diff --git a/apps/api/src/contexts/supplies/application/list-categories.spec.ts b/apps/api/src/contexts/supplies/application/list-categories.spec.ts
index 6ce2723..8728b09 100644
--- a/apps/api/src/contexts/supplies/application/list-categories.spec.ts
+++ b/apps/api/src/contexts/supplies/application/list-categories.spec.ts
@@ -3,34 +3,55 @@ import { Category } from '../domain/category';
 import { CategoryDefinition } from '../domain/category-definition';
 import { CategoryRepository } from '../domain/ports/category.repository';
 
+const FOOD: CategoryDefinition = {
+  slug: Category.Food,
+  labelEs: 'Alimentos',
+  labelEn: 'Food',
+  parentSlug: null,
+  vertical: 'general',
+  sort: 10,
+  codePrefix: 'FOD',
+  archivedAt: null,
+  translations: [
+    { locale: 'es', label: 'Alimentos' },
+    { locale: 'en', label: 'Food' },
+  ],
+};
+
+function makeRepo(listCategoriesFn: jest.Mock): CategoryRepository {
+  return {
+    loadAliasMap: () => Promise.resolve(new Map()),
+    listCategories: listCategoriesFn,
+    findBySlug: () => Promise.resolve(null),
+    createCategory: () => Promise.resolve(FOOD),
+    updateCategory: () => Promise.resolve(FOOD),
+  };
+}
+
 describe('ListCategories', () => {
-  it('returns the category taxonomy from the repository', async () => {
-    const categories: CategoryDefinition[] = [
-      {
-        slug: Category.Food,
-        labelEs: 'Alimentos',
-        labelEn: 'Food',
-        parentSlug: null,
-        vertical: 'general',
-        sort: 10,
-        codePrefix: 'FOD',
-        archivedAt: null,
-        translations: [
-          { locale: 'es', label: 'Alimentos' },
-          { locale: 'en', label: 'Food' },
-        ],
-      },
-    ];
-    const repo: CategoryRepository = {
-      loadAliasMap: () => Promise.resolve(new Map()),
-      listCategories: () => Promise.resolve(categories),
-      findBySlug: () => Promise.resolve(categories[0] ?? null),
-      createCategory: () => Promise.resolve(),
-      updateCategory: () => Promise.resolve(),
-    };
-
-    const result = await new ListCategories(repo).execute();
-
-    expect(result).toEqual(categories);
+  it('devuelve la taxonomía de categorías del repositorio', async () => {
+    const listCategories = jest.fn().mockResolvedValue([FOOD]);
+    const result = await new ListCategories(makeRepo(listCategories)).execute();
+
+    expect(result).toEqual([FOOD]);
+  });
+
+  it('llama al repositorio sin includeArchived por defecto (cara pública)', async () => {
+    const listCategories = jest.fn().mockResolvedValue([FOOD]);
+
+    await new ListCategories(makeRepo(listCategories)).execute();
+
+    expect(listCategories).toHaveBeenCalledWith(undefined);
+  });
+
+  it('pasa includeArchived: true cuando se solicita (cara admin)', async () => {
+    const archived: CategoryDefinition = { ...FOOD, archivedAt: new Date() };
+    const listCategories = jest.fn().mockResolvedValue([FOOD, archived]);
+
+    await new ListCategories(makeRepo(listCategories)).execute({
+      includeArchived: true,
+    });
+
+    expect(listCategories).toHaveBeenCalledWith({ includeArchived: true });
   });
 });
diff --git a/apps/api/src/contexts/supplies/application/update-category.spec.ts b/apps/api/src/contexts/supplies/application/update-category.spec.ts
new file mode 100644
index 0000000..41a4140
--- /dev/null
+++ b/apps/api/src/contexts/supplies/application/update-category.spec.ts
@@ -0,0 +1,82 @@
+import { UpdateCategory } from './update-category';
+import { CategoryValidationError } from './category-admin.errors';
+import { Category } from '../domain/category';
+import { CategoryDefinition } from '../domain/category-definition';
+import { CategoryRepository } from '../domain/ports/category.repository';
+
+const BASE: CategoryDefinition = {
+  slug: 'baby_food',
+  labelEs: 'Alimentos para bebé',
+  labelEn: 'Baby food',
+  parentSlug: 'food',
+  vertical: 'general',
+  sort: 140,
+  archivedAt: null,
+  translations: [],
+};
+
+function makeRepo(
+  override: Partial<CategoryRepository> = {},
+): CategoryRepository {
+  return {
+    loadAliasMap: () => Promise.resolve(new Map()),
+    listCategories: () => Promise.resolve([]),
+    findBySlug: () => Promise.resolve(BASE),
+    createCategory: () => Promise.resolve(BASE),
+    updateCategory: (_slug, input) =>
+      Promise.resolve({ ...BASE, archivedAt: input.archivedAt ?? null }),
+    ...override,
+  };
+}
+
+describe('UpdateCategory — archive / restore', () => {
+  it('archiva una categoría no-núcleo fijando archivedAt', async () => {
+    const repo = makeRepo();
+    const result = await new UpdateCategory(repo).execute('baby_food', {
