diff --git a/.changeset/moody-clowns-hear.md b/.changeset/moody-clowns-hear.md
new file mode 100644
index 0000000000..d2f45e2d91
--- /dev/null
+++ b/.changeset/moody-clowns-hear.md
@@ -0,0 +1,13 @@
+---
+'@backstage/plugin-catalog-backend': patch
+---
+
+Make the processing hash calculation not care about the order of the processors.
+
+This change does not affect the behavior of the catalog, but it will make the processing
+hash calculation more robust against changes in the order of processors. This should lead to
+more stable processing hashes, which in turn should lead to fewer unnecessary reprocessing
+of entities.
+
+After deploying this fix, you may see a period of increased processing and stitching, but
+this should stabilize over time as the processing hashes become more consistent.
diff --git a/plugins/catalog-backend/src/processing/DefaultCatalogProcessingEngine.ts b/plugins/catalog-backend/src/processing/DefaultCatalogProcessingEngine.ts
index 56b95d901d..266b80f9a4 100644
--- a/plugins/catalog-backend/src/processing/DefaultCatalogProcessingEngine.ts
+++ b/plugins/catalog-backend/src/processing/DefaultCatalogProcessingEngine.ts
@@ -46,6 +46,11 @@ const tracer = trace.getTracer(TRACER_ID);
 
 export type ProgressTracker = ReturnType<typeof progressTracker>;
 
+const stableStringifyArray = (arr: any[]) => {
+  const sorted = arr.map(stableStringify).sort();
+  return `[${sorted.join(',')}]`;
+};
+
 // NOTE(freben): Perhaps surprisingly, this class does not implement the
 // CatalogProcessingEngine type. That type is externally visible and its name is
 // the way it is for historic reasons. This class has no particular reason to
@@ -226,10 +231,10 @@ export class DefaultCatalogProcessingEngine {
 
               hashBuilder = hashBuilder
                 .update(stableStringify({ ...result.completedEntity }))
-                .update(stableStringify([...result.deferredEntities]))
-                .update(stableStringify([...result.relations]))
-                .update(stableStringify([...result.refreshKeys]))
-                .update(stableStringify([...parents]));
+                .update(stableStringifyArray([...result.deferredEntities]))
+                .update(stableStringifyArray([...result.relations]))
+                .update(stableStringifyArray([...result.refreshKeys]))
+                .update(stableStringifyArray([...parents]));
             }
 
             const resultHash = hashBuilder.digest('hex');