{"public_id":"co_edc88312c6a9ee12e1f50f0dc1149d20","status":"active","merged_into_public_id":null,"resolved_public_id":"co_edc88312c6a9ee12e1f50f0dc1149d20","name":"curved tubes of arbitrary cross-section","description":"Tube-shaped domains whose cross-sectional shape is not restricted to a specific form.","aliases":["curved tubes"],"types":["geometric domain"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"concept","status":"active","confidence":null,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","concept.status"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"papers":[{"corpus_id":10366083,"title":"A lower bound to the spectral threshold in curved tubes","citation_count":26,"url":"https://sah.borca.ai/papers/10366083"}],"claims":[{"public_id":"cl_a3e24a12dfd6294767db9200935a542b","text":"The lower bound applies to curved tubes of arbitrary cross-section that rotate with the Frenet frame along curves in Euclidean spaces of arbitrary dimension.","corpus_id":10366083,"url":"https://sah.borca.ai/claims/cl_a3e24a12dfd6294767db9200935a542b"}],"related_concepts":[],"resolved_url":"https://sah.borca.ai/concepts/co_edc88312c6a9ee12e1f50f0dc1149d20","url":"https://sah.borca.ai/concepts/co_edc88312c6a9ee12e1f50f0dc1149d20"}