{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:77MJRAPTSXO4LRGECTLQ2KIWCO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"39dedfe7985143536e482d3db6368279fe4195e6911a15984d72e4b781a4bb56","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-10-14T12:56:49Z","title_canon_sha256":"9ed7509782c3df6909539fe2d273e761d61e554ebfbf0432e30d2bf2cb43f46f"},"schema_version":"1.0","source":{"id":"2110.07325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.07325","created_at":"2026-07-05T03:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"2110.07325v2","created_at":"2026-07-05T03:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.07325","created_at":"2026-07-05T03:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"77MJRAPTSXO4","created_at":"2026-07-05T03:47:54Z"},{"alias_kind":"pith_short_16","alias_value":"77MJRAPTSXO4LRGE","created_at":"2026-07-05T03:47:54Z"},{"alias_kind":"pith_short_8","alias_value":"77MJRAPT","created_at":"2026-07-05T03:47:54Z"}],"graph_snapshots":[{"event_id":"sha256:f13a73ecc408c27567bf060d4ab56d3f5113c44c5c911c2110cdf862a8dda395","target":"graph","created_at":"2026-07-05T03:47:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.07325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The calculation of observable averages in non-equilibrium regimes is one of the most important problems in statistical physics. Using the Hamiltonian approach of nonlinear response theory, we obtain a series expansion of the average excess work and illustrate it with specific examples of thermally isolated systems. We report the emergence of non-vanishing contributions for large switching times when the system is subjected to strong driving. The problem is solved by using an adapted multiple-scale method to suppress these secular terms. Our paradigmatic examples show how the method is implemen","authors_text":"Marcus V. S. Bonan\\c{c}a, Pierre Naz\\'e","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-10-14T12:56:49Z","title":"Series expansion of the excess work using nonlinear response theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.07325","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:90fdec8bddee509f2607a3626213a7e2854e3f4ea81088b411eab35b7b96617b","target":"record","created_at":"2026-07-05T03:47:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"39dedfe7985143536e482d3db6368279fe4195e6911a15984d72e4b781a4bb56","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-10-14T12:56:49Z","title_canon_sha256":"9ed7509782c3df6909539fe2d273e761d61e554ebfbf0432e30d2bf2cb43f46f"},"schema_version":"1.0","source":{"id":"2110.07325","kind":"arxiv","version":2}},"canonical_sha256":"ffd89881f395ddc5c4c414d70d291613a274f8311612ecb17dec6678171b5ea4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffd89881f395ddc5c4c414d70d291613a274f8311612ecb17dec6678171b5ea4","first_computed_at":"2026-07-05T03:47:54.468149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:47:54.468149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4PjAbJyuWPvp+JLW44DsifHZG3nnmdiAJ5lKe59hSpfJQvA0pqS1Gn/rM6bcshObPBQB3EODacQ+ViTqZEMrBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:47:54.468586Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.07325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90fdec8bddee509f2607a3626213a7e2854e3f4ea81088b411eab35b7b96617b","sha256:f13a73ecc408c27567bf060d4ab56d3f5113c44c5c911c2110cdf862a8dda395"],"state_sha256":"563eb596a74fcd0fe3a81ca1f0721074459da28a0e77f7344c9d948b70d5ef1a"}