diff --git a/src/libexpr/primops.cc b/src/libexpr/primops.cc
index 63624c520..e9c1f3b43 100644
--- a/src/libexpr/primops.cc
+++ b/src/libexpr/primops.cc
@@ -1107,7 +1107,7 @@ static void prim_derivationStrict(EvalState & state, const Pos & pos, Value * *
                 // Shouldn't happen as the toplevel derivation is not CA.
                 assert(false);
             },
-            [&](UnknownHashes) {
+            [&](DeferredHash _) {
                 for (auto & i : outputs) {
                     drv.outputs.insert_or_assign(i,
                         DerivationOutput {
diff --git a/src/libstore/build/derivation-goal.cc b/src/libstore/build/derivation-goal.cc
index b7bf866eb..f494545fb 100644
--- a/src/libstore/build/derivation-goal.cc
+++ b/src/libstore/build/derivation-goal.cc
@@ -504,9 +504,6 @@ void DerivationGoal::inputsRealised()
             Derivation drvResolved { *std::move(attempt) };
 
             auto pathResolved = writeDerivation(worker.store, drvResolved);
-            /* Add to memotable to speed up downstream goal's queries with the
-               original derivation. */
-            drvPathResolutions.lock()->insert_or_assign(drvPath, pathResolved);
 
             auto msg = fmt("Resolved derivation: '%s' -> '%s'",
                 worker.store.printStorePath(drvPath),
@@ -2096,18 +2093,14 @@ struct RestrictedStore : public LocalFSStore, public virtual RestrictedStoreConf
     }
 
     void registerDrvOutput(const Realisation & info) override
-    {
-        if (!goal.isAllowed(info.id.drvPath))
-            throw InvalidPath("cannot register unknown drv output '%s' in recursive Nix", printStorePath(info.id.drvPath));
-        next->registerDrvOutput(info);
-    }
+    // XXX: This should probably be allowed as a no-op if the realisation
+    // corresponds to an allowed derivation
+    { throw Error("registerDrvOutput"); }
 
     std::optional<const Realisation> queryRealisation(const DrvOutput & id) override
-    {
-        if (!goal.isAllowed(id.drvPath))
-            throw InvalidPath("cannot query the output info for unknown derivation '%s' in recursive Nix", printStorePath(id.drvPath));
-        return next->queryRealisation(id);
-    }
+    // XXX: This should probably be allowed if the realisation corresponds to
+    // an allowed derivation
+    { throw Error("queryRealisation"); }
 
     void buildPaths(const std::vector<StorePathWithOutputs> & paths, BuildMode buildMode) override
     {
@@ -3394,23 +3387,14 @@ void DerivationGoal::registerOutputs()
        means it's safe to link the derivation to the output hash. We must do
        that for floating CA derivations, which otherwise couldn't be cached,
        but it's fine to do in all cases. */
-    bool isCaFloating = drv->type() == DerivationType::CAFloating;
 
-    auto drvPathResolved = drvPath;
-    if (!useDerivation && isCaFloating) {
-        /* Once a floating CA derivations reaches this point, it
-           must already be resolved, so we don't bother trying to
-           downcast drv to get would would just be an empty
-           inputDrvs field. */
-        Derivation drv2 { *drv };
-        drvPathResolved = writeDerivation(worker.store, drv2);
-    }
-
-    if (settings.isExperimentalFeatureEnabled("ca-derivations"))
+    if (settings.isExperimentalFeatureEnabled("ca-derivations")) {
+        auto outputHashes = staticOutputHashes(worker.store, *drv);
         for (auto& [outputName, newInfo] : infos)
             worker.store.registerDrvOutput(Realisation{
-                .id = DrvOutput{drvPathResolved, outputName},
+                .id = DrvOutput{outputHashes.at(outputName), outputName},
                 .outPath = newInfo.path});
+    }
 }
 
