{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BS3QWWKXSQ434IQHPWDYSS7JUF","short_pith_number":"pith:BS3QWWKX","schema_version":"1.0","canonical_sha256":"0cb70b59579439be22077d87894be9a16f6796bc72c699e54386f48db2410309","source":{"kind":"arxiv","id":"0912.5313","version":1},"attestation_state":"computed","paper":{"title":"On volume preserving complex structures on real tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Fabrizio Catanese (Universitaet Bayreuth), Keiji Oguiso (Osaka University), Thomas Peternell (Universitaet Bayreuth)","submitted_at":"2009-12-29T14:37:28Z","abstract_excerpt":"A basic problem in the classification theory of compact complex manifolds is to give simple characterizations of complex tori. It is well known that a compact K\\\"ahler manifold $X$ homotopically equivalent to a a complex torus is biholomorphic to a complex torus.\n  The question whether a compact complex manifold $X$ diffeomorphic to a complex torus is biholomorphic to a complex torus has a negative answer due to a construction by Blanchard and Sommese.\n  Their examples have however negative Kodaira dimension, thus it makes sense to ask the question whether a compact complex manifold $X$ with t"},"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":"0912.5313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-12-29T14:37:28Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5c6ca7e8ca07c78c1a6744a29033ef34b885c45b5bcf7ace3893a756e96cbef0","abstract_canon_sha256":"4df3b52f44d910addcf7c86bae9fa0bc65859f78e627182c49496ab38d18187a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:30.350587Z","signature_b64":"oaF6uZJRvrhHAHxm3CjrcTQbuVvLKrvQndPnGA/RLdgebaRTQDRVBClc76ACGksbknoysFuKr+TpqogF51UeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cb70b59579439be22077d87894be9a16f6796bc72c699e54386f48db2410309","last_reissued_at":"2026-05-18T02:29:30.350188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:30.350188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On volume preserving complex structures on real tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Fabrizio Catanese (Universitaet Bayreuth), Keiji Oguiso (Osaka University), Thomas Peternell (Universitaet Bayreuth)","submitted_at":"2009-12-29T14:37:28Z","abstract_excerpt":"A basic problem in the classification theory of compact complex manifolds is to give simple characterizations of complex tori. It is well known that a compact K\\\"ahler manifold $X$ homotopically equivalent to a a complex torus is biholomorphic to a complex torus.\n  The question whether a compact complex manifold $X$ diffeomorphic to a complex torus is biholomorphic to a complex torus has a negative answer due to a construction by Blanchard and Sommese.\n  Their examples have however negative Kodaira dimension, thus it makes sense to ask the question whether a compact complex manifold $X$ with t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5313","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":"0912.5313","created_at":"2026-05-18T02:29:30.350245+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.5313v1","created_at":"2026-05-18T02:29:30.350245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5313","created_at":"2026-05-18T02:29:30.350245+00:00"},{"alias_kind":"pith_short_12","alias_value":"BS3QWWKXSQ43","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"BS3QWWKXSQ434IQH","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"BS3QWWKX","created_at":"2026-05-18T12:25:58.837520+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/BS3QWWKXSQ434IQHPWDYSS7JUF","json":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF.json","graph_json":"https://pith.science/api/pith-number/BS3QWWKXSQ434IQHPWDYSS7JUF/graph.json","events_json":"https://pith.science/api/pith-number/BS3QWWKXSQ434IQHPWDYSS7JUF/events.json","paper":"https://pith.science/paper/BS3QWWKX"},"agent_actions":{"view_html":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF","download_json":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF.json","view_paper":"https://pith.science/paper/BS3QWWKX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.5313&json=true","fetch_graph":"https://pith.science/api/pith-number/BS3QWWKXSQ434IQHPWDYSS7JUF/graph.json","fetch_events":"https://pith.science/api/pith-number/BS3QWWKXSQ434IQHPWDYSS7JUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF/action/storage_attestation","attest_author":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF/action/author_attestation","sign_citation":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF/action/citation_signature","submit_replication":"https://pith.science/pith/BS3QWWKXSQ434IQHPWDYSS7JUF/action/replication_record"}},"created_at":"2026-05-18T02:29:30.350245+00:00","updated_at":"2026-05-18T02:29:30.350245+00:00"}