{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:W7XIC2EFASXTRZ2RCWWM56ZJQE","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":"85eab2954343875e491cd9adcc78e668dbb0d2d902ad9b1617d23e293885ecdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-27T14:41:31Z","title_canon_sha256":"abc099a1651ec59f2ccae84a184c5ca4f9e6ae867ca42b7647b5fef5ec42e6a3"},"schema_version":"1.0","source":{"id":"1707.08887","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08887","created_at":"2026-05-18T00:27:46Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08887v1","created_at":"2026-05-18T00:27:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08887","created_at":"2026-05-18T00:27:46Z"},{"alias_kind":"pith_short_12","alias_value":"W7XIC2EFASXT","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"W7XIC2EFASXTRZ2R","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"W7XIC2EF","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:1fa493f383888db64cd2b078a80b66884dd35c247bff79f060a4b2d2a999c4fc","target":"graph","created_at":"2026-05-18T00:27:46Z","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":"The solution space of three-dimensional asymptotically anti-de Sitter or flat Einstein gravity is given by the coadjoint representation of two copies of the Virasoro group in the former and the centrally extended BMS$_3$ group in the latter case. Dynamical actions that control these solution spaces are usually constructed by starting from the Chern-Simons formulation and imposing all boundary conditions. In this note, an alternative route is followed. We study in detail how to derive these actions from a group-theoretical viewpoint by constructing geometric actions for each of the coadjoint or","authors_text":"Glenn Barnich, Hernan A. Gonzalez, Patricio Salgado-Rebolledo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-27T14:41:31Z","title":"Geometric actions for three-dimensional gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08887","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:abbce4b9d90144d9ce5c32411dfa0755c0c1c8f156bb4366f9b690f123b8747f","target":"record","created_at":"2026-05-18T00:27:46Z","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":"85eab2954343875e491cd9adcc78e668dbb0d2d902ad9b1617d23e293885ecdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-27T14:41:31Z","title_canon_sha256":"abc099a1651ec59f2ccae84a184c5ca4f9e6ae867ca42b7647b5fef5ec42e6a3"},"schema_version":"1.0","source":{"id":"1707.08887","kind":"arxiv","version":1}},"canonical_sha256":"b7ee81688504af38e75115accefb2981011c476df777a95693e41834ba222509","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7ee81688504af38e75115accefb2981011c476df777a95693e41834ba222509","first_computed_at":"2026-05-18T00:27:46.143415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:46.143415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3F7rn+DjiYFKngawJvRczplDvgk7wo/+JZ8NzuZz1GQpU20rHzoGWHN/ynrIIHUl7ds/ht/C+ovx3g4Baiy7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:46.143909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08887","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abbce4b9d90144d9ce5c32411dfa0755c0c1c8f156bb4366f9b690f123b8747f","sha256:1fa493f383888db64cd2b078a80b66884dd35c247bff79f060a4b2d2a999c4fc"],"state_sha256":"916a5dd654fd8533b62354937a3b4f228427ff32033bcd6c74ec6822e778d58b"}