 
diff --git a/src/libstore/derivations.cc b/src/libstore/derivations.cc
index 231ca26c2..5bcc7f012 100644
--- a/src/libstore/derivations.cc
+++ b/src/libstore/derivations.cc
@@ -496,10 +496,9 @@ static const DrvHashModulo pathDerivationModulo(Store & store, const StorePath &
  */
 DrvHashModulo hashDerivationModulo(Store & store, const Derivation & drv, bool maskOutputs)
 {
+    bool isDeferred = false;
     /* Return a fixed hash for fixed-output derivations. */
     switch (drv.type()) {
-    case DerivationType::CAFloating:
-        return UnknownHashes {};
     case DerivationType::CAFixed: {
         std::map<std::string, Hash> outputHashes;
         for (const auto & i : drv.outputs) {
@@ -512,6 +511,9 @@ DrvHashModulo hashDerivationModulo(Store & store, const Derivation & drv, bool m
         }
         return outputHashes;
     }
+    case DerivationType::CAFloating:
+        isDeferred = true;
+        break;
     case DerivationType::InputAddressed:
         break;
     case DerivationType::DeferredInputAddressed:
@@ -522,13 +524,16 @@ DrvHashModulo hashDerivationModulo(Store & store, const Derivation & drv, bool m
        calls to this function. */
     std::map<std::string, StringSet> inputs2;
     for (auto & i : drv.inputDrvs) {
-        bool hasUnknownHash = false;
         const auto & res = pathDerivationModulo(store, i.first);
         std::visit(overloaded {
             // Regular non-CA derivation, replace derivation
             [&](Hash drvHash) {
                 inputs2.insert_or_assign(drvHash.to_string(Base16, false), i.second);
             },
+            [&](DeferredHash deferredHash) {
+                isDeferred = true;
+                inputs2.insert_or_assign(deferredHash.hash.to_string(Base16, false), i.second);
+            },
             // CA derivation's output hashes
             [&](CaOutputHashes outputHashes) {
                 std::set<std::string> justOut = { "out" };
@@ -540,16 +545,37 @@ DrvHashModulo hashDerivationModulo(Store & store, const Derivation & drv, bool m
                         justOut);
                 }
             },
-            [&](UnknownHashes) {
-                hasUnknownHash = true;
-            },
         }, res);
-        if (hasUnknownHash) {
-            return UnknownHashes {};
-        }
     }
 
-    return hashString(htSHA256, drv.unparse(store, maskOutputs, &inputs2));
+    auto hash = hashString(htSHA256, drv.unparse(store, maskOutputs, &inputs2));
+
+    if (isDeferred)
+        return DeferredHash { hash };
+    else
+        return hash;
+}
+
+
+std::map<std::string, Hash> staticOutputHashes(Store& store, const Derivation& drv)
+{
+    std::map<std::string, Hash> res;
+    std::visit(overloaded {
+        [&](Hash drvHash) {
+            for (auto & outputName : drv.outputNames()) {
+                res.insert({outputName, drvHash});
+            }
+        },
+        [&](DeferredHash deferredHash) {
+            for (auto & outputName : drv.outputNames()) {
+                res.insert({outputName, deferredHash.hash});
+            }
+        },
+        [&](CaOutputHashes outputHashes) {
+            res = outputHashes;
+        },
+    }, hashDerivationModulo(store, drv, true));
+    return res;
 }
 
 
@@ -719,9 +745,6 @@ static void rewriteDerivation(Store & store, BasicDerivation & drv, const String
 
 }
 
-
-Sync<DrvPathResolutions> drvPathResolutions;
-
 std::optional<BasicDerivation> Derivation::tryResolve(Store & store) {
     BasicDerivation resolved { *this };
 
diff --git a/src/libstore/derivations.hh b/src/libstore/derivations.hh
index b966d6d90..4e5985fab 100644
--- a/src/libstore/derivations.hh
+++ b/src/libstore/derivations.hh
@@ -18,8 +18,6 @@ namespace nix {
 /* The traditional non-fixed-output derivation type. */
 struct DerivationOutputInputAddressed
 {
-    /* Will need to become `std::optional<StorePath>` once input-addressed
-       derivations are allowed to depend on cont-addressed derivations */
     StorePath path;
 };
 
@@ -174,12 +172,12 @@ std::string outputPathName(std::string_view drvName, std::string_view outputName
 // whose output hashes are always known since they are fixed up-front.
 typedef std::map<std::string, Hash> CaOutputHashes;
 
