diff --git a/src/push.ts b/src/push.ts
index d4be749..cc70351 100644
--- a/src/push.ts
+++ b/src/push.ts
@@ -13,14 +13,20 @@
  *   - A with    pageId   -> update (restored/copied file; the page already exists).
  *   - M                  -> update content (collab/Yjs path, SPEC §2/§15.6).
  *   - D                  -> delete_page (pageId recovered from the PRE-IMAGE meta).
- *   - R                  -> rename/move (RECORDED ONLY here; see the TODO below).
+ *   - R                  -> rename/move (CLASSIFIED here, APPLIED in push #3).
+ *
+ * MOVE/RENAME APPLY (push #3) — DONE here. `classifyRenameMoves` (PURE) resolves
+ * each `renamesMoves` entry into the Docmost op(s) it needs, comparing the PATH-
+ * derived parent (SPEC §5: the file path is the source of truth for tree
+ * position, NOT stale `meta.parentPageId`) and the meta title; `applyPushActions`
+ * then calls `move_page` / `rename_page` (both for a reparent+retitle), or
+ * records a NO-OP for a cosmetic local-only file-path rename.
  *
  * SCOPE OF THIS INCREMENT — what is intentionally NOT here yet (next increment),
  * left as explicit TODO markers:
- *   - TODO(next-increment): move/rename APPLY — resolving move-vs-rename and the
- *     new parentPageId, then calling `move_page` / `rename_page` (SPEC §6/§8).
- *     `computePushActions` already CLASSIFIES R into `renamesMoves`, and
- *     `applyPushActions` returns them as `deferred` without any client call.
+ *   - TODO(next): the precise fractional-index `position` for `move_page`
+ *     (SPEC §16). `applyPushActions` passes `position` UNDEFINED for now and the
+ *     client supplies a valid default; computing a key between siblings is next.
  *   - loop-guard PRODUCTION (SPEC §10) — DONE here: `applyPushActions` records,
  *     per applied page, the pushed body hash + the write's `updatedAt` (see
  *     `ApplyPushResult.pushed`) and fast-forwards the `docmost` mirror after a
@@ -72,6 +78,104 @@ export interface RenameMoveAction {
   newPath: string;
 }
 
+/**
+ * A CLASSIFIED rename/move (push #3): a `RenameMoveAction` resolved into the
+ * Docmost op(s) it actually needs. The file PATH is the source of truth for tree
+ * position (SPEC §5: "истина связи — pageId, не путь" — the path is COSMETIC and
+ * LOCAL, the page identity is its pageId), so we compare the RESOLVED parent of
+ * the new path against the resolved parent of the old path, and the title in the
+ * current meta against the title in the previous meta. Each sub-op is emitted
+ * ONLY when something real changed:
+ *   - `move`  — the resolved parent page changed (reparent in Docmost). A `null`
+ *     `parentPageId` means the new parent is ROOT (the file sits at the space
+ *     root, no enclosing folder).
+ *   - `rename` — the page title changed (a pure title edit in Docmost).
+ *   - `noop`  — neither changed: a purely LOCAL file-path rename (same parent,
+ *     same title). The page identity is its pageId, so Docmost is NOT called.
+ * `move` and `rename` are independent and may BOTH be present (reparent + retitle).
+ */
+export interface RenameMoveActionClassified {
+  pageId: string;
+  oldPath: string;
+  newPath: string;
+  /** Present iff the resolved parent changed -> `move_page` (reparent). */
+  move?: { parentPageId: string | null };
+  /** Present iff the title changed -> `rename_page` (title-only). */
+  rename?: { title: string };
+  /** True iff neither parent nor title changed (cosmetic local-only rename). */
+  noop?: true;
+}
+
+/**
+ * Injected resolvers for the PURE `classifyRenameMoves` (push #3). Both are PURE
+ * given a path + side; the real `main` (a follow-up) wires them to the file tree
+ * (`readFile` for `current`, `git.showFileAtRef` for `prev`), tests pass plain
+ * lookups. SPEC §5 path-as-truth:
+ *   - `metaAt`: the file's `docmost:meta` at that side (for the title).
+ *   - `resolveParentPageId`: the pageId of the page whose FILE is the parent
+ *     FOLDER's `.md` (one level up from the given path), or `null` for ROOT.
+ */
+export interface ClassifyRenameMovesDeps {
+  metaAt: (path: string, side: MetaSide) => DocmostMdMeta | null;
+  resolveParentPageId: (path: string, side: MetaSide) => string | null;
+}
+
+/**
+ * PURE classifier for the `renamesMoves` produced by `computePushActions`
+ * (push #3, SPEC §5/§6/§8). Resolves each `{pageId, oldPath, newPath}` into the
+ * Docmost op(s) it needs, with NO IO (both resolvers are injected).
+ *
+ * SPEC §5 — the file PATH is the source of truth for tree position, NOT the
+ * (possibly stale) `meta.parentPageId`. So the NEW parent is resolved from
+ * `newPath`'s enclosing folder, and the OLD parent from `oldPath`'s enclosing
+ * folder, via `deps.resolveParentPageId`. The title comes from the meta.
+ *
+ * For each entry:
+ *   - `newParent = resolveParentPageId(newPath, 'current')`,
+ *     `oldParent = resolveParentPageId(oldPath, 'prev')`.
+ *   - `newTitle = metaAt(newPath,'current')?.title`,
+ *     `oldTitle = metaAt(oldPath,'prev')?.title`.
