{
  "meta": {
    "script": "trace_all_signals_spx_corrected.py",
    "run_date": "2026-03-22 17:01",
    "n_dates": 359,
    "date_range": "2024-06-24 \u2013 2026-03-20",
    "fwd_hours": 3,
    "n_perms": 1000,
    "is_frac": 0.6,
    "spot_source": "intradayDelta 'spot' col (delta ladder; median per snapshot \u2248 SPX spot)",
    "return_source": "SPX 5-min (2025-06-25+) else ES 1-min; % return equivalent as offset cancels",
    "exclusions": {
      "corruption": "2025-10-27 \u2013 2026-02-17",
      "fomc_count": 57
    }
  },
  "signal_results": {
    "mm_tilt": {
      "name": "A1. MM Tilt",
      "n": 351,
      "ic": 0.1779,
      "p": 0.0008,
      "perm_p": 0.001,
      "is_oos": {
        "is_ic": 0.2143,
        "is_p": 0.0018,
        "oos_ic": 0.1406,
        "oos_p": 0.0963,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "total_net_gamma_m": {
      "name": "A2. Gamma Contrarian (total net gamma)",
      "n": 351,
      "ic": -0.0163,
      "p": 0.7604,
      "perm_p": 0.744,
      "is_oos": {
        "is_ic": -0.0019,
        "is_p": 0.9787,
        "oos_ic": -0.0187,
        "oos_p": 0.826,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "mm_asymmetry_m": {
      "name": "A3. MM Asymmetry (above\u2212below)",
      "n": 351,
      "ic": 0.0548,
      "p": 0.3063,
      "perm_p": 0.318,
      "is_oos": {
        "is_ic": 0.0975,
        "is_p": 0.1592,
        "oos_ic": 0.0315,
        "oos_p": 0.7112,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "cust_asymmetry_m": {
      "name": "A4. Fade Retail \u2014 cust asymmetry",
      "n": 351,
      "ic": -0.0336,
      "p": 0.5307,
      "perm_p": 0.505,
      "is_oos": {
        "is_ic": -0.0488,
        "is_p": 0.4819,
        "oos_ic": -0.0766,
        "oos_p": 0.3665,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "cust_tilt": {
      "name": "A4b. Cust Tilt",
      "n": 351,
      "ic": -0.0441,
      "p": 0.4096,
      "perm_p": 0.418,
      "is_oos": {
        "is_ic": -0.0993,
        "is_p": 0.1516,
        "oos_ic": 0.0075,
        "oos_p": 0.9297,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "mm_total_gamma_m": {
      "name": "A5. CUM MM total gamma",
      "n": 351,
      "ic": -0.0029,
      "p": 0.9564,
      "perm_p": 0.952,
      "is_oos": {
        "is_ic": 0.0191,
        "is_p": 0.7828,
        "oos_ic": -0.0468,
        "oos_p": 0.5816,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "mm_center_dist": {
      "name": "A6. MM Gamma Centre (abs-weight)",
      "n": 351,
      "ic": 0.0031,
      "p": 0.9532,
      "perm_p": 0.958,
      "is_oos": {
        "is_ic": 0.0341,
        "is_p": 0.6236,
        "oos_ic": -0.0447,
        "oos_p": 0.5986,
        "n_is": 210,
        "n_oos": 141
      },
      "aliases": [
        "E2a. MM centre direction"
      ]
    },
    "mm_center_signed_dist": {
      "name": "A6b. MM Gamma Centre (signed-weight)",
      "n": 351,
      "ic": 0.0128,
      "p": 0.8115,
      "perm_p": 0.802,
      "is_oos": {
        "is_ic": 0.0165,
        "is_p": 0.8124,
        "oos_ic": 0.0511,
        "oos_p": 0.5474,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "mm_flow_m": {
      "name": "A7. MM Gamma Flow",
      "n": 351,
      "ic": 0.1086,
      "p": 0.0421,
      "perm_p": 0.034,
      "is_oos": {
        "is_ic": 0.0903,
