{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U5FJNOXS2WDWLLEO6IKITDPFSH","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":"e8e32aa67edbd66cde7050e427db28f4aecd582627cc939fa6c6e391faa06024","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-30T06:48:34Z","title_canon_sha256":"1aa1a0d5b58a540d63b32831d787ba23cb13fc50cea841ac979bb416f8db33fc"},"schema_version":"1.0","source":{"id":"1701.08494","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08494","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08494v2","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08494","created_at":"2026-05-18T00:23:40Z"},{"alias_kind":"pith_short_12","alias_value":"U5FJNOXS2WDW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U5FJNOXS2WDWLLEO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U5FJNOXS","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:b06faa3b1088808ee389636e18730337d9a041e018b1a39387d4648dd9014a9e","target":"graph","created_at":"2026-05-18T00:23:40Z","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":"We study the Hamiltonian formalisms of the second order degenerate Cl\\`ement and Sar{\\i}o\\u{g}lu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm is employed while arriving at the total Hamiltonian functions and the Hamilton's equations on the associated momemtum phase spaces whereas the Gotay-Nester-Hinds algorithm is run while investigating the Skinner-Rusk unified formalism on the proper Whitney bundles.","authors_text":"Filiz \\c{C}a\\u{g}atay-U\\c{c}gun, Hasan G\\\"umral, O\\u{g}ul Esen","cross_cats":["math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-30T06:48:34Z","title":"Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08494","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:a2f84ea74fc9a1862c05b2313a24006f5d6fc6fb355a73b36b3bc59231b1c6d4","target":"record","created_at":"2026-05-18T00:23:40Z","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":"e8e32aa67edbd66cde7050e427db28f4aecd582627cc939fa6c6e391faa06024","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-30T06:48:34Z","title_canon_sha256":"1aa1a0d5b58a540d63b32831d787ba23cb13fc50cea841ac979bb416f8db33fc"},"schema_version":"1.0","source":{"id":"1701.08494","kind":"arxiv","version":2}},"canonical_sha256":"a74a96baf2d58765ac8ef214898de591ddb880739d2975c24be9f0218ab69ff7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a74a96baf2d58765ac8ef214898de591ddb880739d2975c24be9f0218ab69ff7","first_computed_at":"2026-05-18T00:23:40.129507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:40.129507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvUg5cs1ghEm6gOblTPzFXr46t4moaygLRO5EhL5PtnNmBfxyWfAz5rOFMt1HvYABuh6fAmI3V6/jXy+zaa5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:40.130040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08494","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f84ea74fc9a1862c05b2313a24006f5d6fc6fb355a73b36b3bc59231b1c6d4","sha256:b06faa3b1088808ee389636e18730337d9a041e018b1a39387d4648dd9014a9e"],"state_sha256":"f75294c71e156325110fd40a02a82a236dbb544db8fabce43f0130ab4a330b12"}