s1224 — hardening s1221
receipts {'s1221': '223df3ac5e9efa17', 's1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 'substrate': '43341215b5224b20'}
  receipt   PASS   s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS   s121a_is_the_file_whose_potential_is_copied
  computed  PASS   the_two_generator_stacks_agree   [s121a np.stack(ph.G) vs s1217 np.stack(sub.G), all 133×56×56]
  computed  PASS   golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says   [V(c*) <1e-12, |∇V(c*)| <1e-09 (s121a base: −1.35e−15 / 2.83e−11)]
  computed  PASS   golden_vacuum_is_2lnphi_from_the_origin   [d(o, φ*) = 0.962424 vs 2 ln φ = 0.962424]
  computed  PASS   V1_H1_eight_random_points_at_eight_distances_are_all_T_fixed_up_to_gauge   [8 points, |c| ∈ {0.2 … 3.0}: max d <1e-11; classes [(6, 2)]; signs [1] (origin +1); all elements gauge (|ΔV| < 1e-10)]
  computed  PASS   V2_H2_phi_star_m_orbit_distance_multi_start   [min_g d(g·φ*, m) over 5 starts: best 0.0597, 5 of 5 within 1e-4 (sorted [0.0597, 0.0597, 0.0597, 0.0597, 0.0597]); gauge-fixed d(φ*, m) 0.44661]
  argument  ARG    reading

VERDICT s1221 HARDENED: gauge-covariant SM-1d T-fixedness holds at all 8 random points (|c| 0.2 – 3.0), class (6,2), origin orientation; φ*–m orbit distance 0.0597 (5/5 starts agree) against the gauge-fixed 0.44661.
RESULT_HASH db9b7b42279ad61d
s1224: 7 computed/receipt PASS-able, 1 argument, 0 failed
