diff --git a/src/DodoSSH.Client.Terminal/TerminalDataPlane.cs b/src/DodoSSH.Client.Terminal/TerminalDataPlane.cs
index 5bb88ef..ad0247c 100644
--- a/src/DodoSSH.Client.Terminal/TerminalDataPlane.cs
+++ b/src/DodoSSH.Client.Terminal/TerminalDataPlane.cs
@@ -56,6 +56,16 @@ public sealed class TerminalDataPlane : ITerminalTransport, IAsyncDisposable
     private const int MaximumRequestBytes = 16 * 1024;
     private const int ReceiveBufferBytes = 64 * 1024;
 
+    /// <summary>The largest message from the page this host will reassemble.</summary>
+    /// <remarks>
+    /// A paste is one input frame however long it is, and so is a copied selection, so the receive buffer
+    /// is the size of a read and not the size of a message. Sixteen megabytes is far beyond anything a
+    /// person pastes into a shell on purpose and still small enough that a page sending garbage cannot make
+    /// this process hold an unbounded amount of it. A message beyond it is dropped whole — never its tail,
+    /// which would be parsed as a frame whose first bytes are somebody's paste.
+    /// </remarks>
+    private const int MaximumMessageBytes = 16 * 1024 * 1024;
+
     private readonly TcpListener listener;
     private readonly ITerminalAssetProvider assets;
     private readonly Dictionary<uint, TerminalSessionPump> pumps = [];
@@ -451,6 +461,11 @@ public sealed class TerminalDataPlane : ITerminalTransport, IAsyncDisposable
     {
         var buffer = new byte[ReceiveBufferBytes];
 
+        // Grown only when a message spans more than one read, and kept for the next one that does.
+        var message = Array.Empty<byte>();
+        var length = 0;
+        var oversized = false;
+
         while (webSocket.State == WebSocketState.Open && !cancellationToken.IsCancellationRequested)
         {
             var result = await webSocket
@@ -462,14 +477,73 @@ public sealed class TerminalDataPlane : ITerminalTransport, IAsyncDisposable
                 return;
             }
 
-            if (!result.EndOfMessage)
+            // The common case — a keystroke, an acknowledgement — is one read, and goes straight through.
+            if (result.EndOfMessage && length == 0 && !oversized)
             {
-                // A frame larger than the receive buffer. Terminal input and acknowledgements are tiny,
-                // so this is either a bug or something hostile; dropping is the safe response.
+                DispatchSafely(buffer.AsSpan(0, result.Count));
                 continue;
             }
 
-            Dispatch(buffer.AsSpan(0, result.Count));
+            if (!oversized && length + result.Count <= MaximumMessageBytes)
+            {
+                if (length + result.Count > message.Length)
+                {
+                    Array.Resize(ref message, Math.Min(MaximumMessageBytes, Math.Max(message.Length * 2, length + result.Count)));
+                }
+
+                buffer.AsSpan(0, result.Count).CopyTo(message.AsSpan(length));
+                length += result.Count;
+            }
+            else
+            {
+                oversized = true;
+            }
+
+            if (!result.EndOfMessage)
+            {
+                continue;
+            }
+
+            if (!oversized)
+            {
+                DispatchSafely(message.AsSpan(0, length));
+            }
+
+            length = 0;
+            oversized = false;
+        }
+    }
+
+    /// <summary>Dispatches one frame, so that what goes wrong with one session stays with that session.</summary>
+    /// <remarks>
+    /// Every session shares this socket, and an exception escaping the receive loop closes it — so a resize
+    /// that reached a shell SSH.NET had already disposed, which is an ordinary moment at the end of every
+    /// session, used to drop every other tab to "reconnecting" and lose the output sent meanwhile. A frame
+    /// that cannot be acted on is a frame not acted on; the session it was for reports its own ending.
+    /// </remarks>
+    private void DispatchSafely(ReadOnlySpan<byte> frame)
+    {
+        try
+        {
+            Dispatch(frame);
+        }
+        catch (Exception exception) when (exception is not OutOfMemoryException and not OperationCanceledException)
+        {
+            // See the remarks.
+        }
+    }
+
+    /// <summary>Writes one input frame, without letting a session that is going away fault anything.</summary>
+    private async Task WriteInputAsync(TerminalSessionPump pump, byte[] input)
+    {
+        try
+        {
+            await pump.WriteInputAsync(input, lifetime.Token).ConfigureAwait(false);
+        }
+        catch (Exception exception) when (exception is not OutOfMemoryException)
+        {
+            // The shell ended or the connection dropped between the keystroke and the write. The session's
+            // own read loop reports that; a keystroke that had nowhere to go has nothing to add.
         }
     }
 
