 static void update_candidates(struct disambiguate_state *ds, const struct object_id *current)
 {
+	/* The hash algorithm of current has already been filtered */
 	if (ds->always_call_fn) {
 		ds->ambiguous = ds->fn(ds->repo, current, ds->cb_data) ? 1 : 0;
 		return;
@@ -134,6 +136,8 @@ static void unique_in_midx(struct multi_pack_index *m,
 {
 	uint32_t num, i, first = 0;
 	const struct object_id *current = NULL;
+	int len = ds->len > ds->repo->hash_algo->hexsz ?
+		ds->repo->hash_algo->hexsz : ds->len;
 	num = m->num_objects;
 
 	if (!num)
@@ -149,7 +153,7 @@ static void unique_in_midx(struct multi_pack_index *m,
 	for (i = first; i < num && !ds->ambiguous; i++) {
 		struct object_id oid;
 		current = nth_midxed_object_oid(&oid, m, i);
-		if (!match_hash(ds->len, ds->bin_pfx.hash, current->hash))
+		if (!match_hash(len, ds->bin_pfx.hash, current->hash))
 			break;
 		update_candidates(ds, current);
 	}
@@ -159,6 +163,8 @@ static void unique_in_pack(struct packed_git *p,
 			   struct disambiguate_state *ds)
 {
 	uint32_t num, i, first = 0;
+	int len = ds->len > ds->repo->hash_algo->hexsz ?
+		ds->repo->hash_algo->hexsz : ds->len;
 
 	if (p->multi_pack_index)
 		return;
@@ -177,7 +183,7 @@ static void unique_in_pack(struct packed_git *p,
 	for (i = first; i < num && !ds->ambiguous; i++) {
 		struct object_id oid;
 		nth_packed_object_id(&oid, p, i);
-		if (!match_hash(ds->len, ds->bin_pfx.hash, oid.hash))
+		if (!match_hash(len, ds->bin_pfx.hash, oid.hash))
 			break;
 		update_candidates(ds, &oid);
 	}
@@ -188,6 +194,10 @@ static void find_short_packed_object(struct disambiguate_state *ds)
 	struct multi_pack_index *m;
 	struct packed_git *p;
 
+	/* Skip, unless oids from the storage hash algorithm are wanted */
+	if (ds->bin_pfx.algo && (&hash_algos[ds->bin_pfx.algo] != ds->repo->hash_algo))
+		return;
+
 	for (m = get_multi_pack_index(ds->repo); m && !ds->ambiguous;
 	     m = m->next)
 		unique_in_midx(m, ds);
@@ -326,11 +336,12 @@ int set_disambiguate_hint_config(const char *var, const char *value)
 
 static int init_object_disambiguation(struct repository *r,
 				      const char *name, int len,
+				      const struct git_hash_algo *algo,
 				      struct disambiguate_state *ds)
 {
 	int i;
 
-	if (len < MINIMUM_ABBREV || len > the_hash_algo->hexsz)
+	if (len < MINIMUM_ABBREV || len > GIT_MAX_HEXSZ)
 		return -1;
 
 	memset(ds, 0, sizeof(*ds));
@@ -357,6 +368,7 @@ static int init_object_disambiguation(struct repository *r,
 	ds->len = len;
 	ds->hex_pfx[len] = '\0';
 	ds->repo = r;
+	ds->bin_pfx.algo = algo ? hash_algo_by_ptr(algo) : GIT_HASH_UNKNOWN;
 	prepare_alt_odb(r);
 	return 0;
 }
@@ -491,9 +503,10 @@ static int repo_collect_ambiguous(struct repository *r UNUSED,
 	return collect_ambiguous(oid, data);
 }
 
-static int sort_ambiguous(const void *a, const void *b, void *ctx)
+static int sort_ambiguous(const void *va, const void *vb, void *ctx)
 {
 	struct repository *sort_ambiguous_repo = ctx;
+	const struct object_id *a = va, *b = vb;
 	int a_type = oid_object_info(sort_ambiguous_repo, a, NULL);
 	int b_type = oid_object_info(sort_ambiguous_repo, b, NULL);
 	int a_type_sort;
@@ -503,8 +516,12 @@ static int sort_ambiguous(const void *a, const void *b, void *ctx)
 	 * Sorts by hash within the same object type, just as
 	 * oid_array_for_each_unique() would do.
 	 */
-	if (a_type == b_type)
-		return oidcmp(a, b);
+	if (a_type == b_type) {
+		if (a->algo == b->algo)
+			return oidcmp(a, b);
+		else
+			return a->algo > b->algo ? 1 : -1;
+	}
 
