{
  "kind": "Exact mathematical support slices, module maps and certified rational coefficient enclosures",
  "coordinate_map": {
    "base": "F(t,x)=(t-x^2/2,x)",
    "cotangent": "tau_new=tau, z_new=z+x",
    "input_jacobian": 1,
    "normal_at_u_zero": "w_new=w-zeta^2/2, zeta_new=zeta",
    "real_pulled_back_halfspace": "t<x^2/2",
    "target_cone": "l_new=-Re w_new>=0, |zeta|<=l_new, |Im w_new|<=l_new/4",
    "normal_radius": "|zeta|<=1/2",
    "old_containing_cone": "|zeta|<=4l/3, |Im w|<=2l/3, l=-Re w",
    "full_complex_polar_margin": "3/sqrt(29)",
    "real_slice_polar_margin": "3/5",
    "proof": "BCT.1--BCT.3; BCT.45--BCT.47"
  },
  "balanced_comparison": {
    "maps": "Psi_B and Psi_C are the exact full tensor isomorphisms induced by the compatible E,B,C coordinate maps",
    "identity": "Psi_C eta_Mprime=eta_M Psi_B",
    "scope": "Every algebraic left E module for the stated linear/time-shift changes; no C flatness",
    "proof": "BCT.32--BCT.37"
  },
  "positive_head_example": {
    "input": "H(tau)/(1-z), H(tau)=sum tau^m/(m!)^2",
    "phi": "x^2/2",
    "a_K": "(2K)!/(2^K K!)",
    "Q": "sum tau^-K a_K/(1-x-z)^(2K+1)",
    "inverse_identity": "((1-x)D_t-D_x) Q=D_t",
    "coefficient_summand": "b_jK=(2K)!/(2^K K!(j+K)!^2)",
    "proof": "BCT.38--BCT.43",
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  },
  "no_nonbase_real_contact_quantization_claimed": true
}