{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UTEYE2ONYF3LJFGIRYHDST74LN","short_pith_number":"pith:UTEYE2ON","canonical_record":{"source":{"id":"1006.0076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"e94b00270f6e25443b2405afada0056ef0b95c11b51f64d90835f9edab42af19","abstract_canon_sha256":"d8d67ea4c13dcc9c42741b07eddb99c8fb5ccae5942794dc77e3ee0021124b09"},"schema_version":"1.0"},"canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","source":{"kind":"arxiv","id":"1006.0076","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0076","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0076v2","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0076","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"UTEYE2ONYF3L","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UTEYE2ONYF3LJFGI","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UTEYE2ON","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UTEYE2ONYF3LJFGIRYHDST74LN","target":"record","payload":{"canonical_record":{"source":{"id":"1006.0076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"e94b00270f6e25443b2405afada0056ef0b95c11b51f64d90835f9edab42af19","abstract_canon_sha256":"d8d67ea4c13dcc9c42741b07eddb99c8fb5ccae5942794dc77e3ee0021124b09"},"schema_version":"1.0"},"canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:22.053846Z","signature_b64":"hKmrsD8DBjJvP8gBotxAxsH6UfVDLYHE4UvPZGqit82NXUh3qfqpn/+/slYv+hQ1XUMZ/I6DFScHvjkAe+esDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","last_reissued_at":"2026-05-18T04:37:22.053459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:22.053459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.0076","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZ3ILBSWPAR7bf6nYELB2k/wYzvmfCGVxIjYl1xKPzg4zjpBZtKaC0lbcrFRtUCKqssWxa8jD0tniM3nD1bfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:48:30.463773Z"},"content_sha256":"54c5d0595d0bce595fb21fb6d69e5eb92847c5cb1aab64c2c20d915caab3cc72","schema_version":"1.0","event_id":"sha256:54c5d0595d0bce595fb21fb6d69e5eb92847c5cb1aab64c2c20d915caab3cc72"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UTEYE2ONYF3LJFGIRYHDST74LN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-invariant submersions from almost Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bayram Sahin","submitted_at":"2010-06-01T08:09:33Z","abstract_excerpt":"We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and find necessary-sufficient conditions for total manifold to be locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0076","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6x4PVculWqQbiMKUFPgmK2BOHHUwuiIpVRSzUiLYnrHlu8EHOvgy9ApgK+/ON9THrkbF6NM80vDpzAQTT3chBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:48:30.464115Z"},"content_sha256":"eeaeb97a2158f3752f93876d11ebdd3fb833b9a3771f7747577763df002821cb","schema_version":"1.0","event_id":"sha256:eeaeb97a2158f3752f93876d11ebdd3fb833b9a3771f7747577763df002821cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/bundle.json","state_url":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UTEYE2ONYF3LJFGIRYHDST74LN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T18:48:30Z","links":{"resolver":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN","bundle":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/bundle.json","state":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UTEYE2ONYF3LJFGIRYHDST74LN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UTEYE2ONYF3LJFGIRYHDST74LN","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":"d8d67ea4c13dcc9c42741b07eddb99c8fb5ccae5942794dc77e3ee0021124b09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","title_canon_sha256":"e94b00270f6e25443b2405afada0056ef0b95c11b51f64d90835f9edab42af19"},"schema_version":"1.0","source":{"id":"1006.0076","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0076","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0076v2","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0076","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"UTEYE2ONYF3L","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UTEYE2ONYF3LJFGI","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UTEYE2ON","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:eeaeb97a2158f3752f93876d11ebdd3fb833b9a3771f7747577763df002821cb","target":"graph","created_at":"2026-05-18T04:37:22Z","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":"We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and find necessary-sufficient conditions for total manifold to be locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total m","authors_text":"Bayram Sahin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","title":"Semi-invariant submersions from almost Hermitian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0076","kind":"arxiv","version":2},"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":"sha256:54c5d0595d0bce595fb21fb6d69e5eb92847c5cb1aab64c2c20d915caab3cc72","target":"record","created_at":"2026-05-18T04:37:22Z","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":"d8d67ea4c13dcc9c42741b07eddb99c8fb5ccae5942794dc77e3ee0021124b09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","title_canon_sha256":"e94b00270f6e25443b2405afada0056ef0b95c11b51f64d90835f9edab42af19"},"schema_version":"1.0","source":{"id":"1006.0076","kind":"arxiv","version":2}},"canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","first_computed_at":"2026-05-18T04:37:22.053459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:22.053459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hKmrsD8DBjJvP8gBotxAxsH6UfVDLYHE4UvPZGqit82NXUh3qfqpn/+/slYv+hQ1XUMZ/I6DFScHvjkAe+esDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:22.053846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0076","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54c5d0595d0bce595fb21fb6d69e5eb92847c5cb1aab64c2c20d915caab3cc72","sha256:eeaeb97a2158f3752f93876d11ebdd3fb833b9a3771f7747577763df002821cb"],"state_sha256":"0828a5d20dabf4d21650684e149cf3521ad5da3958e3247d76f83708024baaca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tE6qfQ1QOIIe610amYbrKQfeyO+iJNEh64AS8dAEk9tmpGngYBXlFFxddpFNKweBhQhPVcuL13prCoIEBz0aBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T18:48:30.466042Z","bundle_sha256":"2b3ce8b95e309313ec1abd576898636ecfbedc13d7358b65c7b45f5dd6811d83"}}