{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TI5MK3HBUJVCAXL6MT6KIJ2Q25","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":"fd713b86d925b1e88daffcbf44f1e84548f8a85911aa92269b43493d0eb552a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-11-25T18:21:57Z","title_canon_sha256":"975e9477aeb839e9c5b81e76c5173542be9becd5e406d58cec2ee222ec2dfd17"},"schema_version":"1.0","source":{"id":"1511.08140","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08140","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08140v2","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08140","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"pith_short_12","alias_value":"TI5MK3HBUJVC","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TI5MK3HBUJVCAXL6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TI5MK3HB","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:8bce05368736fe3094f88e1075108e39b882d75e7b43344992096ff18d7b3140","target":"graph","created_at":"2026-05-18T01:12:49Z","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":"Linear response theory, the backbone of non-equilibrium statistical physics, has recently been extended to explain how and why non-ergodic renewal processes are insensitive to simple perturbations, such as in habituation. It was established that a permanent correlation resulted between an external stimulus and the response of a complex system generating non-ergodic renewal processes, when the stimulus is a similar non-ergodic process. This is the principle of complexity management, whose proof relies on ensemble distribution functions. Herein we extend the proof to the non-ergodic case using t","authors_text":"Bruce West, David Lambert, Mauro Bologna, Nicola Piccinini, Paolo Grigolini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-11-25T18:21:57Z","title":"Non-Ergodic Complexity Management"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08140","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:c507f2e4750ccdd71e2b2809558012533ca2ca026c063d1f26eaa1be057f6609","target":"record","created_at":"2026-05-18T01:12:49Z","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":"fd713b86d925b1e88daffcbf44f1e84548f8a85911aa92269b43493d0eb552a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-11-25T18:21:57Z","title_canon_sha256":"975e9477aeb839e9c5b81e76c5173542be9becd5e406d58cec2ee222ec2dfd17"},"schema_version":"1.0","source":{"id":"1511.08140","kind":"arxiv","version":2}},"canonical_sha256":"9a3ac56ce1a26a205d7e64fca42750d768940a1c2197dfcf276501fbad31d492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a3ac56ce1a26a205d7e64fca42750d768940a1c2197dfcf276501fbad31d492","first_computed_at":"2026-05-18T01:12:49.429082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:49.429082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jtGMYcm+oLKBa2CfdqJlDcNHqto0MD84JLJjfknRIPYkBv2mfjToda1MUDkmih3HIvKdWL6aNubjnTF3GoWSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:49.429553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.08140","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c507f2e4750ccdd71e2b2809558012533ca2ca026c063d1f26eaa1be057f6609","sha256:8bce05368736fe3094f88e1075108e39b882d75e7b43344992096ff18d7b3140"],"state_sha256":"8172b51310032ea03482ab6bfe8b3b5356f6f1fc32d290f2fc20268b2cafc82f"}