{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:DRHAJMTH5SCJK2GAKU3TZ46TKB","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":"09db41e51868c862762cb1f82794897ce1c3ba47b3a69846f772676b491a0e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2006-12-07T21:42:05Z","title_canon_sha256":"4f2200c4c57388f2bf36bf96cc07aad51f26191156924d28c3cf7cdee7abe084"},"schema_version":"1.0","source":{"id":"hep-th/0612064","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0612064","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612064v3","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612064","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"DRHAJMTH5SCJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DRHAJMTH5SCJK2GA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DRHAJMTH","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:4f0225bfe2467259b9856f0ef13847bb7b2f4a24e16181a1501a7545a5af6773","target":"graph","created_at":"2026-05-18T04:14:45Z","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 consider the time evolution of a quantized field in backgrounds that violate the vacuum stability (particle-creating backgrounds). Our aim is to study the exact form of the final quantum state (the density operator at a final instant of time) that has emerged from a given arbitrary initial state (from a given arbitrary density operator at the initial time instant) in the course of the evolution. We find a generating functional that allows us to have the density operators for any initial state. Averaging over states of a subsystem of antiparticles (particles), we obtain explicit forms for re","authors_text":"D.M. Gitman, J.L. Tomazelli, S.P. Gavrilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2006-12-07T21:42:05Z","title":"Density matrix of a quantum field in a particle-creating background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612064","kind":"arxiv","version":3},"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":"sha256:832af86c9dd63854e297cc37c40f2edf40f424a8eb481ac93c38996dfb6663e6","target":"record","created_at":"2026-05-18T04:14:45Z","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":"09db41e51868c862762cb1f82794897ce1c3ba47b3a69846f772676b491a0e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2006-12-07T21:42:05Z","title_canon_sha256":"4f2200c4c57388f2bf36bf96cc07aad51f26191156924d28c3cf7cdee7abe084"},"schema_version":"1.0","source":{"id":"hep-th/0612064","kind":"arxiv","version":3}},"canonical_sha256":"1c4e04b267ec849568c055373cf3d3505c27cb4f9c7900005fedc27b5776d794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c4e04b267ec849568c055373cf3d3505c27cb4f9c7900005fedc27b5776d794","first_computed_at":"2026-05-18T04:14:45.258161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:45.258161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"it/34D9y/ZkaB+1ftwdw16u+SywT+pVvgOTwOFNHMxckCa4VpSdOR0tucqYaGLkB0/4vmfMxOoY6gfx4MuCyAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:45.258608Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0612064","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:832af86c9dd63854e297cc37c40f2edf40f424a8eb481ac93c38996dfb6663e6","sha256:4f0225bfe2467259b9856f0ef13847bb7b2f4a24e16181a1501a7545a5af6773"],"state_sha256":"f3d61a599b22f901ad0b840b76d55fd768c1f175664d04af36919ef1b210b008"}