{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JLGDWFTYIVTNIROQXAKPJ6CS7K","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":"471cabe24a70edcbf808ba66169d24494de900fc8fb85508bcdbe5fa12785bbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-08-03T16:16:43Z","title_canon_sha256":"7a54d3937270f91087796794ca7e798b8a92aea4a49fec49afd4d1be489957cd"},"schema_version":"1.0","source":{"id":"1108.0884","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0884","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0884v2","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0884","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"JLGDWFTYIVTN","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JLGDWFTYIVTNIROQ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JLGDWFTY","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:77d4de96dd2bb15ab43092fff7a566122a31c79f244ffbb927e76715d71e156d","target":"graph","created_at":"2026-05-18T03:45:21Z","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":"We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to the Kuramoto-Sivashinsky equation as a case study. We first focus on a regime close to the instability onset (primary bifurcation), where the system can be described by a single dominant mode. We show analytically that the resulting noise in the equation describing the amplitude of the dominant mode largely depends on the nature of the stochastic forcing. For a highly degenerate noise, in the sense that it is acting o","authors_text":"D. T. Papageorgiou, D. Tseluiko, G. A. Pavliotis, M. Pradas, S. Kalliadasis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-08-03T16:16:43Z","title":"Additive noise effects in active nonlinear spatially extended systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0884","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:e87fb71da0df322bfb58c5503fa17055d9ee4b77521a6dcde4873b1b60e1873c","target":"record","created_at":"2026-05-18T03:45:21Z","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":"471cabe24a70edcbf808ba66169d24494de900fc8fb85508bcdbe5fa12785bbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-08-03T16:16:43Z","title_canon_sha256":"7a54d3937270f91087796794ca7e798b8a92aea4a49fec49afd4d1be489957cd"},"schema_version":"1.0","source":{"id":"1108.0884","kind":"arxiv","version":2}},"canonical_sha256":"4acc3b16784566d445d0b814f4f852fa9d71479fed5d44dfed65be62ba93fe6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4acc3b16784566d445d0b814f4f852fa9d71479fed5d44dfed65be62ba93fe6a","first_computed_at":"2026-05-18T03:45:21.237609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:21.237609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JO/p/92/Bz2hcD287Nwnv3N46O8rJFvhYf7MamIQ9eLOx6IY7E0BSVrRibBxqTWuXOAerempApTvTXlmYREyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:21.238132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0884","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e87fb71da0df322bfb58c5503fa17055d9ee4b77521a6dcde4873b1b60e1873c","sha256:77d4de96dd2bb15ab43092fff7a566122a31c79f244ffbb927e76715d71e156d"],"state_sha256":"0bb872903fc0a6d2729d587bfdc42851461cf22cfd7b374c04bc96228796fedc"}