{"id": "card_solve_answer", "kind": "note", "title": "The answer — the surviving window closes", "body": "Where the two jaws meet: a value with a proven bound, small enough to decide — or a proven limit (the inapproximability floor) saying it cannot shrink further. The proposer stayed free the whole way; the bounds carried all the certainty. Not an exact answer by rule, but a decided one, honestly bounded.", "source": {"label": "Narrow Highway — a step of the solve path", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "solve_step", "bands": ["solve path", "method", "answer"], "subject": "The answer — the surviving window closes", "connections": [{"to_card_id": "card_spine_solve_path", "relationship": "member_of", "evidence": "a step of the solve path"}, {"to_card_id": "card_solve_refine", "relationship": "builds_on", "evidence": "answer follows refine on the solve path"}, {"to_card_id": "card_solve_exclude", "relationship": "builds_on", "evidence": "answer follows exclude on the solve path"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.solve.step", "facets": {"subject": ["answer", "method", "solve path"]}, "presentation": {"glyph": "•", "kind_label": "solve step", "by": "Narrow Highway — a step of the solve path", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_spine_solve_path", "title": "The solve path — a spine", "relationship": "on the shelf of", "why": "a step of the solve path", "href": "/card/card_spine_solve_path", "resolved": true}, {"id": "card_solve_refine", "title": "Refine — tighten the bound, each step sealed", "relationship": "builds on", "why": "answer follows refine on the solve path", "href": "/card/card_solve_refine", "resolved": true}, {"id": "card_solve_exclude", "title": "Exclude from outside — the barriers and the moat", "relationship": "builds on", "why": "answer follows exclude on the solve path", "href": "/card/card_solve_exclude", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_solve_answer", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_solve_answer"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}