-struct UnknownHashes {};
+struct DeferredHash { Hash hash; };
 
 typedef std::variant<
     Hash, // regular DRV normalized hash
     CaOutputHashes, // Fixed-output derivation hashes
-    UnknownHashes // Deferred hashes for floating outputs drvs and their dependencies
+    DeferredHash // Deferred hashes for floating outputs drvs and their dependencies
 > DrvHashModulo;
 
 /* Returns hashes with the details of fixed-output subderivations
@@ -207,22 +205,18 @@ typedef std::variant<
  */
 DrvHashModulo hashDerivationModulo(Store & store, const Derivation & drv, bool maskOutputs);
 
+/*
+   Return a map associating each output to a hash that uniquely identifies its
+   derivation (modulo the self-references).
+ */
+std::map<std::string, Hash> staticOutputHashes(Store& store, const Derivation& drv);
+
 /* Memoisation of hashDerivationModulo(). */
 typedef std::map<StorePath, DrvHashModulo> DrvHashes;
 
 // FIXME: global, though at least thread-safe.
 extern Sync<DrvHashes> drvHashes;
 
-/* Memoisation of `readDerivation(..).resove()`. */
-typedef std::map<
-    StorePath,
-    std::optional<StorePath>
-> DrvPathResolutions;
-
-// FIXME: global, though at least thread-safe.
-// FIXME: arguably overlaps with hashDerivationModulo memo table.
-extern Sync<DrvPathResolutions> drvPathResolutions;
-
 bool wantOutput(const string & output, const std::set<string> & wanted);
 
 struct Source;
diff --git a/src/libstore/local-store.cc b/src/libstore/local-store.cc
index 69ab821d9..1539c94e2 100644
--- a/src/libstore/local-store.cc
+++ b/src/libstore/local-store.cc
@@ -659,7 +659,7 @@ void LocalStore::registerDrvOutput(const Realisation & info)
     auto state(_state.lock());
     retrySQLite<void>([&]() {
         state->stmts->RegisterRealisedOutput.use()
-            (info.id.drvPath.to_string())
+            (info.id.strHash())
             (info.id.outputName)
             (printStorePath(info.outPath))
             .exec();
@@ -879,17 +879,18 @@ StorePathSet LocalStore::queryValidDerivers(const StorePath & path)
 
 // Try to resolve the derivation at path `original`, with a caching layer
 // to make it more efficient
-std::optional<StorePath> cachedResolve(
-    LocalStore & store,
-    const StorePath & original)
+std::optional<Derivation> cachedResolve(
+    LocalStore& store,
+    const StorePath& original)
 {
+    // This is quite dirty and leaky, but will disappear once #4340 is merged
+    static Sync<std::map<StorePath, std::optional<Derivation>>> resolutionsCache;
     {
-        auto resolutions = drvPathResolutions.lock();
-        auto resolvedPathOptIter = resolutions->find(original);
-        if (resolvedPathOptIter != resolutions->end()) {
-            auto & [_, resolvedPathOpt] = *resolvedPathOptIter;
-            if (resolvedPathOpt)
-                return resolvedPathOpt;
+        auto resolutions = resolutionsCache.lock();
+        auto resolvedDrvIter = resolutions->find(original);
+        if (resolvedDrvIter != resolutions->end()) {
+            auto & [_, resolvedDrv] = *resolvedDrvIter;
+                return *resolvedDrv;
         }
     }
 
@@ -898,12 +899,9 @@ std::optional<StorePath> cachedResolve(
     auto attempt = drv.tryResolve(store);
     if (!attempt)
         return std::nullopt;
-    /* Just compute store path */
-    auto pathResolved =
-        writeDerivation(store, *std::move(attempt), NoRepair, true);
     /* Store in memo table. */
-    drvPathResolutions.lock()->insert_or_assign(original, pathResolved);
-    return pathResolved;
+    resolutionsCache.lock()->insert_or_assign(original, *attempt);
+    return *attempt;
 }
 
 std::map<std::string, std::optional<StorePath>>
@@ -933,26 +931,24 @@ LocalStore::queryPartialDerivationOutputMap(const StorePath& path_)
 
     auto drv = readDerivation(path);
 
-    for (auto & output : drv.outputsAndOptPaths(*this)) {
-        outputs.emplace(output.first, std::nullopt);
-    }
-
     auto resolvedDrv = cachedResolve(*this, path);
 
