{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SFM3WABEUCQSZSG2JWNEAU545F","short_pith_number":"pith:SFM3WABE","schema_version":"1.0","canonical_sha256":"9159bb0024a0a12cc8da4d9a4053bce947a3f76040e2063b5701000ffaaf246d","source":{"kind":"arxiv","id":"1603.01183","version":1},"attestation_state":"computed","paper":{"title":"Solving systems of polynomial inequalities with algebraic geometry methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DS","authors_text":"Antonio Tornamb\\`e, Corrado Possieri, Laura Menini","submitted_at":"2016-03-03T17:11:28Z","abstract_excerpt":"The goal of this paper is to provide computational tools able to find a solution of a system of polynomial inequalities. The set of inequalities is reformulated as a system of polynomial equations. Three different methods, two of which taken from the literature, are proposed to compute solutions of such a system. An example of how such procedures can be used to solve the static output feedback stabilization problem for a linear parametrically-varying system is reported."},"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":"1603.01183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-03T17:11:28Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b7dbc360c17e7e989d0bb54de6a5007ded7da0208ed365ecd1a9cecfa7f65273","abstract_canon_sha256":"57bf97bc8853b498bb7e6d05245e88c3e6245d83133de54600a9ab27c480522a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:39.469020Z","signature_b64":"92OyUEjh760tzAR99ITgNclm7oq+9aHbuq/DSUyAZiljpz0pdn4mr4bZW5kAghgS+ehzc9RFiq5fR43C7GwFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9159bb0024a0a12cc8da4d9a4053bce947a3f76040e2063b5701000ffaaf246d","last_reissued_at":"2026-05-18T01:19:39.468384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:39.468384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solving systems of polynomial inequalities with algebraic geometry methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DS","authors_text":"Antonio Tornamb\\`e, Corrado Possieri, Laura Menini","submitted_at":"2016-03-03T17:11:28Z","abstract_excerpt":"The goal of this paper is to provide computational tools able to find a solution of a system of polynomial inequalities. The set of inequalities is reformulated as a system of polynomial equations. Three different methods, two of which taken from the literature, are proposed to compute solutions of such a system. An example of how such procedures can be used to solve the static output feedback stabilization problem for a linear parametrically-varying system is reported."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01183","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":"1603.01183","created_at":"2026-05-18T01:19:39.468486+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.01183v1","created_at":"2026-05-18T01:19:39.468486+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01183","created_at":"2026-05-18T01:19:39.468486+00:00"},{"alias_kind":"pith_short_12","alias_value":"SFM3WABEUCQS","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SFM3WABEUCQSZSG2","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SFM3WABE","created_at":"2026-05-18T12:30:44.179134+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/SFM3WABEUCQSZSG2JWNEAU545F","json":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F.json","graph_json":"https://pith.science/api/pith-number/SFM3WABEUCQSZSG2JWNEAU545F/graph.json","events_json":"https://pith.science/api/pith-number/SFM3WABEUCQSZSG2JWNEAU545F/events.json","paper":"https://pith.science/paper/SFM3WABE"},"agent_actions":{"view_html":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F","download_json":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F.json","view_paper":"https://pith.science/paper/SFM3WABE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.01183&json=true","fetch_graph":"https://pith.science/api/pith-number/SFM3WABEUCQSZSG2JWNEAU545F/graph.json","fetch_events":"https://pith.science/api/pith-number/SFM3WABEUCQSZSG2JWNEAU545F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F/action/storage_attestation","attest_author":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F/action/author_attestation","sign_citation":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F/action/citation_signature","submit_replication":"https://pith.science/pith/SFM3WABEUCQSZSG2JWNEAU545F/action/replication_record"}},"created_at":"2026-05-18T01:19:39.468486+00:00","updated_at":"2026-05-18T01:19:39.468486+00:00"}