{"public_id":"cl_85bc8e363b7335146ffd0e9ba0df3843","status":"active","superseded_by_public_id":null,"corpus_id":318569,"text":"The geometric basis-construction method is applied to the Coxeter arrangements of types A, B, and D and to interpolating arrangements.","confidence":0.94,"paper":{"corpus_id":318569,"title":"Geometrically Constructed Bases for Homology of Partition Lattices of Types A, B and D","url":"https://sah.borca.ai/papers/318569"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.94,"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","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_550580682023ff81d79ef6dd4f264c4d","name":"geometric method for constructing combinatorial homology bases","description":"A procedure that uses geometric data from hyperplane arrangements to produce combinatorial homology bases.","types":["method"],"url":"https://sah.borca.ai/concepts/co_550580682023ff81d79ef6dd4f264c4d"},{"public_id":"co_6d7d6c8e3a1b819f0d2d75aac78a1a7f","name":"Coxeter arrangements of types A, B and D","description":"The Coxeter hyperplane arrangements associated with types A, B, and D.","types":["hyperplane arrangement"],"url":"https://sah.borca.ai/concepts/co_6d7d6c8e3a1b819f0d2d75aac78a1a7f"},{"public_id":"co_bb86929de4bcdc13c9d8b2e942b5407e","name":"interpolating arrangements","description":"Arrangements that interpolate between the Coxeter-type cases considered in the paper.","types":["hyperplane arrangement"],"url":"https://sah.borca.ai/concepts/co_bb86929de4bcdc13c9d8b2e942b5407e"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_85bc8e363b7335146ffd0e9ba0df3843"}