{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RCXFSCFSA6JKR4H3B3Q3I6D3V7","short_pith_number":"pith:RCXFSCFS","schema_version":"1.0","canonical_sha256":"88ae5908b20792a8f0fb0ee1b4787bafd16b7f9b0c48cbe18dd87c6f9c6555b1","source":{"kind":"arxiv","id":"1109.3205","version":1},"attestation_state":"computed","paper":{"title":"Resolution of singularities of pairs preserving semi-simple normal crossings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CV"],"primary_cat":"math.AG","authors_text":"Edward Bierstone, Franklin Vera Pacheco","submitted_at":"2011-09-14T20:31:59Z","abstract_excerpt":"Let X denote a reduced algebraic variety and D a Weil divisor on X. The pair (X,D) is said to be semi-simple normal crossings (semi-snc) at a point a of X if X is simple normal crossings at a (i.e., a simple normal crossings hypersurface, with respect to a local embedding in a smooth ambient variety), and D is induced by the restriction to X of a hypersurface that is simple normal crossings with respect to X. We construct a composition of blowings-up f: X' -> X such that the transformed pair (X',D') is everywhere semi-simple normal crossings, and f is an isomorphism over the semi-simple normal"},"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":"1109.3205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T20:31:59Z","cross_cats_sorted":["math.AC","math.CV"],"title_canon_sha256":"8de157deb19901ec567e8392289c788a62e8750cf0672f7e30f8f40fd86523c3","abstract_canon_sha256":"8c456c03ddaf67448e1da643273b276dd32e7c92562ee1cd512c380d03f8bf84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:57.265939Z","signature_b64":"BSLNmf/oI4tk6EJ0rJUJcfdjBgQVbNpMleji9lBQkUSbyLWLYmciJMrSRNJzjd2wyGu0sHlsuas4rvcP04yqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88ae5908b20792a8f0fb0ee1b4787bafd16b7f9b0c48cbe18dd87c6f9c6555b1","last_reissued_at":"2026-05-18T04:12:57.265429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:57.265429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resolution of singularities of pairs preserving semi-simple normal crossings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CV"],"primary_cat":"math.AG","authors_text":"Edward Bierstone, Franklin Vera Pacheco","submitted_at":"2011-09-14T20:31:59Z","abstract_excerpt":"Let X denote a reduced algebraic variety and D a Weil divisor on X. The pair (X,D) is said to be semi-simple normal crossings (semi-snc) at a point a of X if X is simple normal crossings at a (i.e., a simple normal crossings hypersurface, with respect to a local embedding in a smooth ambient variety), and D is induced by the restriction to X of a hypersurface that is simple normal crossings with respect to X. We construct a composition of blowings-up f: X' -> X such that the transformed pair (X',D') is everywhere semi-simple normal crossings, and f is an isomorphism over the semi-simple normal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3205","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":"1109.3205","created_at":"2026-05-18T04:12:57.265498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.3205v1","created_at":"2026-05-18T04:12:57.265498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3205","created_at":"2026-05-18T04:12:57.265498+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCXFSCFSA6JK","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCXFSCFSA6JKR4H3","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCXFSCFS","created_at":"2026-05-18T12:26:41.206345+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/RCXFSCFSA6JKR4H3B3Q3I6D3V7","json":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7.json","graph_json":"https://pith.science/api/pith-number/RCXFSCFSA6JKR4H3B3Q3I6D3V7/graph.json","events_json":"https://pith.science/api/pith-number/RCXFSCFSA6JKR4H3B3Q3I6D3V7/events.json","paper":"https://pith.science/paper/RCXFSCFS"},"agent_actions":{"view_html":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7","download_json":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7.json","view_paper":"https://pith.science/paper/RCXFSCFS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.3205&json=true","fetch_graph":"https://pith.science/api/pith-number/RCXFSCFSA6JKR4H3B3Q3I6D3V7/graph.json","fetch_events":"https://pith.science/api/pith-number/RCXFSCFSA6JKR4H3B3Q3I6D3V7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7/action/storage_attestation","attest_author":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7/action/author_attestation","sign_citation":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7/action/citation_signature","submit_replication":"https://pith.science/pith/RCXFSCFSA6JKR4H3B3Q3I6D3V7/action/replication_record"}},"created_at":"2026-05-18T04:12:57.265498+00:00","updated_at":"2026-05-18T04:12:57.265498+00:00"}