@@ -502,7 +576,7 @@ public sealed class TerminalDataPlane : ITerminalTransport, IAsyncDisposable
             case TerminalClientOpcode.Input:
                 // Fire and forget: a blocked write must not stall acknowledgements for other sessions
                 // sharing this socket.
-                _ = pump.WriteInputAsync(payload.ToArray(), lifetime.Token).AsTask();
+                _ = WriteInputAsync(pump, payload.ToArray());
                 break;
 
             case TerminalClientOpcode.Acknowledge:
diff --git a/src/DodoSSH.Client.Terminal/TerminalSessionPump.cs b/src/DodoSSH.Client.Terminal/TerminalSessionPump.cs
index e843eb6..5f95ce9 100644
--- a/src/DodoSSH.Client.Terminal/TerminalSessionPump.cs
+++ b/src/DodoSSH.Client.Terminal/TerminalSessionPump.cs
@@ -107,6 +107,19 @@ public sealed class TerminalSessionPump : IAsyncDisposable
     private readonly OutputBacklog backlog;
 
     private readonly CancellationTokenSource lifetime = new();
+
+    /// <summary>One write to the remote at a time, in the order they were asked for.</summary>
+    /// <remarks>
+    /// The data plane hands each input frame over without waiting for the one before it — a blocked write
+    /// must not hold up the acknowledgements of every other session on the socket — so without this, two
+    /// frames' writes run at once. SSH.NET's <c>ShellStream</c> takes no lock around its write buffer, and its
+    /// flush sends what is there and then empties it by length: bytes added mid-flush are discarded unsent.
+    /// A snippet's RUN is its text and then a carriage return as two frames, which is exactly the shape that lost or
+    /// reordered keystrokes. Waiters on a <see cref="SemaphoreSlim"/> are released in the order they arrived,
+    /// and the data plane calls this from one receive loop, so arrival order is the order typed.
+    /// </remarks>
+    private readonly SemaphoreSlim inputGate = new(1, 1);
+
     private int disposed;
 
     /// <param name="sessionId">Identifies this session in every frame.</param>
@@ -267,9 +280,20 @@ public sealed class TerminalSessionPump : IAsyncDisposable
         }
     }
 
-    /// <summary>Forwards keystrokes to the remote.</summary>
-    public ValueTask WriteInputAsync(ReadOnlyMemory<byte> data, CancellationToken cancellationToken) =>
-        session.WriteAsync(data, cancellationToken);
+    /// <summary>Forwards keystrokes to the remote, after any still being written.</summary>
+    public async ValueTask WriteInputAsync(ReadOnlyMemory<byte> data, CancellationToken cancellationToken)
+    {
+        await inputGate.WaitAsync(cancellationToken).ConfigureAwait(false);
+
+        try
+        {
+            await session.WriteAsync(data, cancellationToken).ConfigureAwait(false);
+        }
+        finally
+        {
+            inputGate.Release();
+        }
+    }
 
     /// <summary>Tells the remote the terminal was resized.</summary>
     public void Resize(TerminalSize size) => session.Resize(size);
diff --git a/tests/DodoSSH.Client.Terminal.Tests/FakeShellSession.cs b/tests/DodoSSH.Client.Terminal.Tests/FakeShellSession.cs
index a9df86a..840cb77 100644
--- a/tests/DodoSSH.Client.Terminal.Tests/FakeShellSession.cs
+++ b/tests/DodoSSH.Client.Terminal.Tests/FakeShellSession.cs
@@ -78,6 +78,14 @@ internal sealed class FakeShellSession : ISshShellSession
     /// <summary>The last size the pump forwarded, or null if it forwarded none.</summary>
     public TerminalSize? LastResize { get; private set; }
 
+    /// <summary>How long the first write takes, so a test can see whether a second one overtakes it.</summary>
+    public TimeSpan FirstWriteDelay { get; init; }
+
+    /// <summary>Whether a resize throws, as SSH.NET's does once it has disposed the shell's stream.</summary>
+    public bool ResizeThrows { get; init; }
+
+    private int writes;
+
     /// <summary>How many resizes were forwarded, so a dropped one is observable.</summary>
     public int ResizeCount { get; private set; }
 
@@ -119,19 +127,27 @@ internal sealed class FakeShellSession : ISshShellSession
     }
 
