{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20261014-advance-20261030-r03-martingale-0006",
  "pilot_number": "R0029-15381",
  "number": 15381,
  "family_id": "qf-mod30-martingale-qualification",
  "title": {
    "zh-Hant": "第 15381 題：有限Martingale",
    "en": "Question 15381: Conjoin Nesting, Adaptedness and Every Conditional-Step Equation"
  },
  "original_question": {
    "schema_version": "ocme-question-v0.1",
    "id": "q-20261014-advance-20261030-r03-martingale-0006",
    "batch_id": "batch-20261014-advance-20261030-r03-martingale-foundations",
    "language": "zh-Hant",
    "source_mko_ids": [
      "mko-martingale"
    ],
    "title_zh": "有限Martingale",
    "stem_zh": "同一有限probability space filtration與process。操作=martingale-qualification；資料={\"masses\":[[1,4],[1,4],[1,4],[1,4]],\"partitions\":[[0,0,0,0],[0,0,1,1]],\"process_values\":[[-7,-7,-7,-7],[-6,-7,-7,-7]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。",
    "answer": {
      "kind": "expression",
      "value": "([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], 否]], 否)",
      "explanation_zh": "Wave4第四層核對=([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。"
    },
    "difficulty": {
      "band": "undergraduate_core",
      "level": 1,
      "skills": [
        "有限Martingale"
      ]
    },
    "variant": {
      "family_id": "qf-mod30-martingale-qualification",
      "seed": 202610303006,
      "parameters": {
        "masses": [
          [
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            1,
            4
          ]
        ],
        "partitions": [
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            1
          ]
        ],
        "process_values": [
          [
            -7,
            -7,
            -7,
            -7
          ],
          [
            -6,
            -7,
            -7,
            -7
          ]
        ],
        "domain": "Exact_finite_partition_martingale",
        "operation": "martingale-qualification",
        "semantic_template": "qf-mod30-martingale-qualification/{\"masses\":[[1,4],[1,4],[1,4],[1,4]],\"partitions\":[[0,0,0,0],[0,0,1,1]],\"process_values\":[[-7,-7,-7,-7],[-6,-7,-7,-7]]}"
      }
    },
    "verification": {
      "status": "candidate",
      "checks": [
        "producer_exact_finite_model",
        "producer_source_snapshot_check",
        "producer_substantive_template_deduplication",
        "producer_json_schema"
      ],
      "warning_zh": "候選須主端重算；不構成人工審定、一般域／Hilbert／martingale／無限基數／一般收斂、Lean或Evidence。"
    },
    "provenance": {
      "generator_role": "question_producer",
      "generator_model": "model_unknown",
      "generated_at": "2026-10-14",
      "contract_version": "ocme-question-factory-v0.1"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20261014-advance-20261030-r03-martingale-0006",
    "batch_id": "batch-20261014-advance-20261030-r03-martingale-foundations",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "843514834bc8c1b001ebdcd5d20d03a4d8d5c3c5131dd1faa53746d0cb0aed01",
      "family_id": "qf-mod30-martingale-qualification",
      "seed": 202610303006,
      "semantic_template": "qf-mod30-martingale-qualification/{\"masses\":[[1,4],[1,4],[1,4],[1,4]],\"partitions\":[[0,0,0,0],[0,0,1,1]],\"process_values\":[[-7,-7,-7,-7],[-6,-7,-7,-7]]}"
    },
    "fields": {
      "title": "Conjoin Nesting, Adaptedness and Every Conditional-Step Equation",
      "stem": "Use one complete finite probability space with aligned exact masses=[1/4, 1/4, 1/4, 1/4], time-ordered partitions=[[0, 0, 0, 0], [0, 0, 1, 1]], and time-by-outcome process_values=[[-7, -7, -7, -7], [-6, -7, -7, -7]]. Masses are nonnegative and sum to 1; all process values are finite, hence integrable. Information nesting, blockwise adaptedness and the conditional-step equation are separate obligations. Process and partition rows use the same outcomes. Null-block conditional values are only almost-surely specified, with no division by zero. No independent-increment, Markov, stopping or convergence theorem follows. Keep exact reduced rational outputs with positive denominators, omitting /1 for integers. Give (nesting_failures,adaptedness_failures,conditional_steps,martingale?). Nesting rows are [t,a,b], t increasing and a<b increasing. Adaptedness rows are [t,block_label,indices,distinct_values], traversing first-seen block labels within each row. Positive-mass step rows are [t,label,next_conditional_mean,current_distinct_values,pass?]; null steps are [t,label,null_block_a.s._arbitrary,Yes] with no forced current-value field.",
      "answer": {
        "kind": "expression",
        "value": "([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], No]], No)",
        "explanation": "First check filtration refinement and process measurability at every time. For each time block, average the next process value under the same conditional law and compare with the current block value. Conjoin all obligations; constant total expectations alone are insufficient. The exact result, retaining the requested order, is ([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], No]], No)."
