{"id": "card_v_03794e9aea45", "kind": "verified", "title": "0-1 knapsack (cap 5) → optimal value 7", "body": "Verdict: HOLDS.\n• operations_research.knapsack_01: optimal_value=7.0 (matches claim)\nSealed and independently re-checkable: https://narrowhighway.com/s/146ec914dad0d44e177cd894b09742163848ac2508926d7b9d0a8d10b588c909", "source": {"label": "Verified by the engine — operations_research", "url": "https://narrowhighway.com/s/146ec914dad0d44e177cd894b09742163848ac2508926d7b9d0a8d10b588c909", "ref": "", "domain": "operations_research", "authority_tier": "engine"}, "shelf": "operations_research", "box": "verified", "bands": ["verified", "operations_research", "HOLDS"], "connections": [{"to_card_id": "card_k_spine_created_order", "relationship": "part_of", "evidence": "a verified seed of the created order (operations_research)"}, {"to_card_id": "card_works_knapsack", "relationship": "demonstrates", "evidence": "A worked demonstration in the same field (operations_research)."}], "author": "engine", "created_at": 1784894214.6309052, "updated_at": 1784894214.6309056, "visibility": "public", "lifecycle_stage": "public", "volatility": "durable", "surface": "secular", "generated": false, "presentation": {"glyph": "•", "kind_label": "verified", "by": "Verified by the engine — operations_research", "authority": "engine", "posted": "1 month ago", "standing": "", "link": {"url": "https://narrowhighway.com/s/146ec914dad0d44e177cd894b09742163848ac2508926d7b9d0a8d10b588c909", "host": "narrowhighway.com", "provider": "", "titled": "0-1 knapsack (cap 5) → optimal value 7", "waybill_line": "", "reach": "", "embed": ""}}, "neighbors": [{"id": "card_k_spine_created_order", "title": "The created order — the science of the floor", "relationship": "part of", "why": "a verified seed of the created order (operations_research)", "href": "/card/card_k_spine_created_order", "resolved": true}, {"id": "card_works_knapsack", "title": "The best a knapsack can carry", "relationship": "demonstrates", "why": "A worked demonstration in the same field (operations_research).", "href": "/card/card_works_knapsack", "resolved": true}]}