diff --git a/docs/registration-gates.md b/docs/registration-gates.md
index 791a1e4..1b9278a 100644
--- a/docs/registration-gates.md
+++ b/docs/registration-gates.md
@@ -34,9 +34,12 @@ server verifies the protection, the expiry and the hash, and spends the id once.
   script all pass the same way, at the cost of CPU time on the client.
 - Cost: difficulty 18 is about 260,000 hashes on average, well under a second natively and a few seconds in browser
   JavaScript. It prices a bulk registration run in CPU; it does not stop a determined attacker with CPUs, and it is not a
-  proof of humanity.
-- Replay: the spent-id set is in memory and bounded; a restart forgets it, so a challenge can be replayed for at most its
-  five-minute life. When the set is full the endpoint refuses rather than grows.
+  proof of humanity. The difficulty is embedded in the signed challenge, so a challenge verifies at the difficulty it was issued with.
+- Replay: the spent-id set is in memory and bounded (10,000, entries dropped at expiry); a restart forgets it, so a challenge
+  can be replayed for at most its five-minute life. When the set is full the endpoint refuses rather than grows. One address
+  cannot fill it alone: `GET /auth/bifrost/challenge` and `POST /auth/bifrost/register` share one per-address budget
+  (`Bifrost:Registration:Limits`, 10 per minute by default, IPv6 by /64, over budget is 429 with Retry-After). An attacker
+  with many addresses can still fill the set; that is the accepted bound, the same as oidc-issuer.md.
 
 Not built: the sign-up form. No registration page exists today; the endpoint is the contract and the only client is a
 script. The form (solving in a worker, a `<noscript>` message) is the cut after this one. Without JavaScript a person
diff --git a/src/Bifrost.Web/Configuration/RegistrationOptions.cs b/src/Bifrost.Web/Configuration/RegistrationOptions.cs
index 3ec593f..24ed26e 100644
--- a/src/Bifrost.Web/Configuration/RegistrationOptions.cs
+++ b/src/Bifrost.Web/Configuration/RegistrationOptions.cs
@@ -10,6 +10,18 @@ public sealed class RegistrationOptions
     public const int MaxDifficulty = 30;
 
     public RegistrationCaptchaOptions Captcha { get; init; } = new();
+
+    public RegistrationLimitsOptions Limits { get; init; } = new();
+}
+
+/// <summary>One budget on GET /auth/bifrost/challenge and POST /auth/bifrost/register together, per source address in one fixed window.</summary>
+public sealed class RegistrationLimitsOptions
+{
+    public int PerAddressPermits { get; init; } = 10;
+
+    public TimeSpan Window { get; init; } = TimeSpan.FromMinutes(1);
+
+    public int MaxTrackedKeys { get; init; } = 10_000;
 }
 
 public sealed class RegistrationCaptchaOptions
diff --git a/src/Bifrost.Web/Features/Oidc/OidcGuard.cs b/src/Bifrost.Web/Features/Oidc/OidcGuard.cs
index ccfd5e1..d4d09d5 100644
--- a/src/Bifrost.Web/Features/Oidc/OidcGuard.cs
+++ b/src/Bifrost.Web/Features/Oidc/OidcGuard.cs
@@ -35,7 +35,7 @@ public sealed class OidcGuardMiddleware(RequestDelegate next, OidcIssuerOptions
                 return;
             }
 
-            if (limit.Spend(AddressKey(http.Connection.RemoteIpAddress)) is { } byAddress)
+            if (limit.Spend(ClientAddress.BudgetKey(http.Connection.RemoteIpAddress)) is { } byAddress)
             {
                 await RefuseAsync(http, StatusCodes.Status429TooManyRequests, "too_many_requests", byAddress.RetryAfter);
                 return;
@@ -86,29 +86,6 @@ public sealed class OidcGuardMiddleware(RequestDelegate next, OidcIssuerOptions
         }
     }
 
