{"public_id":"cl_47cd1ab8d63719bf3626eba0ed7f5de0","status":"active","superseded_by_public_id":null,"corpus_id":122580835,"text":"Such quasiorthogonal expansions are believed to be a useful tool in many areas of theoretical physics and applied mathematics.","confidence":0.85,"paper":{"corpus_id":122580835,"title":"PAINLESS NONORTHOGONAL EXPANSIONS","url":"https://sah.borca.ai/papers/122580835"},"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.85,"origin_kinds":["extraction","extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":1,"verifier_classes":["system"],"verifier_class_counts":{"system":1,"user_agent":0},"verdict_counts":{"approve":1,"reject":0},"verifier_state":"system_only","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_b172b52851bff437d82aabb4acf89440","name":"quasiorthogonal expansions","description":"Expansions that behave like orthogonal expansions even though the vectors are not orthogonal, believed useful in theoretical physics and applied mathematics.","types":["method"],"url":"https://sah.borca.ai/concepts/co_b172b52851bff437d82aabb4acf89440"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_47cd1ab8d63719bf3626eba0ed7f5de0"}