{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VZ3SKDGZWGRMOI4UMWLRMKFEJP","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":"84d13345000d2fe74ae987e2e7aef9fd2b64515b9cee80a9ef0074bbe7f46b2c","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-17T10:49:43Z","title_canon_sha256":"246ddc50ca396be4d2cc2c9a4a0478b9a00e57ca66b7c03c5fdbd6bff9472408"},"schema_version":"1.0","source":{"id":"1007.2917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2917","created_at":"2026-05-18T02:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2917v1","created_at":"2026-05-18T02:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2917","created_at":"2026-05-18T02:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"VZ3SKDGZWGRM","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VZ3SKDGZWGRMOI4U","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VZ3SKDGZ","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:9632db0be3eb89efc3822b5bf74130c875fa3cd2ff0dc37a3bd5a725068df98c","target":"graph","created_at":"2026-05-18T02:06:21Z","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":"Non-ergodic renewal processes have recently been shown by several authors to be insensitive to periodic perturbations, thereby apparently sanctioning the death of linear response, a building block of nonequilibrium statistical physics. We show that it is possible to go beyond the ``death of linear response\" and establish a permanent correlation between an external stimulus and the response of a complex network generating non-ergodic renewal processes, by taking as stimulus a similar non-ergodic process. The ideal condition of 1/f-noise corresponds to a singularity that is expected to be releva","authors_text":"Bruce J. West, Gerardo Aquino, Mauro Bologna, Paolo Grigolini","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-17T10:49:43Z","title":"Beyond the Death of Linear Response: 1/f optimal information transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2917","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:a08c479157c9d1b53e3d730c51de09b9bba984834cbf59113eae6d1e0695c225","target":"record","created_at":"2026-05-18T02:06:21Z","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":"84d13345000d2fe74ae987e2e7aef9fd2b64515b9cee80a9ef0074bbe7f46b2c","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-17T10:49:43Z","title_canon_sha256":"246ddc50ca396be4d2cc2c9a4a0478b9a00e57ca66b7c03c5fdbd6bff9472408"},"schema_version":"1.0","source":{"id":"1007.2917","kind":"arxiv","version":1}},"canonical_sha256":"ae77250cd9b1a2c7239465971628a44bce0de9efe3fff2ad5c311e0232fae92b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae77250cd9b1a2c7239465971628a44bce0de9efe3fff2ad5c311e0232fae92b","first_computed_at":"2026-05-18T02:06:21.047981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:21.047981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bGzSiEZCZPWc4XA52g9ByfIaNayo9Km4SAtJx18b2hhyOwzpdNMDm38lHvJzIgXdked1v5h1BO42LIvZiROzCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:21.048715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a08c479157c9d1b53e3d730c51de09b9bba984834cbf59113eae6d1e0695c225","sha256:9632db0be3eb89efc3822b5bf74130c875fa3cd2ff0dc37a3bd5a725068df98c"],"state_sha256":"6552658b4c8df114f6e95cbe8c8146a3be9655030c2437673e5e7161d91d2f5b"}