{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:TXBRWYETFFLH5VKXYDH7RWZDL6","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":"4889b8ca61bd814a00ae392ea154cca2a891b4488d66e9542a274828988a6405","cross_cats_sorted":["cond-mat","nlin.AO"],"license":"","primary_cat":"adap-org","submitted_at":"1996-02-05T21:25:09Z","title_canon_sha256":"1a14362839c34b76fa4d874e061977ba14d627e0ce0e8fdc65db9794725b1e6a"},"schema_version":"1.0","source":{"id":"adap-org/9602001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"adap-org/9602001","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"adap-org/9602001v1","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.adap-org/9602001","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"TXBRWYETFFLH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TXBRWYETFFLH5VKX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TXBRWYET","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:33ec84f214222ea6eaf46df22fcc68c4beeb20839dc6bbbc6ec4fd2917280208","target":"graph","created_at":"2026-05-18T01:08:59Z","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":"The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero range of parameter values over which the susceptibility is infinite in any dimension. A scaling theory of the strong-coupling transition is constructed.","authors_text":"G. Grinstein, M.A. Mu\\~noz, Yuhai Tu","cross_cats":["cond-mat","nlin.AO"],"headline":"","license":"","primary_cat":"adap-org","submitted_at":"1996-02-05T21:25:09Z","title":"Phase Structure of Systems with Multiplicative Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"adap-org/9602001","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":"sha256:6c20efef942b7491200cc7317858f7cbfcd20c56450039e49eee8f0165c41945","target":"record","created_at":"2026-05-18T01:08:59Z","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":"4889b8ca61bd814a00ae392ea154cca2a891b4488d66e9542a274828988a6405","cross_cats_sorted":["cond-mat","nlin.AO"],"license":"","primary_cat":"adap-org","submitted_at":"1996-02-05T21:25:09Z","title_canon_sha256":"1a14362839c34b76fa4d874e061977ba14d627e0ce0e8fdc65db9794725b1e6a"},"schema_version":"1.0","source":{"id":"adap-org/9602001","kind":"arxiv","version":1}},"canonical_sha256":"9dc31b609329567ed557c0cff8db235f9826be03f1b8aca0fb5966a8ff556b7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dc31b609329567ed557c0cff8db235f9826be03f1b8aca0fb5966a8ff556b7d","first_computed_at":"2026-05-18T01:08:59.246289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:59.246289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDvaCBeAyvPrb/1Lu0m0Y42LiS9V6AB120Mz+lXZbh1I2K8WEGpqGNiIP8Bmlj4WhwqxiwrBvAZ57nyqQOlIDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:59.246795Z","signed_message":"canonical_sha256_bytes"},"source_id":"adap-org/9602001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c20efef942b7491200cc7317858f7cbfcd20c56450039e49eee8f0165c41945","sha256:33ec84f214222ea6eaf46df22fcc68c4beeb20839dc6bbbc6ec4fd2917280208"],"state_sha256":"3d4e8c31096200c2f4e656e59f3b50391c7283a4452ede2365a903f9aaaecf02"}