diff --git a/code/check_consistency.py b/code/check_consistency.py
index 384ab21..64fc92c 100644
--- a/code/check_consistency.py
+++ b/code/check_consistency.py
@@ -233,13 +233,41 @@ if HAVE_TEX:
 # so the quoted floor must track the data and not one lucky draw.
 kl = rows("sec_keylen.csv")
 floor = min(float(r["eve_ser"]) for r in kl)
-chk("eavesdropper floor over key length", abs(floor - 0.9984) < 5e-4,
+chk("eavesdropper floor over key length", 0.9983 < floor < 0.9984,
     "%.6f" % floor)
 if HAVE_TEX:
-    chk("quoted eavesdropper floor in tex", "$0.9984$" in tex,
+    chk("quoted eavesdropper floor in tex", "$0.9983$" in tex,
         "searched tex", needs_tex=True)
 
 
+# --- quantities that used to be quoted with no artifact ---------------
+import json as _json
+rs = _json.load(open(base / "data" / "real_sec_stats.json"))
+chk("token collision probability", abs(rs["token_collision"] - 0.0065) < 5e-5,
+    "%.6f" % rs["token_collision"])
+vm = {r["check"]: r for r in rows("verify_math.csv")}
+chk("V5 matched-over-blind ratio stored",
+    "V5 matched bias over blind RMS" in vm,
+    ", ".join(sorted(vm))[:60])
+chk("V8 cross-period remainder",
+    abs(float(vm["V8 cross-period remainder"]["empirical"])) < 5e-4,
+    vm["V8 cross-period remainder"]["empirical"])
+
+# --- information-theoretic leakage, which no assertion covered ---------
+it = {float(r["snr_db"]): r for r in rows("infotheory.csv")}[10.0]
+chk("fixed-key leakage 1.34 bits",
+    abs(float(it["mi_eve_fixed_bits"]) - 1.34) < 5e-3, it["mi_eve_fixed_bits"])
+chk("distinguishing advantage 0.27",
+    abs(float(it["tv_fixed"]) - 0.27) < 5e-3, it["tv_fixed"])
+chk("refreshed leakage 0.055 bits",
+    abs(float(it["mi_eve_refresh_bits"]) - 0.055) < 5e-4,
+    it["mi_eve_refresh_bits"])
+chk("secrecy rate 14.87 of 14.93",
+    abs(float(it["secrecy_rate_refresh_bits"]) - 14.87) < 5e-3
+    and abs(float(it["mi_legit_bits"]) - 14.93) < 5e-3,
+    "%s of %s" % (it["secrecy_rate_refresh_bits"], it["mi_legit_bits"]))
+
+
 # --- tables against their generator -----------------------------------
 # Every printed table cell must be the one make_tables.py derives from
 # data/, so a rerun that moves a number cannot leave the manuscript behind.
@@ -273,3 +301,6 @@ chk("abstract has no abbreviations",
 
 print()
 print("ALL CONSISTENT" if ok else "INCONSISTENCIES FOUND")
+# a checker that always exits zero cannot gate anything
+import sys as _sys
+_sys.exit(0 if ok else 1)
diff --git a/code/exp_real_sec.py b/code/exp_real_sec.py
index 357a7f0..1591530 100644
--- a/code/exp_real_sec.py
+++ b/code/exp_real_sec.py
@@ -189,6 +189,10 @@ def main():
         "repeats": REPEATS,
         "decisions_per_point": N * U * REPEATS,
         "distinct_tokens": int(torch.unique(ids_all).numel()),
+        # the chance that two independently drawn tokens coincide, which
+        # is the floor the insider TER is measured against
+        "token_collision": float(((torch.bincount(ids_all.reshape(-1)).double()
+                                  / ids_all.numel()) ** 2).sum()),
         "max_token_id": int(ids_all.max()),
         "headlines_scored": sum(len(b) for b in bounds),
         "headline_runs": REC_RUNS,
diff --git a/code/verify_math.py b/code/verify_math.py
index 585b363..eb6264c 100644
--- a/code/verify_math.py
+++ b/code/verify_math.py
@@ -185,6 +185,10 @@ def v5_matched_jammer_concentrates():
     print(f"[{'PASS' if ok else 'FAIL'}] V5 matched bias / blind RMS: "
           f"matched={bm:.3f} blind_rms={brms:.4f} ratio={ratio:.1f} "
           f"(claim sqrt(d)={np.sqrt(D):.1f})")
+    ROWS.append(("V5 matched bias over blind RMS",
+                 "%.1f" % np.sqrt(D), "%.1f" % ratio,
+                 "%.2f" % abs(ratio - np.sqrt(D)), "1.0",
+                 "PASS" if ok else "FAIL"))
     return ok
 
 
@@ -260,16 +264,19 @@ def v8_cross_period_terms():
     import math
     import torch
     from exp_full import main_model
-    torch.manual_seed(7)
     m = main_model()
     Bn = m.unit_codebook().detach().cpu()
     pat = m.masks().detach().cpu()[0]
     L, P, d = m.L, m.P, m.d
+    # a generator of its own, seeded after the model is built: seeding the
+    # global one first leaves the draw dependent on how main_model consumed
+    # it, which moved this number between runs
+    g = torch.Generator().manual_seed(7)
     rel = []
-    for _ in range(300):
-        w = torch.randn(d)
+    for _ in range(20000):
+        w = torch.randn(d, generator=g)
         w /= w.norm()
-        i = torch.randint(m.vu, (P,))
+        i = torch.randint(m.vu, (P,), generator=g)
         e = (Bn[i] / math.sqrt(P)).reshape(-1)
         a = (w * e).reshape(P, L) * pat[None, :]
         diag = float((a ** 2).sum())
diff --git a/data/real_sec_stats.json b/data/real_sec_stats.json
index f362aff..673e7d0 100644
--- a/data/real_sec_stats.json
+++ b/data/real_sec_stats.json
@@ -5,6 +5,7 @@
  "repeats": 8,
  "decisions_per_point": 799936,
  "distinct_tokens": 10486,
+ "token_collision": 0.006535221793661566,
  "max_token_id": 29599,
  "headlines_scored": 1948,
  "headline_runs": 4,
diff --git a/data/verify_math.csv b/data/verify_math.csv
index 8c715b5..a7267e8 100644
--- a/data/verify_math.csv
+++ b/data/verify_math.csv
@@ -8,6 +8,7 @@ V2b eve SER @ 80dB,0.99609375,0.9896666666666667,0.0064270833333333055,0.015,PAS
 V3b random mask E|corr|,0.09973557010035818,0.10187042771408686,0.002134857613728683,0.009973557010035819,PASS
 V4a blind jammer projection mean,0.0,0.00026396107284673695,0.00026396107284673695,0.003,PASS
 V4b blind jammer projection variance,0.01558576233568703,0.015476787953278994,0.00010897438240803532,0.0007792881167843516,PASS
+V5 matched bias over blind RMS,8.0,8.0,0.04,1.0,PASS
 V6 coded-OMA outage @ 10 dB,0.0406,0.040575,0,0,REFERENCE
 V7 symbolic identities,exact,exact,0,0,PASS
-V8 cross-period remainder,0.0,-0.001285,0.001285,0.01,PASS
+V8 cross-period remainder,0.0,0.000337,0.000337,0.01,PASS