{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2HL6U6PNHOBVW2ADDMPFTYVAWV","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":"1a07c8e02c532cff9b3a0ed51e24474f0f8759ffcbb6de92354e818eac29746f","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-29T21:18:19Z","title_canon_sha256":"d7bea015a98944329956e2cba1d34f1f195263a0199a81f6bcbd66e47a2f5a76"},"schema_version":"1.0","source":{"id":"1307.7743","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7743","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7743v2","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7743","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"2HL6U6PNHOBV","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2HL6U6PNHOBVW2AD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2HL6U6PN","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:9ed97ea19f72c20a99bb7a7b2a1559428aad5290a3b2b9ef76d885044ad9562f","target":"graph","created_at":"2026-05-18T01:29:59Z","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 initial stages of the evolution of an open quantum system encode the key information of its underlying dynamical correlations, which in turn can predict the trajectory at later stages. We propose a general approach based on non-Markovian dynamical maps to extract this information from the initial trajectories and compress it into non-Markovian transfer tensors. Assuming time-translational invariance, the tensors can be used to accurately and efficiently propagate the state of the system to arbitrarily long timescales. The non-Markovian Transfer Tensor Method (TTM) demonstrates the coherent","authors_text":"Javier Cerrillo, Jianshu Cao","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-29T21:18:19Z","title":"Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7743","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:e2e5e70dc3a88826c8942fdc4d9e483a3a729ecbdaf501e50c0c5da3b03e0d60","target":"record","created_at":"2026-05-18T01:29:59Z","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":"1a07c8e02c532cff9b3a0ed51e24474f0f8759ffcbb6de92354e818eac29746f","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-29T21:18:19Z","title_canon_sha256":"d7bea015a98944329956e2cba1d34f1f195263a0199a81f6bcbd66e47a2f5a76"},"schema_version":"1.0","source":{"id":"1307.7743","kind":"arxiv","version":2}},"canonical_sha256":"d1d7ea79ed3b835b68031b1e59e2a0b560cabae84363e86bbf2bcbab29acd02c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1d7ea79ed3b835b68031b1e59e2a0b560cabae84363e86bbf2bcbab29acd02c","first_computed_at":"2026-05-18T01:29:59.772043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:59.772043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4V4JifNHy+Ovn0zTq0jVGdK54rOx10O8rF+7wCqLe6LK9qgHvW2FDipDVXq1E+9Pdsz5pF2QD8wFwzpFRj3oBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:59.772639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7743","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2e5e70dc3a88826c8942fdc4d9e483a3a729ecbdaf501e50c0c5da3b03e0d60","sha256:9ed97ea19f72c20a99bb7a7b2a1559428aad5290a3b2b9ef76d885044ad9562f"],"state_sha256":"4aeff1afc1d7e53f4478bf458698c8715f1e4b731ddad00a223aa31234fb439c"}