{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OUQ2DXSJVG552BR2CZSEMAKWZE","short_pith_number":"pith:OUQ2DXSJ","schema_version":"1.0","canonical_sha256":"7521a1de49a9bbdd063a1664460156c9370451a952567b3cd0ae17c63fa71473","source":{"kind":"arxiv","id":"2412.09848","version":3},"attestation_state":"computed","paper":{"title":"Polarized cylinders in Du Val del Pezzo surfaces of degree two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Masatomo Sawahara","submitted_at":"2024-12-13T04:31:22Z","abstract_excerpt":"Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\\mathbb{Q}$-divisor $H$ on $S$."},"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":"2412.09848","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-13T04:31:22Z","cross_cats_sorted":[],"title_canon_sha256":"068ca86d953a2025c1f15981da1543b2a25755fd4ce1c0a07b9bad441dd59901","abstract_canon_sha256":"848721af530a054571c751ff60d8b77a56895c5d3a37699748266fa9afec7ff4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:01.644395Z","signature_b64":"l3jXUZ5dQctJzcYCmX3tnnmMrgq1I4oVSHSaTU91zR0QeDZ30iGF3wvQkVFJGa8nadGGO6jQWA3mbpBF+PhkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7521a1de49a9bbdd063a1664460156c9370451a952567b3cd0ae17c63fa71473","last_reissued_at":"2026-05-17T23:39:01.643683Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:01.643683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polarized cylinders in Du Val del Pezzo surfaces of degree two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Masatomo Sawahara","submitted_at":"2024-12-13T04:31:22Z","abstract_excerpt":"Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\\mathbb{Q}$-divisor $H$ on $S$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09848","kind":"arxiv","version":3},"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":"2412.09848","created_at":"2026-05-17T23:39:01.643814+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.09848v3","created_at":"2026-05-17T23:39:01.643814+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09848","created_at":"2026-05-17T23:39:01.643814+00:00"},{"alias_kind":"pith_short_12","alias_value":"OUQ2DXSJVG55","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"OUQ2DXSJVG552BR2","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"OUQ2DXSJ","created_at":"2026-05-18T12:33:37.589309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.10244","citing_title":"Polarized cylinders on blow-ups of weighted projective planes","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE","json":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE.json","graph_json":"https://pith.science/api/pith-number/OUQ2DXSJVG552BR2CZSEMAKWZE/graph.json","events_json":"https://pith.science/api/pith-number/OUQ2DXSJVG552BR2CZSEMAKWZE/events.json","paper":"https://pith.science/paper/OUQ2DXSJ"},"agent_actions":{"view_html":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE","download_json":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE.json","view_paper":"https://pith.science/paper/OUQ2DXSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.09848&json=true","fetch_graph":"https://pith.science/api/pith-number/OUQ2DXSJVG552BR2CZSEMAKWZE/graph.json","fetch_events":"https://pith.science/api/pith-number/OUQ2DXSJVG552BR2CZSEMAKWZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE/action/storage_attestation","attest_author":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE/action/author_attestation","sign_citation":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE/action/citation_signature","submit_replication":"https://pith.science/pith/OUQ2DXSJVG552BR2CZSEMAKWZE/action/replication_record"}},"created_at":"2026-05-17T23:39:01.643814+00:00","updated_at":"2026-05-17T23:39:01.643814+00:00"}