diff --git a/Cargo.lock b/Cargo.lock
index 75de74c..df0e730 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1277,7 +1277,7 @@ dependencies = [
 [[package]]
 name = "zu"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "zu-common",
  "zu-encoding",
@@ -1293,7 +1293,7 @@ dependencies = [
 [[package]]
 name = "zu-common"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "thiserror",
 ]
@@ -1301,7 +1301,7 @@ dependencies = [
 [[package]]
 name = "zu-encoding"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "ruzstd",
  "zu-common",
@@ -1310,7 +1310,7 @@ dependencies = [
 [[package]]
 name = "zu-exec"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "zu-common",
  "zu-query",
@@ -1320,7 +1320,7 @@ dependencies = [
 [[package]]
 name = "zu-query"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "crossbeam-deque",
  "zu-common",
@@ -1331,7 +1331,7 @@ dependencies = [
 [[package]]
 name = "zu-s3"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "crc32c",
  "object_store",
@@ -1342,7 +1342,7 @@ dependencies = [
 [[package]]
 name = "zu-sqlite"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "rusqlite",
  "zu-common",
@@ -1352,7 +1352,7 @@ dependencies = [
 [[package]]
 name = "zu-storage"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "zu-common",
  "zu-encoding",
@@ -1361,7 +1361,7 @@ dependencies = [
 [[package]]
 name = "zu-vector"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "zu-common",
 ]
@@ -1369,7 +1369,7 @@ dependencies = [
 [[package]]
 name = "zu-zu1"
 version = "0.0.1"
-source = "git+https://github.com/tamnd/zu?rev=130f67db924bcd0f766ee814b0da2edae32150d4#130f67db924bcd0f766ee814b0da2edae32150d4"
+source = "git+https://github.com/tamnd/zu?rev=6753ded13a215bf5e8fe70ce41e69b35321e3e73#6753ded13a215bf5e8fe70ce41e69b35321e3e73"
 dependencies = [
  "crc32c",
  "loom",
diff --git a/Cargo.toml b/Cargo.toml
index f8081f2..7699ce1 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -18,8 +18,8 @@ crate-type = ["cdylib"]
 # with (ADR 0002), so a revision is the honest way to say which one.
 # A local checkout is used instead with a `paths` override in
 # `.cargo/config.toml`, which is untracked on purpose.
-zudb = { package = "zu", git = "https://github.com/tamnd/zu", rev = "130f67db924bcd0f766ee814b0da2edae32150d4" }
-zu-common = { git = "https://github.com/tamnd/zu", rev = "130f67db924bcd0f766ee814b0da2edae32150d4" }
+zudb = { package = "zu", git = "https://github.com/tamnd/zu", rev = "6753ded13a215bf5e8fe70ce41e69b35321e3e73" }
+zu-common = { git = "https://github.com/tamnd/zu", rev = "6753ded13a215bf5e8fe70ce41e69b35321e3e73" }
 # N-API by way of napi-rs (ADR 0002). `napi9` is the version of N-API
 # this addon declares it needs, which is what makes one binary work
 # across Node 24, Node 26, Electron and Bun without a rebuild: the
diff --git a/README.md b/README.md
index 7197cec..0f54de8 100644
--- a/README.md
+++ b/README.md
@@ -290,6 +290,8 @@ The same memory is on both sides of that: `table.getChild("age").data[0].values`
 
 Two things are not buffers, and both are named by the type rather than found out by looking. A column of nodes, rels, paths, lists or records has no fixed width cell, so it arrives as `items`, holding the same JavaScript values `query` would have made. A column of nothing but nulls has a length and nothing else, because there is nothing to put in a buffer. A column that mixes two types is refused, naming the column and the row that did it, since a columnar result holds one type per column and a column that quietly became strings is worse than one that would not build.
 
+A statement that matched nothing still comes back with its columns, each one the type the plan declared and each one empty: a string column of no rows has its one starting offset, an integer column of no rows has a buffer of no elements. So a table built from an empty answer has the schema the same statement would have had with rows in it, and a loop that concatenates a page at a time does not have to hold the first page that had anything in it as a special case.
+
 `bigIntMode` says nothing here. A columnar read has one physical layout per type and an INT64 column is 64 bit cells however a caller would rather read one, which is the difference between a buffer and a value. The mode still decides what is inside `items`, where this client is making objects anyway.
 
