{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:W43OVG72H5XX2H7JGTPBENJP44","short_pith_number":"pith:W43OVG72","schema_version":"1.0","canonical_sha256":"b736ea9bfa3f6f7d1fe934de12352fe70e238b864800df9cc13c4a3e5e77d5c1","source":{"kind":"arxiv","id":"1210.3042","version":1},"attestation_state":"computed","paper":{"title":"Large deviation function for the entropy production: Optimal trajectory and role of fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andreas Engel, Thomas Speck, Udo Seifert","submitted_at":"2012-10-10T20:09:30Z","abstract_excerpt":"We study the large deviation function for the entropy production rate in two driven one-dimensional systems: the asymmetric random walk on a discrete lattice and Brownian motion in a continuous periodic potential. We compare two approaches: the Donsker-Varadhan theory and the Freidlin-Wentzell theory. We show that the wings of the large deviation function are dominated by a single optimal trajectory: either in forward (positive rate) or in backward direction (negative rate). The joining of both branches at zero entropy production implies a non-differentiability and thus the appearance of a \"ki"},"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":"1210.3042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-10T20:09:30Z","cross_cats_sorted":[],"title_canon_sha256":"4afc2b37cbe1fb72706a5462ecb44f698023c9e6db3d78e9e8dff111eed53682","abstract_canon_sha256":"52ec0ac0aaaac99eb9ae2df2c25bdd3be34d72f5a0e3c1b13b54c9a65100c16f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:06.250505Z","signature_b64":"/+47x+/yI8rrkRgtF9g8Lpv79vje2AP/PEmsHDD4gy5JzqU6ldsa1DUEHcM/USjOPAo1p8xEA3pwSi4EEDvHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b736ea9bfa3f6f7d1fe934de12352fe70e238b864800df9cc13c4a3e5e77d5c1","last_reissued_at":"2026-05-18T03:36:06.249927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:06.249927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviation function for the entropy production: Optimal trajectory and role of fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andreas Engel, Thomas Speck, Udo Seifert","submitted_at":"2012-10-10T20:09:30Z","abstract_excerpt":"We study the large deviation function for the entropy production rate in two driven one-dimensional systems: the asymmetric random walk on a discrete lattice and Brownian motion in a continuous periodic potential. We compare two approaches: the Donsker-Varadhan theory and the Freidlin-Wentzell theory. We show that the wings of the large deviation function are dominated by a single optimal trajectory: either in forward (positive rate) or in backward direction (negative rate). The joining of both branches at zero entropy production implies a non-differentiability and thus the appearance of a \"ki"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3042","kind":"arxiv","version":1},"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":"1210.3042","created_at":"2026-05-18T03:36:06.250000+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3042v1","created_at":"2026-05-18T03:36:06.250000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3042","created_at":"2026-05-18T03:36:06.250000+00:00"},{"alias_kind":"pith_short_12","alias_value":"W43OVG72H5XX","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"W43OVG72H5XX2H7J","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"W43OVG72","created_at":"2026-05-18T12:27:25.539911+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/W43OVG72H5XX2H7JGTPBENJP44","json":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44.json","graph_json":"https://pith.science/api/pith-number/W43OVG72H5XX2H7JGTPBENJP44/graph.json","events_json":"https://pith.science/api/pith-number/W43OVG72H5XX2H7JGTPBENJP44/events.json","paper":"https://pith.science/paper/W43OVG72"},"agent_actions":{"view_html":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44","download_json":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44.json","view_paper":"https://pith.science/paper/W43OVG72","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3042&json=true","fetch_graph":"https://pith.science/api/pith-number/W43OVG72H5XX2H7JGTPBENJP44/graph.json","fetch_events":"https://pith.science/api/pith-number/W43OVG72H5XX2H7JGTPBENJP44/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44/action/storage_attestation","attest_author":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44/action/author_attestation","sign_citation":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44/action/citation_signature","submit_replication":"https://pith.science/pith/W43OVG72H5XX2H7JGTPBENJP44/action/replication_record"}},"created_at":"2026-05-18T03:36:06.250000+00:00","updated_at":"2026-05-18T03:36:06.250000+00:00"}