{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T5FD24NTQKEGD6Y3GRFF76QJRA","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":"9afa5a495f6641dbd6583d043e2be1fde23d7967486dee819b1582855fe89bdf","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-09T09:49:02Z","title_canon_sha256":"cbf1237eeb0d2d1983f749bf573dc0ee59167d5abb3e6d17b81fbcc641c9ca50"},"schema_version":"1.0","source":{"id":"1405.2191","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2191","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2191v2","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2191","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"T5FD24NTQKEG","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T5FD24NTQKEGD6Y3","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T5FD24NT","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:f76d2e26b02a0319e67fb027d7f4308d4f6e280cd17b4ab18d4e667bd2cbc952","target":"graph","created_at":"2026-05-18T02:52:05Z","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 aim of this paper is the rigorous derivation of a stochastic non-linear diffusion equation from a radiative transfer equation perturbed with a random noise. The proof of the convergence relies on a formal Hilbert expansion and the estimation of the remainder. The Hilbert expansion has to be done up to order 3 to overcome some diffculties caused by the random noise.","authors_text":"Arnaud Debussche (ENS Rennes, ICJ), IRMAR), Julien Vovelle (CNRS, Sylvain De Moor (ENS Rennes","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-09T09:49:02Z","title":"Diffusion limit for the radiative transfer equation perturbed by a Wiener process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2191","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":"sha256:3bde61e0c1b35704a66116975a66e5b22630c75ed0ffdfd5d7e4caef8dfc6404","target":"record","created_at":"2026-05-18T02:52:05Z","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":"9afa5a495f6641dbd6583d043e2be1fde23d7967486dee819b1582855fe89bdf","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-09T09:49:02Z","title_canon_sha256":"cbf1237eeb0d2d1983f749bf573dc0ee59167d5abb3e6d17b81fbcc641c9ca50"},"schema_version":"1.0","source":{"id":"1405.2191","kind":"arxiv","version":2}},"canonical_sha256":"9f4a3d71b3828861fb1b344a5ffa0988030ec34d38767011aa18ecad16fa682d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f4a3d71b3828861fb1b344a5ffa0988030ec34d38767011aa18ecad16fa682d","first_computed_at":"2026-05-18T02:52:05.714775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:05.714775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t4hAxxhJGa2S8tnivbjNZZYM1FLTUe9axZl6uZFRJaWBtxInc1ofsNIU0BdmyigsFYPI35AItJXOWdSs7X+/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:05.715261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2191","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bde61e0c1b35704a66116975a66e5b22630c75ed0ffdfd5d7e4caef8dfc6404","sha256:f76d2e26b02a0319e67fb027d7f4308d4f6e280cd17b4ab18d4e667bd2cbc952"],"state_sha256":"3e3cb2224ace81431cabc377a0fe8d10fdec00640f810f6f1225ad201ad6560e"}