{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JNXDZZFCYSKRQZH7PBXNOJRCEZ","short_pith_number":"pith:JNXDZZFC","schema_version":"1.0","canonical_sha256":"4b6e3ce4a2c4951864ff786ed72622264338f197f51152492da0956e0a789a27","source":{"kind":"arxiv","id":"2407.01243","version":1},"attestation_state":"computed","paper":{"title":"Fluctuation-optimization theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Pierre Naz\\'e","submitted_at":"2024-07-01T12:39:40Z","abstract_excerpt":"A fluctuation theorem relating the work to its optimal average work is presented. The function mediating the relation is increasing and convex, and depends on the switching time $\\tau$, driving strength $\\delta\\lambda/\\lambda_0$, and protocol $g(t)$. The result is corroborated by an example of an overdamped white noise Brownian motion subjected to a moving laser harmonic trap. Observing also that the fluctuation-optimization theorem is an Euler-Lagrange equation, I conclude that the function minimizing $\\langle h(-\\beta W)\\rangle$ obeys the relation proposed. The optimal work can now be calcul"},"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":"2407.01243","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-07-01T12:39:40Z","cross_cats_sorted":[],"title_canon_sha256":"d5220bfe7c3094dd556e1a6146e653aa57cb28c52a3258edc7db365337452a06","abstract_canon_sha256":"857c918a7e026d71a18b31f3762d3b8081d86f1722dfffc5efc63ce02451a1f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:45.022523Z","signature_b64":"gTToFa8/bOBBnEMPtIcjZt5aRnn5AvrAOD6YF6Zdxb8IkCs0XFEPDOoC0CGTGvKWEfXu2OUbIgucq22JCUduCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b6e3ce4a2c4951864ff786ed72622264338f197f51152492da0956e0a789a27","last_reissued_at":"2026-07-05T08:38:45.022075Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:45.022075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuation-optimization theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Pierre Naz\\'e","submitted_at":"2024-07-01T12:39:40Z","abstract_excerpt":"A fluctuation theorem relating the work to its optimal average work is presented. The function mediating the relation is increasing and convex, and depends on the switching time $\\tau$, driving strength $\\delta\\lambda/\\lambda_0$, and protocol $g(t)$. The result is corroborated by an example of an overdamped white noise Brownian motion subjected to a moving laser harmonic trap. Observing also that the fluctuation-optimization theorem is an Euler-Lagrange equation, I conclude that the function minimizing $\\langle h(-\\beta W)\\rangle$ obeys the relation proposed. The optimal work can now be calcul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.01243","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.01243/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":"2407.01243","created_at":"2026-07-05T08:38:45.022142+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.01243v1","created_at":"2026-07-05T08:38:45.022142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.01243","created_at":"2026-07-05T08:38:45.022142+00:00"},{"alias_kind":"pith_short_12","alias_value":"JNXDZZFCYSKR","created_at":"2026-07-05T08:38:45.022142+00:00"},{"alias_kind":"pith_short_16","alias_value":"JNXDZZFCYSKRQZH7","created_at":"2026-07-05T08:38:45.022142+00:00"},{"alias_kind":"pith_short_8","alias_value":"JNXDZZFC","created_at":"2026-07-05T08:38:45.022142+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/JNXDZZFCYSKRQZH7PBXNOJRCEZ","json":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ.json","graph_json":"https://pith.science/api/pith-number/JNXDZZFCYSKRQZH7PBXNOJRCEZ/graph.json","events_json":"https://pith.science/api/pith-number/JNXDZZFCYSKRQZH7PBXNOJRCEZ/events.json","paper":"https://pith.science/paper/JNXDZZFC"},"agent_actions":{"view_html":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ","download_json":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ.json","view_paper":"https://pith.science/paper/JNXDZZFC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.01243&json=true","fetch_graph":"https://pith.science/api/pith-number/JNXDZZFCYSKRQZH7PBXNOJRCEZ/graph.json","fetch_events":"https://pith.science/api/pith-number/JNXDZZFCYSKRQZH7PBXNOJRCEZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ/action/storage_attestation","attest_author":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ/action/author_attestation","sign_citation":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ/action/citation_signature","submit_replication":"https://pith.science/pith/JNXDZZFCYSKRQZH7PBXNOJRCEZ/action/replication_record"}},"created_at":"2026-07-05T08:38:45.022142+00:00","updated_at":"2026-07-05T08:38:45.022142+00:00"}