{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HX7RACPESFA5CAYLCWIHCRGPWC","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":"9b7e038fc1cb438f78577b11dc32b4359d8b6db319dc24b99c245fd7286965ad","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-15T22:18:17Z","title_canon_sha256":"bf931b05feda2afcef513bb3820162a0e1b7244237c577a929d1ac2a1e8ed0d2"},"schema_version":"1.0","source":{"id":"1001.2784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2784","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2784v2","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2784","created_at":"2026-05-18T04:42:22Z"},{"alias_kind":"pith_short_12","alias_value":"HX7RACPESFA5","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HX7RACPESFA5CAYL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HX7RACPE","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:c0554587f67b2adefb64816a86d9925d7ec902edb0a0bb92e4d123877ac49cf2","target":"graph","created_at":"2026-05-18T04:42:22Z","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 propose a new basis of spin-operators, specific for the case of planar theories, which allows a Lagrangian decomposition into spin-parity components. The procedure enables us to discuss unitarity and spectral properties of gravity models with parity-breaking in a systematic way.","authors_text":"A. A. Vargas-Paredes, B. Pereira-Dias, C. A. Hernaski","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-15T22:18:17Z","title":"Extending the Spin Projection Operators for Gravity Models with Parity-Breaking in 3-D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2784","kind":"arxiv","version":2},"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":"sha256:206e84997a7bc5b40c151bd9fddd255a8e5d8607911027fb9635c2438641b151","target":"record","created_at":"2026-05-18T04:42:22Z","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":"9b7e038fc1cb438f78577b11dc32b4359d8b6db319dc24b99c245fd7286965ad","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-15T22:18:17Z","title_canon_sha256":"bf931b05feda2afcef513bb3820162a0e1b7244237c577a929d1ac2a1e8ed0d2"},"schema_version":"1.0","source":{"id":"1001.2784","kind":"arxiv","version":2}},"canonical_sha256":"3dff1009e49141d1030b15907144cfb0a053bfdebc2b4dfff3e1a2b1c5c02ef4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dff1009e49141d1030b15907144cfb0a053bfdebc2b4dfff3e1a2b1c5c02ef4","first_computed_at":"2026-05-18T04:42:22.047613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:22.047613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gIhpywlToeYBc1VRkolZ1icGt7M/jTAlHSMABEyVmhysf6rHBYDYLwUfOYe91rYO04JQqClC2jnOPvJ+acnwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:22.048281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:206e84997a7bc5b40c151bd9fddd255a8e5d8607911027fb9635c2438641b151","sha256:c0554587f67b2adefb64816a86d9925d7ec902edb0a0bb92e4d123877ac49cf2"],"state_sha256":"e1d1f6a41a135eaf4429d993aa91104b42a0465b908bac80fc0ff3fd93509a9c"}