{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:MZMULNIWU5MJLAH47HD4WSU2QU","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":"af3aebe001f0972473ae939a907039ed34743f2eca75e7c7894e31b1a705bc86","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-08-02T20:08:07Z","title_canon_sha256":"8d04d6f62a3029391d0899bdf3b87bf7bf37eca710f5d3a6bcb0a86e187f09fe"},"schema_version":"1.0","source":{"id":"0708.0410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.0410","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"0708.0410v2","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.0410","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"MZMULNIWU5MJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"MZMULNIWU5MJLAH4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"MZMULNIW","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:8e6cf17df2ab9f0d762eb098889bc25820d8f87579845999a2b13a4dac637984","target":"graph","created_at":"2026-05-18T04:32:35Z","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":"The dynamics of an open quantum system is usually studied by performing a weak-coupling and weak-correlation expansion in the system-bath interaction. For systems exhibiting strong couplings and highly non-Markovian behavior this approach is not justified. We apply a recently proposed correlated projection superoperator technique to the model of a central spin coupled to a spin bath via full Heisenberg interaction. Analytical solutions to both the Nakajima-Zwanzig and the time-convolutionless master equation are determined and compared with the results of the exact solution. The correlated pro","authors_text":"Heinz-Peter Breuer, Jan Fischer","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-08-02T20:08:07Z","title":"Correlated projection operator approach to non-Markovian dynamics in spin baths"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0410","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":"sha256:8485610c15cbcd50e7fedc6c758e57068d7d63845c305e58218179a93a1945ad","target":"record","created_at":"2026-05-18T04:32:35Z","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":"af3aebe001f0972473ae939a907039ed34743f2eca75e7c7894e31b1a705bc86","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-08-02T20:08:07Z","title_canon_sha256":"8d04d6f62a3029391d0899bdf3b87bf7bf37eca710f5d3a6bcb0a86e187f09fe"},"schema_version":"1.0","source":{"id":"0708.0410","kind":"arxiv","version":2}},"canonical_sha256":"665945b516a7589580fcf9c7cb4a9a8521f5678a69ae035a0643f194044e6c76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"665945b516a7589580fcf9c7cb4a9a8521f5678a69ae035a0643f194044e6c76","first_computed_at":"2026-05-18T04:32:35.374378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:35.374378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6tajL4qHhmOfscIXKUPfUiHAeTC5PfXTUwOXIQE+PF7dMlSTdHY5vp7I9sG/gDKyjf6CbFTQVIgIlqG+QK3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:35.374957Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.0410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8485610c15cbcd50e7fedc6c758e57068d7d63845c305e58218179a93a1945ad","sha256:8e6cf17df2ab9f0d762eb098889bc25820d8f87579845999a2b13a4dac637984"],"state_sha256":"f42c581abbef9dc1a7f835df16b7aa30561d8976fa1022e9e6982ae8cb81f512"}