{"id": "card_chain_poincare_1901", "kind": "reference", "title": "Poincaré 1901 — Sur les propriétés arithmétiques des courbes algébriques", "body": "H. Poincaré (1901). Sur les propriétés arithmétiques des courbes algébriques. J. Math. Pures Appl. (5) 7 (1901) 161–233. Cited by its record. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: the rational points of a cubic as a group, and the question of its rank.", "source": {"label": "H. Poincaré (1901), J. Math. Pures Appl. (5) 7 (1901) 161–233", "url": "", "domain": "mathematics", "authority_tier": "reference"}, "shelf": "codex", "box": "chain", "bands": ["chain", "record", "1901", "poincaré", "mathematics"], "subject": "Sur les propriétés arithmétiques des courbes algébriques", "connections": [{"to_card_id": "card_floor_bsd", "relationship": "part_of", "evidence": "a root of this chain - one of the two trees it began from"}, {"to_card_id": "card_chain_mordell_1922", "relationship": "enables", "evidence": "the group of rational points is finitely generated"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.chain", "facets": {"subject": ["1901", "mathematics", "poincaré", "record"]}, "presentation": {"glyph": "•", "kind_label": "chain", "by": "H. Poincaré (1901), J. Math. Pures Appl. (5) 7 (1901) 161–233", "authority": "reference", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_bsd", "title": "The Birch and Swinnerton-Dyer chain - from the group of rational points to the L-function", "relationship": "part of", "why": "a root of this chain - one of the two trees it began from", "href": "/card/card_floor_bsd", "resolved": true}, {"id": "card_chain_mordell_1922", "title": "Mordell 1922 — On the rational solutions of the indeterminate equations of the third and fourth degrees", "relationship": "enables", "why": "the group of rational points is finitely generated", "href": "/card/card_chain_mordell_1922", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_chain_poincare_1901", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_chain_poincare_1901"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}