{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TMSRXYHA5MQ52BNMDGRA6JOQ4K","short_pith_number":"pith:TMSRXYHA","schema_version":"1.0","canonical_sha256":"9b251be0e0eb21dd05ac19a20f25d0e2b458945d5b4399fa155c3154e0a53ca9","source":{"kind":"arxiv","id":"1711.00312","version":1},"attestation_state":"computed","paper":{"title":"The Potential and Challenges of CAD with Equational Constraints for SC-Square","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"James H. Davenport, Matthew England","submitted_at":"2017-11-01T12:36:15Z","abstract_excerpt":"Cylindrical algebraic decomposition (CAD) is a core algorithm within Symbolic Computation, particularly for quantifier elimination over the reals and polynomial systems solving more generally. It is now finding increased application as a decision procedure for Satisfiability Modulo Theories (SMT) solvers when working with non-linear real arithmetic. We discuss the potentials from increased focus on the logical structure of the input brought by the SMT applications and SC-Square project, particularly the presence of equational constraints. We also highlight the challenges for exploiting these: "},"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":"1711.00312","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2017-11-01T12:36:15Z","cross_cats_sorted":[],"title_canon_sha256":"8f56983d4751e8d9a66fa06457cd590bfa7ad9f4997a2cbf80cbd39f27c8d18a","abstract_canon_sha256":"1ce88687b9242b4e056e5c87d65c022d759f2b034f7fab44c5f637e3faa74970"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:30.025903Z","signature_b64":"AtGYyncg+ybl5USgXJALaSm3BvFi6q4MlgYTzasXpchPlPSQIhKUQYt58tMIJUtN58rQVLHkwLIc7zJu/Tl6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b251be0e0eb21dd05ac19a20f25d0e2b458945d5b4399fa155c3154e0a53ca9","last_reissued_at":"2026-05-18T00:27:30.025033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:30.025033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Potential and Challenges of CAD with Equational Constraints for SC-Square","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"James H. Davenport, Matthew England","submitted_at":"2017-11-01T12:36:15Z","abstract_excerpt":"Cylindrical algebraic decomposition (CAD) is a core algorithm within Symbolic Computation, particularly for quantifier elimination over the reals and polynomial systems solving more generally. It is now finding increased application as a decision procedure for Satisfiability Modulo Theories (SMT) solvers when working with non-linear real arithmetic. We discuss the potentials from increased focus on the logical structure of the input brought by the SMT applications and SC-Square project, particularly the presence of equational constraints. We also highlight the challenges for exploiting these: "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00312","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":"1711.00312","created_at":"2026-05-18T00:27:30.025187+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.00312v1","created_at":"2026-05-18T00:27:30.025187+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00312","created_at":"2026-05-18T00:27:30.025187+00:00"},{"alias_kind":"pith_short_12","alias_value":"TMSRXYHA5MQ5","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"TMSRXYHA5MQ52BNM","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"TMSRXYHA","created_at":"2026-05-18T12:31:46.661854+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/TMSRXYHA5MQ52BNMDGRA6JOQ4K","json":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K.json","graph_json":"https://pith.science/api/pith-number/TMSRXYHA5MQ52BNMDGRA6JOQ4K/graph.json","events_json":"https://pith.science/api/pith-number/TMSRXYHA5MQ52BNMDGRA6JOQ4K/events.json","paper":"https://pith.science/paper/TMSRXYHA"},"agent_actions":{"view_html":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K","download_json":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K.json","view_paper":"https://pith.science/paper/TMSRXYHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.00312&json=true","fetch_graph":"https://pith.science/api/pith-number/TMSRXYHA5MQ52BNMDGRA6JOQ4K/graph.json","fetch_events":"https://pith.science/api/pith-number/TMSRXYHA5MQ52BNMDGRA6JOQ4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K/action/storage_attestation","attest_author":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K/action/author_attestation","sign_citation":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K/action/citation_signature","submit_replication":"https://pith.science/pith/TMSRXYHA5MQ52BNMDGRA6JOQ4K/action/replication_record"}},"created_at":"2026-05-18T00:27:30.025187+00:00","updated_at":"2026-05-18T00:27:30.025187+00:00"}