{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JVS6T36QIC2AZPUGZTT6WNBQOU","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":"e16d691cb225038efbb504f413df73f9bd481001638a6202017aaad5bcb4a9d9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-04-23T20:02:40Z","title_canon_sha256":"086263f5e91b61514676996ea682db2e5ceb23412f8824fad70f418c6a0e2272"},"schema_version":"1.0","source":{"id":"1804.08695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08695","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08695v1","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08695","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"JVS6T36QIC2A","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JVS6T36QIC2AZPUG","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JVS6T36Q","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:2a440c3dfb2b9a0588e2290d5f21a7742344c384714d98f4a107a0b0ab3353ba","target":"graph","created_at":"2026-05-18T00:17:46Z","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 this paper, we give a complete topological, as well as geometrical classification of closed 3-dimensional Lorentz manifolds admitting a noncompact isometry group.","authors_text":"Charles Frances","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-04-23T20:02:40Z","title":"Lorentz Dynamics on Closed 3-Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08695","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":"sha256:25df80878effa18b89a0df0ab8609a06aed7da41afb73cfd981945927ecca4ad","target":"record","created_at":"2026-05-18T00:17:46Z","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":"e16d691cb225038efbb504f413df73f9bd481001638a6202017aaad5bcb4a9d9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-04-23T20:02:40Z","title_canon_sha256":"086263f5e91b61514676996ea682db2e5ceb23412f8824fad70f418c6a0e2272"},"schema_version":"1.0","source":{"id":"1804.08695","kind":"arxiv","version":1}},"canonical_sha256":"4d65e9efd040b40cbe86cce7eb3430752d3c6ee6ecff84289df585be98fdec63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d65e9efd040b40cbe86cce7eb3430752d3c6ee6ecff84289df585be98fdec63","first_computed_at":"2026-05-18T00:17:46.936880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:46.936880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W5iBB5CM7JVS/xWqAlJnPZOMV1ZCXpY8Bw6DZYTO7Z2kmcdDvfVuPl29aNgdq7mnza7LCAKbHsxdFxO+LHzbDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:46.937474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25df80878effa18b89a0df0ab8609a06aed7da41afb73cfd981945927ecca4ad","sha256:2a440c3dfb2b9a0588e2290d5f21a7742344c384714d98f4a107a0b0ab3353ba"],"state_sha256":"e4721b4b7563ab7f4d4aefd7cfd343ca43a09eb61710e9d59e1e60b16a63d9c3"}