+ *   - include `move` iff `newParent !== oldParent` (a real reparent),
+ *   - include `rename` iff `newTitle` is a NON-EMPTY string AND differs from
+ *     `oldTitle` (a real title edit; an empty/absent new title is never a rename),
+ *   - if NEITHER applies -> `noop: true` (a cosmetic local-only file-path rename;
+ *     the page is its pageId, so Docmost is not touched).
+ */
+export function classifyRenameMoves(
+  renamesMoves: RenameMoveAction[],
+  deps: ClassifyRenameMovesDeps,
+): RenameMoveActionClassified[] {
+  return renamesMoves.map((rm) => {
+    const newParent = deps.resolveParentPageId(rm.newPath, "current");
+    const oldParent = deps.resolveParentPageId(rm.oldPath, "prev");
+    const newTitle = deps.metaAt(rm.newPath, "current")?.title;
+    const oldTitle = deps.metaAt(rm.oldPath, "prev")?.title;
+
+    const out: RenameMoveActionClassified = {
+      pageId: rm.pageId,
+      oldPath: rm.oldPath,
+      newPath: rm.newPath,
+    };
+    // A reparent: the new path's resolved parent page differs from the old's.
+    if (newParent !== oldParent) {
+      out.move = { parentPageId: newParent };
+    }
+    // A title edit: only when there is a real, non-empty new title that changed.
+    if (
+      typeof newTitle === "string" &&
+      newTitle.length > 0 &&
+      newTitle !== oldTitle
+    ) {
+      out.rename = { title: newTitle };
+    }
+    // Neither changed -> a purely LOCAL file-path rename; do NOT call Docmost.
+    if (!out.move && !out.rename) {
+      out.noop = true;
+    }
+    return out;
+  });
+}
+
 /** The classified set of push actions (PURE output of `computePushActions`). */
 export interface PushActions {
   creates: CreateAction[];
@@ -257,7 +361,7 @@ export const DOCMOST_BRANCH = "docmost";
  * Injectable IO for `applyPushActions`. The real `main` (NEXT increment) wires
  * these to the live client, `node:fs/promises`, and the vault git wrapper; this
  * increment drives them only through FAKES in tests (no live destructive run).
- *   - `client`: the create/update/delete subset of `DocmostClient`.
+ *   - `client`: the create/update/delete/move/rename subset of `DocmostClient`.
  *   - `readFile`/`writeFile`: read a changed file's body / write a file back
  *     (by vault-relative path; the applier does not resolve absolute paths so
  *     fakes stay trivial).
@@ -268,13 +372,23 @@ export const DOCMOST_BRANCH = "docmost";
 export interface ApplyPushDeps {
   client: Pick<
     DocmostClient,
-    "importPageMarkdown" | "createPage" | "deletePage"
+    | "importPageMarkdown"
+    | "createPage"
+    | "deletePage"
+    | "movePage"
+    | "renamePage"
   >;
   /** Read a changed file's full text by its vault-relative path. */
   readFile: (path: string) => Promise<string>;
   /** Write a file's full text by its vault-relative path. */
   writeFile: (path: string, text: string) => Promise<void>;
-  git: Pick<VaultGit, "updateRef" | "fastForwardBranch">;
+  /**
+   * `updateRef` advances `refs/docmost/last-pushed`; `fastForwardBranch` advances
+   * the `docmost` mirror after a clean push. `showFileAtRef` reads a file's text
+   * at a ref (used by the move/rename classifier to resolve the PREVIOUS parent
+   * folder's `.md` at `refs/docmost/last-pushed`, SPEC §5 path-as-truth).
+   */
+  git: Pick<VaultGit, "updateRef" | "fastForwardBranch" | "showFileAtRef">;
 }
 
 /** A file whose meta was rewritten with a freshly-assigned pageId (post-create). */
@@ -306,20 +420,38 @@ export interface PushedPageRecord {
  * refs are NOT advanced when there is any failure, so a re-run retries cleanly.
  */
 export interface PushFailure {
-  kind: "update" | "create" | "delete";
-  /** The pageId for update/delete; absent for a create that never got one. */
+  kind: "update" | "create" | "delete" | "move" | "rename";
+  /** The pageId for update/delete/move/rename; absent for a never-id'd create. */
   pageId?: string;
-  /** The vault-relative path for create/update; absent for a delete. */
+  /** The vault-relative path for create/update/move/rename; absent for delete. */
   path?: string;
   /** The error message captured from the thrown error. */
   error: string;
 }
 
-/** Structured outcome of `applyPushActions` (counts + write-backs + deferred). */
+/**
+ * A rename/move action that resolved to a NO-OP (push #3, SPEC §5): a purely
+ * LOCAL file-path rename whose resolved parent AND title are both unchanged. The
+ * page identity is its pageId and the path is COSMETIC/local-only, so Docmost is
+ * NOT called — the skip is recorded here (with the reason) for logging.