+      archived: true,
+    });
+    expect(result.archivedAt).toBeInstanceOf(Date);
+  });
+
+  it('restaura una categoría archivada pasando archived: false', async () => {
+    const archived: CategoryDefinition = { ...BASE, archivedAt: new Date() };
+    const repo = makeRepo({
+      findBySlug: () => Promise.resolve(archived),
+      updateCategory: (_slug, input) =>
+        Promise.resolve({ ...archived, archivedAt: input.archivedAt ?? null }),
+    });
+
+    const result = await new UpdateCategory(repo).execute('baby_food', {
+      archived: false,
+    });
+    expect(result.archivedAt).toBeNull();
+  });
+
+  it('preserva archivedAt cuando archived no se pasa', async () => {
+    const ts = new Date('2026-01-01T00:00:00Z');
+    const archived: CategoryDefinition = { ...BASE, archivedAt: ts };
+    const repo = makeRepo({
+      findBySlug: () => Promise.resolve(archived),
+      updateCategory: (_slug, input) =>
+        Promise.resolve({ ...archived, archivedAt: input.archivedAt ?? null }),
+    });
+
+    const result = await new UpdateCategory(repo).execute('baby_food', {
+      labelEs: 'Otro nombre',
+    });
+    expect(result.archivedAt).toEqual(ts);
+  });
+
+  it('rechaza archivar una categoría núcleo', async () => {
+    const core: CategoryDefinition = {
+      ...BASE,
+      slug: Category.Food,
+      parentSlug: null,
+    };
+    const repo = makeRepo({ findBySlug: () => Promise.resolve(core) });
+
+    await expect(
+      new UpdateCategory(repo).execute(Category.Food, { archived: true }),
+    ).rejects.toBeInstanceOf(CategoryValidationError);
+  });
+});
diff --git a/apps/api/src/contexts/supplies/infrastructure/http/categories-admin.controller.spec.ts b/apps/api/src/contexts/supplies/infrastructure/http/categories-admin.controller.spec.ts
index f6ba2f9..9b44e46 100644
--- a/apps/api/src/contexts/supplies/infrastructure/http/categories-admin.controller.spec.ts
+++ b/apps/api/src/contexts/supplies/infrastructure/http/categories-admin.controller.spec.ts
@@ -80,4 +80,43 @@ describe('CategoriesAdminController', () => {
       BadRequestException,
     );
   });
+
+  it('archiva una categoría no-núcleo vía DELETE', async () => {
+    const archived = { ...category, archivedAt: new Date().toISOString() };
+    const updateCategory = { execute: jest.fn().mockResolvedValue(archived) };
+    const controller = new CategoriesAdminController(
+      { execute: jest.fn() } as never,
+      { execute: jest.fn() } as never,
+      updateCategory as never,
+    );
+
+    await controller.delete('baby_food');
+
+    expect(updateCategory.execute).toHaveBeenCalledWith('baby_food', {
+      archived: true,
+    });
+  });
+
+  it('restaura una categoría archivada vía PATCH con archived: false', async () => {
+    const restored: CategoryDefinition = { ...category, archivedAt: null };
+    const updateCategory = { execute: jest.fn().mockResolvedValue(restored) };
+    const controller = new CategoriesAdminController(
+      { execute: jest.fn() } as never,
+      { execute: jest.fn() } as never,
+      updateCategory as never,
+    );
+
+    const result = await controller.update('baby_food', { archived: false });
+
+    expect(updateCategory.execute).toHaveBeenCalledWith('baby_food', {
+      labelEs: undefined,
+      labelEn: undefined,
+      parentSlug: undefined,
+      vertical: undefined,
+      sort: undefined,
+      archived: false,
+      translations: undefined,
+    });
+    expect(result.archivedAt).toBeNull();
+  });
 });
diff --git a/apps/api/src/contexts/supplies/infrastructure/http/categories.controller.spec.ts b/apps/api/src/contexts/supplies/infrastructure/http/categories.controller.spec.ts
index 193b90f..702d0b6 100644
--- a/apps/api/src/contexts/supplies/infrastructure/http/categories.controller.spec.ts
+++ b/apps/api/src/contexts/supplies/infrastructure/http/categories.controller.spec.ts
@@ -35,4 +35,23 @@ describe('CategoriesController', () => {
     expect(es[0]?.label).toBe('Alimentos');
     expect(fr[0]?.label).toBe('Nourriture');
   });
+
+  it('no expone archivedAt ni campos internos en la proyección pública', async () => {
+    const controller = new CategoriesController({
+      execute: () => Promise.resolve(categories),
+    });
+
+    const result = await controller.list('es', {});
+
+    expect(result[0]).not.toHaveProperty('archivedAt');
+    expect(result[0]).toEqual({
+      slug: 'food',
+      label: 'Alimentos',
+      labelEs: 'Alimentos',
+      labelEn: 'Food',
+      parentSlug: null,
+      vertical: 'general',
+      sort: 1,
+    });
+  });
 });