        "is_p": 0.1925,
        "oos_ic": 0.142,
        "oos_p": 0.0931,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "dominant_strike_dist": {
      "name": "E1. Dominant Strike Distance",
      "n": 351,
      "ic": 0.0058,
      "p": 0.9136,
      "perm_p": 0.912,
      "is_oos": {
        "is_ic": 0.0474,
        "is_p": 0.4945,
        "oos_ic": -0.0476,
        "oos_p": 0.5753,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "cust_center_dist": {
      "name": "E2b. CUST centre direction",
      "n": 351,
      "ic": 0.045,
      "p": 0.4007,
      "perm_p": 0.402,
      "is_oos": {
        "is_ic": 0.0324,
        "is_p": 0.6409,
        "oos_ic": 0.056,
        "oos_p": 0.5095,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "procust_center_dist": {
      "name": "E2c. PROCUST centre direction",
      "n": 351,
      "ic": -0.0055,
      "p": 0.9189,
      "perm_p": 0.918,
      "is_oos": {
        "is_ic": -0.0213,
        "is_p": 0.7588,
        "oos_ic": 0.0163,
        "oos_p": 0.848,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "firm_center_dist": {
      "name": "E2d. FIRM centre direction",
      "n": 351,
      "ic": 0.0187,
      "p": 0.7266,
      "perm_p": 0.709,
      "is_oos": {
        "is_ic": 0.0855,
        "is_p": 0.2172,
        "oos_ic": -0.0793,
        "oos_p": 0.3498,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "bd_center_dist": {
      "name": "E2e. BD centre direction",
      "n": 351,
      "ic": 0.0366,
      "p": 0.4942,
      "perm_p": 0.516,
      "is_oos": {
        "is_ic": 0.0481,
        "is_p": 0.488,
        "oos_ic": 0.1234,
        "oos_p": 0.1448,
        "n_is": 210,
        "n_oos": 141
      }
    },
    "E4_gamma_vs_range": {
      "name": "E4. Gamma Magnitude vs Day Range",
      "n": 348,
      "ic": -0.4675,
      "p": 0.0,
      "perm_p": 0.0,
      "is_oos": {
        "is_ic": -0.58,
        "is_p": 0.0,
        "oos_ic": -0.323,
        "oos_p": 0.0001,
        "n_is": 208,
        "n_oos": 140
      },
      "note": "negative IC expected: high gamma \u2192 smaller daily range (pinning)"
    },
    "who_to_follow": {
      "mm": {
        "name": "MM centre",
        "n": 351,
        "ic": 0.0031,
        "p": 0.9532,
        "perm_p": 0.956,
        "is_oos": {
          "is_ic": 0.0341,
          "is_p": 0.6236,
          "oos_ic": -0.0447,
          "oos_p": 0.5986,
          "n_is": 210,
          "n_oos": 141
        }
      },
      "cust": {
        "name": "CUST centre",
        "n": 351,
        "ic": 0.045,
        "p": 0.4007,
        "perm_p": 0.398,
        "is_oos": {
          "is_ic": 0.0324,
          "is_p": 0.6409,
          "oos_ic": 0.056,
          "oos_p": 0.5095,
          "n_is": 210,
          "n_oos": 141
        }
      },
      "procust": {
        "name": "PROCUST centre",
        "n": 351,
        "ic": -0.0055,
        "p": 0.9189,
        "perm_p": 0.914,
        "is_oos": {
          "is_ic": -0.0213,
          "is_p": 0.7588,
          "oos_ic": 0.0163,
          "oos_p": 0.848,
          "n_is": 210,
          "n_oos": 141
        }
      },
      "firm": {
        "name": "FIRM centre",
        "n": 351,
        "ic": 0.0187,
        "p": 0.7266,
        "perm_p": 0.732,
        "is_oos": {
          "is_ic": 0.0855,
          "is_p": 0.2172,
          "oos_ic": -0.0793,