 	/*
 	 * Between object types show tags, then commits, and finally
@@ -533,8 +550,12 @@ static enum get_oid_result get_short_oid(struct repository *r,
 	int status;
 	struct disambiguate_state ds;
 	int quietly = !!(flags & GET_OID_QUIETLY);
+	const struct git_hash_algo *algo = r->hash_algo;
 
-	if (init_object_disambiguation(r, name, len, &ds) < 0)
+	if (flags & GET_OID_HASH_ANY)
+		algo = NULL;
+
+	if (init_object_disambiguation(r, name, len, algo, &ds) < 0)
 		return -1;
 
 	if (HAS_MULTI_BITS(flags & GET_OID_DISAMBIGUATORS))
@@ -588,7 +609,7 @@ static enum get_oid_result get_short_oid(struct repository *r,
 		if (!ds.ambiguous)
 			ds.fn = NULL;
 
-		repo_for_each_abbrev(r, ds.hex_pfx, collect_ambiguous, &collect);
+		repo_for_each_abbrev(r, ds.hex_pfx, algo, collect_ambiguous, &collect);
 		sort_ambiguous_oid_array(r, &collect);
 
 		if (oid_array_for_each(&collect, show_ambiguous_object, &out))
@@ -610,13 +631,14 @@ static enum get_oid_result get_short_oid(struct repository *r,
 }
 
 int repo_for_each_abbrev(struct repository *r, const char *prefix,
+			 const struct git_hash_algo *algo,
 			 each_abbrev_fn fn, void *cb_data)
 {
 	struct oid_array collect = OID_ARRAY_INIT;
 	struct disambiguate_state ds;
 	int ret;
 
-	if (init_object_disambiguation(r, prefix, strlen(prefix), &ds) < 0)
+	if (init_object_disambiguation(r, prefix, strlen(prefix), algo, &ds) < 0)
 		return -1;
 
 	ds.always_call_fn = 1;
@@ -787,10 +809,12 @@ void strbuf_add_unique_abbrev(struct strbuf *sb, const struct object_id *oid,
 int repo_find_unique_abbrev_r(struct repository *r, char *hex,
 			      const struct object_id *oid, int len)
 {
+	const struct git_hash_algo *algo =
+		oid->algo ? &hash_algos[oid->algo] : r->hash_algo;
 	struct disambiguate_state ds;
 	struct min_abbrev_data mad;
 	struct object_id oid_ret;
-	const unsigned hexsz = r->hash_algo->hexsz;
+	const unsigned hexsz = algo->hexsz;
 
 	if (len < 0) {
 		unsigned long count = repo_approximate_object_count(r);
@@ -826,7 +850,7 @@ int repo_find_unique_abbrev_r(struct repository *r, char *hex,
 
 	find_abbrev_len_packed(&mad);
 
-	if (init_object_disambiguation(r, hex, mad.cur_len, &ds) < 0)
+	if (init_object_disambiguation(r, hex, mad.cur_len, algo, &ds) < 0)
 		return -1;
 
 	ds.fn = repo_extend_abbrev_len;
diff --git a/object-name.h b/object-name.h
index 9ae5223071..064ddc97d1 100644
--- a/object-name.h
+++ b/object-name.h
@@ -67,7 +67,8 @@ enum get_oid_result get_oid_with_context(struct repository *repo, const char *st
 
 
 typedef int each_abbrev_fn(const struct object_id *oid, void *);
-int repo_for_each_abbrev(struct repository *r, const char *prefix, each_abbrev_fn, void *);
+int repo_for_each_abbrev(struct repository *r, const char *prefix,
+			 const struct git_hash_algo *algo, each_abbrev_fn, void *);
 
 int set_disambiguate_hint_config(const char *var, const char *value);