 ## Preparing a statement
diff --git a/binding.d.cts b/binding.d.cts
index ed35b83..fd91a7d 100644
--- a/binding.d.cts
+++ b/binding.d.cts
@@ -593,6 +593,7 @@ export interface ZuProgressOptions {
  * already been left behind.
  */
 export interface ZuProgress extends Disposable {
+  /** Stops the watch. The callback is not called again. */
   stop(): void
 }
 
diff --git a/etc/zudb.api.md b/etc/zudb.api.md
index 89f320c..1f1ae18 100644
--- a/etc/zudb.api.md
+++ b/etc/zudb.api.md
@@ -373,7 +373,6 @@ export interface ZuProfile {
 
 // @public
 export interface ZuProgress extends Disposable {
-    // (undocumented)
     stop(): void
 }
 
diff --git a/test/columnar.test.mjs b/test/columnar.test.mjs
index bc4679e..2181961 100644
--- a/test/columnar.test.mjs
+++ b/test/columnar.test.mjs
@@ -240,14 +240,26 @@ test('what no buffer covers arrives as the values themselves', async (t) => {
 
 test('a statement that matched nothing is columns of no rows', async (t) => {
   const { conn } = await twoPeople(t)
-  const read = await conn.columnar("MATCH (p:person) WHERE p.name = 'nobody' RETURN p.id AS id")
+  const read = await conn.columnar(
+    "MATCH (p:person) WHERE p.name = 'nobody' RETURN p.id AS id, p.name AS name",
+  )
+  const { id, name } = named(read)
 
   assert.equal(read.rows, 0)
-  assert.equal(read.columns.length, 1)
-  assert.equal(read.columns[0].length, 0)
-  // Nothing settled the type, so it is the type of nothing, which is
-  // the one every columnar format has for exactly this.
-  assert.equal(read.columns[0].type, 'null')
+  assert.equal(read.columns.length, 2)
+  // No row settled the type, so it is the type the plan declared and
+  // not the type of nothing: an empty answer has the schema the same
+  // statement would have had with rows in it, which is what makes a
+  // table built from one appendable to a table built from the other.
+  assert.equal(id.type, 'int')
+  assert.equal(id.length, 0)
+  assert.equal(id.values.length, 0)
+  // A string column of no rows still carries the offset every string
+  // column starts from, so the subarray arithmetic holds at zero rows
+  // rather than being a case a reader has to special case.
+  assert.equal(name.type, 'string')
+  assert.equal(name.data.length, 0)
+  assert.deepEqual([...name.offsets], [0])
 })
 
 test('a statement that projects nothing has no columns and says so', async (t) => {
@@ -351,15 +363,23 @@ test('a million rows come back down one buffer and the loop stays free', async (
 
   let ticks = 0
   const timer = setInterval(() => (ticks += 1), 1)
+  const at = performance.now()
   const read = await conn.columnar('MATCH (n:number) RETURN n.at AS at')
+  const took = performance.now() - at
   clearInterval(timer)
 
   assert.equal(read.rows, rows)
   assert.equal(read.columns[0].values.length, rows)
   assert.equal(read.columns[0].values[rows - 1], BigInt(rows))
   // The whole read is on the threadpool, so the timer kept firing
-  // throughout it rather than queueing behind it.
-  assert.ok(ticks > 20, `the event loop ticked ${ticks} times`)
+  // throughout it rather than queueing behind it. The bar is a tick
+  // every ten milliseconds of the read and not a fixed count, because
+  // a blocked loop fires none however long the read takes and a fixed
+  // count turns every speedup into a failure.
+  assert.ok(
+    ticks > took / 10,
+    `the event loop ticked ${ticks} times in ${took.toFixed(0)} ms`,
+  )
 })
 
 // The types every fixed-width column maps to, which is the whole of
diff --git a/test/register.test.mjs b/test/register.test.mjs
index 80528d6..2c54efb 100644
--- a/test/register.test.mjs
+++ b/test/register.test.mjs
@@ -520,5 +520,14 @@ test('registering costs the same whatever the frame holds', async (t) => {
       best[rows] = Math.min(best[rows], Number(process.hrtime.bigint() - started) / 1e6)
     }
   }
-  assert.ok(best[5_000_000] < 2, `registering 5m rows took ${best[5_000_000].toFixed(2)} ms`)
+  // Against the ten row call rather than against a millisecond count,
+  // because the claim is that the cost does not follow the rows and a
+  // fixed budget measures the machine's load as much as the code: a way
+  // in that walked the rows would be five hundred thousand times the
+  // small frame and not twenty.
+  assert.ok(
+    best[5_000_000] < best[10] * 20 + 2,
+    `registering 5m rows took ${best[5_000_000].toFixed(2)} ms ` +
+      `against ${best[10].toFixed(2)} ms for ten`,
+  )
 })