{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CYIOBWXKK4RAGQW3N2UFGBDBUE","short_pith_number":"pith:CYIOBWXK","canonical_record":{"source":{"id":"1601.04130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-16T06:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"e298050b12e914e6f0a599dd30d91feca7278ee73b867863ffaa277a4f3b6ae2","abstract_canon_sha256":"a809b3d71d88add3356c59749777b5b50b46f9af610983a464aca10a3949aaed"},"schema_version":"1.0"},"canonical_sha256":"1610e0daea57220342db6ea8530461a12d5509b1fe17db31b9ff4f1f323bf2b2","source":{"kind":"arxiv","id":"1601.04130","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04130","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04130v2","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04130","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"CYIOBWXKK4RA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CYIOBWXKK4RAGQW3","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CYIOBWXK","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CYIOBWXKK4RAGQW3N2UFGBDBUE","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-16T06:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"e298050b12e914e6f0a599dd30d91feca7278ee73b867863ffaa277a4f3b6ae2","abstract_canon_sha256":"a809b3d71d88add3356c59749777b5b50b46f9af610983a464aca10a3949aaed"},"schema_version":"1.0"},"canonical_sha256":"1610e0daea57220342db6ea8530461a12d5509b1fe17db31b9ff4f1f323bf2b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:14.743759Z","signature_b64":"xUTkKwvF0RM6afi0ssAZi70r9s59s5Lj/ZhaE+AQrdq6/JcxLkYO7BuqOiLKjSdUQiR1xZYELnnSo76PulAhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1610e0daea57220342db6ea8530461a12d5509b1fe17db31b9ff4f1f323bf2b2","last_reissued_at":"2026-05-18T01:16:14.743051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:14.743051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04130","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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXeiHoC9ppzRxanopHyKmBIOzH61CGhithzhDP+Bc5qLuoOPeVJW/wPmKG2Co1MRaCxb7OWbfvaJt707YMSHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:34:38.360446Z"},"content_sha256":"54d058f20b8339b154331b2f3ba06208e15a43d2a83c176c9025b36e768bcff5","schema_version":"1.0","event_id":"sha256:54d058f20b8339b154331b2f3ba06208e15a43d2a83c176c9025b36e768bcff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CYIOBWXKK4RAGQW3N2UFGBDBUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some inequalities for submanifolds of Bochner Kaehler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehraj Ahmad Lone, Mohammad Hasan Shahid, Mohammad Jamali","submitted_at":"2016-01-16T06:24:31Z","abstract_excerpt":"B. Y. Chen established sharp inequalities between certain Riemannian invariants and the squared mean curvature for submanifolds in real space form as well as in complex space form. In this paper we generalize Chen inequalities for submanifolds of Bochner Kaehler manifolds. Moreover, we consider CR-warped product submanifolds of Bochner Kaehler manifold and establish an inequality for scalar curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04130","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":"2026-05-18T01:16:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Wx+wSxMMsMtGrWzGCfhHkn75Sqy7BSPWaU8CyMxJHk8P9Qwa1FpX8i6zhsnUQ3GDjCslT5qPpjsS10aiaGDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:34:38.360789Z"},"content_sha256":"54b03aba5522e2e7e379e245d1d39e1e7b1a3405f86d5adc35c2a27b27945608","schema_version":"1.0","event_id":"sha256:54b03aba5522e2e7e379e245d1d39e1e7b1a3405f86d5adc35c2a27b27945608"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/bundle.json","state_url":"https://pith.science/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/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":"2026-06-01T03:34:38Z","links":{"resolver":"https://pith.science/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE","bundle":"https://pith.science/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/bundle.json","state":"https://pith.science/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYIOBWXKK4RAGQW3N2UFGBDBUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CYIOBWXKK4RAGQW3N2UFGBDBUE","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":"a809b3d71d88add3356c59749777b5b50b46f9af610983a464aca10a3949aaed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-16T06:24:31Z","title_canon_sha256":"e298050b12e914e6f0a599dd30d91feca7278ee73b867863ffaa277a4f3b6ae2"},"schema_version":"1.0","source":{"id":"1601.04130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04130","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04130v2","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04130","created_at":"2026-05-18T01:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"CYIOBWXKK4RA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CYIOBWXKK4RAGQW3","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CYIOBWXK","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:54b03aba5522e2e7e379e245d1d39e1e7b1a3405f86d5adc35c2a27b27945608","target":"graph","created_at":"2026-05-18T01:16:14Z","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. Y. Chen established sharp inequalities between certain Riemannian invariants and the squared mean curvature for submanifolds in real space form as well as in complex space form. In this paper we generalize Chen inequalities for submanifolds of Bochner Kaehler manifolds. Moreover, we consider CR-warped product submanifolds of Bochner Kaehler manifold and establish an inequality for scalar curvature.","authors_text":"Mehraj Ahmad Lone, Mohammad Hasan Shahid, Mohammad Jamali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-16T06:24:31Z","title":"On some inequalities for submanifolds of Bochner Kaehler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04130","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":"sha256:54d058f20b8339b154331b2f3ba06208e15a43d2a83c176c9025b36e768bcff5","target":"record","created_at":"2026-05-18T01:16:14Z","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":"a809b3d71d88add3356c59749777b5b50b46f9af610983a464aca10a3949aaed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-16T06:24:31Z","title_canon_sha256":"e298050b12e914e6f0a599dd30d91feca7278ee73b867863ffaa277a4f3b6ae2"},"schema_version":"1.0","source":{"id":"1601.04130","kind":"arxiv","version":2}},"canonical_sha256":"1610e0daea57220342db6ea8530461a12d5509b1fe17db31b9ff4f1f323bf2b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1610e0daea57220342db6ea8530461a12d5509b1fe17db31b9ff4f1f323bf2b2","first_computed_at":"2026-05-18T01:16:14.743051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:14.743051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xUTkKwvF0RM6afi0ssAZi70r9s59s5Lj/ZhaE+AQrdq6/JcxLkYO7BuqOiLKjSdUQiR1xZYELnnSo76PulAhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:14.743759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54d058f20b8339b154331b2f3ba06208e15a43d2a83c176c9025b36e768bcff5","sha256:54b03aba5522e2e7e379e245d1d39e1e7b1a3405f86d5adc35c2a27b27945608"],"state_sha256":"9ab44419126b875188c3cdde1157e2a7499ab8c0670f2efa6a0c51434bae4f14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CS1SmcGlte93WN+6lreL+EnTh4AoPfMom5HMSwlP3PnMwaiQc22+6cMvSeWoDg7LLGFLf/GrsyrubqofKZjtDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:34:38.362716Z","bundle_sha256":"2fff94ee5f1274912fb3ce5214c34d62b896ca59614cf347707b0bf09b8d91cf"}}