      },
      "skills": [
        "Conjoin Nesting, Adaptedness and Every Conditional-Step Equation"
      ],
      "verification_warning": "This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."
    }
  },
  "givens": [
    {
      "id": "G001",
      "text": {
        "zh-Hant": "同一有限probability space filtration與process。操作=martingale-qualification；資料={\"masses\":[[1,4],[1,4],[1,4],[1,4]],\"partitions\":[[0,0,0,0],[0,0,1,1]],\"process_values\":[[-7,-7,-7,-7],[-6,-7,-7,-7]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。",
        "en": "Use one complete finite probability space with aligned exact masses=[1/4, 1/4, 1/4, 1/4], time-ordered partitions=[[0, 0, 0, 0], [0, 0, 1, 1]], and time-by-outcome process_values=[[-7, -7, -7, -7], [-6, -7, -7, -7]]. Masses are nonnegative and sum to 1; all process values are finite, hence integrable. Information nesting, blockwise adaptedness and the conditional-step equation are separate obligations. Process and partition rows use the same outcomes. Null-block conditional values are only almost-surely specified, with no division by zero. No independent-increment, Markov, stopping or convergence theorem follows. Keep exact reduced rational outputs with positive denominators, omitting /1 for integers. Give (nesting_failures,adaptedness_failures,conditional_steps,martingale?). Nesting rows are [t,a,b], t increasing and a<b increasing. Adaptedness rows are [t,block_label,indices,distinct_values], traversing first-seen block labels within each row. Positive-mass step rows are [t,label,next_conditional_mean,current_distinct_values,pass?]; null steps are [t,label,null_block_a.s._arbitrary,Yes] with no forced current-value field."
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "martingale full probability mass := sum(1/4, 1/4, 1/4, 1/4)",
      "after": "martingale full probability mass = 1",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale full probability mass，不以小數近似替代。",
          "en": "Recompute martingale full probability mass with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "sum",
        "inputs": [
          "1/4",
          "1/4",
          "1/4",
          "1/4"
        ],
        "output": "1",
        "label": "martingale full probability mass"
      }
    },
    {
      "id": "S002",
      "uses": [
        "G001",
        "S001"
      ],
      "before": "same finite probability carrier size=4;exact masses=[1/4, 1/4, 1/4, 1/4];partitions in time order=[[0, 0, 0, 0], [0, 0, 1, 1]]",
      "after": "total mass=1;all later-equal pairs with earlier-different labels=[]",
      "relation": "implies",
      "rule_id": "martingale_filtration_refinement_all_outcome_pairs",
      "conditions": [],
      "explanation": {
        "zh-Hant": "後時刻每個分塊必包含在前時刻一個分塊內；逐對檢查，不能以分塊數增多代替嵌套。機率非負且總和1是原英文概率律前提，沒有用原oracle寬guard接受負機率。",
        "en": "Every later block must lie inside one earlier block.Check all outcome pairs;more block labels alone do not prove refinement.Nonnegative masses totaling1 are the source English probability-law premise;loose raw-oracle guards do not license negative probability."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S003",
      "uses": [
        "G001",
        "S002"
      ],
      "before": "time=0;block label=0;indices=[0, 1, 2, 3];current values in original order=[-7, -7, -7, -7]",
      "after": "distinct current values first-encounter order=[-7];constant on block=是",
      "relation": "implies",
      "rule_id": "martingale_adaptedness_current_time_including_null_atoms",
      "conditions": [],
      "explanation": {
        "zh-Hant": "有限分塊可測性要求同塊當期值相同；按首次出現順序列distinct值，零機率原子也不從這份實際版本的適應性檢查刪掉。",
        "en": "Measurability for this finite partition requires the current value to be constant on each block.Keep distinct values in first-encounter order.Null outcomes are not removed from this specified version's adaptedness audit."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S004",
      "uses": [
        "G001",
        "S003"
      ],
      "before": "time=1;block label=0;indices=[0, 1];current values in original order=[-6, -7]",
      "after": "distinct current values first-encounter order=[-6, -7];constant on block=否",