+ */
+export interface PushNoop {
+  pageId: string;
+  oldPath: string;
+  newPath: string;
+  /** Why no Docmost op was emitted (currently always a path-only rename). */
+  reason: "path-only-rename";
+}
+
+/** Structured outcome of `applyPushActions` (counts + write-backs + noops). */
 export interface ApplyPushResult {
   created: number;
   updated: number;
   deleted: number;
+  /** Pages reparented in Docmost via `move_page` (push #3, SPEC §5/§16). */
+  moved: number;
+  /** Pages retitled in Docmost via `rename_page` (push #3, SPEC §5/§6). */
+  renamed: number;
   /**
    * Files whose `docmost:meta` was rewritten with the pageId Docmost assigned on
    * create — these now need a FOLLOW-UP commit (the meta on disk changed). The
@@ -339,8 +471,12 @@ export interface ApplyPushResult {
    * (SPEC §12). Non-empty here means the refs were NOT advanced.
    */
   failures: PushFailure[];
-  /** Rename/move actions NOT executed this increment (apply is deferred). */
-  deferred: RenameMoveAction[];
+  /**
+   * Rename/move actions that resolved to a NO-OP — a purely LOCAL file-path
+   * rename (same parent, same title). NO Docmost call was made for these (SPEC
+   * §5: the page is its pageId, the path is local-only). Recorded for logging.
+   */
+  noops: PushNoop[];
   /** Diff rows the planner could not classify (carried through for logging). */
   skipped: PushActions["skipped"];
   /** Whether `refs/docmost/last-pushed` was advanced (only on a CLEAN push). */
@@ -369,7 +505,15 @@ export interface ApplyPushResult {
  *     tracked. The write-back is recorded in `writtenBack` (a follow-up commit
  *     is needed — NEXT increment).
  *   - DELETE: `client.deletePage(pageId)` — soft-delete to Trash (SPEC §8).
- *   - RENAME/MOVE: NOT executed — returned as `deferred` (NEXT increment).
+ *   - RENAME/MOVE (push #3, SPEC §5/§6/§16): classify each `renamesMoves` entry
+ *     with `classifyRenameMoves` (resolvers read the parent FOLDER's `.md` for
+ *     the parent pageId — path-as-truth — and the meta for the title), then:
+ *       - `move`   -> `client.movePage(pageId, parentPageId, position?)` (reparent;
+ *         `position` is UNDEFINED for now — the client supplies a default),
+ *       - `rename` -> `client.renamePage(pageId, title)` (title-only),
+ *       - BOTH     -> move (reparent) THEN rename (title), in that order,
+ *       - `noop`   -> NO client call; recorded in `noops` (a cosmetic local-only
+ *         file-path rename: the page is its pageId, the path is local, SPEC §5).
  *
  * FAIL-SAFE / per-page isolation (SPEC §12 resumability). Each page's operation
  * is wrapped in its own try/catch: a single failing page is recorded in
@@ -408,9 +552,12 @@ export async function applyPushActions(
   let created = 0;
   let updated = 0;
   let deleted = 0;
+  let moved = 0;
+  let renamed = 0;
   const writtenBack: WrittenBackPage[] = [];
   const pushed: PushedPageRecord[] = [];
   const failures: PushFailure[] = [];
+  const noops: PushNoop[] = [];
 
   // 1. UPDATES — collab/Yjs write path (SPEC §2/§15.6), never a raw overwrite.
   //    Each update is isolated: a thrown page is recorded and the batch goes on.
@@ -489,8 +636,105 @@ export async function applyPushActions(
     }
   }
 
-  // 4. RENAME/MOVE — DEFERRED (NEXT increment): no client call. Returned as
-  //    `deferred` so the caller can see what still needs the move/rename apply.
+  // 4. RENAME/MOVE (push #3, SPEC §5/§6/§16). Classify each entry against the
+  //    tree-backed resolvers (the NEW parent comes from the new path's enclosing
+  //    folder `.md`, the OLD parent from the old path's at last-pushed — PATH is
+  //    the truth, not stale `meta.parentPageId`; the title from the meta), then
+  //    apply only the real ops. Each page is isolated like the cases above: a
+  //    thrown op is recorded in `failures` and the batch continues. ORDER for a
+  //    page that needs both: reparent (move) FIRST, then retitle (rename).
+  if (actions.renamesMoves.length > 0) {
+    // The classifier is PURE over sync resolvers; the tree reads are async, so
+    // prefetch every (path, side) lookup it will make into plain tables first.
+    const parentTable = new Map<string, string | null>();
+    const metaTable = new Map<string, DocmostMdMeta | null>();
+    // A tree read (readFile / git.showFileAtRef) throwing must isolate THAT page
+    // into `failures`, NOT abort the whole batch (§12 resumability). The helpers
+    // already swallow their own errors, but this per-entry try/catch keeps the
+    // batch-isolation invariant holding regardless of future changes to them.
+    const prefetchFailed = new Set<string>();
+    for (const rm of actions.renamesMoves) {
+      // newParent + newTitle from the CURRENT tree; oldParent + oldTitle from the
+      // last-pushed pre-image (`prev`). Keyed by `path|side` so duplicates fold.
