{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:D3SWXLVHL5SSWAB7LMMOTHO2RQ","short_pith_number":"pith:D3SWXLVH","schema_version":"1.0","canonical_sha256":"1ee56baea75f652b003f5b18e99dda8c314a4f3be84e15c62bf4699bd1e5fc0a","source":{"kind":"arxiv","id":"1403.0212","version":2},"attestation_state":"computed","paper":{"title":"On deformations of Q-Fano threefolds II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Taro Sano","submitted_at":"2014-03-02T14:24:55Z","abstract_excerpt":"We investigate some coboundary map associated to a $3$-dimensional terminal singularity which is important in the study of deformations of singular $3$-folds. We prove that this map vanishes only for quotient singularities and a $A_{1,2}/4$-singularity, that is, a terminal singularity analytically isomorphic to a $\\mathbb{Z}_4$-quotient of the singularity $ (x^2+y^2 +z^3+u^2=0)$.\n  As an application, we prove that a $\\mathbb{Q}$-Fano $3$-fold with terminal singularities can be deformed to one with only quotient singularities and $A_{1,2}/4$-singularities. We also treat the $\\mathbb{Q}$-smootha"},"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":"1403.0212","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-02T14:24:55Z","cross_cats_sorted":[],"title_canon_sha256":"482d9b95381c5faf2d7f98c0c84ec8e68c650f70d3607e93357330006826c214","abstract_canon_sha256":"dd9b9b93a278026e0f3112bf8c728ebc454ec5f4d51f669856998d93c23c0f9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:08.866632Z","signature_b64":"QfeCu0PcXbPDiejVjtK16Bys34RWa2jE2M1YGbv08H0x+U4jiKYsLEzkcj0Nmsjw0QHw0zmpNP7qDTVgUx9vAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ee56baea75f652b003f5b18e99dda8c314a4f3be84e15c62bf4699bd1e5fc0a","last_reissued_at":"2026-05-18T02:39:08.866060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:08.866060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On deformations of Q-Fano threefolds II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Taro Sano","submitted_at":"2014-03-02T14:24:55Z","abstract_excerpt":"We investigate some coboundary map associated to a $3$-dimensional terminal singularity which is important in the study of deformations of singular $3$-folds. We prove that this map vanishes only for quotient singularities and a $A_{1,2}/4$-singularity, that is, a terminal singularity analytically isomorphic to a $\\mathbb{Z}_4$-quotient of the singularity $ (x^2+y^2 +z^3+u^2=0)$.\n  As an application, we prove that a $\\mathbb{Q}$-Fano $3$-fold with terminal singularities can be deformed to one with only quotient singularities and $A_{1,2}/4$-singularities. We also treat the $\\mathbb{Q}$-smootha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0212","kind":"arxiv","version":2},"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":"1403.0212","created_at":"2026-05-18T02:39:08.866153+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0212v2","created_at":"2026-05-18T02:39:08.866153+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0212","created_at":"2026-05-18T02:39:08.866153+00:00"},{"alias_kind":"pith_short_12","alias_value":"D3SWXLVHL5SS","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"D3SWXLVHL5SSWAB7","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"D3SWXLVH","created_at":"2026-05-18T12:28:25.294606+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/D3SWXLVHL5SSWAB7LMMOTHO2RQ","json":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ.json","graph_json":"https://pith.science/api/pith-number/D3SWXLVHL5SSWAB7LMMOTHO2RQ/graph.json","events_json":"https://pith.science/api/pith-number/D3SWXLVHL5SSWAB7LMMOTHO2RQ/events.json","paper":"https://pith.science/paper/D3SWXLVH"},"agent_actions":{"view_html":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ","download_json":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ.json","view_paper":"https://pith.science/paper/D3SWXLVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0212&json=true","fetch_graph":"https://pith.science/api/pith-number/D3SWXLVHL5SSWAB7LMMOTHO2RQ/graph.json","fetch_events":"https://pith.science/api/pith-number/D3SWXLVHL5SSWAB7LMMOTHO2RQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ/action/storage_attestation","attest_author":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ/action/author_attestation","sign_citation":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ/action/citation_signature","submit_replication":"https://pith.science/pith/D3SWXLVHL5SSWAB7LMMOTHO2RQ/action/replication_record"}},"created_at":"2026-05-18T02:39:08.866153+00:00","updated_at":"2026-05-18T02:39:08.866153+00:00"}