{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AA22XPTXZWDGPDQBYFANVSHVG6","short_pith_number":"pith:AA22XPTX","schema_version":"1.0","canonical_sha256":"0035abbe77cd86678e01c140dac8f537801b022b4f34adca2ce3cfe6e2f4fae6","source":{"kind":"arxiv","id":"1703.02316","version":1},"attestation_state":"computed","paper":{"title":"Mixed Threefolds Isogenous to a Product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Gleissner","submitted_at":"2017-03-07T10:34:08Z","abstract_excerpt":"In this paper we study \\emph{threefolds isogenous to a product of mixed type} i.e. quotients of a product of three compact Riemann surfaces $C_i$ of genus at least two by the action of a finite group $G$, which is free, but not diagonal. In particular, we are interested in the systematic construction and classification of these varieties. Our main result is the full classification of threefolds isogenous to a product of mixed type with $\\chi(\\mathcal O_X)=-1$ assuming that any automorphism in $G$, which restricts to the trivial element in $Aut(C_i)$ for some $C_i$, is the identity on the produ"},"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":"1703.02316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-07T10:34:08Z","cross_cats_sorted":[],"title_canon_sha256":"d55bb59b931b4a4d1e08ab70ba59fa5314c1d5996fd27d7c9c97ff83c1ce37c0","abstract_canon_sha256":"9f6172bb85d54475465a5f2bb810e6cd6763cc91c72f271d1b67238e177f69d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:20.258622Z","signature_b64":"DNMHGrF2WiOS3Ryt63etl2AqlZsRQc++rQWUroDNHkjyenvu8aOv5vVgOilbBpEprg+Bct0qVL5tRuvv2maKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0035abbe77cd86678e01c140dac8f537801b022b4f34adca2ce3cfe6e2f4fae6","last_reissued_at":"2026-05-18T00:49:20.258162Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:20.258162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed Threefolds Isogenous to a Product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Gleissner","submitted_at":"2017-03-07T10:34:08Z","abstract_excerpt":"In this paper we study \\emph{threefolds isogenous to a product of mixed type} i.e. quotients of a product of three compact Riemann surfaces $C_i$ of genus at least two by the action of a finite group $G$, which is free, but not diagonal. In particular, we are interested in the systematic construction and classification of these varieties. Our main result is the full classification of threefolds isogenous to a product of mixed type with $\\chi(\\mathcal O_X)=-1$ assuming that any automorphism in $G$, which restricts to the trivial element in $Aut(C_i)$ for some $C_i$, is the identity on the produ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02316","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":"1703.02316","created_at":"2026-05-18T00:49:20.258242+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.02316v1","created_at":"2026-05-18T00:49:20.258242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02316","created_at":"2026-05-18T00:49:20.258242+00:00"},{"alias_kind":"pith_short_12","alias_value":"AA22XPTXZWDG","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AA22XPTXZWDGPDQB","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AA22XPTX","created_at":"2026-05-18T12:31:05.417338+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/AA22XPTXZWDGPDQBYFANVSHVG6","json":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6.json","graph_json":"https://pith.science/api/pith-number/AA22XPTXZWDGPDQBYFANVSHVG6/graph.json","events_json":"https://pith.science/api/pith-number/AA22XPTXZWDGPDQBYFANVSHVG6/events.json","paper":"https://pith.science/paper/AA22XPTX"},"agent_actions":{"view_html":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6","download_json":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6.json","view_paper":"https://pith.science/paper/AA22XPTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.02316&json=true","fetch_graph":"https://pith.science/api/pith-number/AA22XPTXZWDGPDQBYFANVSHVG6/graph.json","fetch_events":"https://pith.science/api/pith-number/AA22XPTXZWDGPDQBYFANVSHVG6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6/action/storage_attestation","attest_author":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6/action/author_attestation","sign_citation":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6/action/citation_signature","submit_replication":"https://pith.science/pith/AA22XPTXZWDGPDQBYFANVSHVG6/action/replication_record"}},"created_at":"2026-05-18T00:49:20.258242+00:00","updated_at":"2026-05-18T00:49:20.258242+00:00"}