+      try {
+        parentTable.set(
+          `${rm.newPath}|current`,
+          await resolveParentPageIdViaTree(deps, rm.newPath, "current"),
+        );
+        parentTable.set(
+          `${rm.oldPath}|prev`,
+          await resolveParentPageIdViaTree(deps, rm.oldPath, "prev"),
+        );
+        metaTable.set(
+          `${rm.newPath}|current`,
+          await metaAtViaTree(deps, rm.newPath, "current"),
+        );
+        metaTable.set(
+          `${rm.oldPath}|prev`,
+          await metaAtViaTree(deps, rm.oldPath, "prev"),
+        );
+      } catch (err: unknown) {
+        prefetchFailed.add(rm.pageId);
+        failures.push({
+          kind: "move",
+          pageId: rm.pageId,
+          path: rm.newPath,
+          error: errMessage(err),
+        });
+      }
+    }
+    const classified = classifyRenameMoves(
+      actions.renamesMoves.filter((rm) => !prefetchFailed.has(rm.pageId)),
+      {
+        metaAt: (path, side) => metaTable.get(`${path}|${side}`) ?? null,
+        resolveParentPageId: (path, side) =>
+          parentTable.get(`${path}|${side}`) ?? null,
+      },
+    );
+
+    for (const c of classified) {
+      if (c.noop) {
+        // Cosmetic local-only file-path rename — no Docmost op (SPEC §5).
+        noops.push({
+          pageId: c.pageId,
+          oldPath: c.oldPath,
+          newPath: c.newPath,
+          reason: "path-only-rename",
+        });
+        continue;
+      }
+      // Track which op is in flight so a failure is attributed to the op that
+      // ACTUALLY threw: for a page needing both, a move that succeeds then a
+      // rename that throws must be recorded as `rename`, not `move`.
+      let failingKind: "move" | "rename" = c.move ? "move" : "rename";
+      try {
+        // Reparent FIRST so the page is in its new tree position, THEN retitle.
+        if (c.move) {
+          failingKind = "move";
+          // TODO(next): compute a fractional-index position between siblings
+          // (SPEC §16). `position` is UNDEFINED here; the client supplies a valid
+          // default. Pass `parentPageId: null` for a move to the space ROOT.
+          await client.movePage(c.pageId, c.move.parentPageId);
+          moved++;
+        }
+        if (c.rename) {
+          failingKind = "rename";
+          await client.renamePage(c.pageId, c.rename.title);
+          renamed++;
+        }
+      } catch (err: unknown) {
+        // Isolate the failed page: the op that ACTUALLY threw is recorded so a
+        // re-run can retry. A move that threw before its rename leaves `rename`
+        // for the next run (idempotent re-apply); refs are NOT advanced (below).
+        failures.push({
+          kind: failingKind,
+          pageId: c.pageId,
+          path: c.newPath,
+          error: errMessage(err),
+        });
+      }
+    }
+  }
 
   // 5. Advance the refs ONLY on a CLEAN push (no failures) AND when a pushed
   //    commit is supplied. A partial push must advance NEITHER ref, so a re-run
@@ -514,10 +758,12 @@ export async function applyPushActions(
     created,
     updated,
     deleted,
+    moved,
+    renamed,
     writtenBack,
     pushed,
     failures,
-    deferred: actions.renamesMoves,
+    noops,
     skipped: actions.skipped,
     lastPushedAdvanced,
     docmostFastForward,
@@ -529,6 +775,89 @@ function errMessage(err: unknown): string {
   return err instanceof Error ? err.message : String(err);
 }
 
+/**
+ * SPEC §5 path-as-truth: the parent FOLDER's `.md` file for a vault-relative
+ * (forward-slash) path. `buildVaultLayout` puts a page with children at
+ * `<...>/Title.md` and nests its children under `<...>/Title/`, so for
+ * `newPath = <dir>/Child.md` the parent page's file is `<dir>.md` (the enclosing
+ * folder, one level up). A path with NO enclosing folder (`Child.md`, at the
+ * space root) has no parent folder file -> `null` (the parent is ROOT).
+ */
+export function parentFolderFile(path: string): string | null {
+  const slash = path.lastIndexOf("/");
+  if (slash < 0) return null; // root-level file: no enclosing folder.
+  return `${path.slice(0, slash)}.md`;
+}
+
+/**
+ * Build the `resolveParentPageId(path, side)` resolver `classifyRenameMoves`
+ * needs, reading the PARENT FOLDER's `.md` (SPEC §5 path-as-truth):
+ *   - `current` -> `deps.readFile(<dir>.md)` (the live working tree),
+ *   - `prev`    -> `git.showFileAtRef('refs/docmost/last-pushed', <dir>.md)` (the
+ *     last-pushed pre-image),
+ * then parse its `docmost:meta` and return that page's pageId. A root-level path
+ * (no enclosing folder), a missing/unreadable parent file, or a parent file with
+ * no parseable pageId all resolve to `null` (parent is ROOT / unknown ->
+ * `parentPageId: null`, SPEC §16 "parentPageId: null -> в корень").
+ *
+ * The IO is async, so this returns an ASYNC resolver; the call sites prefetch the
+ * parent pageIds (the classifier itself stays pure/sync over a plain table).
+ */
+async function resolveParentPageIdViaTree(
+  deps: Pick<ApplyPushDeps, "readFile" | "git">,
+  path: string,
+  side: MetaSide,
+): Promise<string | null> {
+  const parentFile = parentFolderFile(path);
+  if (parentFile === null) return null; // root-level: parent is ROOT.
+  let text: string | null;
+  try {
+    text =
+      side === "current"
+        ? await deps.readFile(parentFile)
+        : await deps.git.showFileAtRef(LAST_PUSHED_REF, parentFile);
+  } catch {
+    // Parent folder file missing/unreadable at that side -> treat as ROOT.
+    return null;
+  }
+  if (text === null) return null; // showFileAtRef returns null when absent.
+  try {
+    const { meta } = parseDocmostMarkdown(text);
+    return meta?.pageId ?? null;
+  } catch {
+    // Unparseable parent meta -> no resolvable parent pageId.
