{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HCM4OBTKXY7RE55EG2Q7IXDPIB","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":"58d1a06fd0fc9ec994cb4c533511003e7a360226dd85166481addf831f63e948","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-11-19T14:54:29Z","title_canon_sha256":"fe48b1dd2d69786ea8a85f35b68da4d7e6f698dda3a5bde7370c4c3e9561f188"},"schema_version":"1.0","source":{"id":"2011.09873","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.09873","created_at":"2026-07-05T02:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"2011.09873v2","created_at":"2026-07-05T02:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.09873","created_at":"2026-07-05T02:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"HCM4OBTKXY7R","created_at":"2026-07-05T02:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"HCM4OBTKXY7RE55E","created_at":"2026-07-05T02:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"HCM4OBTK","created_at":"2026-07-05T02:18:32Z"}],"graph_snapshots":[{"event_id":"sha256:f51f2c4ddad11d443674cb400f9a70bd8a4e35abc3ba4b96c9ff5ee5efb4be26","target":"graph","created_at":"2026-07-05T02:18:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2011.09873/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the phase space of three-dimensional gravity contains two layers of dualities: between diffeomorphisms and a notion of \"dual diffeomorphisms\" on the one hand, and between first order curvature and torsion on the other hand. This is most elegantly revealed and understood when studying the most general Lorentz-invariant first order theory in connection and triad variables, described by the so-called Mielke-Baekler Lagrangian. By analyzing the quasi-local symmetries of this theory in the covariant phase space formalism, we show that in each sector of the torsion/curvature duality the","authors_text":"Christophe Goeller, Marc Geiller, Nelson Merino","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-11-19T14:54:29Z","title":"Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.09873","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":"sha256:969830fddf695ab84df3b0005201d947d6aaf9b1241d5eab4bedce6c9beb97ca","target":"record","created_at":"2026-07-05T02:18:32Z","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":"58d1a06fd0fc9ec994cb4c533511003e7a360226dd85166481addf831f63e948","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-11-19T14:54:29Z","title_canon_sha256":"fe48b1dd2d69786ea8a85f35b68da4d7e6f698dda3a5bde7370c4c3e9561f188"},"schema_version":"1.0","source":{"id":"2011.09873","kind":"arxiv","version":2}},"canonical_sha256":"3899c7066abe3f1277a436a1f45c6f405047a0c9869f6eb599e8fdcadd831ffc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3899c7066abe3f1277a436a1f45c6f405047a0c9869f6eb599e8fdcadd831ffc","first_computed_at":"2026-07-05T02:18:32.787277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:18:32.787277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOCB1URDHW/ILN+fTWd6qbAO2H8qYOdq+TAUbvVQfpFzO7JH6X6SYQKjg/ItW/N4U2Jdsu+emHUJ8SnY4t2XCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:18:32.787688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.09873","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969830fddf695ab84df3b0005201d947d6aaf9b1241d5eab4bedce6c9beb97ca","sha256:f51f2c4ddad11d443674cb400f9a70bd8a4e35abc3ba4b96c9ff5ee5efb4be26"],"state_sha256":"2108554b385772f7316a6c8d35e1776b20ecf85e26563fc94f26fd29bdb834d4"}