{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XYFBUF6PQCCXRNNY7TNJNGM56L","short_pith_number":"pith:XYFBUF6P","schema_version":"1.0","canonical_sha256":"be0a1a17cf808578b5b8fcda96999df2e5dba5006ad8f65f4d23dbc05251af98","source":{"kind":"arxiv","id":"1701.05843","version":2},"attestation_state":"computed","paper":{"title":"The spectral sequence of the canonical foliation on Vaisman manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Liviu Ornea, Vladimir Slesar","submitted_at":"2017-01-20T16:15:46Z","abstract_excerpt":"In this paper we investigate the spectral sequence associated to a Riemannian foliation which arises naturally on a Vaisman manifold. Using the Betti numbers of the underlying manifold we establish a lower bound for the dimension of some terms of this cohomological object. This way we obtain cohomological obstructions for two-dimensional foliations to be induced from a Vaisman structure. We show that if the foliation is quasi-regular the lower bound is realized. In the final part of the paper we discuss two examples."},"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":"1701.05843","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-20T16:15:46Z","cross_cats_sorted":[],"title_canon_sha256":"41b6d7dff03b0008e23382cdcae8d527fdc6fbf759111a38983c05b2df9cfe8b","abstract_canon_sha256":"21c97080a2229e8bb98889461a1fa4b32adc866ea327031070a11db5245114d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:02.800229Z","signature_b64":"Oqik/j21syVh11yZz1oZMxewKG6qwEq8ki/ap6X6syLUKVQjwcm+b6kHu/xu7Pw2tdjn/xl0Q21SO1Sp8dp7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be0a1a17cf808578b5b8fcda96999df2e5dba5006ad8f65f4d23dbc05251af98","last_reissued_at":"2026-05-18T00:51:02.799689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:02.799689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The spectral sequence of the canonical foliation on Vaisman manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Liviu Ornea, Vladimir Slesar","submitted_at":"2017-01-20T16:15:46Z","abstract_excerpt":"In this paper we investigate the spectral sequence associated to a Riemannian foliation which arises naturally on a Vaisman manifold. Using the Betti numbers of the underlying manifold we establish a lower bound for the dimension of some terms of this cohomological object. This way we obtain cohomological obstructions for two-dimensional foliations to be induced from a Vaisman structure. We show that if the foliation is quasi-regular the lower bound is realized. In the final part of the paper we discuss two examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05843","kind":"arxiv","version":2},"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":"1701.05843","created_at":"2026-05-18T00:51:02.799768+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.05843v2","created_at":"2026-05-18T00:51:02.799768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05843","created_at":"2026-05-18T00:51:02.799768+00:00"},{"alias_kind":"pith_short_12","alias_value":"XYFBUF6PQCCX","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XYFBUF6PQCCXRNNY","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XYFBUF6P","created_at":"2026-05-18T12:31:56.362134+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/XYFBUF6PQCCXRNNY7TNJNGM56L","json":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L.json","graph_json":"https://pith.science/api/pith-number/XYFBUF6PQCCXRNNY7TNJNGM56L/graph.json","events_json":"https://pith.science/api/pith-number/XYFBUF6PQCCXRNNY7TNJNGM56L/events.json","paper":"https://pith.science/paper/XYFBUF6P"},"agent_actions":{"view_html":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L","download_json":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L.json","view_paper":"https://pith.science/paper/XYFBUF6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.05843&json=true","fetch_graph":"https://pith.science/api/pith-number/XYFBUF6PQCCXRNNY7TNJNGM56L/graph.json","fetch_events":"https://pith.science/api/pith-number/XYFBUF6PQCCXRNNY7TNJNGM56L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L/action/storage_attestation","attest_author":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L/action/author_attestation","sign_citation":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L/action/citation_signature","submit_replication":"https://pith.science/pith/XYFBUF6PQCCXRNNY7TNJNGM56L/action/replication_record"}},"created_at":"2026-05-18T00:51:02.799768+00:00","updated_at":"2026-05-18T00:51:02.799768+00:00"}