      "relation": "implies",
      "rule_id": "martingale_adaptedness_current_time_including_null_atoms",
      "conditions": [],
      "explanation": {
        "zh-Hant": "有限分塊可測性要求同塊當期值相同；按首次出現順序列distinct值，零機率原子也不從這份實際版本的適應性檢查刪掉。",
        "en": "Measurability for this finite partition requires the current value to be constant on each block.Keep distinct values in first-encounter order.Null outcomes are not removed from this specified version's adaptedness audit."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S005",
      "uses": [
        "G001",
        "S004"
      ],
      "before": "time=1;block label=1;indices=[2, 3];current values in original order=[-7, -7]",
      "after": "distinct current values first-encounter order=[-7];constant on block=是",
      "relation": "implies",
      "rule_id": "martingale_adaptedness_current_time_including_null_atoms",
      "conditions": [],
      "explanation": {
        "zh-Hant": "有限分塊可測性要求同塊當期值相同；按首次出現順序列distinct值，零機率原子也不從這份實際版本的適應性檢查刪掉。",
        "en": "Measurability for this finite partition requires the current value to be constant on each block.Keep distinct values in first-encounter order.Null outcomes are not removed from this specified version's adaptedness audit."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S006",
      "uses": [
        "G001",
        "S005"
      ],
      "before": "martingale time0 block0 mass := sum(1/4, 1/4, 1/4, 1/4)",
      "after": "martingale time0 block0 mass = 1",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 mass，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 mass with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "sum",
        "inputs": [
          "1/4",
          "1/4",
          "1/4",
          "1/4"
        ],
        "output": "1",
        "label": "martingale time0 block0 mass"
      }
    },
    {
      "id": "S007",
      "uses": [
        "G001",
        "S006"
      ],
      "before": "martingale time0 block0 next weighted outcome0 := mul(1/4, -6)",
      "after": "martingale time0 block0 next weighted outcome0 = -3/2",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next weighted outcome0，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next weighted outcome0 with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "mul",
        "inputs": [
          "1/4",
          "-6"
        ],
        "output": "-3/2",
        "label": "martingale time0 block0 next weighted outcome0"
      }
    },
    {
      "id": "S008",
      "uses": [
        "G001",
        "S007"
      ],
      "before": "martingale time0 block0 next weighted outcome1 := mul(1/4, -7)",
      "after": "martingale time0 block0 next weighted outcome1 = -7/4",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next weighted outcome1，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next weighted outcome1 with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "mul",
        "inputs": [
          "1/4",
          "-7"
        ],
        "output": "-7/4",
        "label": "martingale time0 block0 next weighted outcome1"
      }
    },
    {
      "id": "S009",
      "uses": [
        "G001",
        "S008"
      ],
      "before": "martingale time0 block0 next weighted outcome2 := mul(1/4, -7)",
      "after": "martingale time0 block0 next weighted outcome2 = -7/4",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next weighted outcome2，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next weighted outcome2 with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "mul",
        "inputs": [
          "1/4",
          "-7"
        ],
        "output": "-7/4",
        "label": "martingale time0 block0 next weighted outcome2"
      }
    },
    {
      "id": "S010",
      "uses": [
        "G001",
        "S009"
      ],
      "before": "martingale time0 block0 next weighted outcome3 := mul(1/4, -7)",
      "after": "martingale time0 block0 next weighted outcome3 = -7/4",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next weighted outcome3，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next weighted outcome3 with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "mul",
        "inputs": [
          "1/4",