+    return null;
+  }
+}
+
+/**
+ * Resolve the file `docmost:meta` at a side for the rename/move classifier (the
+ * title comes from here). Mirrors `resolveParentPageIdViaTree`'s IO sides:
+ * `current` reads the working tree, `prev` reads `refs/docmost/last-pushed`.
+ * Returns `null` on a missing/unreadable/unparseable file.
+ */
+async function metaAtViaTree(
+  deps: Pick<ApplyPushDeps, "readFile" | "git">,
+  path: string,
+  side: MetaSide,
+): Promise<DocmostMdMeta | null> {
+  let text: string | null;
+  try {
+    text =
+      side === "current"
+        ? await deps.readFile(path)
+        : await deps.git.showFileAtRef(LAST_PUSHED_REF, path);
+  } catch {
+    return null;
+  }
+  if (text === null) return null;
+  try {
+    return parseDocmostMarkdown(text).meta ?? null;
+  } catch {
+    return null;
+  }
+}
+
 /**
  * Pull an `updatedAt` out of a create/update client result, if present. The
  * shape is `{ data: { updatedAt? }, ... }` (createPage) or a flatter object;
diff --git a/test/apply-push-actions.test.ts b/test/apply-push-actions.test.ts
index 01e6264..bb1bd6c 100644
--- a/test/apply-push-actions.test.ts
+++ b/test/apply-push-actions.test.ts
@@ -33,6 +33,18 @@ function makeClient(opts?: { createId?: string }) {
       }),
     ),
     deletePage: vi.fn(async (_pageId: string) => ({ success: true })),
+    movePage: vi.fn(
+      async (
+        _pageId: string,
+        _parentPageId: string | null,
+        _position?: string,
+      ) => ({ success: true }),
+    ),
+    renamePage: vi.fn(async (pageId: string, title: string) => ({
+      success: true,
+      pageId,
+      title,
+    })),
   };
   return client;
 }
@@ -42,9 +54,14 @@ function makeClient(opts?: { createId?: string }) {
  * (advance the `docmost` mirror, the loop-close). `ffResult` configures what the
  * ff returns (default a successful advance).
  */
-function makeGit(opts?: { ffResult?: { ok: boolean; reason?: string } }) {
+function makeGit(opts?: {
+  ffResult?: { ok: boolean; reason?: string };
+  /** Pre-image tree at `refs/docmost/last-pushed` (path -> text). */
+  prevTree?: Record<string, string>;
+}) {
   const updateRefCalls: { ref: string; target: string }[] = [];
   const ffCalls: { branch: string; toCommit: string }[] = [];
+  const prevTree = opts?.prevTree ?? {};
   const git = {
     updateRef: vi.fn(async (ref: string, target: string) => {
       updateRefCalls.push({ ref, target });
@@ -53,6 +70,11 @@ function makeGit(opts?: { ffResult?: { ok: boolean; reason?: string } }) {
       ffCalls.push({ branch, toCommit });
       return opts?.ffResult ?? { ok: true };
     }),
+    // The move/rename classifier reads the PREVIOUS parent folder's `.md` at
+    // refs/docmost/last-pushed via this; `null` when absent there (SPEC §5).
+    showFileAtRef: vi.fn(async (_ref: string, path: string) =>
+      path in prevTree ? prevTree[path] : null,
+    ),
   };
   return { git, updateRefCalls, ffCalls };
 }
@@ -189,23 +211,237 @@ describe('applyPushActions — delete (soft-delete to Trash, SPEC §8)', () => {
   });
 });
 
-describe('applyPushActions — rename/move is DEFERRED (NEXT increment)', () => {
-  it('returns renames/moves as `deferred` with NO client call', async () => {
-    const client = makeClient();
-    const { git } = makeGit();
-    const fs = makeFs();
+// FS→Docmost push #3 (SPEC §5/§6/§16): the move/rename APPLY. The classifier
+// resolves the parent from the FILE PATH (the enclosing folder's `.md`), not
+// stale `meta.parentPageId`, then `applyPushActions` calls move_page / rename_page
+// (both for a reparent+retitle) or records a path-only NO-OP with NO client call.
+
+/**
+ * Helper: a self-contained file with the given pageId + title in its meta. Used
+ * both to seed the working tree (fs) and the prev tree (git.showFileAtRef).
+ */
+function fileWith(meta: { pageId: string; title?: string }): string {
+  return serializeDocmostMarkdownBody(
+    { version: 1, pageId: meta.pageId, ...(meta.title ? { title: meta.title } : {}) },
+    'body',
+  );
+}
+
+describe('applyPushActions — move (parent changed, title same; SPEC §5/§16)', () => {
+  it('calls movePage(pageId, newParent) and NOT renamePage', async () => {
+    // The page moved from the space root (Doc.md) under a folder (Parent/Doc.md).
+    // The new parent page's file is `Parent.md`; its meta carries the parent id.
+    const client = makeClient();
+    const { git } = makeGit({
+      // Prev pre-image: the file used to sit at the root (parent ROOT).
+      prevTree: { 'Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }) },
+    });
+    const fs = makeFs({
+      // Current tree: the moved file + its new parent folder's `.md`.
