{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AGVXXA56JNHTX6DP7AUDQDAG6X","short_pith_number":"pith:AGVXXA56","schema_version":"1.0","canonical_sha256":"01ab7b83be4b4f3bf86ff828380c06f5e22d44971505c0881fd61a474bb0c101","source":{"kind":"arxiv","id":"1206.4496","version":2},"attestation_state":"computed","paper":{"title":"On dominant rational maps from products of curves to surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Bastianelli, Gian Pietro Pirola","submitted_at":"2012-06-20T13:53:32Z","abstract_excerpt":"In this paper we investigate the existence of generically finite dominant rational maps from products of curves to surfaces of general type. We prove that the product CxD of two distinct very general curves of genus g>6 and g'>1 does not admit dominant rational maps on other surfaces of general type."},"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":"1206.4496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-20T13:53:32Z","cross_cats_sorted":[],"title_canon_sha256":"800accb3b16ec1d8f9ba0474b9c24318390ad620818041622c59cd168082088c","abstract_canon_sha256":"13025cbd7fa86ff2eae1be57d28497e832cd692a5f485f67942f71d455caf2ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:17.339828Z","signature_b64":"qv1fRCFFElHSc/A+McZOomj6yeTD44PMlxJGPWJ4dJWE6sVOIOOPe7OVgSJQtW922p52j/wggOYz3W0BAYzdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01ab7b83be4b4f3bf86ff828380c06f5e22d44971505c0881fd61a474bb0c101","last_reissued_at":"2026-05-18T02:41:17.339376Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:17.339376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On dominant rational maps from products of curves to surfaces of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Bastianelli, Gian Pietro Pirola","submitted_at":"2012-06-20T13:53:32Z","abstract_excerpt":"In this paper we investigate the existence of generically finite dominant rational maps from products of curves to surfaces of general type. We prove that the product CxD of two distinct very general curves of genus g>6 and g'>1 does not admit dominant rational maps on other surfaces of general type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4496","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":"1206.4496","created_at":"2026-05-18T02:41:17.339442+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.4496v2","created_at":"2026-05-18T02:41:17.339442+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4496","created_at":"2026-05-18T02:41:17.339442+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGVXXA56JNHT","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGVXXA56JNHTX6DP","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGVXXA56","created_at":"2026-05-18T12:26:58.693483+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/AGVXXA56JNHTX6DP7AUDQDAG6X","json":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X.json","graph_json":"https://pith.science/api/pith-number/AGVXXA56JNHTX6DP7AUDQDAG6X/graph.json","events_json":"https://pith.science/api/pith-number/AGVXXA56JNHTX6DP7AUDQDAG6X/events.json","paper":"https://pith.science/paper/AGVXXA56"},"agent_actions":{"view_html":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X","download_json":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X.json","view_paper":"https://pith.science/paper/AGVXXA56","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.4496&json=true","fetch_graph":"https://pith.science/api/pith-number/AGVXXA56JNHTX6DP7AUDQDAG6X/graph.json","fetch_events":"https://pith.science/api/pith-number/AGVXXA56JNHTX6DP7AUDQDAG6X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X/action/storage_attestation","attest_author":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X/action/author_attestation","sign_citation":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X/action/citation_signature","submit_replication":"https://pith.science/pith/AGVXXA56JNHTX6DP7AUDQDAG6X/action/replication_record"}},"created_at":"2026-05-18T02:41:17.339442+00:00","updated_at":"2026-05-18T02:41:17.339442+00:00"}