-    // An IPv6 caller owns its /64, so rotating the low bits buys nothing.
-    private static string AddressKey(IPAddress? address)
-    {
-        if (address is null)
-        {
-            return "unknown";
-        }
-
-        if (address.IsIPv4MappedToIPv6)
-        {
-            address = address.MapToIPv4();
-        }
-
-        if (address.AddressFamily != System.Net.Sockets.AddressFamily.InterNetworkV6)
-        {
-            return address.ToString();
-        }
-
-        var bytes = address.GetAddressBytes();
-        Array.Clear(bytes, 8, 8);
-        return new IPAddress(bytes).ToString() + "/64";
-    }
-
     private static Task RefuseAsync(HttpContext http, int status, string error, TimeSpan retryAfter)
     {
         http.Response.StatusCode = status;
diff --git a/src/Bifrost.Web/Features/Registration/RegistrationChallengeService.cs b/src/Bifrost.Web/Features/Registration/RegistrationChallengeService.cs
index b750f4f..c44c3fb 100644
--- a/src/Bifrost.Web/Features/Registration/RegistrationChallengeService.cs
+++ b/src/Bifrost.Web/Features/Registration/RegistrationChallengeService.cs
@@ -27,7 +27,9 @@ public sealed class RegistrationChallengeService(
     private const int MaxNonceLength = 20;
 
     private readonly IDataProtector protector = dataProtection.CreateProtector(Purpose);
-    private readonly Dictionary<string, DateTimeOffset> consumed = new(StringComparer.Ordinal);
+    private readonly HashSet<string> consumed = new(StringComparer.Ordinal);
+    // Ordered by expiry: a challenge consumed late has an earlier expiry than one consumed before it, so a plain FIFO would strand it.
+    private readonly PriorityQueue<string, DateTimeOffset> expiries = new();
     private readonly object gate = new();
 
     private int Difficulty => options.Value.Captcha.Difficulty;
@@ -46,9 +48,10 @@ public sealed class RegistrationChallengeService(
         }
 
         var expiresAt = now + Lifetime;
+        var difficulty = Difficulty;
         var id = Convert.ToHexString(RandomNumberGenerator.GetBytes(16));
-        var challenge = protector.Protect($"{id}.{expiresAt.ToUnixTimeMilliseconds()}");
-        return new RegistrationChallenge(challenge, Difficulty, expiresAt);
+        var challenge = protector.Protect($"{id}.{expiresAt.ToUnixTimeMilliseconds()}.{difficulty}");
+        return new RegistrationChallenge(challenge, difficulty, expiresAt);
     }
 
     public bool TryConsume(string? challenge, string? nonce)
@@ -59,16 +62,18 @@ public sealed class RegistrationChallengeService(
         }
 
         string id;
+        int difficulty;
         DateTimeOffset expiresAt;
         try
         {
             var payload = protector.Unprotect(challenge).Split('.');
-            if (payload.Length != 2)
+            if (payload.Length != 3)
             {
                 return false;
             }
 
             id = payload[0];
+            difficulty = int.Parse(payload[2], System.Globalization.CultureInfo.InvariantCulture);
             expiresAt = DateTimeOffset.FromUnixTimeMilliseconds(long.Parse(payload[1], System.Globalization.CultureInfo.InvariantCulture));
         }
         catch (Exception)
@@ -83,7 +88,7 @@ public sealed class RegistrationChallengeService(
         }
 
         var hash = SHA256.HashData(Encoding.UTF8.GetBytes(challenge + ":" + nonce));
-        if (LeadingZeroBits(hash) < Difficulty)
+        if (LeadingZeroBits(hash) < difficulty)
         {
             return false;
         }
@@ -91,20 +96,21 @@ public sealed class RegistrationChallengeService(
         lock (gate)
         {
             Purge(now);
-            if (consumed.Count >= MaxConsumed || consumed.ContainsKey(id))
+            if (consumed.Count >= MaxConsumed || !consumed.Add(id))
             {
                 return false;
             }
 