+      'Parent/Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }),
+      'Parent.md': fileWith({ pageId: 'parent-id', title: 'Parent' }),
+    });
 
-    const rm = { pageId: 'p-mv', oldPath: 'Old.md', newPath: 'New.md' };
     const res = await applyPushActions(
       deps(client, git, fs),
-      actions({ renamesMoves: [rm] }),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-mv', oldPath: 'Doc.md', newPath: 'Parent/Doc.md' },
+        ],
+      }),
     );
 
-    expect(res.deferred).toEqual([rm]);
-    // NOTHING was pushed for the move this increment.
-    expect(client.importPageMarkdown).not.toHaveBeenCalled();
-    expect(client.createPage).not.toHaveBeenCalled();
-    expect(client.deletePage).not.toHaveBeenCalled();
+    expect(res.moved).toBe(1);
+    expect(res.renamed).toBe(0);
+    expect(client.movePage).toHaveBeenCalledTimes(1);
+    // Reparented under `parent-id`; position left UNDEFINED (client default).
+    expect(client.movePage).toHaveBeenCalledWith('p-mv', 'parent-id');
+    expect(client.renamePage).not.toHaveBeenCalled();
+    expect(res.noops).toEqual([]);
+  });
+});
+
+describe('applyPushActions — move-to-root (newParent null; SPEC §16)', () => {
+  it('calls movePage(pageId, null) when the file lands at the space root', async () => {
+    const client = makeClient();
+    const { git } = makeGit({
+      // Prev: the file used to live under `Parent/`, so its old parent is the
+      // page whose file is `Parent.md` (parent-id).
+      prevTree: {
+        'Parent/Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }),
+        'Parent.md': fileWith({ pageId: 'parent-id', title: 'Parent' }),
+      },
+    });
+    // Current: the file is now at the root -> no enclosing folder -> parent ROOT.
+    const fs = makeFs({ 'Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }) });
+
+    const res = await applyPushActions(
+      deps(client, git, fs),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-mv', oldPath: 'Parent/Doc.md', newPath: 'Doc.md' },
+        ],
+      }),
+    );
+
+    expect(res.moved).toBe(1);
+    expect(client.movePage).toHaveBeenCalledWith('p-mv', null);
+    expect(client.renamePage).not.toHaveBeenCalled();
+  });
+});
+
+describe('applyPushActions — rename (same parent, title changed; SPEC §5/§6)', () => {
+  it('calls renamePage(pageId, title) and NOT movePage', async () => {
+    // Same enclosing folder on both sides (parent unchanged), only the title
+    // changed in meta -> a pure rename.
+    const client = makeClient();
+    const { git } = makeGit({
+      prevTree: {
+        'Folder/Old.md': fileWith({ pageId: 'p-rn', title: 'Old Title' }),
+        'Folder.md': fileWith({ pageId: 'folder-id', title: 'Folder' }),
+      },
+    });
+    const fs = makeFs({
+      'Folder/New.md': fileWith({ pageId: 'p-rn', title: 'New Title' }),
+      'Folder.md': fileWith({ pageId: 'folder-id', title: 'Folder' }),
+    });
+
+    const res = await applyPushActions(
+      deps(client, git, fs),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-rn', oldPath: 'Folder/Old.md', newPath: 'Folder/New.md' },
+        ],
+      }),
+    );
+
+    expect(res.renamed).toBe(1);
+    expect(res.moved).toBe(0);
+    expect(client.renamePage).toHaveBeenCalledTimes(1);
+    expect(client.renamePage).toHaveBeenCalledWith('p-rn', 'New Title');
+    expect(client.movePage).not.toHaveBeenCalled();
+  });
+});
+
+describe('applyPushActions — both (reparent + retitle; move THEN rename)', () => {
+  it('calls movePage first, then renamePage', async () => {
+    const callOrder: string[] = [];
+    const client = makeClient();
+    client.movePage.mockImplementation(async () => {
+      callOrder.push('move');
+      return { success: true };
+    });
+    client.renamePage.mockImplementation(async (pageId: string, title: string) => {
+      callOrder.push('rename');
+      return { success: true, pageId, title };
+    });
+    const { git } = makeGit({
+      // Prev: at root (parent ROOT) with the old title.
+      prevTree: { 'Old.md': fileWith({ pageId: 'p-x', title: 'Old' }) },
+    });
+    const fs = makeFs({
+      // Current: under a new folder AND retitled.
+      'NewParent/New.md': fileWith({ pageId: 'p-x', title: 'New' }),
+      'NewParent.md': fileWith({ pageId: 'np-id', title: 'NewParent' }),
+    });
+
+    const res = await applyPushActions(
+      deps(client, git, fs),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-x', oldPath: 'Old.md', newPath: 'NewParent/New.md' },
+        ],
+      }),
+    );
+
+    expect(res.moved).toBe(1);
+    expect(res.renamed).toBe(1);
+    expect(client.movePage).toHaveBeenCalledWith('p-x', 'np-id');
+    expect(client.renamePage).toHaveBeenCalledWith('p-x', 'New');
+    // Order matters: reparent FIRST, then retitle.
+    expect(callOrder).toEqual(['move', 'rename']);
+  });
+});
+
+describe('applyPushActions — noop (path-only rename; NO Docmost call; SPEC §5)', () => {
+  it('calls NEITHER movePage NOR renamePage and records the noop', async () => {
+    // Same enclosing folder AND same title on both sides: a purely LOCAL file
+    // rename. The page is its pageId; the path is cosmetic -> Docmost untouched.
