{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BVRDEIRXYIKIPY7C6JRPJJISZ2","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":"0fabf153161c63347d173c60afd8d9f33309f025e338b90553a5914e9775d8e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-11T19:16:19Z","title_canon_sha256":"5817f550bed1fc2388a72f27fc1191ff60e6789a6aecddaf21fd558689648620"},"schema_version":"1.0","source":{"id":"1312.3284","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3284","created_at":"2026-05-18T03:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3284v1","created_at":"2026-05-18T03:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3284","created_at":"2026-05-18T03:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"BVRDEIRXYIKI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BVRDEIRXYIKIPY7C","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BVRDEIRX","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:0d1c858cbdda83b2c301ce13f60fe8f890cb23335c6501781b6f65bca5626522","target":"graph","created_at":"2026-05-18T03:04:59Z","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":"We classify, up to orbit equivalence, the cohomogeneity one actions on the noncompact duals of the symmetric spaces G_2, SU_3 and the real oriented two-plane Grassmannians.","authors_text":"Jurgen Berndt, Miguel Dominguez-Vazquez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-11T19:16:19Z","title":"Cohomogeneity one actions on some noncompact symmetric spaces of rank two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3284","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":"sha256:255d8061df6035825e75461b2a9beda65ecc571ba1c45d32c0d4b510785f912f","target":"record","created_at":"2026-05-18T03:04:59Z","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":"0fabf153161c63347d173c60afd8d9f33309f025e338b90553a5914e9775d8e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-11T19:16:19Z","title_canon_sha256":"5817f550bed1fc2388a72f27fc1191ff60e6789a6aecddaf21fd558689648620"},"schema_version":"1.0","source":{"id":"1312.3284","kind":"arxiv","version":1}},"canonical_sha256":"0d62322237c21487e3e2f262f4a512ce896e84d2bbe2f7d244936cbe5f47969f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d62322237c21487e3e2f262f4a512ce896e84d2bbe2f7d244936cbe5f47969f","first_computed_at":"2026-05-18T03:04:59.996389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:59.996389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHexFBU2wze0SMxnU1PRplwcvmfM6EWsj6XeJonLokWMN6PC3T6j2LhLTZwwJhS9jAQz2HNbmVGUzs4BWbQNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:59.996941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3284","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:255d8061df6035825e75461b2a9beda65ecc571ba1c45d32c0d4b510785f912f","sha256:0d1c858cbdda83b2c301ce13f60fe8f890cb23335c6501781b6f65bca5626522"],"state_sha256":"6be9e6aae3150386660597ece2cfab8def5a98b2544b3c5a3af06e107d18fa3e"}