{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JBI3KI54AZKQ6IZANWRIEJE2HB","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":"10165c85af3b951e4541ba1500ac8de7f95db8a0ed5858be135acbb66ecb4ab5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-23T18:00:29Z","title_canon_sha256":"d8d6d2de53b3908d0dff2ae4369208b9a2fda68ae36e6819d36baeb06e94280e"},"schema_version":"1.0","source":{"id":"1511.07342","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07342","created_at":"2026-05-18T01:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07342v4","created_at":"2026-05-18T01:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07342","created_at":"2026-05-18T01:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"JBI3KI54AZKQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JBI3KI54AZKQ6IZA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JBI3KI54","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:56c0559a54b3853465c0901d144bf454c28bde24b9b982f23adc35adc057bcbe","target":"graph","created_at":"2026-05-18T01:00:09Z","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":"A detailed Dirac's and Faddeev-Jackiw quantization of Bonzom-Livine model describing gravity in three dimensions is performed. The full structure of the constraints, the gauge transformations and the generalized Faddeev-Jackiw brackets are found. In addition, we show that the Faddeev-Jackiw and Dirac's brackets coincide to each other. Finally we discuss some remarks and prospects.","authors_text":"Alberto Escalante (Puebla U., Jaime Manuel Cabrera (Puebla U., Mexico)","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-23T18:00:29Z","title":"Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07342","kind":"arxiv","version":4},"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":"sha256:8b843946d4ae979d33b9f25805dd6b39409b0b15a032592a12a7db67e8aed2d7","target":"record","created_at":"2026-05-18T01:00:09Z","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":"10165c85af3b951e4541ba1500ac8de7f95db8a0ed5858be135acbb66ecb4ab5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-23T18:00:29Z","title_canon_sha256":"d8d6d2de53b3908d0dff2ae4369208b9a2fda68ae36e6819d36baeb06e94280e"},"schema_version":"1.0","source":{"id":"1511.07342","kind":"arxiv","version":4}},"canonical_sha256":"4851b523bc06550f23206da282249a384fac4bcb309a2a8cce6b7b28f2b8117c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4851b523bc06550f23206da282249a384fac4bcb309a2a8cce6b7b28f2b8117c","first_computed_at":"2026-05-18T01:00:09.967730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:09.967730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4yRkd7PzI6roPlhpiVKJ7WhBQYSEgYVG1Yf2bUaoo2/fLE7iusreySTAz3Xb96kotqQkGrNKYgdBZGjl/UmDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:09.968310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07342","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b843946d4ae979d33b9f25805dd6b39409b0b15a032592a12a7db67e8aed2d7","sha256:56c0559a54b3853465c0901d144bf454c28bde24b9b982f23adc35adc057bcbe"],"state_sha256":"5fbbc76786c22156a8b2cbd16d63cb5b96d0930e3f5dc82e99fbe60869ce144a"}