+    const client = makeClient();
+    const { git } = makeGit({
+      prevTree: {
+        'Folder/A.md': fileWith({ pageId: 'p-noop', title: 'Same' }),
+        'Folder.md': fileWith({ pageId: 'folder-id', title: 'Folder' }),
+      },
+    });
+    const fs = makeFs({
+      'Folder/B.md': fileWith({ pageId: 'p-noop', title: 'Same' }),
+      'Folder.md': fileWith({ pageId: 'folder-id', title: 'Folder' }),
+    });
+
+    const res = await applyPushActions(
+      deps(client, git, fs),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-noop', oldPath: 'Folder/A.md', newPath: 'Folder/B.md' },
+        ],
+      }),
+    );
+
+    expect(res.moved).toBe(0);
+    expect(res.renamed).toBe(0);
+    // ZERO Docmost calls for a cosmetic rename.
+    expect(client.movePage).not.toHaveBeenCalled();
+    expect(client.renamePage).not.toHaveBeenCalled();
+    expect(res.noops).toEqual([
+      {
+        pageId: 'p-noop',
+        oldPath: 'Folder/A.md',
+        newPath: 'Folder/B.md',
+        reason: 'path-only-rename',
+      },
+    ]);
+  });
+});
+
+describe('applyPushActions — move whose client call throws (SPEC §12 isolation)', () => {
+  it('isolates the failure into `failures` and does NOT advance the refs', async () => {
+    const client = makeClient();
+    client.movePage.mockImplementation(async () => {
+      throw new Error('move boom');
+    });
+    const { git, updateRefCalls, ffCalls } = makeGit({
+      prevTree: { 'Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }) },
+    });
+    const fs = makeFs({
+      'Parent/Doc.md': fileWith({ pageId: 'p-mv', title: 'Doc' }),
+      'Parent.md': fileWith({ pageId: 'parent-id', title: 'Parent' }),
+    });
+
+    const res = await applyPushActions(
+      deps(client, git, fs),
+      actions({
+        renamesMoves: [
+          { pageId: 'p-mv', oldPath: 'Doc.md', newPath: 'Parent/Doc.md' },
+        ],
+      }),
+      'sha-move-fail',
+    );
+
+    expect(res.moved).toBe(0);
+    expect(res.failures).toEqual([
+      {
+        kind: 'move',
+        pageId: 'p-mv',
+        path: 'Parent/Doc.md',
+        error: 'move boom',
+      },
+    ]);
+    // A failure means the refs are NOT advanced — a re-run retries cleanly (§12).
+    expect(res.lastPushedAdvanced).toBe(false);
+    expect(updateRefCalls).toEqual([]);
+    expect(ffCalls).toEqual([]);
+    expect(git.updateRef).not.toHaveBeenCalled();
   });
 });
 
diff --git a/test/classify-rename-moves.test.ts b/test/classify-rename-moves.test.ts
new file mode 100644
index 0000000..a02f351
--- /dev/null
+++ b/test/classify-rename-moves.test.ts
@@ -0,0 +1,263 @@
+import { describe, expect, it } from 'vitest';
+import { classifyRenameMoves } from '../src/push.js';
+import type {
+  ClassifyRenameMovesDeps,
+  MetaSide,
+  RenameMoveAction,
+} from '../src/push.js';
+import type { DocmostMdMeta } from '../packages/docmost-client/src/lib/markdown-document.js';
+
+// FS→Docmost push #3 (SPEC §5/§6/§16). `classifyRenameMoves` is the PURE half of
+// the move/rename apply: it resolves each `{pageId, oldPath, newPath}` into the
+// Docmost op(s) it needs, with NO IO (both resolvers are injected). The key
+// design (SPEC §5) is that the file PATH is the source of truth for tree
+// position — the NEW parent comes from the new path, the OLD parent from the old
+// path — and the title comes from the meta. An op is emitted ONLY when something
+// really changed; a path-only rename (same parent + same title) is a noop and
+// NEVER calls Docmost.
+
+/** Build `metaAt` from a `path|side -> meta` table. */
+function metaTable(
+  table: Record<string, DocmostMdMeta | null>,
+): (path: string, side: MetaSide) => DocmostMdMeta | null {
+  return (path, side) => {
+    const key = `${path}|${side}`;
+    return key in table ? table[key] : null;
+  };
+}
+
+/** Build `resolveParentPageId` from a `path|side -> parentPageId|null` table. */
+function parentTable(
+  table: Record<string, string | null>,
+): (path: string, side: MetaSide) => string | null {
+  return (path, side) => {
+    const key = `${path}|${side}`;
+    return key in table ? table[key] : null;
+  };
+}
+
+function deps(
+  metas: Record<string, DocmostMdMeta | null>,
+  parents: Record<string, string | null>,
+): ClassifyRenameMovesDeps {
+  return {
+    metaAt: metaTable(metas),
+    resolveParentPageId: parentTable(parents),
+  };
+}
+
+function meta(partial: Partial<DocmostMdMeta>): DocmostMdMeta {
+  return { version: 1, ...partial };
+}
+
+describe('classifyRenameMoves — move-only (parent changed, title same)', () => {
+  it('emits move (new parent) and NO rename', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p1', oldPath: 'Doc.md', newPath: 'Parent/Doc.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          // Same title on both sides.
+          'Parent/Doc.md|current': meta({ title: 'Doc' }),
+          'Doc.md|prev': meta({ title: 'Doc' }),
+        },
+        {
+          // Parent changed: root (null) -> 'parent-id'.
