{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20260919-integer-sign-classification-0014",
  "pilot_number": "R0064-32589",
  "number": 32589,
  "family_id": "qf-integer-sign-classification",
  "title": {
    "zh-Hant": "第 32589 題：qf-integer-sign-classification",
    "en": "Question 32589: Integer Sign Classification"
  },
  "original_question": {
    "schema_version": "ocme-question-v0.1",
    "id": "q-20260919-integer-sign-classification-0014",
    "batch_id": "batch-20260919-integer-foundations",
    "language": "zh-Hant",
    "source_mko_ids": [
      "mko-integer"
    ],
    "title_zh": "qf-integer-sign-classification",
    "stem_zh": "以 0 為基準，整數 -13 屬於正、零、負的哪一類？",
    "answer": {
      "kind": "choice",
      "value": "負",
      "choices": [
        "正",
        "零",
        "負"
      ],
      "explanation_zh": "相對 0，-13 是負整數。"
    },
    "difficulty": {
      "band": "upper_secondary",
      "level": 3,
      "skills": [
        "整數符號"
      ]
    },
    "variant": {
      "family_id": "qf-integer-sign-classification",
      "seed": 20261033,
      "parameters": {
        "n": -13,
        "sign": "負",
        "semantic_template": "qf-integer-sign-classification/{\"n\":-13,\"sign\":\"負\"}"
      }
    },
    "verification": {
      "status": "candidate",
      "checks": [
        "schema_pending",
        "independent_recomputation_pending"
      ],
      "warning_zh": "本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"
    },
    "provenance": {
      "generator_role": "question_producer",
      "generator_model": "GPT-5.6 Terra",
      "generated_at": "2026-09-19",
      "contract_version": "ocme-question-factory-v0.1"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20260919-integer-sign-classification-0014",
    "batch_id": "batch-20260919-integer-foundations",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "ad476a529d4606c2d4683ff9b6327f59d39f3fa0a9d37b3778a79079f40baebf",
      "family_id": "qf-integer-sign-classification",
      "seed": 20261033,
      "semantic_template": "qf-integer-sign-classification/{\"n\":-13,\"sign\":\"負\"}"
    },
    "fields": {
      "title": "Integer Sign Classification",
      "stem": "Relative to 0, is the integer -13 positive, zero, or negative?",
      "answer": {
        "kind": "choice",
        "value": "Negative",
        "choices": [
          "Positive",
          "Zero",
          "Negative"
        ],
        "explanation": "Relative to 0, -13 is negative. Zero is neither positive nor negative."
      },
      "skills": [
        "integer sign"
      ],
      "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": "以 0 為基準，整數 -13 屬於正、零、負的哪一類？",
        "en": "Relative to 0, is the integer -13 positive, zero, or negative?"
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "source roles = [qf-integer-sign-classification, no-required-operation, no-required-domain, []]",
      "after": "derived = [[SOURCE_sign_label_STRING]]",
      "relation": "implies",
      "rule_id": "R64_SOURCE_exact_legacy_interface_BASE_metadata_AND_output_roles",
      "conditions": [],
      "explanation": {
        "zh-Hant": "legacy核來源精確欄位及operation/domain；BASE整數保metadata但不當oracle。先分NUMBER、字串、fractionpair或vector等式，不強套同一格式；原中英／AST／status不變。",
        "en": "Legacy banks enforce their exact source keys/operation/domain.BASE integers retain metadata without treating it as an oracle.Distinguish NUMBER,string,fraction pair and vector equality formats;retain original bilingual data/AST/status."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。",
          "en": "Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S002",
      "uses": [
        "G001",
        "S001"
      ],
      "before": "source roles = [-13, integer-sign: 負]",
      "after": "derived = [integer-sign: 負, 否, 是, 否]",
      "relation": "implies",
      "rule_id": "Integer_SIGN_relative_zero_source_label_zero_neither",
      "conditions": [],
      "explanation": {
        "zh-Hant": "以n與0的大小關係核正／負／零標籤；0既非正也非負。原標籤必先核對，不把符號分類改成−1/0/+1，英文顯示有明確脈絡。",
        "en": "Classify n relative to0 and verify the supplied positive/negative/zero label.Zero is neither positive nor negative.Retain SOURCE labels,not−1/0/+1;English display is explicitly contextual."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。",
          "en": "Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate."
        }
      },
      "arithmetic": null
    }
  ],
  "math_model": {
    "result": "負"
  },
  "conclusion": {
    "canonical_value": "負",
    "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-20260919-integer-foundations",
      "batch_path": "public/data/questions/batches/batch-20260919-integer-foundations/questions.jsonl",
      "batch_sha256": "529bee0e669d336089b9b84409bed458d54dfcb02b3696e430887c1ed49bb6c4",
      "original_line": 39,
      "original_line_sha256": "7374a0a24fd03f611e721232aa38ba4720c67b3e447416cd5ebbceca7aa62cb1",
      "question_compact_sha256": "ad476a529d4606c2d4683ff9b6327f59d39f3fa0a9d37b3778a79079f40baebf",
      "english_row_compact_sha256": "7d3be737db6e94c29a7a1b0e8e4afad2b89fc5eb9ccce7d1a8b34623a70b01ba",
      "english_manifest_path": "public/data/i18n/editions/batch-20260919-integer-foundations.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20260919-integer-foundations.en.jsonl"
    },
    "mko_bindings": {
      "mko-integer": {
        "sha256": "e1e3776eaf56e003f2eb07a66a39c7e221d26759df8fbc4db2652a2733318d66",
        "english_sha256": "24d4c8918b430c9dea2f942bb60a89a295d2386bf3bd9c14731ad56e0fb49034",
        "original_path": "public/data/mko/integer.json",
        "english_path": "public/data/i18n/editions/mko-integer.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "528186aa825c3054db15f4ce0a03ad58f72be7e7eb5bb236c4cc7ef34ff5a470",
    "original_candidate_sha256": "be07df5cfff9e2cbe7309e7971fd425f508810094371a88a6e01f54f6f075f50",
    "original_candidate_line_sha256": "be07df5cfff9e2cbe7309e7971fd425f508810094371a88a6e01f54f6f075f50"
  },
  "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-20261026-011-p65",
    "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": "8b9ea3ddfab468e9e3f0a0fc0f7682987d5e030be0d7c8860fd85df19cbe183b",
      "question_first_witness_sha256": "066bfeab8fc279706861faade71b9a18a61a25235fc48700092f0488d2a6da6a"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 2,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "8803da1e6133d904b2cfe9ee480bbf2054e3c4c9f095100948311d3cc085242b",
      "arithmetic_steps": 0
    },
    "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."
  }
}