{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:HL4ZQGG7CTHFP25U2J3NQDEWQ2","short_pith_number":"pith:HL4ZQGG7","schema_version":"1.0","canonical_sha256":"3af99818df14ce57ebb4d276d80c9686a39694d2882d0df106474ec60342e803","source":{"kind":"arxiv","id":"math/9705215","version":1},"attestation_state":"computed","paper":{"title":"On Rigidity and the Albanese Variety for Parallelizable Manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\\"org Winkelmann","submitted_at":"1997-05-05T00:00:00Z","abstract_excerpt":"We study the rigidity questions and the Albanese Variety for Complex Parallelizable Manifolds. Both are related to the study of the cohomology group $H^1(X,\\mathcal O)$. In particular we show that a compact complex parallelizable manifold is rigid iff $b_1(X)=0$ iff Alb$(X)=\\{e\\}$ iff $H^1(X,\\mathcal O)=0$."},"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/9705215","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"1997-05-05T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"50e9f04a9a91fa3d18d2ecb32977e175c5a857e9941a46bda3d6237b64317568","abstract_canon_sha256":"f42ee3d9810d4218bcde6644964b8e26c46505481a44c520b84fc64b6fa3c1b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:35.319968Z","signature_b64":"3alIqbM8QPZ1E+18QFbKF9+Sde4/rIDPwZ9sKm+3ska43UK8xtXBmfR3r2jCJqZb+zcXc/tFBkcN8pkAGVI/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3af99818df14ce57ebb4d276d80c9686a39694d2882d0df106474ec60342e803","last_reissued_at":"2026-05-18T01:05:35.319276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:35.319276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Rigidity and the Albanese Variety for Parallelizable Manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\\"org Winkelmann","submitted_at":"1997-05-05T00:00:00Z","abstract_excerpt":"We study the rigidity questions and the Albanese Variety for Complex Parallelizable Manifolds. Both are related to the study of the cohomology group $H^1(X,\\mathcal O)$. In particular we show that a compact complex parallelizable manifold is rigid iff $b_1(X)=0$ iff Alb$(X)=\\{e\\}$ iff $H^1(X,\\mathcal O)=0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9705215","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":"math/9705215","created_at":"2026-05-18T01:05:35.319384+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9705215v1","created_at":"2026-05-18T01:05:35.319384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9705215","created_at":"2026-05-18T01:05:35.319384+00:00"},{"alias_kind":"pith_short_12","alias_value":"HL4ZQGG7CTHF","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"HL4ZQGG7CTHFP25U","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"HL4ZQGG7","created_at":"2026-05-18T12:25:48.327863+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/HL4ZQGG7CTHFP25U2J3NQDEWQ2","json":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2.json","graph_json":"https://pith.science/api/pith-number/HL4ZQGG7CTHFP25U2J3NQDEWQ2/graph.json","events_json":"https://pith.science/api/pith-number/HL4ZQGG7CTHFP25U2J3NQDEWQ2/events.json","paper":"https://pith.science/paper/HL4ZQGG7"},"agent_actions":{"view_html":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2","download_json":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2.json","view_paper":"https://pith.science/paper/HL4ZQGG7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9705215&json=true","fetch_graph":"https://pith.science/api/pith-number/HL4ZQGG7CTHFP25U2J3NQDEWQ2/graph.json","fetch_events":"https://pith.science/api/pith-number/HL4ZQGG7CTHFP25U2J3NQDEWQ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2/action/storage_attestation","attest_author":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2/action/author_attestation","sign_citation":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2/action/citation_signature","submit_replication":"https://pith.science/pith/HL4ZQGG7CTHFP25U2J3NQDEWQ2/action/replication_record"}},"created_at":"2026-05-18T01:05:35.319384+00:00","updated_at":"2026-05-18T01:05:35.319384+00:00"}