{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:74VE3KWWR7VHVIP3O2H7NCJYWV","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":"18ca3f8600924802530b7246f5d02eae52cf35a526909c78f6af6a2a4c5043e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-02T10:55:21Z","title_canon_sha256":"e9f95972d7561d72ce5632f3fb4700a6186434828c402daaa1c74d187b7531f5"},"schema_version":"1.0","source":{"id":"1605.00432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00432","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00432v1","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00432","created_at":"2026-05-18T01:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"74VE3KWWR7VH","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"74VE3KWWR7VHVIP3","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"74VE3KWW","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:cd6b8f519f37d454afd155d768e74bb8c64968f90e0768a7c3185bb330b2c213","target":"graph","created_at":"2026-05-18T01:15:55Z","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 new construction of naturally reductive spaces is presented. This construction gives a large amount of new families of naturally reductive spaces. First the infinitesimal models of the new naturally reductive spaces are constructed. A concrete transitive group of isometries is given for the new spaces and also the naturally reductive structure with respect to this group is explicitly given.","authors_text":"Reinier Storm","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-02T10:55:21Z","title":"A new construction of naturally reductive spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00432","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":"sha256:9146d36c45f93d1414a87f32e94e582aa2a56c750e34c0df467b55e1085e14b9","target":"record","created_at":"2026-05-18T01:15:55Z","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":"18ca3f8600924802530b7246f5d02eae52cf35a526909c78f6af6a2a4c5043e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-02T10:55:21Z","title_canon_sha256":"e9f95972d7561d72ce5632f3fb4700a6186434828c402daaa1c74d187b7531f5"},"schema_version":"1.0","source":{"id":"1605.00432","kind":"arxiv","version":1}},"canonical_sha256":"ff2a4daad68fea7aa1fb768ff68938b571e895dbea5fd73275029ff10dc50f4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff2a4daad68fea7aa1fb768ff68938b571e895dbea5fd73275029ff10dc50f4d","first_computed_at":"2026-05-18T01:15:55.821231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:55.821231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F5UVopsrD56aeoLwJJ0ix2ld/BZnJwafu5TAfnyBB9fIqng+O3L/s29CUx0QJA9RPw9dCXyh3sP4y51bUj1fBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:55.821799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9146d36c45f93d1414a87f32e94e582aa2a56c750e34c0df467b55e1085e14b9","sha256:cd6b8f519f37d454afd155d768e74bb8c64968f90e0768a7c3185bb330b2c213"],"state_sha256":"b11a459a7032562350237be269ede39a4d9d611614a7175a389457563b37f7ca"}