          "oos_p": 0.3498,
          "n_is": 210,
          "n_oos": 141
        }
      },
      "bd": {
        "name": "BD centre",
        "n": 351,
        "ic": 0.0366,
        "p": 0.4942,
        "perm_p": 0.519,
        "is_oos": {
          "is_ic": 0.0481,
          "is_p": 0.488,
          "oos_ic": 0.1234,
          "oos_p": 0.1448,
          "n_is": 210,
          "n_oos": 141
        }
      }
    }
  },
  "observations": [
    {
      "date": "2024-06-24",
      "snap_ts": "2024-06-24 09:30:00-04:00",
      "spx_spot": 5457.5,
      "fwd_ret_3h": 0.2847,
      "day_range": 44.0,
      "mm_tilt": 0.770854,
      "total_net_gamma_m": 40.331426,
      "mm_asymmetry_m": 121.996186,
      "cust_tilt": -0.938202,
      "cust_asymmetry_m": -137.71057,
      "mm_total_gamma_m": 225.206741,
      "mm_center_dist": 1.222615,
      "mm_center_signed_dist": 25.896644,
      "mm_flow_m": 26.639493,
      "dominant_strike_dist": 12.5,
      "cust_center_dist": 4.185553,
      "procust_center_dist": 1.068147,
      "firm_center_dist": 6.396376,
      "bd_center_dist": -24.103399,
      "total_abs_gamma_b": 1.146785
    },
    {
      "date": "2024-06-25",
      "snap_ts": "2024-06-25 09:30:00-04:00",
      "spx_spot": 5455.0,
      "fwd_ret_3h": -0.0498,
      "day_range": 28.0,
      "mm_tilt": 0.736211,
      "total_net_gamma_m": 1.490837,
      "mm_asymmetry_m": 25.689431,
      "cust_tilt": -0.367362,
      "cust_asymmetry_m": -55.432633,
      "mm_total_gamma_m": 54.378051,
      "mm_center_dist": -2.837142,
      "mm_center_signed_dist": 42.081906,
      "mm_flow_m": -2.452117,
      "dominant_strike_dist": -30.0,
      "cust_center_dist": 1.072977,
      "procust_center_dist": -2.751959,
      "firm_center_dist": 5.551276,
      "bd_center_dist": -26.847235,
      "total_abs_gamma_b": 0.88742
    },
    {
      "date": "2024-06-26",
      "snap_ts": "2024-06-26 09:30:00-04:00",
      "spx_spot": 5477.5,
      "fwd_ret_3h": 0.2172,
      "day_range": 32.75,
      "mm_tilt": 0.446393,
      "total_net_gamma_m": 16.047841,
      "mm_asymmetry_m": -25.790453,
      "cust_tilt": -0.24876,
      "cust_asymmetry_m": 84.104326,
      "mm_total_gamma_m": 240.552509,
      "mm_center_dist": -13.760243,
      "mm_center_signed_dist": -18.376235,
      "mm_flow_m": -1.95035,
      "dominant_strike_dist": 12.5,
      "cust_center_dist": -14.58128,
      "procust_center_dist": -20.17596,
      "firm_center_dist": -11.01893,
      "bd_center_dist": -24.136361,
      "total_abs_gamma_b": 1.02763
    },
    {
      "date": "2024-06-27",
      "snap_ts": "2024-06-27 09:30:00-04:00",
      "spx_spot": 5465.0,
      "fwd_ret_3h": -0.1351,
      "day_range": 25.0,
      "mm_tilt": 0.855716,
      "total_net_gamma_m": 53.318435,
      "mm_asymmetry_m": 228.831723,
      "cust_tilt": -0.94793,
      "cust_asymmetry_m": -174.039769,
      "mm_total_gamma_m": 321.649894,
      "mm_center_dist": 31.140098,
      "mm_center_signed_dist": 40.190769,
      "mm_flow_m": 102.284773,
      "dominant_strike_dist": 35.0,
      "cust_center_dist": 34.953808,
      "procust_center_dist": 25.858602,
      "firm_center_dist": 32.78952,
      "bd_center_dist": -10.827949,
      "total_abs_gamma_b": 0.98115
    },
    {
      "date": "2024-06-28",
      "snap_ts": "2024-06-28 09:30:00-04:00",
      "spx_spot": 5492.5,