-            consumed[id] = expiresAt;
+            expiries.Enqueue(id, expiresAt);
             return true;
         }
     }
 
     private void Purge(DateTimeOffset now)
     {
-        foreach (var id in consumed.Where(x => x.Value <= now).Select(x => x.Key).ToList())
+        while (expiries.TryPeek(out var id, out var expiresAt) && expiresAt <= now)
         {
+            expiries.Dequeue();
             consumed.Remove(id);
         }
     }
diff --git a/src/Bifrost.Web/Features/Registration/RegistrationRateLimit.cs b/src/Bifrost.Web/Features/Registration/RegistrationRateLimit.cs
new file mode 100644
index 0000000..6dc57d6
--- /dev/null
+++ b/src/Bifrost.Web/Features/Registration/RegistrationRateLimit.cs
@@ -0,0 +1,43 @@
+using Bifrost.Web.Configuration;
+using Bifrost.Web.Features.Shared;
+using Microsoft.Extensions.Options;
+
+namespace Bifrost.Web.Features.Registration;
+
+/// <summary>
+/// The per-address permits on the registration endpoints (challenge and register share one budget), on the shared
+/// fixed-window budget. It exists so one address cannot fill the consumed-challenge set alone. It fails closed:
+/// anything it cannot decide is a 503, never a pass.
+/// </summary>
+public sealed class RegistrationRateLimit(IOptions<RegistrationOptions> options, TimeProvider clock, ILogger<RegistrationRateLimit> logger)
+{
+    private readonly FixedWindowBudget addresses = new(
+        options.Value.Limits.PerAddressPermits,
+        options.Value.Limits.Window,
+        options.Value.Limits.MaxTrackedKeys,
+        clock);
+
+    /// <summary>Null when the request may proceed; otherwise the refusal to return.</summary>
+    public IResult? Refuse(HttpContext http)
+    {
+        try
+        {
+            if (addresses.Spend(ClientAddress.BudgetKey(http.Connection.RemoteIpAddress)) is not { } denial)
+            {
+                return null;
+            }
+
+            http.Response.Headers.RetryAfter = RetryAfter(denial.RetryAfter);
+            return Results.Text("Too many registration requests from this address.", statusCode: StatusCodes.Status429TooManyRequests);
+        }
+        catch (Exception exception) when (exception is not OperationCanceledException)
+        {
+            logger.LogError("Registration rate limit could not decide ({ExceptionType}); the request is refused.", exception.GetType().Name);
+            http.Response.Headers.RetryAfter = "60";
+            return Results.Text("Registration is unavailable; try again shortly.", statusCode: StatusCodes.Status503ServiceUnavailable);
+        }
+    }
+
+    private static string RetryAfter(TimeSpan wait) =>
+        Math.Max(1, (int)Math.Ceiling(wait.TotalSeconds)).ToString(System.Globalization.CultureInfo.InvariantCulture);
+}
diff --git a/src/Bifrost.Web/Features/Shared/ClientAddress.cs b/src/Bifrost.Web/Features/Shared/ClientAddress.cs
new file mode 100644
index 0000000..f959e24
--- /dev/null
+++ b/src/Bifrost.Web/Features/Shared/ClientAddress.cs
@@ -0,0 +1,32 @@
+using System.Net;
+
+namespace Bifrost.Web.Features.Shared;
+
+public static class ClientAddress
+{
+    /// <summary>
+    /// The partition key for a per-address budget: the connection's address, already corrected by the forwarded-headers
+    /// handling that trusts only the local proxy. An IPv6 caller owns its /64, so rotating the low bits buys nothing.
+    /// </summary>
+    public static string BudgetKey(IPAddress? address)
+    {
+        if (address is null)
+        {
+            return "unknown";
+        }
+
+        if (address.IsIPv4MappedToIPv6)
+        {
+            address = address.MapToIPv4();
+        }
+
+        if (address.AddressFamily != System.Net.Sockets.AddressFamily.InterNetworkV6)
+        {
+            return address.ToString();
+        }
+
+        var bytes = address.GetAddressBytes();
+        Array.Clear(bytes, 8, 8);
+        return new IPAddress(bytes).ToString() + "/64";
+    }
+}
diff --git a/src/Bifrost.Web/Features/Shared/StartupConfigurationValidator.cs b/src/Bifrost.Web/Features/Shared/StartupConfigurationValidator.cs
index fa74c50..6689ce1 100644
--- a/src/Bifrost.Web/Features/Shared/StartupConfigurationValidator.cs
+++ b/src/Bifrost.Web/Features/Shared/StartupConfigurationValidator.cs
@@ -55,6 +55,12 @@ public sealed class StartupConfigurationValidator(
             failures.Add($"Bifrost:Registration:Captcha:Difficulty must be between {RegistrationOptions.MinDifficulty} and {RegistrationOptions.MaxDifficulty}.");
         }
 
