{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IMW7JAP6QMWA7RHOSN3S2SKN2W","short_pith_number":"pith:IMW7JAP6","canonical_record":{"source":{"id":"1407.5542","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T16:09:35Z","cross_cats_sorted":[],"title_canon_sha256":"a7f9af28776f76a7659b9e24aa27858f7e881d326243b02f4ee0e58110110e7f","abstract_canon_sha256":"1416d96d5b710840205363b9a78da08b7d7648e30958ab607fb1f9f9b8c6e9f2"},"schema_version":"1.0"},"canonical_sha256":"432df481fe832c0fc4ee93772d494dd5a9cd122c2091f1b2dabd2a6cfc6c64fa","source":{"kind":"arxiv","id":"1407.5542","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5542","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5542v4","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5542","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"IMW7JAP6QMWA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IMW7JAP6QMWA7RHO","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IMW7JAP6","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IMW7JAP6QMWA7RHOSN3S2SKN2W","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5542","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T16:09:35Z","cross_cats_sorted":[],"title_canon_sha256":"a7f9af28776f76a7659b9e24aa27858f7e881d326243b02f4ee0e58110110e7f","abstract_canon_sha256":"1416d96d5b710840205363b9a78da08b7d7648e30958ab607fb1f9f9b8c6e9f2"},"schema_version":"1.0"},"canonical_sha256":"432df481fe832c0fc4ee93772d494dd5a9cd122c2091f1b2dabd2a6cfc6c64fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:33.705659Z","signature_b64":"M32NzMlZq8mduReivZweRZg4txeFAnZrCxNeC4Vj7xKKf0yy+c3tJMDKL6hEJOa78uBewFQafTU3CXbHwcpoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"432df481fe832c0fc4ee93772d494dd5a9cd122c2091f1b2dabd2a6cfc6c64fa","last_reissued_at":"2026-05-18T02:17:33.704948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:33.704948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5542","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fahSihbqziXtJaRNgWJ/t4czoZqm0oJXKou/GvfXH1t5YkJSIkib03MH2agD/x9Bea0rHHykvLRUn0K9OmDuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:38:58.868083Z"},"content_sha256":"974017843361c31bfdb8e29f000b50573a711acba5817b8417cde3f2d61db587","schema_version":"1.0","event_id":"sha256:974017843361c31bfdb8e29f000b50573a711acba5817b8417cde3f2d61db587"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IMW7JAP6QMWA7RHOSN3S2SKN2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cyclic homogeneous Riemannian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jos\\'e A. Oubi\\~na, Jos\\'e Carmelo Gonz\\'alez-D\\'avila, P. M. Gadea","submitted_at":"2014-07-21T16:09:35Z","abstract_excerpt":"In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of cyclic and traceless cyclic homogeneous Riemannian manifolds and we obtain the classification of simply-connected cyclic homogeneous Riemannian manifolds of dimension less than or equal to four. We also present a wide list of examples of non-compact irreducible Riemannian $3$-symmetric spaces admitting cyclic metrics and give the expression of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5542","kind":"arxiv","version":4},"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":"2026-05-18T02:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3dRFXKLamu2JcHg5Cz6s+Obq8G8B/UBjO31kaW34vwdcr4gCN3x1hTK5FNIUUyLoy/LbOpskIt4oSIHpsv7FCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:38:58.868664Z"},"content_sha256":"3e2d9c97cc85af034de4ed662e32a03c44b5acd26220f8a5d2d60873bb896f1e","schema_version":"1.0","event_id":"sha256:3e2d9c97cc85af034de4ed662e32a03c44b5acd26220f8a5d2d60873bb896f1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/bundle.json","state_url":"https://pith.science/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/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":"2026-06-07T16:38:58Z","links":{"resolver":"https://pith.science/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W","bundle":"https://pith.science/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/bundle.json","state":"https://pith.science/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMW7JAP6QMWA7RHOSN3S2SKN2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IMW7JAP6QMWA7RHOSN3S2SKN2W","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":"1416d96d5b710840205363b9a78da08b7d7648e30958ab607fb1f9f9b8c6e9f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T16:09:35Z","title_canon_sha256":"a7f9af28776f76a7659b9e24aa27858f7e881d326243b02f4ee0e58110110e7f"},"schema_version":"1.0","source":{"id":"1407.5542","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5542","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5542v4","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5542","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"IMW7JAP6QMWA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IMW7JAP6QMWA7RHO","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IMW7JAP6","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:3e2d9c97cc85af034de4ed662e32a03c44b5acd26220f8a5d2d60873bb896f1e","target":"graph","created_at":"2026-05-18T02:17:33Z","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 spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of cyclic and traceless cyclic homogeneous Riemannian manifolds and we obtain the classification of simply-connected cyclic homogeneous Riemannian manifolds of dimension less than or equal to four. We also present a wide list of examples of non-compact irreducible Riemannian $3$-symmetric spaces admitting cyclic metrics and give the expression of","authors_text":"Jos\\'e A. Oubi\\~na, Jos\\'e Carmelo Gonz\\'alez-D\\'avila, P. M. Gadea","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T16:09:35Z","title":"Cyclic homogeneous Riemannian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5542","kind":"arxiv","version":4},"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":"sha256:974017843361c31bfdb8e29f000b50573a711acba5817b8417cde3f2d61db587","target":"record","created_at":"2026-05-18T02:17:33Z","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":"1416d96d5b710840205363b9a78da08b7d7648e30958ab607fb1f9f9b8c6e9f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-21T16:09:35Z","title_canon_sha256":"a7f9af28776f76a7659b9e24aa27858f7e881d326243b02f4ee0e58110110e7f"},"schema_version":"1.0","source":{"id":"1407.5542","kind":"arxiv","version":4}},"canonical_sha256":"432df481fe832c0fc4ee93772d494dd5a9cd122c2091f1b2dabd2a6cfc6c64fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"432df481fe832c0fc4ee93772d494dd5a9cd122c2091f1b2dabd2a6cfc6c64fa","first_computed_at":"2026-05-18T02:17:33.704948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:33.704948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M32NzMlZq8mduReivZweRZg4txeFAnZrCxNeC4Vj7xKKf0yy+c3tJMDKL6hEJOa78uBewFQafTU3CXbHwcpoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:33.705659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5542","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:974017843361c31bfdb8e29f000b50573a711acba5817b8417cde3f2d61db587","sha256:3e2d9c97cc85af034de4ed662e32a03c44b5acd26220f8a5d2d60873bb896f1e"],"state_sha256":"a0b78f72b2ddacac938b1a6ec2255be6b453b013ce849cec99595025a48eec11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OLXR2dMUaug2WfUDko+SmxpMAuk5sEw6/8Kqi8IVjsqgneLAGdyDoOWsqi/RCX+LJ35PZh6zQWllQ91WkwNoCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:38:58.871785Z","bundle_sha256":"cadadbe1375797b925c93b535f561bdf40c710d8164eb7b6ab3aaa4ee236056e"}}