          "-7"
        ],
        "output": "-7/4",
        "label": "martingale time0 block0 next weighted outcome3"
      }
    },
    {
      "id": "S011",
      "uses": [
        "G001",
        "S010"
      ],
      "before": "martingale time0 block0 next weighted sum := sum(-3/2, -7/4, -7/4, -7/4)",
      "after": "martingale time0 block0 next weighted sum = -27/4",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next weighted sum，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next weighted sum with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "sum",
        "inputs": [
          "-3/2",
          "-7/4",
          "-7/4",
          "-7/4"
        ],
        "output": "-27/4",
        "label": "martingale time0 block0 next weighted sum"
      }
    },
    {
      "id": "S012",
      "uses": [
        "G001",
        "S011"
      ],
      "before": "martingale time0 block0 next conditional mean := div(-27/4, 1)",
      "after": "martingale time0 block0 next conditional mean = -27/4",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始角色與已核中間量精確計算；保留分母、嚴格條件、索引及正負號。",
        "en": "Compute exactly from original roles and established intermediates,retaining denominators,strict guards,indices and signs."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 martingale time0 block0 next conditional mean，不以小數近似替代。",
          "en": "Recompute martingale time0 block0 next conditional mean with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "div",
        "inputs": [
          "-27/4",
          "1"
        ],
        "output": "-27/4",
        "label": "martingale time0 block0 next conditional mean"
      }
    },
    {
      "id": "S013",
      "uses": [
        "G001",
        "S012"
      ],
      "before": "time=0;block label=0;current distinct values=[-7];next weighted sum=-27/4;positive block mass=1",
      "after": "conditional mean=-27/4;conditional step row=[0, 0, -27/4, [-7], 否]",
      "relation": "implies",
      "rule_id": "martingale_next_time_conditional_mean_equals_current_not_next_value",
      "conditions": [],
      "explanation": {
        "zh-Hant": "先加權下一時刻值，再除當期分塊機率，最後與當期常值比較；不能拿下一時刻常值或全域期望偷換條件期望。當期非常值時此步也不給真。",
        "en": "Weight next-time values,divide by this current block's probability,and compare with its current constant value.Do not substitute a next-time value or a global expectation.A nonconstant current block does not pass this step either."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S014",
      "uses": [
        "G001",
        "S013"
      ],
      "before": "nesting failures=[];adaptedness failures=[[1, 0, [0, 1], [-6, -7]]];conditional rows=[[0, 0, -27/4, [-7], 否]]",
      "after": "finite integrable process;all three qualifications=否",
      "relation": "implies",
      "rule_id": "martingale_qualification_three_separate_obligations",
      "conditions": [],
      "explanation": {
        "zh-Hant": "有限載體有限值給可積性，但仍要同時有濾過嵌套、當期可測和下一步條件期望等當期值；不能只用全域期望或通過某一列放行。",
        "en": "Finite values on a finite probability carrier give integrability.Still require filtration refinement,current measurability and each next-step conditional expectation equaling the current value.A global mean or a single passing row is insufficient."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    }
  ],
  "math_model": {
    "result": [
      [],
      [
        [
          1,
          0,
          [
            0,
            1
          ],
          [
            -6,
            -7
          ]
        ]
      ],
      [
        [
          0,
          0,
          "-27/4",
          [
            -7
          ],
          false
        ]
      ],
      false
    ]
  },
  "conclusion": {
    "canonical_value": "([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], 否]], 否)",
    "explanation": {
      "zh-Hant": "依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。",
      "en": "The full substitutions and premise checks give the original answer; source identity,format and status are unchanged."
    }
  },
  "definition_note": {
    "zh-Hant": "沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。",
    "en": "Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate."
