{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4FP7JBBM2YJ47IJ7SFPQIOV5DI","short_pith_number":"pith:4FP7JBBM","canonical_record":{"source":{"id":"1106.5431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-27T16:23:01Z","cross_cats_sorted":[],"title_canon_sha256":"b28643aa39278d4ace8afb309382c3838e2f9924f47df91a7d221205014f85f7","abstract_canon_sha256":"753d5e39ea5422ac961a082dd48576d60c6558df79c31dab4e3ce87f44f731ad"},"schema_version":"1.0"},"canonical_sha256":"e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369","source":{"kind":"arxiv","id":"1106.5431","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5431","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5431v1","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5431","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"4FP7JBBM2YJ4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FP7JBBM2YJ47IJ7","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FP7JBBM","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4FP7JBBM2YJ47IJ7SFPQIOV5DI","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-27T16:23:01Z","cross_cats_sorted":[],"title_canon_sha256":"b28643aa39278d4ace8afb309382c3838e2f9924f47df91a7d221205014f85f7","abstract_canon_sha256":"753d5e39ea5422ac961a082dd48576d60c6558df79c31dab4e3ce87f44f731ad"},"schema_version":"1.0"},"canonical_sha256":"e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:13.647758Z","signature_b64":"pQA/yHJIylfcqrcNmlbCCK9AnFL+mDopfhIL1O4c84rASKsIOALxomi0F6iD7YaoE6VVv5s8b8qD5XzyH1gfAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369","last_reissued_at":"2026-05-18T04:19:13.647341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:13.647341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5431","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":"2026-05-18T04:19:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ap1KH/dPmN0pr+fkQhaQrsRY9Ku8C5LYpkecDTtk7OuyO4U+aNaPOVgG/JrYYaLpYkTcLOUVKSLkYB2df7xGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:41:16.912885Z"},"content_sha256":"3eb1b448df988508364d7af638d719505e35e2c9e1005eda474aa99056833459","schema_version":"1.0","event_id":"sha256:3eb1b448df988508364d7af638d719505e35e2c9e1005eda474aa99056833459"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4FP7JBBM2YJ47IJ7SFPQIOV5DI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twistor Theory for co-CR quaternionic manifolds and related structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Radu Pantilie, Stefano Marchiafava","submitted_at":"2011-06-27T16:23:01Z","abstract_excerpt":"In a general and non metrical framework, we introduce the class of co-CR quaternionic manifolds, which contains the class of quaternionic manifolds, whilst in dimension three it particularizes to give the Einstein-Weyl spaces. We show that these manifolds have a rich natural Twistor Theory and, along the way, we obtain a heaven space construction for quaternionic-Kaehler manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5431","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":"2026-05-18T04:19:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YR/Q9zDp1kzgDLS5k7yQgrxJ3LgEec9UkQViBBsEIipokV00fmxjv7Qk2NJwr++RmDqW/REo/qpWHWJH1HkgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:41:16.913212Z"},"content_sha256":"a0eb344b1c03bfbe0128e1182101d0028fc251bf27303054d7f2dc85766c7a28","schema_version":"1.0","event_id":"sha256:a0eb344b1c03bfbe0128e1182101d0028fc251bf27303054d7f2dc85766c7a28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/bundle.json","state_url":"https://pith.science/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/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":"2026-06-25T23:41:16Z","links":{"resolver":"https://pith.science/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI","bundle":"https://pith.science/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/bundle.json","state":"https://pith.science/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FP7JBBM2YJ47IJ7SFPQIOV5DI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4FP7JBBM2YJ47IJ7SFPQIOV5DI","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":"753d5e39ea5422ac961a082dd48576d60c6558df79c31dab4e3ce87f44f731ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-27T16:23:01Z","title_canon_sha256":"b28643aa39278d4ace8afb309382c3838e2f9924f47df91a7d221205014f85f7"},"schema_version":"1.0","source":{"id":"1106.5431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5431","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5431v1","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5431","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"4FP7JBBM2YJ4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FP7JBBM2YJ47IJ7","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FP7JBBM","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:a0eb344b1c03bfbe0128e1182101d0028fc251bf27303054d7f2dc85766c7a28","target":"graph","created_at":"2026-05-18T04:19:13Z","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":"In a general and non metrical framework, we introduce the class of co-CR quaternionic manifolds, which contains the class of quaternionic manifolds, whilst in dimension three it particularizes to give the Einstein-Weyl spaces. We show that these manifolds have a rich natural Twistor Theory and, along the way, we obtain a heaven space construction for quaternionic-Kaehler manifolds.","authors_text":"Radu Pantilie, Stefano Marchiafava","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-27T16:23:01Z","title":"Twistor Theory for co-CR quaternionic manifolds and related structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5431","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":"sha256:3eb1b448df988508364d7af638d719505e35e2c9e1005eda474aa99056833459","target":"record","created_at":"2026-05-18T04:19:13Z","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":"753d5e39ea5422ac961a082dd48576d60c6558df79c31dab4e3ce87f44f731ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-27T16:23:01Z","title_canon_sha256":"b28643aa39278d4ace8afb309382c3838e2f9924f47df91a7d221205014f85f7"},"schema_version":"1.0","source":{"id":"1106.5431","kind":"arxiv","version":1}},"canonical_sha256":"e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369","first_computed_at":"2026-05-18T04:19:13.647341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:13.647341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pQA/yHJIylfcqrcNmlbCCK9AnFL+mDopfhIL1O4c84rASKsIOALxomi0F6iD7YaoE6VVv5s8b8qD5XzyH1gfAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:13.647758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eb1b448df988508364d7af638d719505e35e2c9e1005eda474aa99056833459","sha256:a0eb344b1c03bfbe0128e1182101d0028fc251bf27303054d7f2dc85766c7a28"],"state_sha256":"f94bad07ff1b10eecaccee177e9e046ccd0ffbd25968a6f7a7cd56d89746ddc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"THTS/be8svgbjVGjmmUAStV911HXY4n5ED4vvgdJS0yTePPIbmf6x5PkeQY38a3HMsibLHxc0KV+bYcmhv6SAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:41:16.915056Z","bundle_sha256":"2936b32b020a5172e57b4263c4cd1a22a9cb28e8fb0915c17c0608342decc5ab"}}