{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KHTJDGE5AJPT72DYFRKV633DAR","short_pith_number":"pith:KHTJDGE5","schema_version":"1.0","canonical_sha256":"51e691989d025f3fe8782c555f6f630451f73365c8a799286448df7d0d19b013","source":{"kind":"arxiv","id":"1811.08395","version":1},"attestation_state":"computed","paper":{"title":"Voronoi Cells of Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","math.MG"],"primary_cat":"math.AG","authors_text":"Bernd Sturmfels, Diego Cifuentes, Kristian Ranestad, Madeleine Weinstein","submitted_at":"2018-11-20T18:07:13Z","abstract_excerpt":"Every real algebraic variety determines a Voronoi decomposition of its ambient Euclidean space. Each Voronoi cell is a convex semialgebraic set in the normal space of the variety at a point. We compute the algebraic boundaries of these Voronoi cells."},"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":"1811.08395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-20T18:07:13Z","cross_cats_sorted":["cs.CG","math.MG"],"title_canon_sha256":"65efe2cf585a6423bc60eb9bd77f9fd46b656e8b28a29d962b370368fe8435b1","abstract_canon_sha256":"2ca8a4238cd69d25cf86d77d28e0df42936aab7e6043726d2ed6f69737455943"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:14.193956Z","signature_b64":"GG+VilT87dgoxS/iF1z19P2QITla9EwSbA8g24+iFlqQ38szIwjvLahscWBNZw71+I6WfUX0V3HSriP+ERKQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51e691989d025f3fe8782c555f6f630451f73365c8a799286448df7d0d19b013","last_reissued_at":"2026-05-18T00:00:14.193344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:14.193344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Voronoi Cells of Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","math.MG"],"primary_cat":"math.AG","authors_text":"Bernd Sturmfels, Diego Cifuentes, Kristian Ranestad, Madeleine Weinstein","submitted_at":"2018-11-20T18:07:13Z","abstract_excerpt":"Every real algebraic variety determines a Voronoi decomposition of its ambient Euclidean space. Each Voronoi cell is a convex semialgebraic set in the normal space of the variety at a point. We compute the algebraic boundaries of these Voronoi cells."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08395","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":"1811.08395","created_at":"2026-05-18T00:00:14.193426+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.08395v1","created_at":"2026-05-18T00:00:14.193426+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08395","created_at":"2026-05-18T00:00:14.193426+00:00"},{"alias_kind":"pith_short_12","alias_value":"KHTJDGE5AJPT","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KHTJDGE5AJPT72DY","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KHTJDGE5","created_at":"2026-05-18T12:32:33.847187+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/KHTJDGE5AJPT72DYFRKV633DAR","json":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR.json","graph_json":"https://pith.science/api/pith-number/KHTJDGE5AJPT72DYFRKV633DAR/graph.json","events_json":"https://pith.science/api/pith-number/KHTJDGE5AJPT72DYFRKV633DAR/events.json","paper":"https://pith.science/paper/KHTJDGE5"},"agent_actions":{"view_html":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR","download_json":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR.json","view_paper":"https://pith.science/paper/KHTJDGE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.08395&json=true","fetch_graph":"https://pith.science/api/pith-number/KHTJDGE5AJPT72DYFRKV633DAR/graph.json","fetch_events":"https://pith.science/api/pith-number/KHTJDGE5AJPT72DYFRKV633DAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR/action/storage_attestation","attest_author":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR/action/author_attestation","sign_citation":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR/action/citation_signature","submit_replication":"https://pith.science/pith/KHTJDGE5AJPT72DYFRKV633DAR/action/replication_record"}},"created_at":"2026-05-18T00:00:14.193426+00:00","updated_at":"2026-05-18T00:00:14.193426+00:00"}