{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5P6HQD7G5KQHLRZ7TOZCEOO3WK","short_pith_number":"pith:5P6HQD7G","schema_version":"1.0","canonical_sha256":"ebfc780fe6eaa075c73f9bb22239dbb2b6e646dd6b1cec5134b1bcf56588d416","source":{"kind":"arxiv","id":"1509.08212","version":2},"attestation_state":"computed","paper":{"title":"Optimization of Markov process violates detailed balance condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kazutaka Takahashi, Masayuki Ohzeki","submitted_at":"2015-09-28T06:45:42Z","abstract_excerpt":"We consider the optimization of Markovian dynamics to pursue the fastest convergence to the stationary state. The brachistochrone method is applied to the continuous-time master equation for finite-size systems. The principle of least action leads to a brachistochrone equation for the transition-rate matrix. Three-state systems are explicitly analyzed, and we find that the solution violates the detailed balance condition. The properties of the solution are studied in detail to observe the optimality of the solution. We also discuss the counterdiabatic driving for the Markovian dynamics. The tr"},"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":"1509.08212","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-28T06:45:42Z","cross_cats_sorted":[],"title_canon_sha256":"79b954d3e77643ab5b6af2b8f5df24278657f466b9ed82d30a10071b1bcf3c1b","abstract_canon_sha256":"f8a29438d3772c6540ac998056f1e0bea06b2cc76cffe2169145e09109ca83f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:16.767260Z","signature_b64":"Ls4h4hsmMJn6/5j5D522Q2OouxnzBb/SpqsS51rVgS+gM+CsOdQUDELRrkYVywlXqi1fUYZg7X6wnUD+Q5BfBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebfc780fe6eaa075c73f9bb22239dbb2b6e646dd6b1cec5134b1bcf56588d416","last_reissued_at":"2026-05-18T01:20:16.766680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:16.766680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimization of Markov process violates detailed balance condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kazutaka Takahashi, Masayuki Ohzeki","submitted_at":"2015-09-28T06:45:42Z","abstract_excerpt":"We consider the optimization of Markovian dynamics to pursue the fastest convergence to the stationary state. The brachistochrone method is applied to the continuous-time master equation for finite-size systems. The principle of least action leads to a brachistochrone equation for the transition-rate matrix. Three-state systems are explicitly analyzed, and we find that the solution violates the detailed balance condition. The properties of the solution are studied in detail to observe the optimality of the solution. We also discuss the counterdiabatic driving for the Markovian dynamics. The tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08212","kind":"arxiv","version":2},"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":"1509.08212","created_at":"2026-05-18T01:20:16.766771+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08212v2","created_at":"2026-05-18T01:20:16.766771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08212","created_at":"2026-05-18T01:20:16.766771+00:00"},{"alias_kind":"pith_short_12","alias_value":"5P6HQD7G5KQH","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5P6HQD7G5KQHLRZ7","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5P6HQD7G","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK","json":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK.json","graph_json":"https://pith.science/api/pith-number/5P6HQD7G5KQHLRZ7TOZCEOO3WK/graph.json","events_json":"https://pith.science/api/pith-number/5P6HQD7G5KQHLRZ7TOZCEOO3WK/events.json","paper":"https://pith.science/paper/5P6HQD7G"},"agent_actions":{"view_html":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK","download_json":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK.json","view_paper":"https://pith.science/paper/5P6HQD7G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08212&json=true","fetch_graph":"https://pith.science/api/pith-number/5P6HQD7G5KQHLRZ7TOZCEOO3WK/graph.json","fetch_events":"https://pith.science/api/pith-number/5P6HQD7G5KQHLRZ7TOZCEOO3WK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK/action/storage_attestation","attest_author":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK/action/author_attestation","sign_citation":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK/action/citation_signature","submit_replication":"https://pith.science/pith/5P6HQD7G5KQHLRZ7TOZCEOO3WK/action/replication_record"}},"created_at":"2026-05-18T01:20:16.766771+00:00","updated_at":"2026-05-18T01:20:16.766771+00:00"}