diff --git a/swh/loader/package/conda/loader.py b/swh/loader/package/conda/loader.py
--- a/swh/loader/package/conda/loader.py
+++ b/swh/loader/package/conda/loader.py
@@ -29,7 +29,11 @@
     """Archive (tar.gz) file name"""
 
     version = attr.ib(type=str)
-    """Complete version and distribution name. Ex: 'linux-64/0.1.1-py37'
+    """Complete version and distribution name used as branch name. Ex: 'linux-64/0.1.1-py37'
+    """
+
+    release_version = attr.ib(type=str)
+    """Version number used as release name. Ex: '0.1.1-py37-linux-64'
     """
 
     last_modified: Optional[datetime] = attr.ib()
@@ -102,7 +106,11 @@
                 ["0.1.1", "0.10.2"]
         """
         versions = list(self.artifacts.keys())
-        versions.sort(key=parse_version)
+        versions.sort(
+            key=lambda version_key: parse_version(
+                version_key.split("/", 1)[1].split("-", 1)[0]
+            )
+        )
         return versions
 
     def get_default_version(self) -> str:
@@ -135,11 +143,14 @@
         if data.get("date"):
             last_modified = iso8601.parse_date(data["date"])
 
+        arch, version_and_build = data["version"].split("/", 1)
+
         p_info = CondaPackageInfo(
             name=pkgname,
             filename=filename,
             url=url,
             version=version,
+            release_version=f"{version_and_build}-{arch}",
             last_modified=last_modified,
             checksums=data["checksums"],
         )
@@ -170,7 +181,7 @@
         )
 
         return Release(
-            name=p_info.version.encode(),
+            name=p_info.release_version.encode(),
             author=author,
             date=last_modified,
             message=message.encode(),
diff --git a/swh/loader/package/conda/tests/test_conda.py b/swh/loader/package/conda/tests/test_conda.py
--- a/swh/loader/package/conda/tests/test_conda.py
+++ b/swh/loader/package/conda/tests/test_conda.py
@@ -5,7 +5,7 @@
 
 from swh.loader.package.conda.loader import CondaLoader
 from swh.loader.tests import assert_last_visit_matches, check_snapshot, get_stats
-from swh.model.hashutil import hash_to_bytes
+from swh.model.hashutil import hash_to_bytes, hash_to_hex
 from swh.model.model import (
     ObjectType,
     Person,
@@ -72,19 +72,39 @@
     assert load_status["status"] == "eventful"
     assert load_status["snapshot_id"] is not None
 
-    expected_snapshot_id = "9c20bedf9af54ef7b3937fe4675f9f17b9331b7b"
+    first_release = Release(
+        name=b"0.11.1-py36h9f0ad1d_1-linux-64",
+        message=b"Synthetic release for Conda source package lifetimes version"
+        b" linux-64/0.11.1-py36h9f0ad1d_1\n",
+        target=hash_to_bytes("0c63e5f909e481d8e5832bac8abbd089bca42993"),
+        target_type=ObjectType.DIRECTORY,
+        synthetic=True,
+        author=Person(
+            fullname=b"CamDavidsonPilon", name=b"CamDavidsonPilon", email=None
+        ),
+        date=TimestampWithTimezone.from_iso8601("2020-07-06T12:19:36.425000+00:00"),
+    )
 
-    assert expected_snapshot_id == load_status["snapshot_id"]
+    # This one have empty author and date
+    second_release = Release(
+        name=b"0.11.1-py36hc560c46_1-linux-64",
+        message=b"Synthetic release for Conda source package lifetimes version"
+        b" linux-64/0.11.1-py36hc560c46_1\n",
+        target=hash_to_bytes("45ca406aeb31f51836a8593b619ab216403ce489"),
+        target_type=ObjectType.DIRECTORY,
+        synthetic=True,
+        author=Person(fullname=b"", name=None, email=None),
+        date=None,
+    )
 
     expected_snapshot = Snapshot(
-        id=hash_to_bytes(load_status["snapshot_id"]),
         branches={
             b"releases/linux-64/0.11.1-py36h9f0ad1d_1": SnapshotBranch(
-                target=hash_to_bytes("9848f61b501801799025d632221833a0f988dca2"),
+                target=first_release.id,
                 target_type=TargetType.RELEASE,
             ),
             b"releases/linux-64/0.11.1-py36hc560c46_1": SnapshotBranch(
-                target=hash_to_bytes("fad38f867db9311504a4c340f2b32dcdffa46e27"),
+                target=second_release.id,
                 target_type=TargetType.RELEASE,
             ),
             b"HEAD": SnapshotBranch(
@@ -94,6 +114,8 @@
         },
     )
 
+    assert hash_to_hex(expected_snapshot.id) == load_status["snapshot_id"]
+
     check_snapshot(expected_snapshot, swh_storage)
 
     stats = get_stats(swh_storage)
@@ -108,45 +130,6 @@
         "snapshot": 1,
     } == stats
 
-    assert swh_storage.release_get(
-        [hash_to_bytes("9848f61b501801799025d632221833a0f988dca2")]
-    )[0] == Release(
-        name=b"linux-64/0.11.1-py36h9f0ad1d_1",
-        message=b"Synthetic release for Conda source package lifetimes version"
-        b" linux-64/0.11.1-py36h9f0ad1d_1\n",
-        target=hash_to_bytes("0c63e5f909e481d8e5832bac8abbd089bca42993"),
-        target_type=ObjectType.DIRECTORY,
-        synthetic=True,
-        author=Person(
-            fullname=b"CamDavidsonPilon", name=b"CamDavidsonPilon", email=None
-        ),
-        date=TimestampWithTimezone.from_iso8601("2020-07-06T12:19:36.425000+00:00"),
-        id=hash_to_bytes("9848f61b501801799025d632221833a0f988dca2"),
-    )
-
-    assert_last_visit_matches(
-        swh_storage,
-        url=ORIGINS[0]["url"],
-        status="full",
-        type="conda",
-        snapshot=hash_to_bytes(load_status["snapshot_id"]),
-    )
-
-    # This one have empty author and date
-    assert swh_storage.release_get(
-        [hash_to_bytes("fad38f867db9311504a4c340f2b32dcdffa46e27")]
-    )[0] == Release(
-        name=b"linux-64/0.11.1-py36hc560c46_1",
-        message=b"Synthetic release for Conda source package lifetimes version"
-        b" linux-64/0.11.1-py36hc560c46_1\n",
-        target=hash_to_bytes("45ca406aeb31f51836a8593b619ab216403ce489"),
-        target_type=ObjectType.DIRECTORY,
-        synthetic=True,
-        author=Person(fullname=b"", name=None, email=None),
-        date=None,
-        id=hash_to_bytes("fad38f867db9311504a4c340f2b32dcdffa46e27"),
-    )
-
     assert_last_visit_matches(
         swh_storage,
         url=ORIGINS[0]["url"],
diff --git a/swh/loader/package/rpm/loader.py b/swh/loader/package/rpm/loader.py
--- a/swh/loader/package/rpm/loader.py
+++ b/swh/loader/package/rpm/loader.py
@@ -91,7 +91,14 @@
 
     def get_versions(self) -> Sequence[str]:
         """Returns the keys of the packages input (e.g. fedora34/everything/1.18.0-5, etc...)"""
-        return list(sorted(self.packages, key=parse_version))
+        return list(
+            sorted(
+                self.packages,
+                key=lambda version_key: parse_version(
+                    self.packages[version_key]["version"]
+                ),
+            )
+        )
 
     def get_default_version(self) -> str:
         """Get the latest release version of a rpm package"""