{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NBU2E76BENUKZHSRFSIILVM6FS","short_pith_number":"pith:NBU2E76B","schema_version":"1.0","canonical_sha256":"6869a27fc12368ac9e512c9085d59e2c87c3b5a5ca4da09c5dd17fa761c8ddc3","source":{"kind":"arxiv","id":"1203.4778","version":2},"attestation_state":"computed","paper":{"title":"Sewing cells in almost cosymplectic and almost Kenmotsu geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Piotr Dacko","submitted_at":"2012-03-21T16:30:59Z","abstract_excerpt":"For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form $\\eta$ is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells. Obtained manifold share many properties of cells. One of the more important are nullity conditions. If cells satisfy nullity conditions - then - in the case of almost cosymplectic or almost $\\alpha$-Kenmotsu manifolds - \"sewed cells\" also satisfies nullity condition - but generally with different constants. It is important that even in the case of the generalized "},"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":"1203.4778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-21T16:30:59Z","cross_cats_sorted":[],"title_canon_sha256":"ec5b23e04c23046c704a247c85177e3563268f64d2e0bd7cc1f45c13146aa7cb","abstract_canon_sha256":"013af18c81ce2c4f249d27400861b1c6f0640acc3abd368e9fe5d2c03b4ddd8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:01.117873Z","signature_b64":"TrJOFZFTYiexzlZYCzWkUSRmkUQS89rxEKlB7P0Qz3ozmVbKAHqlC0wb7+H8P8idux31yd7U70z+lC8eORw7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6869a27fc12368ac9e512c9085d59e2c87c3b5a5ca4da09c5dd17fa761c8ddc3","last_reissued_at":"2026-05-18T03:59:01.117083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:01.117083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sewing cells in almost cosymplectic and almost Kenmotsu geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Piotr Dacko","submitted_at":"2012-03-21T16:30:59Z","abstract_excerpt":"For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form $\\eta$ is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells. Obtained manifold share many properties of cells. One of the more important are nullity conditions. If cells satisfy nullity conditions - then - in the case of almost cosymplectic or almost $\\alpha$-Kenmotsu manifolds - \"sewed cells\" also satisfies nullity condition - but generally with different constants. It is important that even in the case of the generalized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4778","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":"1203.4778","created_at":"2026-05-18T03:59:01.117210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.4778v2","created_at":"2026-05-18T03:59:01.117210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4778","created_at":"2026-05-18T03:59:01.117210+00:00"},{"alias_kind":"pith_short_12","alias_value":"NBU2E76BENUK","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NBU2E76BENUKZHSR","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NBU2E76B","created_at":"2026-05-18T12:27:16.716162+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/NBU2E76BENUKZHSRFSIILVM6FS","json":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS.json","graph_json":"https://pith.science/api/pith-number/NBU2E76BENUKZHSRFSIILVM6FS/graph.json","events_json":"https://pith.science/api/pith-number/NBU2E76BENUKZHSRFSIILVM6FS/events.json","paper":"https://pith.science/paper/NBU2E76B"},"agent_actions":{"view_html":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS","download_json":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS.json","view_paper":"https://pith.science/paper/NBU2E76B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.4778&json=true","fetch_graph":"https://pith.science/api/pith-number/NBU2E76BENUKZHSRFSIILVM6FS/graph.json","fetch_events":"https://pith.science/api/pith-number/NBU2E76BENUKZHSRFSIILVM6FS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS/action/storage_attestation","attest_author":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS/action/author_attestation","sign_citation":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS/action/citation_signature","submit_replication":"https://pith.science/pith/NBU2E76BENUKZHSRFSIILVM6FS/action/replication_record"}},"created_at":"2026-05-18T03:59:01.117210+00:00","updated_at":"2026-05-18T03:59:01.117210+00:00"}