{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AEFIKLD6GSVYDNTO2HYIPQGPS3","short_pith_number":"pith:AEFIKLD6","canonical_record":{"source":{"id":"1305.4882","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-21T16:59:37Z","cross_cats_sorted":[],"title_canon_sha256":"e6612689181253b937cd8312dfeed130286c1eda34f0cfc3cba51e5b4e47bc8a","abstract_canon_sha256":"de1510ac204af1dbe4638e703d7b57dbd48ac5de9e22384e4e28b97715ee6101"},"schema_version":"1.0"},"canonical_sha256":"010a852c7e34ab81b66ed1f087c0cf96c0808d98cc2c786ba450c90351242047","source":{"kind":"arxiv","id":"1305.4882","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4882","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4882v2","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4882","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"pith_short_12","alias_value":"AEFIKLD6GSVY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AEFIKLD6GSVYDNTO","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AEFIKLD6","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AEFIKLD6GSVYDNTO2HYIPQGPS3","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4882","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-21T16:59:37Z","cross_cats_sorted":[],"title_canon_sha256":"e6612689181253b937cd8312dfeed130286c1eda34f0cfc3cba51e5b4e47bc8a","abstract_canon_sha256":"de1510ac204af1dbe4638e703d7b57dbd48ac5de9e22384e4e28b97715ee6101"},"schema_version":"1.0"},"canonical_sha256":"010a852c7e34ab81b66ed1f087c0cf96c0808d98cc2c786ba450c90351242047","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:54.348028Z","signature_b64":"Ox50gq+WQkT2guyLlFxcBS5Ng1a2x4xLchFyskZzl3h8EPZFufpiGgrRAchff/KPnuyXqOY7h7SXBcMjfvQgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"010a852c7e34ab81b66ed1f087c0cf96c0808d98cc2c786ba450c90351242047","last_reissued_at":"2026-05-18T02:43:54.347616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:54.347616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4882","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":"2026-05-18T02:43:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VY/r18DHumyuMNkdeL0JEsVLHeVQk3m64rNgnnjuNhgPVFVJJBT8EiTLnp65towW+JgIt2VyAw5mumG8GWbuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:27:40.212604Z"},"content_sha256":"a539508c24a6fbf7a87aab3d50d2d263a40f008d390b525dc269630b9fe1f4b7","schema_version":"1.0","event_id":"sha256:a539508c24a6fbf7a87aab3d50d2d263a40f008d390b525dc269630b9fe1f4b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AEFIKLD6GSVYDNTO2HYIPQGPS3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normality of the twistor space of a $5$-manifold with a $SO(3)$-structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Johann Davidov","submitted_at":"2013-05-21T16:59:37Z","abstract_excerpt":"A manifold with an irreducible $SO(3)$-structure is a $5$-manifold $M$ whose structure group can be reduced to the group $SO(3)$, non-standardly imbedded in $SO(5)$. The study of such manifolds has been initiated by M. Bobie\\'nski and P. Nurowski who, in particular, have shown that one can define four $CR$-structures on a twistor-like $7$-dimensional space associated to $M$. In the present paper it is observed that these $CR$-structures are induced by almost contact metric structures. The purpose of the paper is to study the problem of normality of these structures. The main result gives neces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4882","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":"2026-05-18T02:43:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bSHiHlMSbm21Q4xEKjWjlPhXVQ6wovsK/1lHG4ynAq22MDedXAxlR7MjvcsJLwXahjH7D4Vwzg62SJRyQKQ3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:27:40.212945Z"},"content_sha256":"301fc777c8d7a12083b28567793ae00fb117a3a112e41b7b1558946a5f814e53","schema_version":"1.0","event_id":"sha256:301fc777c8d7a12083b28567793ae00fb117a3a112e41b7b1558946a5f814e53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/bundle.json","state_url":"https://pith.science/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/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":"2026-06-25T08:27:40Z","links":{"resolver":"https://pith.science/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3","bundle":"https://pith.science/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/bundle.json","state":"https://pith.science/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AEFIKLD6GSVYDNTO2HYIPQGPS3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AEFIKLD6GSVYDNTO2HYIPQGPS3","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":"de1510ac204af1dbe4638e703d7b57dbd48ac5de9e22384e4e28b97715ee6101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-21T16:59:37Z","title_canon_sha256":"e6612689181253b937cd8312dfeed130286c1eda34f0cfc3cba51e5b4e47bc8a"},"schema_version":"1.0","source":{"id":"1305.4882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4882","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4882v2","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4882","created_at":"2026-05-18T02:43:54Z"},{"alias_kind":"pith_short_12","alias_value":"AEFIKLD6GSVY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AEFIKLD6GSVYDNTO","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AEFIKLD6","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:301fc777c8d7a12083b28567793ae00fb117a3a112e41b7b1558946a5f814e53","target":"graph","created_at":"2026-05-18T02:43:54Z","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 manifold with an irreducible $SO(3)$-structure is a $5$-manifold $M$ whose structure group can be reduced to the group $SO(3)$, non-standardly imbedded in $SO(5)$. The study of such manifolds has been initiated by M. Bobie\\'nski and P. Nurowski who, in particular, have shown that one can define four $CR$-structures on a twistor-like $7$-dimensional space associated to $M$. In the present paper it is observed that these $CR$-structures are induced by almost contact metric structures. The purpose of the paper is to study the problem of normality of these structures. The main result gives neces","authors_text":"Johann Davidov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-21T16:59:37Z","title":"Normality of the twistor space of a $5$-manifold with a $SO(3)$-structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4882","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:a539508c24a6fbf7a87aab3d50d2d263a40f008d390b525dc269630b9fe1f4b7","target":"record","created_at":"2026-05-18T02:43:54Z","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":"de1510ac204af1dbe4638e703d7b57dbd48ac5de9e22384e4e28b97715ee6101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-21T16:59:37Z","title_canon_sha256":"e6612689181253b937cd8312dfeed130286c1eda34f0cfc3cba51e5b4e47bc8a"},"schema_version":"1.0","source":{"id":"1305.4882","kind":"arxiv","version":2}},"canonical_sha256":"010a852c7e34ab81b66ed1f087c0cf96c0808d98cc2c786ba450c90351242047","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"010a852c7e34ab81b66ed1f087c0cf96c0808d98cc2c786ba450c90351242047","first_computed_at":"2026-05-18T02:43:54.347616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:54.347616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ox50gq+WQkT2guyLlFxcBS5Ng1a2x4xLchFyskZzl3h8EPZFufpiGgrRAchff/KPnuyXqOY7h7SXBcMjfvQgAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:54.348028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a539508c24a6fbf7a87aab3d50d2d263a40f008d390b525dc269630b9fe1f4b7","sha256:301fc777c8d7a12083b28567793ae00fb117a3a112e41b7b1558946a5f814e53"],"state_sha256":"5025108d16abe519d7d8bc6b6a4b8ab72c4b79e9f096c496333d7eb5640c38fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PGY5KDGI6fABPpUubEsYX+m8eOU/PGfYj6rfE7nLnriqt7Fs1+J4x++XCn37RG+rstt4M7I2HALz9wudDJlMBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:27:40.214919Z","bundle_sha256":"bc7f845df50aef77fccbbb08f8c17e25e95bb0c80139bbfd5f849744d890a54e"}}