{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AADUIORXJQ6EGZQYYAV6NPEOCN","short_pith_number":"pith:AADUIORX","canonical_record":{"source":{"id":"1709.10002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-28T14:55:23Z","cross_cats_sorted":[],"title_canon_sha256":"9e8b044f22e4f7c7904c271556e3bbdc1499a3617ce89d90c2837dfce4ea6365","abstract_canon_sha256":"089cc42047ae01fffc676e39a2bafab04feba6a44bf0da3b0a13bf73a94d8717"},"schema_version":"1.0"},"canonical_sha256":"0007443a374c3c436618c02be6bc8e1364cb48c5a719d20166f178b2e31001cf","source":{"kind":"arxiv","id":"1709.10002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10002","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10002v1","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10002","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"AADUIORXJQ6E","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AADUIORXJQ6EGZQY","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AADUIORX","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AADUIORXJQ6EGZQYYAV6NPEOCN","target":"record","payload":{"canonical_record":{"source":{"id":"1709.10002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-28T14:55:23Z","cross_cats_sorted":[],"title_canon_sha256":"9e8b044f22e4f7c7904c271556e3bbdc1499a3617ce89d90c2837dfce4ea6365","abstract_canon_sha256":"089cc42047ae01fffc676e39a2bafab04feba6a44bf0da3b0a13bf73a94d8717"},"schema_version":"1.0"},"canonical_sha256":"0007443a374c3c436618c02be6bc8e1364cb48c5a719d20166f178b2e31001cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:05.957460Z","signature_b64":"N7GvrcSpzmMrH5JIedir9YiS9Ql6v0zdXZvrTJndgVUEM3Ql5t7JMErd5p/Hm55PRsV8VCbHhGG9EEKkRg0XCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0007443a374c3c436618c02be6bc8e1364cb48c5a719d20166f178b2e31001cf","last_reissued_at":"2026-05-18T00:34:05.956673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:05.956673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.10002","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":"2026-05-18T00:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lIAGeZpqpkwNlwCPWUG1ImRWN1tjqfuFNmM61UWd/ziiWg1paUBEsdNQnvtf88qvGcqq2eqZGtmS4IRklzMoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:48:11.297288Z"},"content_sha256":"aca3bf5ddf0656d2abed0e06295a5d70a1b40e7e8d1ad0e8483db937c3bf5326","schema_version":"1.0","event_id":"sha256:aca3bf5ddf0656d2abed0e06295a5d70a1b40e7e8d1ad0e8483db937c3bf5326"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AADUIORXJQ6EGZQYYAV6NPEOCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some Inequalities Related to Ricci Curvatures for Lagrangian Submanifolds of Kahler QCH-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dandan Cai, Liang Zhang, Xudong Liu","submitted_at":"2017-09-28T14:55:23Z","abstract_excerpt":"By establishing two general quadratic inequalities, we obtain some inequalities related to Ricci curvatures for Lagrangian submanifolds of K$\\ddot{\\mathrm{a}}$hler QCH-manifolds, which generalize some results for Lagrangian submanifolds of complex space forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10002","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":"2026-05-18T00:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/arraezV2dMmQHZNbzgevTaLyvjUCLbliOaChzmOWSdoSZK/H8mqRvL8y+BSDDP5p/th3Xff2JY9xDLGOkuRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:48:11.297697Z"},"content_sha256":"b51d00ee419c0a86bb239488e8abe553dbe6488adb4cb5c52ef509c263f2dca8","schema_version":"1.0","event_id":"sha256:b51d00ee419c0a86bb239488e8abe553dbe6488adb4cb5c52ef509c263f2dca8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/bundle.json","state_url":"https://pith.science/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/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":"2026-05-28T10:48:11Z","links":{"resolver":"https://pith.science/pith/AADUIORXJQ6EGZQYYAV6NPEOCN","bundle":"https://pith.science/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/bundle.json","state":"https://pith.science/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AADUIORXJQ6EGZQYYAV6NPEOCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AADUIORXJQ6EGZQYYAV6NPEOCN","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":"089cc42047ae01fffc676e39a2bafab04feba6a44bf0da3b0a13bf73a94d8717","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-28T14:55:23Z","title_canon_sha256":"9e8b044f22e4f7c7904c271556e3bbdc1499a3617ce89d90c2837dfce4ea6365"},"schema_version":"1.0","source":{"id":"1709.10002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10002","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10002v1","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10002","created_at":"2026-05-18T00:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"AADUIORXJQ6E","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AADUIORXJQ6EGZQY","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AADUIORX","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:b51d00ee419c0a86bb239488e8abe553dbe6488adb4cb5c52ef509c263f2dca8","target":"graph","created_at":"2026-05-18T00:34:05Z","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":"By establishing two general quadratic inequalities, we obtain some inequalities related to Ricci curvatures for Lagrangian submanifolds of K$\\ddot{\\mathrm{a}}$hler QCH-manifolds, which generalize some results for Lagrangian submanifolds of complex space forms.","authors_text":"Dandan Cai, Liang Zhang, Xudong Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-28T14:55:23Z","title":"Some Inequalities Related to Ricci Curvatures for Lagrangian Submanifolds of Kahler QCH-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10002","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:aca3bf5ddf0656d2abed0e06295a5d70a1b40e7e8d1ad0e8483db937c3bf5326","target":"record","created_at":"2026-05-18T00:34:05Z","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":"089cc42047ae01fffc676e39a2bafab04feba6a44bf0da3b0a13bf73a94d8717","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-28T14:55:23Z","title_canon_sha256":"9e8b044f22e4f7c7904c271556e3bbdc1499a3617ce89d90c2837dfce4ea6365"},"schema_version":"1.0","source":{"id":"1709.10002","kind":"arxiv","version":1}},"canonical_sha256":"0007443a374c3c436618c02be6bc8e1364cb48c5a719d20166f178b2e31001cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0007443a374c3c436618c02be6bc8e1364cb48c5a719d20166f178b2e31001cf","first_computed_at":"2026-05-18T00:34:05.956673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:05.956673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N7GvrcSpzmMrH5JIedir9YiS9Ql6v0zdXZvrTJndgVUEM3Ql5t7JMErd5p/Hm55PRsV8VCbHhGG9EEKkRg0XCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:05.957460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aca3bf5ddf0656d2abed0e06295a5d70a1b40e7e8d1ad0e8483db937c3bf5326","sha256:b51d00ee419c0a86bb239488e8abe553dbe6488adb4cb5c52ef509c263f2dca8"],"state_sha256":"e755cde6365ec07355d5483ae4fbc2808346cf5127e25682e410abea51cf0732"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lz/aHkvy6IPKt5qdoVxBMscw3l2tMPBh/flZrXcoaBhg/b8FJIioVlXo95XSY2d9kbMPb3Rb9ru9nePV1v1wDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:48:11.299666Z","bundle_sha256":"896586fabaac9e65ea8d8b8e45214c50aec7620181761fb87d18933aca5091bd"}}