      "fwd_ret_3h": -0.4092,
      "day_range": 74.25,
      "mm_tilt": 0.896784,
      "total_net_gamma_m": 45.741493,
      "mm_asymmetry_m": 168.588247,
      "cust_tilt": -0.741053,
      "cust_asymmetry_m": -62.96515,
      "mm_total_gamma_m": 212.443469,
      "mm_center_dist": 25.189802,
      "mm_center_signed_dist": 54.767563,
      "mm_flow_m": 30.210887,
      "dominant_strike_dist": 12.5,
      "cust_center_dist": 25.626778,
      "procust_center_dist": 6.554284,
      "firm_center_dist": 16.619433,
      "bd_center_dist": -6.355409,
      "total_abs_gamma_b": 1.048516
    },
    {
      "date": "2024-07-01",
      "snap_ts": "2024-07-01 09:30:00-04:00",
      "spx_spot": 5472.5,
      "fwd_ret_3h": 0.0045,
      "day_range": 35.0,
      "mm_tilt": 0.53405,
      "total_net_gamma_m": 67.350301,
      "mm_asymmetry_m": 17.622171,
      "cust_tilt": -0.653156,
      "cust_asymmetry_m": -31.298779,
      "mm_total_gamma_m": 258.769773,
      "mm_center_dist": -6.707692,
      "mm_center_signed_dist": 1.469478,
      "mm_flow_m": -55.317263,
      "dominant_strike_dist": 27.5,
      "cust_center_dist": -7.327195,
      "procust_center_dist": -6.268628,
      "firm_center_dist": 4.416357,
      "bd_center_dist": -6.766646,
      "total_abs_gamma_b": 0.879601
    },
    {
      "date": "2024-07-02",
      "snap_ts": "2024-07-02 09:30:00-04:00",
      "spx_spot": 5467.5,
      "fwd_ret_3h": 0.0452,
      "day_range": 54.75,
      "mm_tilt": 0.791956,
      "total_net_gamma_m": 61.0514,
      "mm_asymmetry_m": 189.507514,
      "cust_tilt": -0.951657,
      "cust_asymmetry_m": -153.13528,
      "mm_total_gamma_m": 324.548104,
      "mm_center_dist": 15.017715,
      "mm_center_signed_dist": 26.07642,
      "mm_flow_m": 63.856574,
      "dominant_strike_dist": 32.5,
      "cust_center_dist": 12.723263,
      "procust_center_dist": 12.206421,
      "firm_center_dist": 31.457484,
      "bd_center_dist": 17.8015,
      "total_abs_gamma_b": 0.874112
    },
    {
      "date": "2024-07-03",
      "snap_ts": "2024-07-03 09:30:00-04:00",
      "spx_spot": 5502.5,
      "fwd_ret_3h": 0.2917,
      "day_range": 32.0,
      "mm_tilt": 0.739661,
      "total_net_gamma_m": 29.657331,
      "mm_asymmetry_m": 165.226392,
      "cust_tilt": -0.63986,
      "cust_asymmetry_m": -47.314722,
      "mm_total_gamma_m": 344.709111,
      "mm_center_dist": 21.568553,
      "mm_center_signed_dist": 37.958811,
      "mm_flow_m": 35.666221,
      "dominant_strike_dist": 22.5,
      "cust_center_dist": 19.452565,
      "procust_center_dist": 12.43159,
      "firm_center_dist": 22.541815,
      "bd_center_dist": 6.080253,
      "total_abs_gamma_b": 1.627992
    },
    {
      "date": "2024-07-04",
      "snap_ts": "2024-07-03 09:30:00-04:00",
      "spx_spot": 5502.5,
      "fwd_ret_3h": 0.2917,
      "day_range": 10.25,
      "mm_tilt": 0.739661,
      "total_net_gamma_m": 29.657331,
      "mm_asymmetry_m": 165.226392,
      "cust_tilt": -0.63986,
      "cust_asymmetry_m": -47.314722,
      "mm_total_gamma_m": 344.709111,
      "mm_center_dist": 21.568553,
      "mm_center_signed_dist": 37.958811,
      "mm_flow_m": 35.666221,
      "dominant_strike_dist": 22.5,
      "cust_center_dist": 19.452565,
      "procust_center_dist": 12.43159,
      "firm_center_dist": 22.541815,
      "bd_center_dist": 6.080253,
