{
  "author": "Vesper Applied",
  "datePublished": "2026-09-15T00:45:38Z",
  "publication_provenance": {
    "first_production_version": "dedbc226-e13c-4b2d-8318-85241cca2a16",
    "deployment_created_on": "2026-09-15T00:45:38.234966Z",
    "scope": "First production version containing both notes; not proof of simultaneous edge availability"
  },
  "review_method": "AI-assisted saved-record review. Twelve diagnostic result hashes checked and three checkpoint result records compared. No research experiments rerun. No independent reproduction claimed.",
  "checkpoint": {
    "environment": {
      "torch": "2.11.0+cu128",
      "python": "3.12.10",
      "platform": "Windows",
      "device": "cpu",
      "dtype": "float32",
      "threads": 1,
      "seed": 1729,
      "qkv_shape_each": [
        1,
        2,
        8,
        4
      ],
      "atol": 1e-06,
      "rtol": 1e-05
    },
    "cases": [
      {
        "case": "math_forward_only",
        "outcome": "CHECKPOINT_ERROR",
        "output_max_abs_error": null,
        "gradient_max_abs_errors": null
      },
      {
        "case": "math_full_scope",
        "outcome": "PASS",
        "output_max_abs_error": 0.0,
        "gradient_max_abs_errors": [
          0.0,
          0.0,
          0.0
        ]
      },
      {
        "case": "context_fn",
        "outcome": "PASS",
        "output_max_abs_error": 0.0,
        "gradient_max_abs_errors": [
          0.0,
          0.0,
          0.0
        ]
      },
      {
        "case": "function_local_context",
        "outcome": "PASS",
        "output_max_abs_error": 0.0,
        "gradient_max_abs_errors": [
          0.0,
          0.0,
          0.0
        ]
      },
      {
        "case": "default_throughout",
        "outcome": "PASS",
        "output_max_abs_error": 0.0,
        "gradient_max_abs_errors": [
          0.0,
          0.0,
          0.0
        ]
      }
    ],
    "three_saved_results_equal": true,
    "minimal_source_sha256": "857abcf028b3751d1eb8f7f88301e00402e9d55eb7208ffc5af08824be38b056"
  },
  "representation": {
    "scope": "Synthetic development fixtures, not a held-out architecture comparison",
    "rows": [
      {
        "variant": "legacy",
        "seed": 17,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "4c016def5aff2497fe7fd908e4ad51eef38ab837760a6786c85f5b1de15e8dd8",
        "final": {
          "constant_mse": 4.059417551616207e-05,
          "effective_rank": 2.540379762649536,
          "eval_batch_max_abs_difference": 5.960464477539063e-08,
          "failed_gates": [
            "mean_std",
            "min_std",
            "regularizer"
          ],
          "gate_pass": false,
          "mean_std": 0.005391549784690142,
          "min_std": 0.0028525241650640965,
          "prediction_mse": 2.975200732180383e-05,
          "prediction_to_constant": 0.7329132059834159,
          "prediction_to_shuffled": 0.5033620168235634,
          "regularizer_to_collapsed": 0.9998833992477213,
          "shuffled_mse": 5.910658001084812e-05
        }
      },
      {
        "variant": "legacy",
        "seed": 29,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "de81f7f7ab959424fabd5b9940bb78d8d360524e65b0da67f384059725161778",
        "final": {
          "constant_mse": 4.9357040552422404e-05,
          "effective_rank": 1.645499587059021,
          "eval_batch_max_abs_difference": 3.725290298461914e-08,
          "failed_gates": [
            "mean_std",
            "min_std",
            "effective_rank",
            "regularizer"
          ],
          "gate_pass": false,
          "mean_std": 0.006254984997212887,
          "min_std": 0.0030779854860156775,
          "prediction_mse": 2.322763430129271e-05,
          "prediction_to_constant": 0.4706042753236492,
          "prediction_to_shuffled": 0.2878519238463022,
          "regularizer_to_collapsed": 0.9998504130209165,
          "shuffled_mse": 8.069299656199291e-05
        }
      },
      {
        "variant": "legacy",
        "seed": 43,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "48cd4638dc808515a32fbc5c83103e2326c8d814a8eca7a1020f10fa792c0cdb",
