{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PQJGBPI7OS5PLDUW3P2ZJCPK2H","short_pith_number":"pith:PQJGBPI7","schema_version":"1.0","canonical_sha256":"7c1260bd1f74baf58e96dbf59489ead1f9f70c528c9aedd45f6dee3686adabd6","source":{"kind":"arxiv","id":"1308.3270","version":1},"attestation_state":"computed","paper":{"title":"BRST technique for the cosmological density matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrei O. Barvinsky","submitted_at":"2013-08-14T22:43:44Z","abstract_excerpt":"The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially closed gravitational systems. Using the BRST/BFV formalism in relativistic phase space of gauge and ghost variables we derive the path integral representation for this projector and the relevant statistical sum. This derivation circumvents the difficulties associated with the open algebra of noncommutative quantum Dirac constraints and the construction/regula"},"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":"1308.3270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-14T22:43:44Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0f99f229819968281afcc895350710b2166c284a9af714df437088196ce8757c","abstract_canon_sha256":"97537f68f2d951158f3278f261a2ecef7da7d600e4f5f2f1d13f75b3d246b747"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:15.361949Z","signature_b64":"HI/lSHX1fwNiEpAYQclch1JMAKYPEl0GQ/YWIr/6a5xLJtgFDshxDtQIRZL7pkfU/4tpRIhd0DP0Zz9EQdE7AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c1260bd1f74baf58e96dbf59489ead1f9f70c528c9aedd45f6dee3686adabd6","last_reissued_at":"2026-05-18T01:48:15.361510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:15.361510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"BRST technique for the cosmological density matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrei O. Barvinsky","submitted_at":"2013-08-14T22:43:44Z","abstract_excerpt":"The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially closed gravitational systems. Using the BRST/BFV formalism in relativistic phase space of gauge and ghost variables we derive the path integral representation for this projector and the relevant statistical sum. This derivation circumvents the difficulties associated with the open algebra of noncommutative quantum Dirac constraints and the construction/regula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3270","kind":"arxiv","version":1},"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":"1308.3270","created_at":"2026-05-18T01:48:15.361576+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.3270v1","created_at":"2026-05-18T01:48:15.361576+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3270","created_at":"2026-05-18T01:48:15.361576+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQJGBPI7OS5P","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQJGBPI7OS5PLDUW","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQJGBPI7","created_at":"2026-05-18T12:27:54.935989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.16863","citing_title":"Unitary quantum matter-bounce in a universe with a positive cosmological constant","ref_index":69,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H","json":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H.json","graph_json":"https://pith.science/api/pith-number/PQJGBPI7OS5PLDUW3P2ZJCPK2H/graph.json","events_json":"https://pith.science/api/pith-number/PQJGBPI7OS5PLDUW3P2ZJCPK2H/events.json","paper":"https://pith.science/paper/PQJGBPI7"},"agent_actions":{"view_html":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H","download_json":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H.json","view_paper":"https://pith.science/paper/PQJGBPI7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.3270&json=true","fetch_graph":"https://pith.science/api/pith-number/PQJGBPI7OS5PLDUW3P2ZJCPK2H/graph.json","fetch_events":"https://pith.science/api/pith-number/PQJGBPI7OS5PLDUW3P2ZJCPK2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H/action/storage_attestation","attest_author":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H/action/author_attestation","sign_citation":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H/action/citation_signature","submit_replication":"https://pith.science/pith/PQJGBPI7OS5PLDUW3P2ZJCPK2H/action/replication_record"}},"created_at":"2026-05-18T01:48:15.361576+00:00","updated_at":"2026-05-18T01:48:15.361576+00:00"}