{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:3REI45YTQCVS5QOYRA4F62J2WI","short_pith_number":"pith:3REI45YT","canonical_record":{"source":{"id":"0812.4743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-27T13:26:38Z","cross_cats_sorted":[],"title_canon_sha256":"9d5064099ba9b8063eefba1886b57ba0e5a20ebc28235ca9197b764d6bf30c83","abstract_canon_sha256":"9e1f6cc7b863f99ce60a94cba88e79f47540b6c8e6fddd240c800091462aa261"},"schema_version":"1.0"},"canonical_sha256":"dc488e771380ab2ec1d888385f693ab231b3bf73c872fc105b0f3f2155b4b8e9","source":{"kind":"arxiv","id":"0812.4743","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4743","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4743v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4743","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"3REI45YTQCVS","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3REI45YTQCVS5QOY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3REI45YT","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:3REI45YTQCVS5QOYRA4F62J2WI","target":"record","payload":{"canonical_record":{"source":{"id":"0812.4743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-27T13:26:38Z","cross_cats_sorted":[],"title_canon_sha256":"9d5064099ba9b8063eefba1886b57ba0e5a20ebc28235ca9197b764d6bf30c83","abstract_canon_sha256":"9e1f6cc7b863f99ce60a94cba88e79f47540b6c8e6fddd240c800091462aa261"},"schema_version":"1.0"},"canonical_sha256":"dc488e771380ab2ec1d888385f693ab231b3bf73c872fc105b0f3f2155b4b8e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:23.088216Z","signature_b64":"SXbyNecPbl5j+TDXZjOPhMSqaVYV5lQUyPvFhgS/+n/2flNHHICQjyll02wc0EvP8HC3NKiXheQmapSKWyaJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc488e771380ab2ec1d888385f693ab231b3bf73c872fc105b0f3f2155b4b8e9","last_reissued_at":"2026-05-18T03:56:23.087300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:23.087300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.4743","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":"2026-05-18T03:56:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NNomeIooEVVit7/dcF6cNgf9sYGgRin7EY+nrNEB4nLdmdbNLoImN4RUqgGoAMkrySBQqSadoFR2RlZM731YDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:52:33.400703Z"},"content_sha256":"aaed7953cfb0db2190e28d0c9d4f6ecc0af0e2f28dded872df076cffd0b1423f","schema_version":"1.0","event_id":"sha256:aaed7953cfb0db2190e28d0c9d4f6ecc0af0e2f28dded872df076cffd0b1423f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:3REI45YTQCVS5QOYRA4F62J2WI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mancho Manev, Marta Teofilova","submitted_at":"2008-12-27T13:26:38Z","abstract_excerpt":"A type of almost contact hypersurfaces with Norden metric of a Kaehler manifold with Norden metric is considered. The curvature tensor and the special sectional curvatures are characterized. The canonical connection on such manifolds is studied and the form of the corresponding Kaehler curvature tensor is obtained. Some curvature properties of the manifolds belonging to the widest integrable main class of the considered type of hypersurfaces are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4743","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":"2026-05-18T03:56:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1JHB0Neb5Jcqt+sLWyEEKMKns21u1ZmqvKKW13l5t/NiVwb8/ZOr2T9HTpv8MtbI+4b1eJBMfm4lBUORZHhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:52:33.401035Z"},"content_sha256":"a9d8402b982c58912297a72440deffc204be8fb52224aeb1091053527eb3b2ee","schema_version":"1.0","event_id":"sha256:a9d8402b982c58912297a72440deffc204be8fb52224aeb1091053527eb3b2ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3REI45YTQCVS5QOYRA4F62J2WI/bundle.json","state_url":"https://pith.science/pith/3REI45YTQCVS5QOYRA4F62J2WI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3REI45YTQCVS5QOYRA4F62J2WI/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":"2026-07-04T15:52:33Z","links":{"resolver":"https://pith.science/pith/3REI45YTQCVS5QOYRA4F62J2WI","bundle":"https://pith.science/pith/3REI45YTQCVS5QOYRA4F62J2WI/bundle.json","state":"https://pith.science/pith/3REI45YTQCVS5QOYRA4F62J2WI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3REI45YTQCVS5QOYRA4F62J2WI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3REI45YTQCVS5QOYRA4F62J2WI","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":"9e1f6cc7b863f99ce60a94cba88e79f47540b6c8e6fddd240c800091462aa261","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-27T13:26:38Z","title_canon_sha256":"9d5064099ba9b8063eefba1886b57ba0e5a20ebc28235ca9197b764d6bf30c83"},"schema_version":"1.0","source":{"id":"0812.4743","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4743","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4743v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4743","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"3REI45YTQCVS","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3REI45YTQCVS5QOY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3REI45YT","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:a9d8402b982c58912297a72440deffc204be8fb52224aeb1091053527eb3b2ee","target":"graph","created_at":"2026-05-18T03:56:23Z","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":"A type of almost contact hypersurfaces with Norden metric of a Kaehler manifold with Norden metric is considered. The curvature tensor and the special sectional curvatures are characterized. The canonical connection on such manifolds is studied and the form of the corresponding Kaehler curvature tensor is obtained. Some curvature properties of the manifolds belonging to the widest integrable main class of the considered type of hypersurfaces are given.","authors_text":"Mancho Manev, Marta Teofilova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-27T13:26:38Z","title":"On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4743","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:aaed7953cfb0db2190e28d0c9d4f6ecc0af0e2f28dded872df076cffd0b1423f","target":"record","created_at":"2026-05-18T03:56:23Z","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":"9e1f6cc7b863f99ce60a94cba88e79f47540b6c8e6fddd240c800091462aa261","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-27T13:26:38Z","title_canon_sha256":"9d5064099ba9b8063eefba1886b57ba0e5a20ebc28235ca9197b764d6bf30c83"},"schema_version":"1.0","source":{"id":"0812.4743","kind":"arxiv","version":1}},"canonical_sha256":"dc488e771380ab2ec1d888385f693ab231b3bf73c872fc105b0f3f2155b4b8e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc488e771380ab2ec1d888385f693ab231b3bf73c872fc105b0f3f2155b4b8e9","first_computed_at":"2026-05-18T03:56:23.087300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:23.087300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SXbyNecPbl5j+TDXZjOPhMSqaVYV5lQUyPvFhgS/+n/2flNHHICQjyll02wc0EvP8HC3NKiXheQmapSKWyaJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:23.088216Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.4743","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaed7953cfb0db2190e28d0c9d4f6ecc0af0e2f28dded872df076cffd0b1423f","sha256:a9d8402b982c58912297a72440deffc204be8fb52224aeb1091053527eb3b2ee"],"state_sha256":"f5c93420cb82631ad51d5df6457862bfdb2159019c8c26d0b2d837e487165858"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kG/ffRnE6KkpNtP9KT+Oo/ZclSw6OTdmanE39G5RJ4ts/2fYTjfAORxvHnD/jrbJh+6ky3VUa6Ws2UlyF03UBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T15:52:33.402881Z","bundle_sha256":"91f9210b7df95b919e044438c1b70f7e4a97fb9d958e46e727542b3f825a0d4c"}}