+          'Parent/Doc.md|current': 'parent-id',
+          'Doc.md|prev': null,
+        },
+      ),
+    );
+    expect(out).toEqual([
+      {
+        pageId: 'p1',
+        oldPath: 'Doc.md',
+        newPath: 'Parent/Doc.md',
+        move: { parentPageId: 'parent-id' },
+      },
+    ]);
+    expect(out[0].rename).toBeUndefined();
+    expect(out[0].noop).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — rename-only (same parent, title changed)', () => {
+  it('emits rename (new title) and NO move', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p2', oldPath: 'Folder/Old.md', newPath: 'Folder/New.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          'Folder/New.md|current': meta({ title: 'New Title' }),
+          'Folder/Old.md|prev': meta({ title: 'Old Title' }),
+        },
+        {
+          // Same parent on both sides.
+          'Folder/New.md|current': 'folder-id',
+          'Folder/Old.md|prev': 'folder-id',
+        },
+      ),
+    );
+    expect(out).toEqual([
+      {
+        pageId: 'p2',
+        oldPath: 'Folder/Old.md',
+        newPath: 'Folder/New.md',
+        rename: { title: 'New Title' },
+      },
+    ]);
+    expect(out[0].move).toBeUndefined();
+    expect(out[0].noop).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — both (parent AND title changed)', () => {
+  it('emits BOTH move and rename', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p3', oldPath: 'Old.md', newPath: 'NewParent/New.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          'NewParent/New.md|current': meta({ title: 'New' }),
+          'Old.md|prev': meta({ title: 'Old' }),
+        },
+        {
+          'NewParent/New.md|current': 'np-id',
+          'Old.md|prev': null,
+        },
+      ),
+    );
+    expect(out).toEqual([
+      {
+        pageId: 'p3',
+        oldPath: 'Old.md',
+        newPath: 'NewParent/New.md',
+        move: { parentPageId: 'np-id' },
+        rename: { title: 'New' },
+      },
+    ]);
+    expect(out[0].noop).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — noop (path-only rename, same parent + title)', () => {
+  it('emits noop and NEITHER move NOR rename (SPEC §5: page is its pageId)', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p4', oldPath: 'Folder/A.md', newPath: 'Folder/B.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          'Folder/B.md|current': meta({ title: 'Same' }),
+          'Folder/A.md|prev': meta({ title: 'Same' }),
+        },
+        {
+          'Folder/B.md|current': 'folder-id',
+          'Folder/A.md|prev': 'folder-id',
+        },
+      ),
+    );
+    expect(out).toEqual([
+      {
+        pageId: 'p4',
+        oldPath: 'Folder/A.md',
+        newPath: 'Folder/B.md',
+        noop: true,
+      },
+    ]);
+    expect(out[0].move).toBeUndefined();
+    expect(out[0].rename).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — move-to-root (newParent null)', () => {
+  it('emits move with parentPageId null when the file lands at the space root', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p5', oldPath: 'Parent/Doc.md', newPath: 'Doc.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          'Doc.md|current': meta({ title: 'Doc' }),
+          'Parent/Doc.md|prev': meta({ title: 'Doc' }),
+        },
+        {
+          // New parent is ROOT (null), old parent was 'parent-id'.
+          'Doc.md|current': null,
+          'Parent/Doc.md|prev': 'parent-id',
+        },
+      ),
+    );
+    expect(out).toEqual([
+      {
+        pageId: 'p5',
+        oldPath: 'Parent/Doc.md',
+        newPath: 'Doc.md',
+        move: { parentPageId: null },
+      },
+    ]);
+    expect(out[0].rename).toBeUndefined();
+    expect(out[0].noop).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — title guards', () => {
+  it('an EMPTY new title is NOT a rename (even if it differs from old)', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p6', oldPath: 'Folder/A.md', newPath: 'Folder/B.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          // New title is empty -> never a rename; same parent -> overall noop.
+          'Folder/B.md|current': meta({ title: '' }),
+          'Folder/A.md|prev': meta({ title: 'Had A Title' }),
+        },
+        {
+          'Folder/B.md|current': 'folder-id',
+          'Folder/A.md|prev': 'folder-id',
+        },
+      ),
+    );
+    expect(out[0].rename).toBeUndefined();
+    expect(out[0].move).toBeUndefined();
+    expect(out[0].noop).toBe(true);
+  });
+
+  it('a missing new meta is NOT a rename; a parent change still yields a move', () => {
+    const rms: RenameMoveAction[] = [
+      { pageId: 'p7', oldPath: 'Doc.md', newPath: 'Parent/Doc.md' },
+    ];
+    const out = classifyRenameMoves(
+      rms,
+      deps(
+        {
+          // No current meta entry at all (resolver returns null).
+          'Doc.md|prev': meta({ title: 'Doc' }),
+        },
+        {
+          'Parent/Doc.md|current': 'parent-id',
+          'Doc.md|prev': null,
+        },
+      ),
+    );
+    expect(out[0].move).toEqual({ parentPageId: 'parent-id' });
+    expect(out[0].rename).toBeUndefined();
+    expect(out[0].noop).toBeUndefined();
+  });
+});
+
+describe('classifyRenameMoves — empty input', () => {
+  it('returns an empty array for no rename/move entries', () => {
+    expect(classifyRenameMoves([], deps({}, {}))).toEqual([]);
+  });
+});