+        var limits = registrationOptions.Value.Limits;
+        if (limits.PerAddressPermits < 1 || limits.Window <= TimeSpan.Zero || limits.MaxTrackedKeys < 1)
+        {
+            failures.Add("Bifrost:Registration:Limits:PerAddressPermits and MaxTrackedKeys must be at least 1 and Window must be positive.");
+        }
+
         if (hostEnvironment.IsDevelopment() || hostEnvironment.IsEnvironment("Testing"))
         {
             Refuse(failures);
diff --git a/src/Bifrost.Web/Program.cs b/src/Bifrost.Web/Program.cs
index adb3b18..7fc1854 100644
--- a/src/Bifrost.Web/Program.cs
+++ b/src/Bifrost.Web/Program.cs
@@ -134,6 +134,7 @@ builder.Services.AddOptions<MindIntakeOptions>().BindConfiguration(MindIntakeOpt
 builder.Services.AddSingleton<MindIntakeRateLimit>(); // TimeProvider and options resolve from the container
 builder.Services.AddOptions<RegistrationOptions>().BindConfiguration(RegistrationOptions.SectionName);
 builder.Services.AddSingleton<RegistrationChallengeService>();
+builder.Services.AddSingleton<RegistrationRateLimit>();
 builder.Services.AddHostedService<SealedBallotCloser>();
 builder.Services.AddScoped<MotionEveSurfaceService>();
 builder.Services.AddScoped<PatronageService>();
@@ -390,8 +391,14 @@ app.MapPost("/auth/bifrost/register", async (
     HttpContext httpContext,
     BifrostIdentityService bifrostIdentityService,
     RegistrationChallengeService challenges,
+    RegistrationRateLimit rateLimit,
     CancellationToken cancellationToken) =>
 {
+    if (rateLimit.Refuse(httpContext) is { } refused)
+    {
+        return refused;
+    }
+
     // Consent first, then the proof of work; a refusal here creates nothing.
     if (request.AcceptedNoticeVersion != TrainingNotice.Version)
     {
@@ -432,8 +439,13 @@ app.MapPost("/auth/bifrost/register", async (
     }
 }).AllowAnonymous();
 
-app.MapGet("/auth/bifrost/challenge", (HttpContext httpContext, RegistrationChallengeService challenges) =>
+app.MapGet("/auth/bifrost/challenge", (HttpContext httpContext, RegistrationChallengeService challenges, RegistrationRateLimit rateLimit) =>
 {
+    if (rateLimit.Refuse(httpContext) is { } refused)
+    {
+        return refused;
+    }
+
     httpContext.Response.Headers.CacheControl = "no-store";
     var challenge = challenges.Issue();
     return challenge is null
@@ -460,6 +472,11 @@ app.MapPost("/auth/bifrost/consent/withdraw", async (
     var receipts = await dbContext.ConsentReceipts
         .Where(x => x.UserAccountId == actor.UserAccount.Id)
         .ToListAsync(cancellationToken);
+    if (receipts.Count == 0)
+    {
+        return Results.Text("No consent receipt is recorded for this account.", statusCode: StatusCodes.Status404NotFound);
+    }
+
     var now = clock.GetUtcNow();
     foreach (var receipt in receipts.Where(x => x.WithdrawnAtUtc is null))
     {
diff --git a/tests/Bifrost.Web.Tests/RegistrationGateTests.cs b/tests/Bifrost.Web.Tests/RegistrationGateTests.cs
index c448b8e..04923a6 100644
--- a/tests/Bifrost.Web.Tests/RegistrationGateTests.cs
+++ b/tests/Bifrost.Web.Tests/RegistrationGateTests.cs
@@ -278,6 +278,30 @@ public sealed class RegistrationGateTests(RegistrationGateFactory factory) : ICl
         Assert.DoesNotContain(db.ConsentReceipts, x => x.WithdrawnAtUtc != null && x.UserAccount!.NormalizedBifrostIdentity == identity);
     }
 
