{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HXP6IUW4CIZVNG6SEX6BZPJ27R","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":"7c087f83db8e00384bf6453ca926051cb8922abe276ddad98ba0203f066a30a1","cross_cats_sorted":["math.DS","nlin.CD","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-09T01:03:46Z","title_canon_sha256":"144ae118e57c71182b6f70b359466064c084e1f764d7b5da03a455147ec1646f"},"schema_version":"1.0","source":{"id":"1702.02666","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02666","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02666v3","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02666","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"HXP6IUW4CIZV","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"HXP6IUW4CIZVNG6S","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"HXP6IUW4","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:231b893ce691e93ee8b8cc6f068a5bedaf2fff43606bf6aa32edc4aa2ee00dad","target":"graph","created_at":"2026-05-18T00:35:23Z","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"},"paper":{"abstract_excerpt":"Predicting the response of a system to perturbations is a key challenge in mathematical and natural sciences. Under suitable conditions on the nature of the system, of the perturbation, and of the observables of interest, response theories allow to construct operators describing the smooth change of the invariant measure of the system of interest as a function of the small parameter controlling the intensity of the perturbation. In particular, response theories can be developed both for stochastic and chaotic deterministic dynamical systems, where in the latter case stricter conditions imposin","authors_text":"Jeroen Wouters, Valerio Lucarini","cross_cats":["math.DS","nlin.CD","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-09T01:03:46Z","title":"Response Formulae for $n$-point Correlations in Statistical Mechanical Systems and Application to a Problem of Coarse Graining"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02666","kind":"arxiv","version":3},"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:c5269ba9bfe28a54a5d41b63884903b9e019f83883a4382b482336a1b491fa99","target":"record","created_at":"2026-05-18T00:35:23Z","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":"7c087f83db8e00384bf6453ca926051cb8922abe276ddad98ba0203f066a30a1","cross_cats_sorted":["math.DS","nlin.CD","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-09T01:03:46Z","title_canon_sha256":"144ae118e57c71182b6f70b359466064c084e1f764d7b5da03a455147ec1646f"},"schema_version":"1.0","source":{"id":"1702.02666","kind":"arxiv","version":3}},"canonical_sha256":"3ddfe452dc1233569bd225fc1cbd3afc7c8f7df230e2318970c3f776cd5b4d5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ddfe452dc1233569bd225fc1cbd3afc7c8f7df230e2318970c3f776cd5b4d5f","first_computed_at":"2026-05-18T00:35:23.665499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:23.665499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/bl557OTbg47Zr648TW9uJsN8M5LZw2J+em8qzPjCRPIPsvo/DAT5zDh7WKHFc3bKgxp4shb3PxyHmZLJvioCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:23.666120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02666","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5269ba9bfe28a54a5d41b63884903b9e019f83883a4382b482336a1b491fa99","sha256:231b893ce691e93ee8b8cc6f068a5bedaf2fff43606bf6aa32edc4aa2ee00dad"],"state_sha256":"89a9b17de91c2a13cedc70f54d2219dc28febd6759c507b51087f93bcd09a5b6"}