diff --git a/.claude/scheduled_tasks.lock b/.claude/scheduled_tasks.lock
index b12e72a3..81ae3846 100644
--- a/.claude/scheduled_tasks.lock
+++ b/.claude/scheduled_tasks.lock
@@ -1 +1 @@
-{"sessionId":"4759827d-a890-479a-b9fd-8fb2951be225","pid":2159,"acquiredAt":1776363341090}
\ No newline at end of file
+{"sessionId":"4759827d-a890-479a-b9fd-8fb2951be225","pid":6894,"acquiredAt":1776385589030}
\ No newline at end of file
diff --git a/src/simulator/crates/mc-turn/src/gpu/fauna_encounter.wgsl b/src/simulator/crates/mc-turn/src/gpu/fauna_encounter.wgsl
index 9a3805b4..6b66634f 100644
--- a/src/simulator/crates/mc-turn/src/gpu/fauna_encounter.wgsl
+++ b/src/simulator/crates/mc-turn/src/gpu/fauna_encounter.wgsl
@@ -61,11 +61,11 @@ fn mul64(al: u32, ah: u32, bl: u32, bh: u32) -> vec2<u32> {
 }
 
 // SplitMix64 step matching hash_mix(state, 0xDEADBEEFCAFEBABE) in processor.rs.
-// Combined addend: 0xDEADBEEFCAFEBABE + 0x9E3779B97F4A7C15 = 0x7CE538A94A493673
+// Combined addend: 0xDEADBEEFCAFEBABE + 0x9E3779B97F4A7C15 = 0x7CE538A94A4936D3
 // (wrapping add in u64).
 fn smix_step(lo: u32, hi: u32) -> vec2<u32> {
     // z = state + combined_const
-    let c_lo = 0x4A493673u;
+    let c_lo = 0x4A4936D3u;
     let c_hi = 0x7CE538A9u;
     var zl = lo + c_lo;
     var zh = hi + c_hi + select(0u, 1u, zl < lo);
@@ -113,9 +113,9 @@ fn main(@builtin(global_invocation_id) gid: vec3<u32>) {
     if uid >= uni.n_units { return; }
 
     let tile = unit_tiles[uid];
-    let meta = unit_meta[uid];
-    let pi   = (meta >> 1u) & 0x7Fu;
-    let fort = (meta & 1u) != 0u;
+    let um   = unit_meta[uid];
+    let pi   = (um >> 1u) & 0x7Fu;
+    let fort = (um & 1u) != 0u;
 
     var rlo = player_rng[pi * 2u];
     var rhi = player_rng[pi * 2u + 1u];
diff --git a/src/simulator/crates/mc-turn/src/gpu/mod.rs b/src/simulator/crates/mc-turn/src/gpu/mod.rs
index c82a2061..0859efdf 100644
--- a/src/simulator/crates/mc-turn/src/gpu/mod.rs
+++ b/src/simulator/crates/mc-turn/src/gpu/mod.rs
@@ -462,6 +462,58 @@ mod inner {
                 "GPU kill_flags must be byte-identical to CPU across {TURNS} turns with seed={SEED}");
         }
 
+        /// Scalar parity: smix_step(lo, hi) == hash_mix(state, SALT) for N iterations.
+        /// Catches any constant or bit-shift mismatch between CPU and WGSL.
+        #[test]
+        fn smix_step_matches_cpu_hash_mix() {
+            let ctx = match GpuContext::try_init() {
+                Some(c) => c,
+                None => {
+                    eprintln!("[gpu-test] No GPU adapter — skipping smix_step_matches_cpu_hash_mix");
+                    return;
+                }
+            };
+
+            // Drive 16 single-unit dispatches with no lairs so the only RNG output
+            // is the unchanged rng_state readback.  We verify state evolves identically.
+            let cfg = LairCombatConfig::default();
+            let empty_csr = LairIndexCsr { offsets: vec![0u32; 2], flat_lair_ids: vec![] };
+            let lair_tiers: Vec<u32> = vec![];
+
+            let mut cpu_state: u64 = 0xDEAD_C0DE_1234_5678;
+            let mut gpu_state: u64 = cpu_state;
+
+            for _ in 0..16 {
+                // CPU: one rand_unit call = one hash_mix step
+                let (_, next) = rand_unit(cpu_state);
+                cpu_state = next;
+
+                // GPU: dispatch a single unit on a tile with no lairs.
+                // The kernel still calls smix_step once for the (skipped) encounter roll.
+                let unit = GpuUnit { tile_idx: 0, meta: 0 };
+                // Patch csr so tile 0 has one lair entry (forcing one encounter roll).
+                let one_lair_csr = LairIndexCsr {
+                    offsets: vec![0u32, 1u32, 1u32],
+                    flat_lair_ids: vec![0u32],
+                };
+                let one_tier: Vec<u32> = vec![1u32];
+                ctx.dispatch_player_fauna(
+                    &[unit],
+                    0,
+                    &mut gpu_state,
+                    &one_lair_csr,
+                    &one_tier,
+                    2,
+                    1,
+                    &cfg,
+                );
+            }
+
+            // After 16 identical steps the states must agree.
+            assert_eq!(cpu_state, gpu_state,
+                "smix_step must produce byte-identical output to CPU hash_mix after 16 steps");
+        }
+
         /// Fallback: when no GPU is available, dispatch returns empty without panicking.
         #[test]
         fn graceful_when_no_gpu() {