{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:3MG7X7S7HU7IHFQBA5BPU6IBZK","short_pith_number":"pith:3MG7X7S7","schema_version":"1.0","canonical_sha256":"db0dfbfe5f3d3e8396010742fa7901caa5c148c1a247ecffce0b1e42c7ef5708","source":{"kind":"arxiv","id":"math/0212362","version":3},"attestation_state":"computed","paper":{"title":"Bicanonical and adjoint linear systems on surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eckart Viehweg, Meng Chen","submitted_at":"2002-12-28T17:32:35Z","abstract_excerpt":"This note contains a new proof of a theorem of Gang Xiao saying that the bicanonical map of a surface S of general type is generically finite if and only if the second plurigenus of S is strictly larger than 2. Such properties are also studied for adjoint linear systems |K_S+L|, where L is any divisor with at least 2 linearly independent sections."},"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":"math/0212362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2002-12-28T17:32:35Z","cross_cats_sorted":[],"title_canon_sha256":"aeff0b8855b8942861361a37e44922b3bbcdcdd60ff12c4f57652eb068556c62","abstract_canon_sha256":"cf6fd887039ba99ab152d388274c9e399f07f8aa2f55aad0ad9f7417ad07a667"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:33.190650Z","signature_b64":"wp5T7FIizcnNYt8C3Fo/Y2OkHvMIerxU/bN4+gh57n5dRi1jmnqhjfruXL79c2yOOioK1KNLP+KcDImiTPOzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db0dfbfe5f3d3e8396010742fa7901caa5c148c1a247ecffce0b1e42c7ef5708","last_reissued_at":"2026-05-18T03:49:33.189770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:33.189770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bicanonical and adjoint linear systems on surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eckart Viehweg, Meng Chen","submitted_at":"2002-12-28T17:32:35Z","abstract_excerpt":"This note contains a new proof of a theorem of Gang Xiao saying that the bicanonical map of a surface S of general type is generically finite if and only if the second plurigenus of S is strictly larger than 2. Such properties are also studied for adjoint linear systems |K_S+L|, where L is any divisor with at least 2 linearly independent sections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0212362","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":"math/0212362","created_at":"2026-05-18T03:49:33.189931+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0212362v3","created_at":"2026-05-18T03:49:33.189931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0212362","created_at":"2026-05-18T03:49:33.189931+00:00"},{"alias_kind":"pith_short_12","alias_value":"3MG7X7S7HU7I","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3MG7X7S7HU7IHFQB","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3MG7X7S7","created_at":"2026-05-18T12:25:50.845339+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/3MG7X7S7HU7IHFQBA5BPU6IBZK","json":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK.json","graph_json":"https://pith.science/api/pith-number/3MG7X7S7HU7IHFQBA5BPU6IBZK/graph.json","events_json":"https://pith.science/api/pith-number/3MG7X7S7HU7IHFQBA5BPU6IBZK/events.json","paper":"https://pith.science/paper/3MG7X7S7"},"agent_actions":{"view_html":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK","download_json":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK.json","view_paper":"https://pith.science/paper/3MG7X7S7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0212362&json=true","fetch_graph":"https://pith.science/api/pith-number/3MG7X7S7HU7IHFQBA5BPU6IBZK/graph.json","fetch_events":"https://pith.science/api/pith-number/3MG7X7S7HU7IHFQBA5BPU6IBZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK/action/storage_attestation","attest_author":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK/action/author_attestation","sign_citation":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK/action/citation_signature","submit_replication":"https://pith.science/pith/3MG7X7S7HU7IHFQBA5BPU6IBZK/action/replication_record"}},"created_at":"2026-05-18T03:49:33.189931+00:00","updated_at":"2026-05-18T03:49:33.189931+00:00"}