{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IOA7SAGTMOTJRLFPEZ5AR7O77V","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":"2aba58cabacce34651224d6f64ebdc82114d9f2ccd5cba9945f0cf4927b07a10","cross_cats_sorted":["nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-19T16:27:30Z","title_canon_sha256":"8fe80efb039c260b7fcf55ddfbdee784415d60c22b8050eb9eaa3acbaee6e995"},"schema_version":"1.0","source":{"id":"2506.16446","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16446","created_at":"2026-07-05T11:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16446v1","created_at":"2026-07-05T11:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16446","created_at":"2026-07-05T11:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"IOA7SAGTMOTJ","created_at":"2026-07-05T11:24:36Z"},{"alias_kind":"pith_short_16","alias_value":"IOA7SAGTMOTJRLFP","created_at":"2026-07-05T11:24:36Z"},{"alias_kind":"pith_short_8","alias_value":"IOA7SAGT","created_at":"2026-07-05T11:24:36Z"}],"graph_snapshots":[{"event_id":"sha256:8806dc8fbba7186633dac695a208056d79a0ec7b5d741fab7ff0098d2c28c40e","target":"graph","created_at":"2026-07-05T11:24:36Z","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/2506.16446/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The link between forced and free fluctuations for nonequilibrium systems can be described via a generalized version of the celebrated fluctuation-dissipation theorem. The use of the formalism of the Koopman operator makes it possible to deliver an intepretable form of the response operators written as a sum of exponentially decaying terms, each associated one-to-one with a mode of natural variability of the system. Here we showcase on a stochastically forced version of the celebrated Lorenz '63 model the feasibility and skill of such an approach by considering different Koopman dictionaries, w","authors_text":"John Moroney, Manuel Santos Gutierrez, Niccol\\`o Zagli, Valerio Lucarini","cross_cats":["nlin.CD","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-19T16:27:30Z","title":"A General Framework for Linking Free and Forced Fluctuations via Koopmanism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16446","kind":"arxiv","version":1},"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":"sha256:1c22be6f083dd3640b336e766781ba10a7033a51463f1424238fd1ba5c06f912","target":"record","created_at":"2026-07-05T11:24:36Z","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":"2aba58cabacce34651224d6f64ebdc82114d9f2ccd5cba9945f0cf4927b07a10","cross_cats_sorted":["nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-19T16:27:30Z","title_canon_sha256":"8fe80efb039c260b7fcf55ddfbdee784415d60c22b8050eb9eaa3acbaee6e995"},"schema_version":"1.0","source":{"id":"2506.16446","kind":"arxiv","version":1}},"canonical_sha256":"4381f900d363a698acaf267a08fddffd73d0924ed1c2ed688518c81d91bd38d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4381f900d363a698acaf267a08fddffd73d0924ed1c2ed688518c81d91bd38d9","first_computed_at":"2026-07-05T11:24:36.577410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:36.577410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ARKB+ALShiav5gJPXIY547vMW8fsIFtls1SJ9K3vh4Rwg+Z5mcXrRoil8iBJBbtbVXblgAConZA95dJej0lwDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:36.577931Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.16446","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c22be6f083dd3640b336e766781ba10a7033a51463f1424238fd1ba5c06f912","sha256:8806dc8fbba7186633dac695a208056d79a0ec7b5d741fab7ff0098d2c28c40e"],"state_sha256":"1b37f0090732ea0ceb9183d501efa6632560280838a8ebf380188130ba6a6033"}