+    [Fact]
+    public async Task Withdraw_for_an_account_with_no_receipt_is_404()
+    {
+        using var client = Client();
+        var identity = NewIdentity();
+        using (var scope = factory.Services.CreateScope())
+        {
+            var db = scope.ServiceProvider.GetRequiredService<BifrostDbContext>();
+            db.UserAccounts.Add(new Bifrost.Web.Domain.UserAccount
+            {
+                BifrostIdentity = identity,
+                NormalizedBifrostIdentity = identity,
+                DisplayName = identity
+            });
+            await db.SaveChangesAsync();
+        }
+
+        using var request = new HttpRequestMessage(HttpMethod.Post, "/auth/bifrost/consent/withdraw");
+        request.Headers.Add("X-Test-Bifrost-Identity", identity);
+        using var response = await client.SendAsync(request);
+
+        Assert.Equal(HttpStatusCode.NotFound, response.StatusCode);
+    }
+
     [Fact]
     public async Task The_notice_endpoint_names_the_version_and_the_discord_exclusion()
     {
diff --git a/tests/Bifrost.Web.Tests/RegistrationLimitTests.cs b/tests/Bifrost.Web.Tests/RegistrationLimitTests.cs
new file mode 100644
index 0000000..84940f7
--- /dev/null
+++ b/tests/Bifrost.Web.Tests/RegistrationLimitTests.cs
@@ -0,0 +1,211 @@
+using System.Net;
+using System.Net.Http.Json;
+using System.Security.Cryptography;
+using System.Text;
+using System.Text.Json;
+using Bifrost.Web.Configuration;
+using Bifrost.Web.Data;
+using Bifrost.Web.Features.Registration;
+using Bifrost.Web.Tests.Support;
+using Microsoft.AspNetCore.Builder;
+using Microsoft.AspNetCore.Hosting;
+using Microsoft.AspNetCore.DataProtection;
+using Microsoft.Extensions.Configuration;
+using Microsoft.Extensions.DependencyInjection;
+using Microsoft.Extensions.DependencyInjection.Extensions;
+using Microsoft.Extensions.Options;
+
+namespace Bifrost.Web.Tests;
+
+// The challenge service on its own: single use under contention, the bounded set, the purpose, and the difficulty it issued.
+public sealed class RegistrationChallengeServiceTests
+{
+    private sealed class MutableOptions(int difficulty) : IOptions<RegistrationOptions>
+    {
+        public RegistrationOptions Value { get; set; } = With(difficulty);
+        public static RegistrationOptions With(int d) => new() { Captcha = new RegistrationCaptchaOptions { Difficulty = d } };
+    }
+
+    private static RegistrationChallengeService NewService(IDataProtectionProvider provider, IOptions<RegistrationOptions> options, TimeProvider clock) =>
+        new(provider, options, clock);
+
+    [Fact]
+    public async Task Concurrent_consumes_of_one_challenge_yield_exactly_one_success()
+    {
+        var service = NewService(new EphemeralDataProtectionProvider(), new MutableOptions(1), new ManualClock());
+        for (var round = 0; round < 300; round++)
+        {
+            var challenge = service.Issue()!;
+            var nonce = RegistrationKit.Solve(challenge.Challenge, challenge.Difficulty);
+            using var start = new ManualResetEventSlim();
+
+            var tasks = Enumerable.Range(0, 16).Select(_ => Task.Factory.StartNew(
+                () => { start.Wait(); return service.TryConsume(challenge.Challenge, nonce); },
+                TaskCreationOptions.LongRunning)).ToArray();
+            start.Set();
+            var results = await Task.WhenAll(tasks);
+
+            Assert.Equal(1, results.Count(x => x));
+        }
+    }
+
+    [Fact]
+    public void A_full_consumed_set_refuses_to_issue_and_to_consume_until_entries_expire()
+    {
+        var clock = new ManualClock();
+        var service = NewService(new EphemeralDataProtectionProvider(), new MutableOptions(1), clock);
+        var pending = new List<(string, string)>();
