{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SZGQHF7G5CB5G3EC45JWNEU2SD","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":"62a4bc997f4f1ce75c2435557a222499d094db60bf2bde4c7f0eb72f3f0952c4","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-25T17:38:10Z","title_canon_sha256":"296cd6be883473f2aff8b4f45140b73dc96975f3f937c3c85edfd99bd4e866f7"},"schema_version":"1.0","source":{"id":"1210.6920","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6920","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6920v3","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6920","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"SZGQHF7G5CB5","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SZGQHF7G5CB5G3EC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SZGQHF7G","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:02b6617675cdc452dc3fe3cf6158ffe48a18ecdc82c3f005f6366c81925191e7","target":"graph","created_at":"2026-05-18T03:28:05Z","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 show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is sharp by exhibiting a class of 3D Lorentzian manifolds which realize this bound. The analysis is based on a three-dimensional analogue of the Newman-Pen-rose formalism, and spinorial classification of the three-dimensional Ricci tensor.","authors_text":"Lode Wylleman, Robert Milson","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-25T17:38:10Z","title":"Three-dimensional spacetimes of maximal order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6920","kind":"arxiv","version":3},"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":"sha256:75bce03c9fd04df8072f7a71201f87dd16ac351e2081a7386b3c6ea8bf25890e","target":"record","created_at":"2026-05-18T03:28:05Z","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":"62a4bc997f4f1ce75c2435557a222499d094db60bf2bde4c7f0eb72f3f0952c4","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-25T17:38:10Z","title_canon_sha256":"296cd6be883473f2aff8b4f45140b73dc96975f3f937c3c85edfd99bd4e866f7"},"schema_version":"1.0","source":{"id":"1210.6920","kind":"arxiv","version":3}},"canonical_sha256":"964d0397e6e883d36c82e75366929a90d0b0018d59751021a51b7f4cd4eac331","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"964d0397e6e883d36c82e75366929a90d0b0018d59751021a51b7f4cd4eac331","first_computed_at":"2026-05-18T03:28:05.528470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:05.528470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2P6jgtv1sY3JDKjlGOlEDCI68uU/VU2bWa/9QoBNUegMuEhCqu8Rz6b0gDWCN7G/wZvu6VnHktr+dYpyuCmQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:05.529244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6920","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75bce03c9fd04df8072f7a71201f87dd16ac351e2081a7386b3c6ea8bf25890e","sha256:02b6617675cdc452dc3fe3cf6158ffe48a18ecdc82c3f005f6366c81925191e7"],"state_sha256":"147f2834d517c3c0ae9352b3d83cbb3194339d2021921093e62f373d0f771f09"}