{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6IZNPW22HA4EVUZSU7W42LC2BW","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":"424e17c2f95579db9c89b24caf8f5a00c4d8a11a4c17a8d7fb9961713a6241ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-13T03:49:38Z","title_canon_sha256":"99bf116583d98b0b45e08d5b791b0aee48b1e33905f5cf8a5e93b2c37668df33"},"schema_version":"1.0","source":{"id":"1510.03522","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03522","created_at":"2026-05-18T01:30:16Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03522v1","created_at":"2026-05-18T01:30:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03522","created_at":"2026-05-18T01:30:16Z"},{"alias_kind":"pith_short_12","alias_value":"6IZNPW22HA4E","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6IZNPW22HA4EVUZS","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6IZNPW22","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:e7030bd004bc14158402c227dc978198c77a62c8aa8b9aa4b7d9af232ddc9991","target":"graph","created_at":"2026-05-18T01:30:16Z","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 establish a large deviation principle for the occupation measure of the stochastic real Ginzburg-Landau equation driven by $\\alpha$-stable noises. The proof is based on a hyper-exponential recurrence criterion. Our result indicates a phenomenon that strong dissipation beats heavy tailed noises to produce a large deviation, it seems to us that this phenomenon has not been reported in the known literatures.","authors_text":"Jie Xiong, Lihu Xu, Ran Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-13T03:49:38Z","title":"Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by $\\alpha$-stable noises"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03522","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:b8d677d89de498a0c55150a141a83ae6790a216b27bc0643884b0eedfbfba33d","target":"record","created_at":"2026-05-18T01:30:16Z","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":"424e17c2f95579db9c89b24caf8f5a00c4d8a11a4c17a8d7fb9961713a6241ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-13T03:49:38Z","title_canon_sha256":"99bf116583d98b0b45e08d5b791b0aee48b1e33905f5cf8a5e93b2c37668df33"},"schema_version":"1.0","source":{"id":"1510.03522","kind":"arxiv","version":1}},"canonical_sha256":"f232d7db5a38384ad332a7edcd2c5a0dab42b984987d394ce7a36b4e0ce1e28e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f232d7db5a38384ad332a7edcd2c5a0dab42b984987d394ce7a36b4e0ce1e28e","first_computed_at":"2026-05-18T01:30:16.948805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:16.948805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fewSVKDTds9NYFMgyhyPegPsC/HN2Kb3JpHAcD1I1THxtdiAadNkePl+28+KKZtzL7dkyOIvGioL9bDTcUPzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:16.949502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03522","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8d677d89de498a0c55150a141a83ae6790a216b27bc0643884b0eedfbfba33d","sha256:e7030bd004bc14158402c227dc978198c77a62c8aa8b9aa4b7d9af232ddc9991"],"state_sha256":"9efe757c76959008149c8c4b895018e066149608351fdff2c5eb13c8dadaa126"}