        "final": {
          "constant_mse": 4.7448538680328056e-05,
          "effective_rank": 2.87760329246521,
          "eval_batch_max_abs_difference": 2.9802322387695312e-08,
          "failed_gates": [
            "mean_std",
            "min_std",
            "regularizer"
          ],
          "gate_pass": false,
          "mean_std": 0.00622629513964057,
          "min_std": 0.004418487194925547,
          "prediction_mse": 3.3564101613592356e-05,
          "prediction_to_constant": 0.7073790373128578,
          "prediction_to_shuffled": 0.5850419724715374,
          "regularizer_to_collapsed": 0.9998611613420102,
          "shuffled_mse": 5.737041647080332e-05
        }
      },
      {
        "variant": "scaled",
        "seed": 17,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "b8c732f5f3f6a92e47da9ca434dda716e9a9f774a510ae70ba9ec9cfbc9a8168",
        "final": {
          "constant_mse": 1.610184669494629,
          "effective_rank": 1.0182822942733765,
          "eval_batch_max_abs_difference": 2.384185791015625e-07,
          "failed_gates": [
            "effective_rank"
          ],
          "gate_pass": false,
          "mean_std": 1.2479718923568726,
          "min_std": 0.9761608242988586,
          "prediction_mse": 0.19279612600803375,
          "prediction_to_constant": 0.11973541275147313,
          "prediction_to_shuffled": 0.06887455661201927,
          "regularizer_to_collapsed": 0.41054087108396964,
          "shuffled_mse": 2.7992358207702637
        }
      },
      {
        "variant": "scaled",
        "seed": 29,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "f8c548bbbdadcdd330ca50c1e29b9ed4386fe3348887f31aad56d4d84f5091d1",
        "final": {
          "constant_mse": 1.3656926155090332,
          "effective_rank": 1.0101840496063232,
          "eval_batch_max_abs_difference": 2.384185791015625e-07,
          "failed_gates": [
            "effective_rank"
          ],
          "gate_pass": false,
          "mean_std": 1.1442570686340332,
          "min_std": 0.7540379166603088,
          "prediction_mse": 0.2258768081665039,
          "prediction_to_constant": 0.16539359267335063,
          "prediction_to_shuffled": 0.09618968840968249,
          "regularizer_to_collapsed": 0.4322861330572473,
          "shuffled_mse": 2.348243474960327
        }
      },
      {
        "variant": "scaled",
        "seed": 43,
        "parameters": 29304,
        "updates": 600,
        "result_sha256": "238cacda4c057a24a674bf48e9150719f04225a4801a897479097b097d11382d",
        "final": {
          "constant_mse": 1.4036489725112915,
          "effective_rank": 1.019243597984314,
          "eval_batch_max_abs_difference": 3.5762786865234375e-07,
          "failed_gates": [
            "effective_rank"
          ],
          "gate_pass": false,
          "mean_std": 1.0941026210784912,
          "min_std": 0.07708276063203812,
          "prediction_mse": 0.3907203674316406,
          "prediction_to_constant": 0.2783604555579137,
          "prediction_to_shuffled": 0.17846367690277312,
          "regularizer_to_collapsed": 0.4772004389169577,
          "shuffled_mse": 2.1893551349639893
        }
      },
      {
        "variant": "projector",
        "seed": 17,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "367622fdd66f94937010384223334ecf4fbb9a8d722537093339ca217322cddc",
        "final": {
          "constant_mse": 0.10838737338781357,
          "effective_rank": 1.0434718132019043,
          "eval_batch_max_abs_difference": 3.509223461151123e-06,
          "failed_gates": [
            "effective_rank",
            "predict_constant"
          ],
          "gate_pass": false,
          "mean_std": 0.3122941553592682,
          "min_std": 0.1453389674425125,
          "prediction_mse": 0.11438587307929993,
          "prediction_to_constant": 1.0553431594843021,
          "prediction_to_shuffled": 0.7354590471701141,
          "regularizer_to_collapsed": 0.7091899405499241,
          "shuffled_mse": 0.1555299013853073
        }
      },
      {