  },
  "source": {
    "input_commit": "0f7be61e2c22317a4075561dc822c87d881a50db",
    "question_binding": {
      "batch_id": "batch-20261014-advance-20261030-r03-martingale-foundations",
      "batch_path": "public/data/questions/batches/batch-20261014-advance-20261030-r03-martingale-foundations/questions.jsonl",
      "batch_sha256": "49baa607de2c7a0521600fb26d4687c5e8b1276d994fcd2bf76fb8f7e4924d1c",
      "original_line": 6,
      "original_line_sha256": "5b8aa64bf5078ad84f7e56e6b7f743a78d7009d8e275b748c0141aea8ee0e67c",
      "question_compact_sha256": "843514834bc8c1b001ebdcd5d20d03a4d8d5c3c5131dd1faa53746d0cb0aed01",
      "english_row_compact_sha256": "1fa060c427de0f1d69aaee23bac43ebbb6616e355054faa76c9c356de1a540f2",
      "english_manifest_path": "public/data/i18n/editions/batch-20261014-advance-20261030-r03-martingale-foundations.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20261014-advance-20261030-r03-martingale-foundations.en.jsonl"
    },
    "mko_bindings": {
      "mko-martingale": {
        "sha256": "25744aeb70a10daa6dcabb09f5b71bc0ee3e9f2c266412b727873f5e2abddf7b",
        "english_sha256": "baf1b76a7fdf33a34d203015ec0ab002e6398566cc74b3d6decc7de93b52132e",
        "original_path": "public/data/mko/martingale.json",
        "english_path": "public/data/i18n/editions/mko-martingale.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "54de60dca082018923bf089f2b1eb0a6666cc401916115af792056c8bae935db",
    "original_candidate_sha256": "53452ff0ac6fa4a41027630a63e7a3c738b6ecc895b918154689f12ef6ae429e",
    "original_candidate_line_sha256": "53452ff0ac6fa4a41027630a63e7a3c738b6ecc895b918154689f12ef6ae429e"
  },
  "historical_source_state": {
    "review_state": {
      "derivation": "candidate_authored_and_locally_checked",
      "source_question_state": "candidate",
      "independent_AI_or_human_review": "NOT_PERFORMED",
      "formalization": "not_formalized",
      "Lean": "NOT_RUN"
    },
    "scope_note": {
      "zh-Hant": "來源綁定教學推導候選；精確核對不等於獨立AI／人工審查或一般形式證明。原題、答案、MKO、公式、AST與歷史不變。",
      "en": "Source-bound pedagogical derivation candidate.Exact checking is not independent AI/human review or general formal proof.Original questions,answers,MKOs,formulas,ASTs and history remain unchanged."
    },
    "label": "Frozen producer metadata; current per-question review is separate below."
  },
  "revision": {
    "id": "review-20261026-007-p30",
    "review_date": "2026-10-26",
    "owner_authorized_reader_publication": true,
    "scope": "One hundred sixty family prototypes and their mathematical/bilingual reasoning variants, stems, boundary statements and every distinct explanation shape were reviewed in a context independent of the producer; parameter substitutions, source bindings, full math models, both answer strings and every arithmetic step were independently reconstructed per question from the original parameters only, with negative controls. This grouped method does not claim a separate literal AI reading of every repeated sentence or an extra AI voter.",
    "review_receipts": {
      "semantic_review_sha256": "8c0ef6ca8c5ba2754e41f30c2b32bcb757756152d97421f7396d39038c11f725",
      "question_first_witness_sha256": "c7920a0ff8e724b7e566ebbda30b31d8087c136974b62f8c760fbd26ab816117"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 14,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "c4eacb0b5718b28640a7dc9c1c8c0b522d1856e08b281aefcf32371dd6800d6f",
      "arithmetic_steps": 8
    },
    "uses_answer_as_premise": false,
    "human_review": "NOT_PERFORMED",
    "formalization": "not_formalized",
    "Lean": "NOT_RUN",
    "Canonical_truth_promotion": false,
    "authority": "Owner-authorized reviewed reader publication; original question/candidate states remain historical and unchanged."
  }
}