{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:TI337ZVD27WVIJOUFSPDLLPGYJ","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":"590030c4b8dc834f67f758859b1f7bae0550afbf131d348af2a7d9f0873dfc48","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"cond-mat","submitted_at":"1992-11-20T11:52:12Z","title_canon_sha256":"dc12b3acf8036980dadea93b99fddad531a41553cac4c0bb32a3b80c81812c25"},"schema_version":"1.0","source":{"id":"cond-mat/9211012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9211012","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9211012v1","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9211012","created_at":"2026-05-18T02:40:19Z"},{"alias_kind":"pith_short_12","alias_value":"TI337ZVD27WV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"TI337ZVD27WVIJOU","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"TI337ZVD","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b085a47b17661b194d3cd7faab43db86ec1968f307fb997b8456c66f88419133","target":"graph","created_at":"2026-05-18T02:40:19Z","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":"We review recent numerical studies and the phenomenology of spatially synchronized collective states in many-body dynamical systems. These states exhibit thermodynamic noise superimposed on the collective, quasiperiodic order parameter evolution with typically one basic irrational frequency. We concentrate on the description of the global temporal properties in terms of second-order difference equations.","authors_text":"P.-M. Binder, V. Privman","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1992-11-20T11:52:12Z","title":"Second-Order Dynamics in the Collective Evolution of Coupled Maps and Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9211012","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":"sha256:5dc8a13c06921603b76331c2317fc8776fbf4d4a41f24c7f1dad2847f790a1a3","target":"record","created_at":"2026-05-18T02:40:19Z","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":"590030c4b8dc834f67f758859b1f7bae0550afbf131d348af2a7d9f0873dfc48","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"cond-mat","submitted_at":"1992-11-20T11:52:12Z","title_canon_sha256":"dc12b3acf8036980dadea93b99fddad531a41553cac4c0bb32a3b80c81812c25"},"schema_version":"1.0","source":{"id":"cond-mat/9211012","kind":"arxiv","version":1}},"canonical_sha256":"9a37bfe6a3d7ed5425d42c9e35ade6c250ced21d36e824e408122c15ba7883f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a37bfe6a3d7ed5425d42c9e35ade6c250ced21d36e824e408122c15ba7883f6","first_computed_at":"2026-05-18T02:40:19.292531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:19.292531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yk2ACDIl7upN1CE8JGXQDO4tNrL1xu3RP7JkTAf/bQIvTjx3o2z+gyBdQnOURCBdtEYCzVfOky+DrfB7PxhBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:19.293075Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9211012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dc8a13c06921603b76331c2317fc8776fbf4d4a41f24c7f1dad2847f790a1a3","sha256:b085a47b17661b194d3cd7faab43db86ec1968f307fb997b8456c66f88419133"],"state_sha256":"ab8f48714a667d8f81e34ce3082d3d9818d0e1f61c8e42ae682a71380b7de7b9"}