{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KGWPSL6L6ZAEA2H2RL4LBYW7G5","short_pith_number":"pith:KGWPSL6L","schema_version":"1.0","canonical_sha256":"51acf92fcbf6404068fa8af8b0e2df37413fd2235344126e3453a423dd9a9edd","source":{"kind":"arxiv","id":"1510.09055","version":3},"attestation_state":"computed","paper":{"title":"On Semi-isogenous mixed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Frapporti, Nicola Cancian","submitted_at":"2015-10-30T12:27:21Z","abstract_excerpt":"Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\\mathrm{Aut}(C)^2\\rtimes \\mathbb Z_2$ whose action is \\textit{mixed}, i.e.~there are elements in $G$ exchanging the two isotrivial fibrations of $C\\times C$. Let $G^0\\triangleleft G$ be the index two subgroup $G\\cap\\mathrm{Aut}(C)^2$. If $G^0$ acts freely, then $X:=(C\\times C)/G$ is smooth and we call it \\textit{semi-isogenous mixed surface}. In this paper we give an algorithm to determine semi-isogenous mixed surfaces with given geometric genus, irregularity and self-intersection of the canonical class. As an application we cl"},"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":"1510.09055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-30T12:27:21Z","cross_cats_sorted":[],"title_canon_sha256":"82b25188357621dfa2baaf91f4a0939b796ff15a2094cc9c8ce23920436706c4","abstract_canon_sha256":"8cb3afbe59984519df515ad79b708eb1c9a386e4aa251e825b23b11354ca2ddb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:46.892148Z","signature_b64":"0h2r8KLNLZRx1I+Pu5rZ77ngDnDDigV+D8FJ/zBH19G9pumQtBmDA4SadudcDbWcqQNF2J8CqRvb5k2vWqQ5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51acf92fcbf6404068fa8af8b0e2df37413fd2235344126e3453a423dd9a9edd","last_reissued_at":"2026-05-18T00:40:46.891406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:46.891406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Semi-isogenous mixed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Frapporti, Nicola Cancian","submitted_at":"2015-10-30T12:27:21Z","abstract_excerpt":"Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\\mathrm{Aut}(C)^2\\rtimes \\mathbb Z_2$ whose action is \\textit{mixed}, i.e.~there are elements in $G$ exchanging the two isotrivial fibrations of $C\\times C$. Let $G^0\\triangleleft G$ be the index two subgroup $G\\cap\\mathrm{Aut}(C)^2$. If $G^0$ acts freely, then $X:=(C\\times C)/G$ is smooth and we call it \\textit{semi-isogenous mixed surface}. In this paper we give an algorithm to determine semi-isogenous mixed surfaces with given geometric genus, irregularity and self-intersection of the canonical class. As an application we cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09055","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":"1510.09055","created_at":"2026-05-18T00:40:46.891518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.09055v3","created_at":"2026-05-18T00:40:46.891518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09055","created_at":"2026-05-18T00:40:46.891518+00:00"},{"alias_kind":"pith_short_12","alias_value":"KGWPSL6L6ZAE","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"KGWPSL6L6ZAEA2H2","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"KGWPSL6L","created_at":"2026-05-18T12:29:27.538025+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/KGWPSL6L6ZAEA2H2RL4LBYW7G5","json":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5.json","graph_json":"https://pith.science/api/pith-number/KGWPSL6L6ZAEA2H2RL4LBYW7G5/graph.json","events_json":"https://pith.science/api/pith-number/KGWPSL6L6ZAEA2H2RL4LBYW7G5/events.json","paper":"https://pith.science/paper/KGWPSL6L"},"agent_actions":{"view_html":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5","download_json":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5.json","view_paper":"https://pith.science/paper/KGWPSL6L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.09055&json=true","fetch_graph":"https://pith.science/api/pith-number/KGWPSL6L6ZAEA2H2RL4LBYW7G5/graph.json","fetch_events":"https://pith.science/api/pith-number/KGWPSL6L6ZAEA2H2RL4LBYW7G5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5/action/storage_attestation","attest_author":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5/action/author_attestation","sign_citation":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5/action/citation_signature","submit_replication":"https://pith.science/pith/KGWPSL6L6ZAEA2H2RL4LBYW7G5/action/replication_record"}},"created_at":"2026-05-18T00:40:46.891518+00:00","updated_at":"2026-05-18T00:40:46.891518+00:00"}