        "variant": "projector",
        "seed": 29,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "e8b0f577cbafa4eb31b72a12a68921480319a4b0b96f9f0a63f9491b78761fc1",
        "final": {
          "constant_mse": 0.1835392713546753,
          "effective_rank": 1.0229872465133667,
          "eval_batch_max_abs_difference": 4.112720489501953e-06,
          "failed_gates": [
            "effective_rank"
          ],
          "gate_pass": false,
          "mean_std": 0.3948747515678406,
          "min_std": 0.07179318368434906,
          "prediction_mse": 0.08359386026859283,
          "prediction_to_constant": 0.45545489884317036,
          "prediction_to_shuffled": 0.20075782029808367,
          "regularizer_to_collapsed": 0.6273203494108697,
          "shuffled_mse": 0.4163915514945984
        }
      },
      {
        "variant": "projector",
        "seed": 43,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "5ea1dac497ae05b92c91a676773f99053af64771a9fb100be29149a5158d6d8a",
        "final": {
          "constant_mse": 0.11834065616130829,
          "effective_rank": 1.052728533744812,
          "eval_batch_max_abs_difference": 4.410743713378906e-06,
          "failed_gates": [
            "effective_rank"
          ],
          "gate_pass": false,
          "mean_std": 0.2808942496776581,
          "min_std": 0.06356734037399292,
          "prediction_mse": 0.02429690584540367,
          "prediction_to_constant": 0.20531325947935375,
          "prediction_to_shuffled": 0.08244965580277912,
          "regularizer_to_collapsed": 0.6944138899738104,
          "shuffled_mse": 0.29468777775764465
        }
      },
      {
        "variant": "combined",
        "seed": 17,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "d3165520c82c2f20ac6b9ba3afc48e9c7d1af7165cb14ea889d98e3bbc2c0eb1",
        "final": {
          "constant_mse": 2.0458831787109375,
          "effective_rank": 3.0106279850006104,
          "eval_batch_max_abs_difference": 9.5367431640625e-07,
          "failed_gates": [],
          "gate_pass": true,
          "mean_std": 1.3370208740234375,
          "min_std": 0.8687379956245422,
          "prediction_mse": 0.17163613438606262,
          "prediction_to_constant": 0.08389341882863834,
          "prediction_to_shuffled": 0.048845862058811196,
          "regularizer_to_collapsed": 0.5881358993998657,
          "shuffled_mse": 3.513831615447998
        }
      },
      {
        "variant": "combined",
        "seed": 29,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "68e2c324e2f08a7ce95d38bb70dd41e6cd0f7ffbcce186bab4854be5012ef6d8",
        "final": {
          "constant_mse": 1.9690017700195312,
          "effective_rank": 3.3971140384674072,
          "eval_batch_max_abs_difference": 9.5367431640625e-07,
          "failed_gates": [],
          "gate_pass": true,
          "mean_std": 1.3460006713867188,
          "min_std": 0.6406551003456116,
          "prediction_mse": 0.5554646849632263,
          "prediction_to_constant": 0.2821047159128336,
          "prediction_to_shuffled": 0.16380488807380525,
          "regularizer_to_collapsed": 0.45884119459360934,
          "shuffled_mse": 3.3910140991210938
        }
      },
      {
        "variant": "combined",
        "seed": 43,
        "parameters": 35888,
        "updates": 600,
        "result_sha256": "c5911378f1767d7e08f66e31bc3645055dcecdf05d453725746077c78450d06e",
        "final": {
          "constant_mse": 1.8339992761611938,
          "effective_rank": 3.1937429904937744,
          "eval_batch_max_abs_difference": 8.344650268554688e-07,
          "failed_gates": [],
          "gate_pass": true,
          "mean_std": 1.3136652708053589,
          "min_std": 0.8143296837806702,
          "prediction_mse": 0.3751322031021118,
          "prediction_to_constant": 0.2045432667167207,
          "prediction_to_shuffled": 0.12427625178574912,
          "regularizer_to_collapsed": 0.49668499539564165,
          "shuffled_mse": 3.0185348987579346
        }
      }
    ],
    "fresh_evaluation_model_scores": 0,
    "projector_capacity_confound": true
  }
}