      "total_abs_gamma_b": 1.627992
    },
    {
      "date": "2024-07-05",
      "snap_ts": "2024-07-05 09:30:00-04:00",
      "spx_spot": 5537.5,
      "fwd_ret_3h": 0.2323,
      "day_range": 40.5,
      "mm_tilt": 0.867095,
      "total_net_gamma_m": 20.140368,
      "mm_asymmetry_m": 265.624481,
      "cust_tilt": -0.912945,
      "cust_asymmetry_m": -186.951316,
      "mm_total_gamma_m": 361.792739,
      "mm_center_dist": 7.976795,
      "mm_center_signed_dist": 18.846139,
      "mm_flow_m": -97.349988,
      "dominant_strike_dist": 22.5,
      "cust_center_dist": 4.022855,
      "procust_center_dist": -6.727819,
      "firm_center_dist": 8.483736,
      "bd_center_dist": -11.506761,
      "total_abs_gamma_b": 1.87461
    },
    {
      "date": "2024-07-08",
      "snap_ts": "2024-07-08 09:30:00-04:00",
      "spx_spot": 5555.0,
      "fwd_ret_3h": -0.2086,
      "day_range": 22.25,
      "mm_tilt": 0.864354,
      "total_net_gamma_m": 54.922329,
      "mm_asymmetry_m": 661.129311,
      "cust_tilt": -0.898611,
      "cust_asymmetry_m": -554.716578,
      "mm_total_gamma_m": 907.261929,
      "mm_center_dist": 23.921553,
      "mm_center_signed_dist": 20.836243,
      "mm_flow_m": -64.202908,
      "dominant_strike_dist": 30.0,
      "cust_center_dist": 23.597888,
      "procust_center_dist": 17.570908,
      "firm_center_dist": 20.872083,
      "bd_center_dist": -3.821344,
      "total_abs_gamma_b": 5.153486
    },
    {
      "date": "2024-07-09",
      "snap_ts": "2024-07-09 09:30:00-04:00",
      "spx_spot": 5580.0,
      "fwd_ret_3h": 0.0177,
      "day_range": 17.5,
      "mm_tilt": 0.700194,
      "total_net_gamma_m": 30.833417,
      "mm_asymmetry_m": 186.499193,
      "cust_tilt": -0.798542,
      "cust_asymmetry_m": -173.001597,
      "mm_total_gamma_m": 465.796917,
      "mm_center_dist": 13.098716,
      "mm_center_signed_dist": 12.095725,
      "mm_flow_m": 34.696561,
      "dominant_strike_dist": 30.0,
      "cust_center_dist": 5.852265,
      "procust_center_dist": -6.24253,
      "firm_center_dist": 4.091007,
      "bd_center_dist": 1.70856,
      "total_abs_gamma_b": 1.253575
    },
    {
      "date": "2024-07-10",
      "snap_ts": "2024-07-10 09:30:00-04:00",
      "spx_spot": 5575.0,
      "fwd_ret_3h": 0.3145,
      "day_range": 50.25,
      "mm_tilt": 0.810397,
      "total_net_gamma_m": 18.145336,
      "mm_asymmetry_m": 221.447733,
      "cust_tilt": -0.843865,
      "cust_asymmetry_m": -138.34401,
      "mm_total_gamma_m": 356.717327,
      "mm_center_dist": 20.423594,
      "mm_center_signed_dist": 21.088596,
      "mm_flow_m": 70.255364,
      "dominant_strike_dist": 55.0,
      "cust_center_dist": 13.664241,
      "procust_center_dist": 8.880717,
      "firm_center_dist": 11.557708,
      "bd_center_dist": 21.438038,
      "total_abs_gamma_b": 1.100232
    },
    {
      "date": "2024-07-11",
      "snap_ts": "2024-07-11 09:30:00-04:00",
      "spx_spot": 5627.5,
      "fwd_ret_3h": -0.699,
      "day_range": 65.75,
      "mm_tilt": 0.709992,
      "total_net_gamma_m": 20.251439,
      "mm_asymmetry_m": 110.575628,
      "cust_tilt": -0.74726,
      "cust_asymmetry_m": -93.48799,
      "mm_total_gamma_m": 263.284985,
      "mm_center_dist": 9.95596,
      "mm_center_signed_dist": 19.224083,
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