{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2G34Z445FAGT2T4EAD6CWWX6NR","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":"e07d6020e68574e3bc47521a5d303c26cf40a98595739dd04fc5dd88c5f04c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-01T14:29:08Z","title_canon_sha256":"504d95ec91ab7d8650b7b38f043491cf84a8df753ba3881ae31c90764cc38c3c"},"schema_version":"1.0","source":{"id":"1705.00541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00541","created_at":"2026-05-18T00:45:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00541v1","created_at":"2026-05-18T00:45:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00541","created_at":"2026-05-18T00:45:16Z"},{"alias_kind":"pith_short_12","alias_value":"2G34Z445FAGT","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2G34Z445FAGT2T4E","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2G34Z445","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:d47acaf2a03fb4d7bf69dafb2fcb194de5b8e6ff09b113f1cbad3b018270742d","target":"graph","created_at":"2026-05-18T00:45:16Z","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 are dealing with the validity of a large deviation principle for a class of reaction-diffusion equations with polynomial nonlinearity, perturbed by a Gaussian random forcing. We are here interested in the regime where both the strength of the noise and its correlation are vanishing, on a length scale $\\epsilon$ and $\\delta(\\epsilon)$, respectively, with $0<\\epsilon,\\delta(\\epsilon)<<1$. We prove that, under the assumption that $\\epsilon$ and $\\delta(\\epsilon)$ satisfy a suitable scaling limit, a large deviation principle holds in the space of continuous trajectories with values both in the ","authors_text":"Arnaud Debussche, Sandra Cerrai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-01T14:29:08Z","title":"Large deviations for the dynamic $\\Phi^{2n}_d$ model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00541","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:a6b6379732c8e4eb0ea37facd1a94151392851dd024a6f30bc562a6c4c7507f8","target":"record","created_at":"2026-05-18T00:45:16Z","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":"e07d6020e68574e3bc47521a5d303c26cf40a98595739dd04fc5dd88c5f04c00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-01T14:29:08Z","title_canon_sha256":"504d95ec91ab7d8650b7b38f043491cf84a8df753ba3881ae31c90764cc38c3c"},"schema_version":"1.0","source":{"id":"1705.00541","kind":"arxiv","version":1}},"canonical_sha256":"d1b7ccf39d280d3d4f8400fc2b5afe6c7c25bd635615742d5e7c15a65eaef6f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1b7ccf39d280d3d4f8400fc2b5afe6c7c25bd635615742d5e7c15a65eaef6f8","first_computed_at":"2026-05-18T00:45:16.953716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:16.953716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CzPmvHuF9NNSh3SvXViI4X7+Z3nbWEQcQsPWgpvHpuCSV25eUucO8bJRdxS4nC0p019fE1fkFwYqDtEBmrjWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:16.954407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6b6379732c8e4eb0ea37facd1a94151392851dd024a6f30bc562a6c4c7507f8","sha256:d47acaf2a03fb4d7bf69dafb2fcb194de5b8e6ff09b113f1cbad3b018270742d"],"state_sha256":"011e64f0b44925a718bc9b092888ac04357719b41b67df2445c4de1d73bde2ed"}