{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Y2LDTMD7APJNNXGPM7WZ6WTANC","short_pith_number":"pith:Y2LDTMD7","schema_version":"1.0","canonical_sha256":"c69639b07f03d2d6dccf67ed9f5a6068b0ff50216f484d33f7f938faacd4ab3d","source":{"kind":"arxiv","id":"1302.4875","version":2},"attestation_state":"computed","paper":{"title":"Generalized spherically symmetric gravitational model: Hamiltonian dynamics in extended phase space and BRST charge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"T. P. Shestakova","submitted_at":"2013-02-20T11:07:27Z","abstract_excerpt":"We construct Hamiltonian dynamics of the generalized spherically symmetric gravitational model in extended phase space. We start from the Faddeev - Popov effective action with gauge-fixing and ghost terms, making use of gauge conditions in differential form. It enables us to introduce missing velocities into the Lagrangian and then construct a Hamiltonian function according a usual rule which is applied for systems without constraints. The main feature of Hamiltonian dynamics in extended phase space is that it can be proved to be completely equivalent to Lagrangian dynamics derived from the ef"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1302.4875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-20T11:07:27Z","cross_cats_sorted":[],"title_canon_sha256":"02cddfc1eac27158fd8c4c836fff892b2838933a973b66380490e942fd876ddd","abstract_canon_sha256":"733ae2f1d30b2b4416e3fad4563f10a05392efb27924e4675b9e4cc0c92fdcca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:54.178698Z","signature_b64":"MNPHjBtPSSZmRDd9iMBmu4jCbEae+DX77CKqz7bWGBfj8/4XQ+wMjJxbtRMFFYfGJfcxtLK3MxIQZUH2nBNwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c69639b07f03d2d6dccf67ed9f5a6068b0ff50216f484d33f7f938faacd4ab3d","last_reissued_at":"2026-05-18T02:49:54.178037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:54.178037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized spherically symmetric gravitational model: Hamiltonian dynamics in extended phase space and BRST charge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"T. P. Shestakova","submitted_at":"2013-02-20T11:07:27Z","abstract_excerpt":"We construct Hamiltonian dynamics of the generalized spherically symmetric gravitational model in extended phase space. We start from the Faddeev - Popov effective action with gauge-fixing and ghost terms, making use of gauge conditions in differential form. It enables us to introduce missing velocities into the Lagrangian and then construct a Hamiltonian function according a usual rule which is applied for systems without constraints. The main feature of Hamiltonian dynamics in extended phase space is that it can be proved to be completely equivalent to Lagrangian dynamics derived from the ef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4875","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1302.4875","created_at":"2026-05-18T02:49:54.178138+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.4875v2","created_at":"2026-05-18T02:49:54.178138+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4875","created_at":"2026-05-18T02:49:54.178138+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y2LDTMD7APJN","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y2LDTMD7APJNNXGP","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y2LDTMD7","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC","json":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC.json","graph_json":"https://pith.science/api/pith-number/Y2LDTMD7APJNNXGPM7WZ6WTANC/graph.json","events_json":"https://pith.science/api/pith-number/Y2LDTMD7APJNNXGPM7WZ6WTANC/events.json","paper":"https://pith.science/paper/Y2LDTMD7"},"agent_actions":{"view_html":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC","download_json":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC.json","view_paper":"https://pith.science/paper/Y2LDTMD7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.4875&json=true","fetch_graph":"https://pith.science/api/pith-number/Y2LDTMD7APJNNXGPM7WZ6WTANC/graph.json","fetch_events":"https://pith.science/api/pith-number/Y2LDTMD7APJNNXGPM7WZ6WTANC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC/action/storage_attestation","attest_author":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC/action/author_attestation","sign_citation":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC/action/citation_signature","submit_replication":"https://pith.science/pith/Y2LDTMD7APJNNXGPM7WZ6WTANC/action/replication_record"}},"created_at":"2026-05-18T02:49:54.178138+00:00","updated_at":"2026-05-18T02:49:54.178138+00:00"}