{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7KA4O3MPJW34V2MOHJWWR2XYNL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8be1b591aee0b9ecd4157bcb17dbeece4a1e83b817dbe5b5c9079133574a3c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-07-03T15:02:42Z","title_canon_sha256":"1b5039ec83e1a024e3068c14656ea166cfd1d6bcd943bcdc9cb65190c58e0c4e"},"schema_version":"1.0","source":{"id":"1907.01977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01977","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01977v1","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01977","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"7KA4O3MPJW34","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7KA4O3MPJW34V2MO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7KA4O3MP","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:7db8e4c9073623c4fcfaea82d045f9552acc1ed593271892195e257729fe13fa","target":"graph","created_at":"2026-05-17T23:41:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"B. Sahin [9] introduced the notion of anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. In the present paper we extend the notion of anti-invariant and Lagrangian Riemannian submersions (a special anti-invariant Riemannian submersion) to the case of locally conformal Kaehler manifolds. We discuss the geometry of foliation and obtain some decomposition theorems for the total manifold of such submersions.","authors_text":"Majid Ali Choudhary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-07-03T15:02:42Z","title":"Anti-invariant Riemannian submersions from locally conformal Kaehler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01977","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cc4ceef29d2d4c19e28d592432e86b6460c1689a3002cdab66edfb55420530a0","target":"record","created_at":"2026-05-17T23:41:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8be1b591aee0b9ecd4157bcb17dbeece4a1e83b817dbe5b5c9079133574a3c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-07-03T15:02:42Z","title_canon_sha256":"1b5039ec83e1a024e3068c14656ea166cfd1d6bcd943bcdc9cb65190c58e0c4e"},"schema_version":"1.0","source":{"id":"1907.01977","kind":"arxiv","version":1}},"canonical_sha256":"fa81c76d8f4db7cae98e3a6d68eaf86aedbd083aa5c61b9d63b8e61f77da1da4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa81c76d8f4db7cae98e3a6d68eaf86aedbd083aa5c61b9d63b8e61f77da1da4","first_computed_at":"2026-05-17T23:41:34.347904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:34.347904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"euTNldkha4jk8jvLwCB1XkTmJ+PlX9m1bnFkeLld2ARIaq/nJ8Xa77pUy33ubfBPknpMSEydDZiJuZIwLidFBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:34.348563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.01977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc4ceef29d2d4c19e28d592432e86b6460c1689a3002cdab66edfb55420530a0","sha256:7db8e4c9073623c4fcfaea82d045f9552acc1ed593271892195e257729fe13fa"],"state_sha256":"bc03b6ebfc01f07c27b4ff2b8d2c7d4b8e6a0773f398cce4f72cf0b015c0ef91"}