s1225 — the full one-loop along the Φ_odd line
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]
  receipt   PASS   s640_lib_is_the_S220_A_layer_executed_verbatim
  receipt   PASS   s646_is_the_source_of_the_SV_vector_operator_executed_verbatim
  receipt   PASS   s645c_results_hold_the_P6_gradient_reproduced_here
  computed  PASS   the_S220_frame_is_this_kernels_frame   [_s640_frame S70 / cstar / Θ equal to s121a's, element for element]
  computed  PASS   O1_the_evaluator_reproduces_S220s_P6_one_loop_gradient   [dV₁/dt along U_flats[:,0], [:,5] = -6.7548e-03, 5.4322e-03 vs s645c -6.7548e-03, 5.4322e-03: max rel <1e-05]
  computed  PASS   O2_V1_is_gauge_invariant   [|V₁(g·φ*) − V₁(φ*)| <1e-10 for a random gauge element]
  computed  PASS   O3_master_gate_holds_along_L_and_StrM8_is_positive   [max over u of |STr M²| <1e-06, |STr M⁴| <1e-06, |STr M⁶| <1e-05; min STr M⁸ 2520.0]
  computed  PASS   O4_V1_on_L_has_one_interior_minimum_neither_m_nor_golden   [quartic fit on u = [np.float64(0.0), np.float64(0.1), np.float64(0.2), np.float64(0.3), np.float64(0.5), np.float64(1.0)]: stationary u* = [0.209] (['min']); dV₁/du at u = 0: -1.576e-04, at u = 1: 5.882e-04]
  argument  ARG    reading

VERDICT FULL ONE-LOOP ON L (S220 evaluator, P6 reproduced): V₁ gauge-invariant, master gate holds along L (STr M⁸ ≈ 2520 > 0), single interior minimum at u* ≈ 0.21 — neither m nor φ*; φ*'s nonzero slope is S220's P6.
RESULT_HASH 78de8fd3b0cc3135
s1225: 13 computed/receipt PASS-able, 1 argument, 0 failed
