{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A22BRYIMESFJWPDRHEHTBEOL6E","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":"efb69641bfaf013644204bd91020edda4856d7faa6ba452926d199d47a051fe3","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-24T06:45:12Z","title_canon_sha256":"469bfd68ac10975c51ccc9195386a21a8e3051849518baa64d24533a2a9b5cf7"},"schema_version":"1.0","source":{"id":"1907.12890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.12890","created_at":"2026-07-05T01:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1907.12890v1","created_at":"2026-07-05T01:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.12890","created_at":"2026-07-05T01:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"A22BRYIMESFJ","created_at":"2026-07-05T01:18:37Z"},{"alias_kind":"pith_short_16","alias_value":"A22BRYIMESFJWPDR","created_at":"2026-07-05T01:18:37Z"},{"alias_kind":"pith_short_8","alias_value":"A22BRYIM","created_at":"2026-07-05T01:18:37Z"}],"graph_snapshots":[{"event_id":"sha256:a8908a642f7d5e9fb6ff8a0e77827206e41f8c19b8ecb86a44983c3fbcd9053d","target":"graph","created_at":"2026-07-05T01:18:37Z","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/1907.12890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Second order degenerate Cl\\`ement and Sar{\\i}o\\u{g}lu-Tekin Lagrangians are casted into forms of various first order Lagrangians. Hamiltonian analysis of these equivalent formalisms are performed by means of Dirac-Bergmann constraint algorithm.","authors_text":"Filiz \\c{C}a\\u{g}atay U\\c{c}gun, Hasan G\\\"umral, O\\u{g}ul Esen","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-24T06:45:12Z","title":"Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.12890","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:f9e4aa124d43153302e849435e819c8d69873f488610008c8517306e4d29cba5","target":"record","created_at":"2026-07-05T01:18:37Z","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":"efb69641bfaf013644204bd91020edda4856d7faa6ba452926d199d47a051fe3","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-24T06:45:12Z","title_canon_sha256":"469bfd68ac10975c51ccc9195386a21a8e3051849518baa64d24533a2a9b5cf7"},"schema_version":"1.0","source":{"id":"1907.12890","kind":"arxiv","version":1}},"canonical_sha256":"06b418e10c248a9b3c71390f3091cbf13c7a7b960f853465fa3cc37e76f0b790","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06b418e10c248a9b3c71390f3091cbf13c7a7b960f853465fa3cc37e76f0b790","first_computed_at":"2026-07-05T01:18:37.540182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:37.540182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rQotPo3udgSjNx6i3d90ow8RbBemuqAuh4sNLaj6lCDQHCaZFCEuhk874jKShxA0LPKK4nZ6tH7BJBH7Y8H5CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:37.540676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.12890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9e4aa124d43153302e849435e819c8d69873f488610008c8517306e4d29cba5","sha256:a8908a642f7d5e9fb6ff8a0e77827206e41f8c19b8ecb86a44983c3fbcd9053d"],"state_sha256":"051d8643f77caf1b89719eb16ee578563e2694e76b6c12bd1ea9d6c84a0c770e"}