{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4NO7GHFHMQDVSWSI2H3J7BFJJX","short_pith_number":"pith:4NO7GHFH","schema_version":"1.0","canonical_sha256":"e35df31ca76407595a48d1f69f84a94de757ab82f566c4340372d8f0eef8b5e7","source":{"kind":"arxiv","id":"1106.1705","version":1},"attestation_state":"computed","paper":{"title":"Factoring threefold divisorial contractions to points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jungkai Alfred Chen","submitted_at":"2011-06-09T05:29:04Z","abstract_excerpt":"We show that terminal 3-fold divisorial contraction to a point of index $>1$ with non-minimal discrepancy may be factored into a sequence of flips, flops and divisorial contractions to a point with minimal discrepancies."},"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":"1106.1705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-09T05:29:04Z","cross_cats_sorted":[],"title_canon_sha256":"b7fd5b0f9c6d2485e03fd50341a0d4fb2d2defda66ab1b7145a6d061149cd0df","abstract_canon_sha256":"b764fcf132808a55b205ee492916b57658fa4f03ce05f9af5dc28f280ad359af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:15.293689Z","signature_b64":"pCJFptLQgc8mKpFMjTYvT87l80W5+iMMWeFCbR9HRXgFM3qWgYLuJ4j0xMou64BzUNcMOkbDVQ8egWZlV76dDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e35df31ca76407595a48d1f69f84a94de757ab82f566c4340372d8f0eef8b5e7","last_reissued_at":"2026-05-18T04:20:15.293226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:15.293226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factoring threefold divisorial contractions to points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jungkai Alfred Chen","submitted_at":"2011-06-09T05:29:04Z","abstract_excerpt":"We show that terminal 3-fold divisorial contraction to a point of index $>1$ with non-minimal discrepancy may be factored into a sequence of flips, flops and divisorial contractions to a point with minimal discrepancies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1705","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":"1106.1705","created_at":"2026-05-18T04:20:15.293292+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.1705v1","created_at":"2026-05-18T04:20:15.293292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1705","created_at":"2026-05-18T04:20:15.293292+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NO7GHFHMQDV","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NO7GHFHMQDVSWSI","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NO7GHFH","created_at":"2026-05-18T12:26:20.644004+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/4NO7GHFHMQDVSWSI2H3J7BFJJX","json":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX.json","graph_json":"https://pith.science/api/pith-number/4NO7GHFHMQDVSWSI2H3J7BFJJX/graph.json","events_json":"https://pith.science/api/pith-number/4NO7GHFHMQDVSWSI2H3J7BFJJX/events.json","paper":"https://pith.science/paper/4NO7GHFH"},"agent_actions":{"view_html":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX","download_json":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX.json","view_paper":"https://pith.science/paper/4NO7GHFH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.1705&json=true","fetch_graph":"https://pith.science/api/pith-number/4NO7GHFHMQDVSWSI2H3J7BFJJX/graph.json","fetch_events":"https://pith.science/api/pith-number/4NO7GHFHMQDVSWSI2H3J7BFJJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX/action/storage_attestation","attest_author":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX/action/author_attestation","sign_citation":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX/action/citation_signature","submit_replication":"https://pith.science/pith/4NO7GHFHMQDVSWSI2H3J7BFJJX/action/replication_record"}},"created_at":"2026-05-18T04:20:15.293292+00:00","updated_at":"2026-05-18T04:20:15.293292+00:00"}