{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RZ662WXBEVUUBUCVB62PWKKLDN","short_pith_number":"pith:RZ662WXB","schema_version":"1.0","canonical_sha256":"8e7ded5ae1256940d0550fb4fb294b1b4d18cf28ec8d59274fc255222a42dfdb","source":{"kind":"arxiv","id":"1707.05047","version":2},"attestation_state":"computed","paper":{"title":"Threefold extremal contractions of type (IIA), II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shigefumi Mori, Yuri Prokhorov","submitted_at":"2017-07-17T09:06:39Z","abstract_excerpt":"Let $(X, C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f: (X, C)\\to (Z, o)$ such that $C=f^{-1}(o)_{red}$ and $-K_X$ is ample. Assume that $(X, C)$ contains a point of type (IIA). This paper continues our study of such germs containing a point of type (IIA) started in our previous paper arXiv:1601.07671."},"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":"1707.05047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-17T09:06:39Z","cross_cats_sorted":[],"title_canon_sha256":"08aa96f2911fdb6dc11a898063fa9853383bccaaebb6fc3f0be89cce8d98993c","abstract_canon_sha256":"8fd737a0befaaa60d34d83ae97afb3e7e917c735a1759db3223bf10db798dfc0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:35.768914Z","signature_b64":"/mqF6t1DJd4D8r4HRFtMDJ6XzszClmoBKubjZAxTRwJgFnzgteBo9RjVB0m4l9CtdkNUYZ0IWcvqN4MpNacZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e7ded5ae1256940d0550fb4fb294b1b4d18cf28ec8d59274fc255222a42dfdb","last_reissued_at":"2026-05-18T00:24:35.768445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:35.768445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Threefold extremal contractions of type (IIA), II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shigefumi Mori, Yuri Prokhorov","submitted_at":"2017-07-17T09:06:39Z","abstract_excerpt":"Let $(X, C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f: (X, C)\\to (Z, o)$ such that $C=f^{-1}(o)_{red}$ and $-K_X$ is ample. Assume that $(X, C)$ contains a point of type (IIA). This paper continues our study of such germs containing a point of type (IIA) started in our previous paper arXiv:1601.07671."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05047","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":"1707.05047","created_at":"2026-05-18T00:24:35.768510+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.05047v2","created_at":"2026-05-18T00:24:35.768510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05047","created_at":"2026-05-18T00:24:35.768510+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZ662WXBEVUU","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZ662WXBEVUUBUCV","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZ662WXB","created_at":"2026-05-18T12:31:43.269735+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/RZ662WXBEVUUBUCVB62PWKKLDN","json":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN.json","graph_json":"https://pith.science/api/pith-number/RZ662WXBEVUUBUCVB62PWKKLDN/graph.json","events_json":"https://pith.science/api/pith-number/RZ662WXBEVUUBUCVB62PWKKLDN/events.json","paper":"https://pith.science/paper/RZ662WXB"},"agent_actions":{"view_html":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN","download_json":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN.json","view_paper":"https://pith.science/paper/RZ662WXB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.05047&json=true","fetch_graph":"https://pith.science/api/pith-number/RZ662WXBEVUUBUCVB62PWKKLDN/graph.json","fetch_events":"https://pith.science/api/pith-number/RZ662WXBEVUUBUCVB62PWKKLDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN/action/storage_attestation","attest_author":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN/action/author_attestation","sign_citation":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN/action/citation_signature","submit_replication":"https://pith.science/pith/RZ662WXBEVUUBUCVB62PWKKLDN/action/replication_record"}},"created_at":"2026-05-18T00:24:35.768510+00:00","updated_at":"2026-05-18T00:24:35.768510+00:00"}