{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:KZ4ZPMHNWCPMNEPAYTBTREXQMS","short_pith_number":"pith:KZ4ZPMHN","schema_version":"1.0","canonical_sha256":"567997b0edb09ec691e0c4c33892f064a4f3177aa934b529ca198927e71bc6d3","source":{"kind":"arxiv","id":"2108.11110","version":1},"attestation_state":"computed","paper":{"title":"A topological fluctuation theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Beno\\^it Mahault, Evelyn Tang, Ramin Golestanian","submitted_at":"2021-08-25T08:23:51Z","abstract_excerpt":"Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production. Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protect"},"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":"2108.11110","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-08-25T08:23:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4dd13ed686bd6a47b463163235f3eeb7cb7db6fab1ea93321a15e35f93a23901","abstract_canon_sha256":"f4f7f26fd172adcf89ce25024bebb6f2fdbcbd27c55e13cb220855846ee9af72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:37:18.053044Z","signature_b64":"DNmsYSgSKujqVdNU6K9vtwH10zlzvor8+8h7Akujg43zCnZaHmVU8Jobj27WW/jhVDVurgHemMCxpebRC/6xBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"567997b0edb09ec691e0c4c33892f064a4f3177aa934b529ca198927e71bc6d3","last_reissued_at":"2026-07-05T04:37:18.052549Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:37:18.052549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A topological fluctuation theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Beno\\^it Mahault, Evelyn Tang, Ramin Golestanian","submitted_at":"2021-08-25T08:23:51Z","abstract_excerpt":"Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production. Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11110","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/2108.11110/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":"2108.11110","created_at":"2026-07-05T04:37:18.052617+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.11110v1","created_at":"2026-07-05T04:37:18.052617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11110","created_at":"2026-07-05T04:37:18.052617+00:00"},{"alias_kind":"pith_short_12","alias_value":"KZ4ZPMHNWCPM","created_at":"2026-07-05T04:37:18.052617+00:00"},{"alias_kind":"pith_short_16","alias_value":"KZ4ZPMHNWCPMNEPA","created_at":"2026-07-05T04:37:18.052617+00:00"},{"alias_kind":"pith_short_8","alias_value":"KZ4ZPMHN","created_at":"2026-07-05T04:37:18.052617+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/KZ4ZPMHNWCPMNEPAYTBTREXQMS","json":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS.json","graph_json":"https://pith.science/api/pith-number/KZ4ZPMHNWCPMNEPAYTBTREXQMS/graph.json","events_json":"https://pith.science/api/pith-number/KZ4ZPMHNWCPMNEPAYTBTREXQMS/events.json","paper":"https://pith.science/paper/KZ4ZPMHN"},"agent_actions":{"view_html":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS","download_json":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS.json","view_paper":"https://pith.science/paper/KZ4ZPMHN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.11110&json=true","fetch_graph":"https://pith.science/api/pith-number/KZ4ZPMHNWCPMNEPAYTBTREXQMS/graph.json","fetch_events":"https://pith.science/api/pith-number/KZ4ZPMHNWCPMNEPAYTBTREXQMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS/action/storage_attestation","attest_author":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS/action/author_attestation","sign_citation":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS/action/citation_signature","submit_replication":"https://pith.science/pith/KZ4ZPMHNWCPMNEPAYTBTREXQMS/action/replication_record"}},"created_at":"2026-07-05T04:37:18.052617+00:00","updated_at":"2026-07-05T04:37:18.052617+00:00"}