     /// <inheritdoc />
-    public ValueTask WriteAsync(ReadOnlyMemory<byte> data, CancellationToken cancellationToken)
+    public async ValueTask WriteAsync(ReadOnlyMemory<byte> data, CancellationToken cancellationToken)
     {
+        if (Interlocked.Increment(ref writes) == 1 && FirstWriteDelay > TimeSpan.Zero)
+        {
+            await Task.Delay(FirstWriteDelay, cancellationToken).ConfigureAwait(false);
+        }
+
         lock (gate)
         {
             written.AddRange(data.ToArray());
         }
-
-        return ValueTask.CompletedTask;
     }
 
     /// <inheritdoc />
     public void Resize(TerminalSize size)
     {
+        if (ResizeThrows)
+        {
+            throw new ObjectDisposedException("ShellStream");
+        }
+
         // Mirrors the real session: an unusable size is dropped rather than forwarded.
         if (!size.IsUsable)
         {
diff --git a/tests/DodoSSH.Client.Terminal.Tests/TerminalDataPlaneTests.cs b/tests/DodoSSH.Client.Terminal.Tests/TerminalDataPlaneTests.cs
index 46cfe09..01e17be 100644
--- a/tests/DodoSSH.Client.Terminal.Tests/TerminalDataPlaneTests.cs
+++ b/tests/DodoSSH.Client.Terminal.Tests/TerminalDataPlaneTests.cs
@@ -285,6 +285,86 @@ public sealed class TerminalDataPlaneTests : IAsyncDisposable
         Encoding.UTF8.GetString(session.Written).ShouldBe("whoami\r");
     }
 
+    /// <summary>
+    /// A paste is one input frame however long it is, and one longer than a single read used to be dropped
+    /// — or worse, its tail parsed as a frame of its own.
+    /// </summary>
+    [Fact]
+    public async Task APasteLargerThanOneRead_ReachesTheRemoteWhole()
+    {
+        Start();
+
+        using var socket = await ConnectAsync();
+
+        await using var session = new FakeShellSession();
+        await using var pump = CreatePump(session);
+        plane.Register(SessionId, pump);
+
+        var paste = new byte[300 * 1024];
+        Random.Shared.NextBytes(paste);
+
+        await SendAsync(socket, (byte)TerminalClientOpcode.Input, paste);
+
+        await WaitUntilAsync(() => session.Written.Length >= paste.Length);
+
+        session.Written.ShouldBe(paste);
+    }
+
+    /// <summary>
+    /// Frames are handed over without waiting for the write before them, so a slow write must still be
+    /// followed rather than overtaken: a snippet's RUN is its text and then a carriage return.
+    /// </summary>
+    [Fact]
+    public async Task InputFrames_AreWrittenInTheOrderTheyArrived_EvenWhenAWriteIsSlow()
+    {
+        Start();
+
+        using var socket = await ConnectAsync();
+
+        await using var session = new FakeShellSession { FirstWriteDelay = TimeSpan.FromMilliseconds(300) };
+        await using var pump = CreatePump(session);
+        plane.Register(SessionId, pump);
+
+        await SendAsync(socket, (byte)TerminalClientOpcode.Input, "sudo systemctl restart api"u8.ToArray());
+        await SendAsync(socket, (byte)TerminalClientOpcode.Input, "\r"u8.ToArray());
+
+        await WaitUntilAsync(() => session.Written.Length >= 27);
+
+        Encoding.UTF8.GetString(session.Written).ShouldBe("sudo systemctl restart api\r");
+    }
+
+    /// <summary>
+    /// A resize that reaches a shell SSH.NET has already disposed is an ordinary moment at the end of a
+    /// session, and it must not close the socket every other session shares.
+    /// </summary>
+    [Fact]
+    public async Task AResizeThatThrows_LeavesTheSocketWorkingForEverythingElse()
+    {
+        Start();
+
+        using var socket = await ConnectAsync();
+
+        await using var ending = new FakeShellSession { ResizeThrows = true };
+        await using var endingPump = CreatePump(ending);
+        plane.Register(SessionId, endingPump);
+
+        await using var other = new FakeShellSession();
+        await using var otherPump = CreatePump(other);
+        plane.Register(SessionId + 1, otherPump);
+
+        await SendAsync(
+            socket,
+            (byte)TerminalClientOpcode.Resize,
+            TerminalFrame.CreateResizePayload(new TerminalSize(80, 24, 800, 600)));
+
+        await SendAsync(socket, (byte)TerminalClientOpcode.Input, "still here"u8.ToArray(), SessionId + 1);
+
+        await WaitUntilAsync(() => other.Written.Length > 0);
+
+        Encoding.UTF8.GetString(other.Written).ShouldBe("still here");
+        socket.State.ShouldBe(WebSocketState.Open);
+    }
+
     [Fact]
     public async Task AResize_ReachesTheRemote()
     {