+        for (var i = 0; i < RegistrationChallengeService.MaxConsumed + 1; i++)
+        {
+            var c = service.Issue()!;
+            pending.Add((c.Challenge, RegistrationKit.Solve(c.Challenge, c.Difficulty)));
+        }
+
+        foreach (var (c, n) in pending.Take(RegistrationChallengeService.MaxConsumed))
+        {
+            Assert.True(service.TryConsume(c, n));
+        }
+
+        Assert.Null(service.Issue());
+        Assert.False(service.TryConsume(pending[^1].Item1, pending[^1].Item2));
+
+        clock.Advance(RegistrationChallengeService.Lifetime + TimeSpan.FromSeconds(1));
+        Assert.NotNull(service.Issue());
+    }
+
+    [Fact]
+    public void A_token_protected_for_another_purpose_is_refused()
+    {
+        var provider = new EphemeralDataProtectionProvider();
+        var clock = new ManualClock();
+        var service = NewService(provider, new MutableOptions(1), clock);
+        var expiry = (clock.GetUtcNow() + TimeSpan.FromMinutes(1)).ToUnixTimeMilliseconds();
+        var forged = provider.CreateProtector("Bifrost.Something.Else.v1").Protect($"{Guid.NewGuid():N}.{expiry}.1");
+        var nonce = RegistrationKit.Solve(forged, 1);
+
+        Assert.False(service.TryConsume(forged, nonce));
+    }
+
+    [Fact]
+    public void A_challenge_verifies_at_the_difficulty_it_was_issued_with()
+    {
+        var options = new MutableOptions(1);
+        var service = NewService(new EphemeralDataProtectionProvider(), options, new ManualClock());
+        var easy = service.Issue()!;
+        var easyNonce = RegistrationKit.Solve(easy.Challenge, 1);
+        // A nonce that meets 1 bit but not 12: only the embedded difficulty lets it through after the option rises.
+        var weak = Enumerable.Range(0, int.MaxValue).Select(i => i.ToString()).First(n =>
+        {
+            var bits = RegistrationChallengeService.LeadingZeroBits(SHA256.HashData(Encoding.UTF8.GetBytes(easy.Challenge + ":" + n)));
+            return bits >= 1 && bits < 12;
+        });
+
+        options.Value = MutableOptions.With(12);
+
+        Assert.Equal(1, easy.Difficulty);
+        Assert.True(service.TryConsume(easy.Challenge, weak));
+        Assert.Equal(12, service.Issue()!.Difficulty);
+        _ = easyNonce;
+    }
+}
+
+public sealed class RegistrationBudgetFactory : TestWebApplicationFactory
+{
+    protected override void ConfigureWebHost(IWebHostBuilder builder)
+    {
+        base.ConfigureWebHost(builder);
+        builder.ConfigureAppConfiguration((_, configuration) =>
+            configuration.AddInMemoryCollection(new Dictionary<string, string?>
+            {
+                ["Bifrost:Registration:Limits:PerAddressPermits"] = "3"
+            }));
+        builder.ConfigureServices(services => services.AddTransient<Microsoft.AspNetCore.Hosting.IStartupFilter, PeerFilter>());
+    }
+
+    private sealed class PeerFilter : Microsoft.AspNetCore.Hosting.IStartupFilter
+    {
+        public Action<Microsoft.AspNetCore.Builder.IApplicationBuilder> Configure(Action<Microsoft.AspNetCore.Builder.IApplicationBuilder> next) => app =>
+        {
+            app.Use((context, nextMiddleware) =>
+            {
+                context.Connection.RemoteIpAddress = IPAddress.Parse(context.Request.Headers["X-Test-Peer"].FirstOrDefault() ?? "198.51.100.1");
+                return nextMiddleware();
+            });
+            next(app);
+        };
+    }
+}
+
+public sealed class RegistrationBudgetTests(RegistrationBudgetFactory factory) : IClassFixture<RegistrationBudgetFactory>
+{
+    private static async Task<HttpResponseMessage> ChallengeAsync(HttpClient client, string peer)
+    {
+        using var request = new HttpRequestMessage(HttpMethod.Get, "/auth/bifrost/challenge");
+        request.Headers.Add("X-Test-Peer", peer);
