{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:KCXIUHCEC2VP6LRHR2QYPFZHRF","short_pith_number":"pith:KCXIUHCE","schema_version":"1.0","canonical_sha256":"50ae8a1c4416aaff2e278ea1879727897dccfbc78a7dae7431645c1ab98fc800","source":{"kind":"arxiv","id":"2406.17966","version":2},"attestation_state":"computed","paper":{"title":"Discrete-time thermodynamic speed limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jae Sung Lee, Jong-Min Park, Sangyun Lee","submitted_at":"2024-06-25T22:49:14Z","abstract_excerpt":"As a fundamental thermodynamic principle, speed limits reveal the lower bound of entropy production (EP) required for a system to transition from a given initial state to a final state. While various speed limits have been developed for continuous-time Markov processes, their application to discrete-time Markov chains remains unexplored. In this study, we investigate the speed limits in discrete-time Markov chains, focusing on two types of EP commonly used to measure the irreversibility of a discrete-time process: time-reversed EP and time-backward EP. We find that time-reversed EP satisfies t"},"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":"2406.17966","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-25T22:49:14Z","cross_cats_sorted":[],"title_canon_sha256":"e53392158ae8d3a0a64b63a9e8a712da55d65e6140232991ce1fc9fca4f111cc","abstract_canon_sha256":"652621f887c1f9153fb5a1b93c2a3562b0c15b5e9f9ae7b3ddfb9718b859aba5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:01.756383Z","signature_b64":"KkrfQvvJVvYQUnDsMqpLhDUfbWUPSIubucVuW4HyZDM7fGXxhAPuvsOo3tMUKgh2JpwS4+Fi9kW4+5yYGD2ODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50ae8a1c4416aaff2e278ea1879727897dccfbc78a7dae7431645c1ab98fc800","last_reissued_at":"2026-07-05T11:33:01.755872Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:01.755872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrete-time thermodynamic speed limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jae Sung Lee, Jong-Min Park, Sangyun Lee","submitted_at":"2024-06-25T22:49:14Z","abstract_excerpt":"As a fundamental thermodynamic principle, speed limits reveal the lower bound of entropy production (EP) required for a system to transition from a given initial state to a final state. While various speed limits have been developed for continuous-time Markov processes, their application to discrete-time Markov chains remains unexplored. In this study, we investigate the speed limits in discrete-time Markov chains, focusing on two types of EP commonly used to measure the irreversibility of a discrete-time process: time-reversed EP and time-backward EP. We find that time-reversed EP satisfies t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.17966","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.17966/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2406.17966","created_at":"2026-07-05T11:33:01.755932+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.17966v2","created_at":"2026-07-05T11:33:01.755932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.17966","created_at":"2026-07-05T11:33:01.755932+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCXIUHCEC2VP","created_at":"2026-07-05T11:33:01.755932+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCXIUHCEC2VP6LRH","created_at":"2026-07-05T11:33:01.755932+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCXIUHCE","created_at":"2026-07-05T11:33:01.755932+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/KCXIUHCEC2VP6LRHR2QYPFZHRF","json":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF.json","graph_json":"https://pith.science/api/pith-number/KCXIUHCEC2VP6LRHR2QYPFZHRF/graph.json","events_json":"https://pith.science/api/pith-number/KCXIUHCEC2VP6LRHR2QYPFZHRF/events.json","paper":"https://pith.science/paper/KCXIUHCE"},"agent_actions":{"view_html":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF","download_json":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF.json","view_paper":"https://pith.science/paper/KCXIUHCE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.17966&json=true","fetch_graph":"https://pith.science/api/pith-number/KCXIUHCEC2VP6LRHR2QYPFZHRF/graph.json","fetch_events":"https://pith.science/api/pith-number/KCXIUHCEC2VP6LRHR2QYPFZHRF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF/action/storage_attestation","attest_author":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF/action/author_attestation","sign_citation":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF/action/citation_signature","submit_replication":"https://pith.science/pith/KCXIUHCEC2VP6LRHR2QYPFZHRF/action/replication_record"}},"created_at":"2026-07-05T11:33:01.755932+00:00","updated_at":"2026-07-05T11:33:01.755932+00:00"}