{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GHDX5FA7R756KG5GR4Z2VTBPJY","short_pith_number":"pith:GHDX5FA7","schema_version":"1.0","canonical_sha256":"31c77e941f8ffbe51ba68f33aacc2f4e265ddd0d30eb4b5fbb941040346dc24e","source":{"kind":"arxiv","id":"1810.00916","version":1},"attestation_state":"computed","paper":{"title":"Handling Nominals and Inverse Roles using Algebraic Reasoning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Humaira Farid, Volker Haarslev","submitted_at":"2018-10-01T18:40:57Z","abstract_excerpt":"This paper presents a novel SHOI tableau calculus which incorporates algebraic reasoning for deciding ontology consistency. Numerical restrictions imposed by nominals, existential and universal restrictions are encoded into a set of linear inequalities. Column generation and branch-and-price algorithms are used to solve these inequalities. Our preliminary experiments indicate that this calculus performs better on SHOI ontologies than standard tableau methods."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.00916","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2018-10-01T18:40:57Z","cross_cats_sorted":[],"title_canon_sha256":"7b1825eb356feb1998e3599bec331ed2b968a6821a2764d95aa38286ce04269d","abstract_canon_sha256":"5ce843776c300203a6653d02cce14b8dbb2e4e4007daeda803a5244c11838af1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:19.635586Z","signature_b64":"fCl6Dqsqo7in8pJh64srcDkHHo7kepMGxFY531DTfR9Yy6YYo/mS5PpzffrzGbQtRqjS6SaWMjelSwnpxIOsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31c77e941f8ffbe51ba68f33aacc2f4e265ddd0d30eb4b5fbb941040346dc24e","last_reissued_at":"2026-05-18T00:04:19.634982Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:19.634982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Handling Nominals and Inverse Roles using Algebraic Reasoning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Humaira Farid, Volker Haarslev","submitted_at":"2018-10-01T18:40:57Z","abstract_excerpt":"This paper presents a novel SHOI tableau calculus which incorporates algebraic reasoning for deciding ontology consistency. Numerical restrictions imposed by nominals, existential and universal restrictions are encoded into a set of linear inequalities. Column generation and branch-and-price algorithms are used to solve these inequalities. Our preliminary experiments indicate that this calculus performs better on SHOI ontologies than standard tableau methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00916","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.00916","created_at":"2026-05-18T00:04:19.635059+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.00916v1","created_at":"2026-05-18T00:04:19.635059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00916","created_at":"2026-05-18T00:04:19.635059+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHDX5FA7R756","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHDX5FA7R756KG5G","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHDX5FA7","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY","json":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY.json","graph_json":"https://pith.science/api/pith-number/GHDX5FA7R756KG5GR4Z2VTBPJY/graph.json","events_json":"https://pith.science/api/pith-number/GHDX5FA7R756KG5GR4Z2VTBPJY/events.json","paper":"https://pith.science/paper/GHDX5FA7"},"agent_actions":{"view_html":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY","download_json":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY.json","view_paper":"https://pith.science/paper/GHDX5FA7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.00916&json=true","fetch_graph":"https://pith.science/api/pith-number/GHDX5FA7R756KG5GR4Z2VTBPJY/graph.json","fetch_events":"https://pith.science/api/pith-number/GHDX5FA7R756KG5GR4Z2VTBPJY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY/action/storage_attestation","attest_author":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY/action/author_attestation","sign_citation":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY/action/citation_signature","submit_replication":"https://pith.science/pith/GHDX5FA7R756KG5GR4Z2VTBPJY/action/replication_record"}},"created_at":"2026-05-18T00:04:19.635059+00:00","updated_at":"2026-05-18T00:04:19.635059+00:00"}