+        return await client.SendAsync(request);
+    }
+
+    [Fact]
+    public async Task The_request_past_the_address_budget_gets_429_and_another_address_is_unaffected()
+    {
+        using var client = factory.CreateClient();
+        for (var i = 0; i < 3; i++)
+        {
+            using var ok = await ChallengeAsync(client, "203.0.113.5");
+            Assert.Equal(HttpStatusCode.OK, ok.StatusCode);
+        }
+
+        using var refused = await ChallengeAsync(client, "203.0.113.5");
+        using var other = await ChallengeAsync(client, "203.0.113.6");
+
+        Assert.Equal(HttpStatusCode.TooManyRequests, refused.StatusCode);
+        Assert.True(refused.Headers.RetryAfter is not null);
+        Assert.Equal(HttpStatusCode.OK, other.StatusCode);
+    }
+
+    [Fact]
+    public async Task Challenge_and_register_spend_one_budget_and_a_refused_register_creates_nothing()
+    {
+        using var client = factory.CreateClient();
+        const string peer = "203.0.113.7";
+        for (var i = 0; i < 3; i++)
+        {
+            using var ok = await ChallengeAsync(client, peer);
+            Assert.Equal(HttpStatusCode.OK, ok.StatusCode);
+        }
+
+        using var request = new HttpRequestMessage(HttpMethod.Post, "/auth/bifrost/register")
+        {
+            Content = JsonContent.Create(new { identity = $"budget-{Guid.NewGuid():N}", acceptedNoticeVersion = TrainingNotice.Version })
+        };
+        request.Headers.Add("X-Test-Anonymous", "true");
+        request.Headers.Add("X-Test-Peer", peer);
+        using var response = await client.SendAsync(request);
+
+        Assert.Equal(HttpStatusCode.TooManyRequests, response.StatusCode);
+        using var scope = factory.Services.CreateScope();
+        Assert.DoesNotContain(scope.ServiceProvider.GetRequiredService<BifrostDbContext>().UserAccounts, x => x.NormalizedBifrostIdentity!.StartsWith("budget-"));
+    }
+}
+
+public sealed class RegistrationFullSetTests(RegistrationGateFactory factory) : IClassFixture<RegistrationGateFactory>
+{
+    [Fact]
+    public async Task A_full_consumed_set_makes_the_challenge_endpoint_answer_503()
+    {
+        var service = factory.Services.GetRequiredService<RegistrationChallengeService>();
+        for (var i = 0; i < RegistrationChallengeService.MaxConsumed; i++)
+        {
+            var c = service.Issue()!;
+            Assert.True(service.TryConsume(c.Challenge, RegistrationKit.Solve(c.Challenge, c.Difficulty)));
+        }
+
+        using var client = factory.CreateClient();
+        using var response = await client.GetAsync("/auth/bifrost/challenge");
+
+        Assert.Equal(HttpStatusCode.ServiceUnavailable, response.StatusCode);
+        factory.Time.Advance(RegistrationChallengeService.Lifetime + TimeSpan.FromSeconds(1));
+        using var after = await client.GetAsync("/auth/bifrost/challenge");
+        Assert.Equal(HttpStatusCode.OK, after.StatusCode);
+    }
+}
diff --git a/tests/Bifrost.Web.Tests/Support/TestWebApplicationFactory.cs b/tests/Bifrost.Web.Tests/Support/TestWebApplicationFactory.cs
index d152dbf..ff491db 100644
--- a/tests/Bifrost.Web.Tests/Support/TestWebApplicationFactory.cs
+++ b/tests/Bifrost.Web.Tests/Support/TestWebApplicationFactory.cs
@@ -39,6 +39,7 @@ public class TestWebApplicationFactory : WebApplicationFactory<Program>
                 ["ConceptVotes:MintPermits"] = "100000",
                 ["MindIntake:Permits"] = "100000",
                 ["Bifrost:Registration:Captcha:Difficulty"] = "4",
+                ["Bifrost:Registration:Limits:PerAddressPermits"] = "100000",
                 ["Host:PublicBaseUrl"] = "https://localhost",
                 ["Host:ExpectedHost"] = "localhost",
                 ["Host:RequireStrictHostValidation"] = "false",