{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:NQHDTTBB44JY2MMIAPTFDKKFO3","short_pith_number":"pith:NQHDTTBB","schema_version":"1.0","canonical_sha256":"6c0e39cc21e7138d318803e651a94576f8e1dea4d3adc592bb25a0b203a6f200","source":{"kind":"arxiv","id":"1605.02792","version":1},"attestation_state":"computed","paper":{"title":"Vaisman nilmanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.DG","authors_text":"Giovanni Bazzoni","submitted_at":"2016-05-09T21:37:30Z","abstract_excerpt":"We prove that if a compact nilmanifold $\\Gamma\\backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\\mathbb{R}$."},"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":"1605.02792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-09T21:37:30Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"b465bb5bfca7818cb0da9e7c816bffffd96960135308a5b5f9e5fe57400623cf","abstract_canon_sha256":"1f7ea855c90031287ea519df89f1eb5d8c713230ca1d905c50722ae2c0adcee0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:27.081605Z","signature_b64":"HYm4QFt8V12NLBa5ICJt1YOsNyM0bCCdkJ8FT3jfK95EQ/vZhepBKzAwV2IOE/ASYPzKcMpYLiTB+ghrJqWbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c0e39cc21e7138d318803e651a94576f8e1dea4d3adc592bb25a0b203a6f200","last_reissued_at":"2026-05-17T23:54:27.081067Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:27.081067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vaisman nilmanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.DG","authors_text":"Giovanni Bazzoni","submitted_at":"2016-05-09T21:37:30Z","abstract_excerpt":"We prove that if a compact nilmanifold $\\Gamma\\backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\\mathbb{R}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02792","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":"1605.02792","created_at":"2026-05-17T23:54:27.081161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02792v1","created_at":"2026-05-17T23:54:27.081161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02792","created_at":"2026-05-17T23:54:27.081161+00:00"},{"alias_kind":"pith_short_12","alias_value":"NQHDTTBB44JY","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"NQHDTTBB44JY2MMI","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"NQHDTTBB","created_at":"2026-05-18T12:30:36.002864+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/NQHDTTBB44JY2MMIAPTFDKKFO3","json":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3.json","graph_json":"https://pith.science/api/pith-number/NQHDTTBB44JY2MMIAPTFDKKFO3/graph.json","events_json":"https://pith.science/api/pith-number/NQHDTTBB44JY2MMIAPTFDKKFO3/events.json","paper":"https://pith.science/paper/NQHDTTBB"},"agent_actions":{"view_html":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3","download_json":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3.json","view_paper":"https://pith.science/paper/NQHDTTBB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02792&json=true","fetch_graph":"https://pith.science/api/pith-number/NQHDTTBB44JY2MMIAPTFDKKFO3/graph.json","fetch_events":"https://pith.science/api/pith-number/NQHDTTBB44JY2MMIAPTFDKKFO3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3/action/storage_attestation","attest_author":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3/action/author_attestation","sign_citation":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3/action/citation_signature","submit_replication":"https://pith.science/pith/NQHDTTBB44JY2MMIAPTFDKKFO3/action/replication_record"}},"created_at":"2026-05-17T23:54:27.081161+00:00","updated_at":"2026-05-17T23:54:27.081161+00:00"}