{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AKEOJ5G7P7R7CLSLWWFJYYOAC5","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":"2ccc21026f847049a981658cefcd40212efbf06e4e140d856aedac27be94a001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-22T11:33:45Z","title_canon_sha256":"6b4ed68adfd0a16c54b2bfadb587cebb281833cf788b7f9f71f514bb4e6b5d4f"},"schema_version":"1.0","source":{"id":"1304.5917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5917","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5917v1","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5917","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"AKEOJ5G7P7R7","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKEOJ5G7P7R7CLSL","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKEOJ5G7","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:df53ad261a96a57dee8b558a096d2c72adeaaae5b54669f8fca22219946b39b9","target":"graph","created_at":"2026-05-18T03:27:23Z","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 investigate the exact evolution of the reduced dynamics of a one qubit system as central spin coupled to a femionic layered environment with unlimited number of layers. Also, we study the decoherence induced on central spin by analysis solution is obtained in the limit $N\\rightarrow\\infty$ of an infinite number of bath spins. Finally, the Nakajima-Zwanzig (NZ) and the time-convolutionless (TCL) projection operator techniques to second order are derived.","authors_text":"Hadi Mehrabpour, Mahmoud Mahdian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-22T11:33:45Z","title":"Exact dynamics of one-qubit system in layered environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5917","kind":"arxiv","version":1},"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":"sha256:2f13de492f043c53efc3bd372346ac7414e1e17b0a50724bd42f57d2abe9322b","target":"record","created_at":"2026-05-18T03:27:23Z","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":"2ccc21026f847049a981658cefcd40212efbf06e4e140d856aedac27be94a001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-22T11:33:45Z","title_canon_sha256":"6b4ed68adfd0a16c54b2bfadb587cebb281833cf788b7f9f71f514bb4e6b5d4f"},"schema_version":"1.0","source":{"id":"1304.5917","kind":"arxiv","version":1}},"canonical_sha256":"0288e4f4df7fe3f12e4bb58a9c61c0174b68d5968c4b89f2c8cfdf94a6de73d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0288e4f4df7fe3f12e4bb58a9c61c0174b68d5968c4b89f2c8cfdf94a6de73d3","first_computed_at":"2026-05-18T03:27:23.780977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:23.780977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdIX4i0HZxZ7KvMwQe0hdyGsGItsk0zvVGZJfkM2kVpHenh1CkLotCiOzQd3ffCdyO69o9OiT+EZz7PPDeXlAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:23.781525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f13de492f043c53efc3bd372346ac7414e1e17b0a50724bd42f57d2abe9322b","sha256:df53ad261a96a57dee8b558a096d2c72adeaaae5b54669f8fca22219946b39b9"],"state_sha256":"2bb4d20540eb462307b1dd8baea646794e6955e23d587cf5a971c7cd1e0b26b8"}