{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BWZJQ3CTURHR5NBQ62IGYXD3JL","short_pith_number":"pith:BWZJQ3CT","schema_version":"1.0","canonical_sha256":"0db2986c53a44f1eb430f6906c5c7b4ad97a5891f5315d8cccdb47800ba0dbea","source":{"kind":"arxiv","id":"1612.00586","version":3},"attestation_state":"computed","paper":{"title":"Some remarks on log surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Haidong Liu","submitted_at":"2016-12-02T08:08:18Z","abstract_excerpt":"Fujino and Tanaka established the minimal model theory for $\\mathbb Q$-factorial log surfaces in characteristic $0$ and $p$, respectively. We prove that every intermediate surface has only log terminal singularities if we run the minimal model program starting with a pair consisting of a smooth surface and a boundary $\\mathbb R$-divisor. We further show that such a property does not hold if the initial surface is singular."},"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":"1612.00586","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-02T08:08:18Z","cross_cats_sorted":[],"title_canon_sha256":"64467e3dc401779def850732012957dcc24b359ad6e3d90872a4f69a4ad5847b","abstract_canon_sha256":"b13d7d7b82fde2cd1453a33922fe567ad6fb5ed64a25db250d49de47d1ab867d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:52.450655Z","signature_b64":"z9Jvu5dOQUrPuc6lZjlicDN6mjkyh1uPWVFkjXK/iPQZ4NNsIRdhhUNsrkiaeQ8vxqr1iTC/BKjTgKr8kmdgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0db2986c53a44f1eb430f6906c5c7b4ad97a5891f5315d8cccdb47800ba0dbea","last_reissued_at":"2026-05-17T23:53:52.450024Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:52.450024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some remarks on log surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Haidong Liu","submitted_at":"2016-12-02T08:08:18Z","abstract_excerpt":"Fujino and Tanaka established the minimal model theory for $\\mathbb Q$-factorial log surfaces in characteristic $0$ and $p$, respectively. We prove that every intermediate surface has only log terminal singularities if we run the minimal model program starting with a pair consisting of a smooth surface and a boundary $\\mathbb R$-divisor. We further show that such a property does not hold if the initial surface is singular."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00586","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":"1612.00586","created_at":"2026-05-17T23:53:52.450136+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00586v3","created_at":"2026-05-17T23:53:52.450136+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00586","created_at":"2026-05-17T23:53:52.450136+00:00"},{"alias_kind":"pith_short_12","alias_value":"BWZJQ3CTURHR","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BWZJQ3CTURHR5NBQ","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BWZJQ3CT","created_at":"2026-05-18T12:30:09.641336+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/BWZJQ3CTURHR5NBQ62IGYXD3JL","json":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL.json","graph_json":"https://pith.science/api/pith-number/BWZJQ3CTURHR5NBQ62IGYXD3JL/graph.json","events_json":"https://pith.science/api/pith-number/BWZJQ3CTURHR5NBQ62IGYXD3JL/events.json","paper":"https://pith.science/paper/BWZJQ3CT"},"agent_actions":{"view_html":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL","download_json":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL.json","view_paper":"https://pith.science/paper/BWZJQ3CT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00586&json=true","fetch_graph":"https://pith.science/api/pith-number/BWZJQ3CTURHR5NBQ62IGYXD3JL/graph.json","fetch_events":"https://pith.science/api/pith-number/BWZJQ3CTURHR5NBQ62IGYXD3JL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL/action/storage_attestation","attest_author":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL/action/author_attestation","sign_citation":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL/action/citation_signature","submit_replication":"https://pith.science/pith/BWZJQ3CTURHR5NBQ62IGYXD3JL/action/replication_record"}},"created_at":"2026-05-17T23:53:52.450136+00:00","updated_at":"2026-05-17T23:53:52.450136+00:00"}