{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VBX2XJ6ZLUB7XRPMA7NXPTG53E","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":"a15d1a8f18820e0808fc989dbf3a6dd06b594b8edbc2546e34b5363e1549e537","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-12T01:03:22Z","title_canon_sha256":"8966554f3b0653265847f5822d16a2598235bdd502fad70815b61661d920730a"},"schema_version":"1.0","source":{"id":"1610.01646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01646","created_at":"2026-05-18T00:47:10Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01646v1","created_at":"2026-05-18T00:47:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01646","created_at":"2026-05-18T00:47:10Z"},{"alias_kind":"pith_short_12","alias_value":"VBX2XJ6ZLUB7","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VBX2XJ6ZLUB7XRPM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VBX2XJ6Z","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:57d510c6a8b3bede0f7113f1db60226131327864ea0a95cab991db500c327cf4","target":"graph","created_at":"2026-05-18T00:47:10Z","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 a detailed Hamiltonian analysis of three-dimensional gravity without dynamics proposed by V. Hussain is performed. We report the complete structure of the constraints and the Dirac brackets are explicitly computed. In addition, the Faddeev-Jackiw symplectic approach is developed; we report the complete set of Faddeev-Jackiw constraints and the generalized brackets, then we show that the Dirac and the generalized Faddeev-Jackiw brackets coincide to each other. Finally, the similarities and advantages between Faddeev-Jackiw and Dirac's formalism are briefly discussed.","authors_text":"Alberto Escalante (Puebla U., H. H. Osmart Ochoa-Guti\\'errez (Puebla U., Inst. Fis.), Mexico)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-12T01:03:22Z","title":"Canonical and symplectic analysis for three dimensional gravity without dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01646","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:a1692b93ff9c915d9d08adc186a15492bea8671d00717640554f3ffcad39a3da","target":"record","created_at":"2026-05-18T00:47:10Z","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":"a15d1a8f18820e0808fc989dbf3a6dd06b594b8edbc2546e34b5363e1549e537","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-12T01:03:22Z","title_canon_sha256":"8966554f3b0653265847f5822d16a2598235bdd502fad70815b61661d920730a"},"schema_version":"1.0","source":{"id":"1610.01646","kind":"arxiv","version":1}},"canonical_sha256":"a86faba7d95d03fbc5ec07db77ccddd901cbb91f9f058c5adbdb246d4c28cac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a86faba7d95d03fbc5ec07db77ccddd901cbb91f9f058c5adbdb246d4c28cac1","first_computed_at":"2026-05-18T00:47:10.039817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:10.039817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"shiAQLi0YNXFkbx9eR2rcIbPV82FXOYpiS0EnnJFTHZgA5/dOzOfg28JKOK403R2neNdLHxw9lJR6XzxdxUvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:10.040361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1692b93ff9c915d9d08adc186a15492bea8671d00717640554f3ffcad39a3da","sha256:57d510c6a8b3bede0f7113f1db60226131327864ea0a95cab991db500c327cf4"],"state_sha256":"ad094cc53f6c2dcc0ca0fd7c5df6ed067bef104ae483e70eb68334de7b9cb602"}