-    if (!resolvedDrv)
+    if (!resolvedDrv) {
+        for (auto& [outputName, _] : drv.outputsAndOptPaths(*this)) {
+            if (!outputs.count(outputName))
+                outputs.emplace(outputName, std::nullopt);
+        }
         return outputs;
+    }
 
-    retrySQLite<void>([&]() {
-        auto state(_state.lock());
-        path = *resolvedDrv;
-        auto useQueryDerivationOutputs{
-            state->stmts->QueryAllRealisedOutputs.use()(path.to_string())};
-
-        while (useQueryDerivationOutputs.next())
-            outputs.insert_or_assign(
-                useQueryDerivationOutputs.getStr(0),
-                parseStorePath(useQueryDerivationOutputs.getStr(1)));
-    });
+    auto resolvedDrvHashes = staticOutputHashes(*this, *resolvedDrv);
+    for (auto& [outputName, hash] : resolvedDrvHashes) {
+        auto realisation = queryRealisation(DrvOutput{hash, outputName});
+        if (realisation)
+            outputs.insert_or_assign(outputName, realisation->outPath);
+        else
+            outputs.insert_or_assign(outputName, std::nullopt);
+    }
 
     return outputs;
 }
@@ -1695,12 +1691,11 @@ std::optional<const Realisation> LocalStore::queryRealisation(
     typedef std::optional<const Realisation> Ret;
     return retrySQLite<Ret>([&]() -> Ret {
         auto state(_state.lock());
-        auto use(state->stmts->QueryRealisedOutput.use()(id.drvPath.to_string())(
+        auto use(state->stmts->QueryRealisedOutput.use()(id.strHash())(
             id.outputName));
         if (!use.next())
             return std::nullopt;
         auto outputPath = parseStorePath(use.getStr(0));
-        auto resolvedDrv = StorePath(use.getStr(1));
         return Ret{
             Realisation{.id = id, .outPath = outputPath}};
     });
diff --git a/src/libstore/realisation.cc b/src/libstore/realisation.cc
index 47db1ec9f..47ad90eee 100644
--- a/src/libstore/realisation.cc
+++ b/src/libstore/realisation.cc
@@ -7,18 +7,18 @@ namespace nix {
 MakeError(InvalidDerivationOutputId, Error);
 
 DrvOutput DrvOutput::parse(const std::string &strRep) {
-    const auto &[rawPath, outputs] = parsePathWithOutputs(strRep);
-    if (outputs.size() != 1)
+    size_t n = strRep.find("!");
+    if (n == strRep.npos)
         throw InvalidDerivationOutputId("Invalid derivation output id %s", strRep);
 
     return DrvOutput{
-        .drvPath = StorePath(rawPath),
-        .outputName = *outputs.begin(),
+        .drvHash = Hash::parseAnyPrefixed(strRep.substr(0, n)),
+        .outputName = strRep.substr(n+1),
     };
 }
 
 std::string DrvOutput::to_string() const {
-    return std::string(drvPath.to_string()) + "!" + outputName;
+    return strHash() + "!" + outputName;
 }
 
 nlohmann::json Realisation::toJSON() const {
diff --git a/src/libstore/realisation.hh b/src/libstore/realisation.hh
index 08579b739..4b8ead3c5 100644
--- a/src/libstore/realisation.hh
+++ b/src/libstore/realisation.hh
@@ -6,11 +6,15 @@
 namespace nix {
 
 struct DrvOutput {
-    StorePath drvPath;
+    // The hash modulo of the derivation
+    Hash drvHash;
     std::string outputName;
 
     std::string to_string() const;
 
+    std::string strHash() const
+    { return drvHash.to_string(Base16, true); }
+
     static DrvOutput parse(const std::string &);
 
     bool operator<(const DrvOutput& other) const { return to_pair() < other.to_pair(); }
@@ -18,8 +22,8 @@ struct DrvOutput {
 
 private:
     // Just to make comparison operators easier to write
-    std::pair<StorePath, std::string> to_pair() const
-    { return std::make_pair(drvPath, outputName); }
+    std::pair<Hash, std::string> to_pair() const
+    { return std::make_pair(drvHash, outputName); }
 };
 
 struct Realisation {