{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JW7XBMURAWRPTNYQZSNUSBP53G","short_pith_number":"pith:JW7XBMUR","canonical_record":{"source":{"id":"1507.04473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-16T07:41:06Z","cross_cats_sorted":[],"title_canon_sha256":"61ce82b7e7b299bf55ca6216303ab1c02f1c6d9244d69ac9b17cc90a7203e02c","abstract_canon_sha256":"7d84a32cb49c58edf255a9502521550d5a6b61c90a6faca7f58f2b5548158ab9"},"schema_version":"1.0"},"canonical_sha256":"4dbf70b29105a2f9b710cc9b4905fdd99ece51a69b2bc4aa8e697089161e3a77","source":{"kind":"arxiv","id":"1507.04473","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04473","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04473v1","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04473","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"JW7XBMURAWRP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JW7XBMURAWRPTNYQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JW7XBMUR","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JW7XBMURAWRPTNYQZSNUSBP53G","target":"record","payload":{"canonical_record":{"source":{"id":"1507.04473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-16T07:41:06Z","cross_cats_sorted":[],"title_canon_sha256":"61ce82b7e7b299bf55ca6216303ab1c02f1c6d9244d69ac9b17cc90a7203e02c","abstract_canon_sha256":"7d84a32cb49c58edf255a9502521550d5a6b61c90a6faca7f58f2b5548158ab9"},"schema_version":"1.0"},"canonical_sha256":"4dbf70b29105a2f9b710cc9b4905fdd99ece51a69b2bc4aa8e697089161e3a77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:47.259498Z","signature_b64":"OD27fuxWo7AQ1q7fgnMyA0i/CcHp52NkfhakM6tUYJa9h0EDYaxFxE6T460EKFt7UpQtI/NsNsUcx+G0L0r/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dbf70b29105a2f9b710cc9b4905fdd99ece51a69b2bc4aa8e697089161e3a77","last_reissued_at":"2026-05-18T01:36:47.258959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:47.258959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.04473","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wb9HjlDnCtYyi+L3zK6gEkwXkmqPHT0IZ9sWijpFjbSjOMw8TOwdADw1Migjki4hErK561EpFr/FzOEs76rjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:41:23.496274Z"},"content_sha256":"91608a4a533e95cfa09f5b9c643859b4a8b5e55d068b2f89672a79285991b705","schema_version":"1.0","event_id":"sha256:91608a4a533e95cfa09f5b9c643859b4a8b5e55d068b2f89672a79285991b705"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JW7XBMURAWRPTNYQZSNUSBP53G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"H-anti-invariant submersions from almost quaternionic Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Kwang-Soon Park","submitted_at":"2015-07-16T07:41:06Z","abstract_excerpt":"As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples of such maps. Finally, we obtain some types of decomposition theorems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04473","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y+GOZgSYf3EcFqEsM2tWcJfSK8Pu8tvNBjulu05ZgO5wZTe9s2xidJVTqkUylg0HThVtR38gSI80ofNczvZdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:41:23.497101Z"},"content_sha256":"35a64a7d9c19f94e568458c435c777bb6314f836c7041728de85fdece5ef3b81","schema_version":"1.0","event_id":"sha256:35a64a7d9c19f94e568458c435c777bb6314f836c7041728de85fdece5ef3b81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JW7XBMURAWRPTNYQZSNUSBP53G/bundle.json","state_url":"https://pith.science/pith/JW7XBMURAWRPTNYQZSNUSBP53G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JW7XBMURAWRPTNYQZSNUSBP53G/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":"2026-06-10T17:41:23Z","links":{"resolver":"https://pith.science/pith/JW7XBMURAWRPTNYQZSNUSBP53G","bundle":"https://pith.science/pith/JW7XBMURAWRPTNYQZSNUSBP53G/bundle.json","state":"https://pith.science/pith/JW7XBMURAWRPTNYQZSNUSBP53G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JW7XBMURAWRPTNYQZSNUSBP53G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JW7XBMURAWRPTNYQZSNUSBP53G","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":"7d84a32cb49c58edf255a9502521550d5a6b61c90a6faca7f58f2b5548158ab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-16T07:41:06Z","title_canon_sha256":"61ce82b7e7b299bf55ca6216303ab1c02f1c6d9244d69ac9b17cc90a7203e02c"},"schema_version":"1.0","source":{"id":"1507.04473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04473","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04473v1","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04473","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"JW7XBMURAWRP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JW7XBMURAWRPTNYQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JW7XBMUR","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:35a64a7d9c19f94e568458c435c777bb6314f836c7041728de85fdece5ef3b81","target":"graph","created_at":"2026-05-18T01:36:47Z","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":"As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples of such maps. Finally, we obtain some types of decomposition theorems.","authors_text":"Kwang-Soon Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-16T07:41:06Z","title":"H-anti-invariant submersions from almost quaternionic Hermitian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04473","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":"sha256:91608a4a533e95cfa09f5b9c643859b4a8b5e55d068b2f89672a79285991b705","target":"record","created_at":"2026-05-18T01:36:47Z","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":"7d84a32cb49c58edf255a9502521550d5a6b61c90a6faca7f58f2b5548158ab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-07-16T07:41:06Z","title_canon_sha256":"61ce82b7e7b299bf55ca6216303ab1c02f1c6d9244d69ac9b17cc90a7203e02c"},"schema_version":"1.0","source":{"id":"1507.04473","kind":"arxiv","version":1}},"canonical_sha256":"4dbf70b29105a2f9b710cc9b4905fdd99ece51a69b2bc4aa8e697089161e3a77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dbf70b29105a2f9b710cc9b4905fdd99ece51a69b2bc4aa8e697089161e3a77","first_computed_at":"2026-05-18T01:36:47.258959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:47.258959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OD27fuxWo7AQ1q7fgnMyA0i/CcHp52NkfhakM6tUYJa9h0EDYaxFxE6T460EKFt7UpQtI/NsNsUcx+G0L0r/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:47.259498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91608a4a533e95cfa09f5b9c643859b4a8b5e55d068b2f89672a79285991b705","sha256:35a64a7d9c19f94e568458c435c777bb6314f836c7041728de85fdece5ef3b81"],"state_sha256":"361e152349ab82b4323a6cfeb41bbf05db74fc0fc1b300b8b5d93095ca37e151"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKgDiNduph8u8I9Q+iXaENKgbY6rQVqCdUn66crro83vA8lRZLo2TnuD1dBHj/eipTpHKgi84eDHIUyPRhmEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T17:41:23.501478Z","bundle_sha256":"2c0732683266cecdc9c6c86c55ba90baf36d17ab969af6c927e48e8d31e0f788"}}