{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5MYKNLCDVC3CSCREOCAPOBLLCJ","short_pith_number":"pith:5MYKNLCD","canonical_record":{"source":{"id":"1601.06270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-23T14:26:30Z","cross_cats_sorted":[],"title_canon_sha256":"e16c3541eb52d676d8f574d13bbedfc44f903c7b5f45c497495cd124ae4a0dfc","abstract_canon_sha256":"8ef1e6fbd3a8bbb25ea5d624551bd67309f953d2499448b6e97abac7db74c64a"},"schema_version":"1.0"},"canonical_sha256":"eb30a6ac43a8b6290a247080f7056b124b16f362a42088611c450433fc883608","source":{"kind":"arxiv","id":"1601.06270","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06270","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06270v1","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06270","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"pith_short_12","alias_value":"5MYKNLCDVC3C","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5MYKNLCDVC3CSCRE","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5MYKNLCD","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5MYKNLCDVC3CSCREOCAPOBLLCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1601.06270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-23T14:26:30Z","cross_cats_sorted":[],"title_canon_sha256":"e16c3541eb52d676d8f574d13bbedfc44f903c7b5f45c497495cd124ae4a0dfc","abstract_canon_sha256":"8ef1e6fbd3a8bbb25ea5d624551bd67309f953d2499448b6e97abac7db74c64a"},"schema_version":"1.0"},"canonical_sha256":"eb30a6ac43a8b6290a247080f7056b124b16f362a42088611c450433fc883608","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:04.887184Z","signature_b64":"IGl+TsRM8D2DK8iN5TGJwASHuuSa4Xgf0xO6m6gC2ZpAwucaZreKu7Bt1BSImOwfTX/nzbbcHRma2TRn9r2uAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb30a6ac43a8b6290a247080f7056b124b16f362a42088611c450433fc883608","last_reissued_at":"2026-05-18T01:22:04.886595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:04.886595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.06270","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJio67Xaw39bBcmuyGdt2i/kZ9KlgWmwGxJm49tIsgkE2Zr4XJAK4f3pHUXrLUPWWjl6W+VwhrVcRDaiuTzOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:46:10.800995Z"},"content_sha256":"d1e021523c5dae0704b3738c1221bb6e95421e965d3f3d87c04ec030284fec40","schema_version":"1.0","event_id":"sha256:d1e021523c5dae0704b3738c1221bb6e95421e965d3f3d87c04ec030284fec40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5MYKNLCDVC3CSCREOCAPOBLLCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviation principle of occupation measures for Non-linear monotone SPDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jie Xiong, Lihu Xu, Ran Wang","submitted_at":"2016-01-23T14:26:30Z","abstract_excerpt":"Using the hyper-exponential recurrence criterion, a large deviation principle for the occupation measure is derived for a class of non-linear monotone stochastic partial differential equations. The main results are applied to many concrete SPDEs such as stochastic $p$-Laplace equation, stochastic porous medium equation, stochastic fast-diffusion equation, and even stochastic real Ginzburg-Landau equation driven by $\\alpha$-stable noises."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06270","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9i7+5JGSnynJxFCJOGt5OfyDqcKy7Rd2TuPsfti1VA1d3s+IwluOQ9QDzWELkg5yZiqyU8QCW09s95+lUkOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:46:10.801637Z"},"content_sha256":"9898bb115ad379deb16d6011e77adc5dfd81781c6df7eaba1b16ecb0c44b1748","schema_version":"1.0","event_id":"sha256:9898bb115ad379deb16d6011e77adc5dfd81781c6df7eaba1b16ecb0c44b1748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/bundle.json","state_url":"https://pith.science/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T06:46:10Z","links":{"resolver":"https://pith.science/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ","bundle":"https://pith.science/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/bundle.json","state":"https://pith.science/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MYKNLCDVC3CSCREOCAPOBLLCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5MYKNLCDVC3CSCREOCAPOBLLCJ","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":"8ef1e6fbd3a8bbb25ea5d624551bd67309f953d2499448b6e97abac7db74c64a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-23T14:26:30Z","title_canon_sha256":"e16c3541eb52d676d8f574d13bbedfc44f903c7b5f45c497495cd124ae4a0dfc"},"schema_version":"1.0","source":{"id":"1601.06270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06270","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06270v1","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06270","created_at":"2026-05-18T01:22:04Z"},{"alias_kind":"pith_short_12","alias_value":"5MYKNLCDVC3C","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5MYKNLCDVC3CSCRE","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5MYKNLCD","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:9898bb115ad379deb16d6011e77adc5dfd81781c6df7eaba1b16ecb0c44b1748","target":"graph","created_at":"2026-05-18T01:22:04Z","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":"Using the hyper-exponential recurrence criterion, a large deviation principle for the occupation measure is derived for a class of non-linear monotone stochastic partial differential equations. The main results are applied to many concrete SPDEs such as stochastic $p$-Laplace equation, stochastic porous medium equation, stochastic fast-diffusion equation, and even stochastic real Ginzburg-Landau equation driven by $\\alpha$-stable noises.","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":"2016-01-23T14:26:30Z","title":"Large deviation principle of occupation measures for Non-linear monotone SPDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06270","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:d1e021523c5dae0704b3738c1221bb6e95421e965d3f3d87c04ec030284fec40","target":"record","created_at":"2026-05-18T01:22:04Z","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":"8ef1e6fbd3a8bbb25ea5d624551bd67309f953d2499448b6e97abac7db74c64a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-01-23T14:26:30Z","title_canon_sha256":"e16c3541eb52d676d8f574d13bbedfc44f903c7b5f45c497495cd124ae4a0dfc"},"schema_version":"1.0","source":{"id":"1601.06270","kind":"arxiv","version":1}},"canonical_sha256":"eb30a6ac43a8b6290a247080f7056b124b16f362a42088611c450433fc883608","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb30a6ac43a8b6290a247080f7056b124b16f362a42088611c450433fc883608","first_computed_at":"2026-05-18T01:22:04.886595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:04.886595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IGl+TsRM8D2DK8iN5TGJwASHuuSa4Xgf0xO6m6gC2ZpAwucaZreKu7Bt1BSImOwfTX/nzbbcHRma2TRn9r2uAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:04.887184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1e021523c5dae0704b3738c1221bb6e95421e965d3f3d87c04ec030284fec40","sha256:9898bb115ad379deb16d6011e77adc5dfd81781c6df7eaba1b16ecb0c44b1748"],"state_sha256":"dfa3977ed04367c7b6d456dc8d6d05cb1511a98843dc51b0021a7a6207704071"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ue/AvcNz89pSChD3191Su4wkhKIiavpRAiTerizss0gdrMQHz/0APSBYtjMFm8ei53KkZ+ngj1PBPyyJ93AGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:46:10.804875Z","bundle_sha256":"a1ccdd69abb1df97c3746a36a92085a96b84aaa19041f6db256398a059aed274"}}