{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:35VEJHCABVGUH2XTEOLHLE7ZJB","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":"13385f2bce39e7acc39a3b0cc7ad52e2ae8d063e949d56ecd64254015ea60bf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T17:36:56Z","title_canon_sha256":"2d1d4828af29ddaa3098495d0a333c3702e6299b8e7f3989878de02b32c60b26"},"schema_version":"1.0","source":{"id":"1409.0803","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0803","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0803v1","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0803","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"pith_short_12","alias_value":"35VEJHCABVGU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"35VEJHCABVGUH2XT","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"35VEJHCA","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:19d9e771576d2991a452329f0aa4b86e48dae4fbc028cff2041cf91516ba1b12","target":"graph","created_at":"2026-05-18T02:43:46Z","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 study the validity of the so-called Smoluchowski-Kramers approximation for a two dimensional system of stochastic partial differential equations, subject to a constant magnetic field. As the small mass limit does not yield to the solution of the corresponding first order system, we regularize our problem by adding a small friction. We show that in this case the Smoluchowski-Kramers approximation holds. We also give a justification of the regularization, by showing that the regularized problems provide a good approximation to the original ones.","authors_text":"Michael Salins, Sandra Cerrai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T17:36:56Z","title":"On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0803","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:afb53b377807c89d760998a926f82fefb7ffd64b6422a941c9e0cd2fa581d5c7","target":"record","created_at":"2026-05-18T02:43:46Z","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":"13385f2bce39e7acc39a3b0cc7ad52e2ae8d063e949d56ecd64254015ea60bf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T17:36:56Z","title_canon_sha256":"2d1d4828af29ddaa3098495d0a333c3702e6299b8e7f3989878de02b32c60b26"},"schema_version":"1.0","source":{"id":"1409.0803","kind":"arxiv","version":1}},"canonical_sha256":"df6a449c400d4d43eaf323967593f9484f2e9d124b3844b82064439e15c33429","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df6a449c400d4d43eaf323967593f9484f2e9d124b3844b82064439e15c33429","first_computed_at":"2026-05-18T02:43:46.082196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:46.082196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aV2RpB3D5C7Tv4wT174+ky+dzfHRNTCPyyJMScjqc2m6L/KEew2vLVB7i7091iE/w7e5xPDnV3X8e58DCU36DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:46.082769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0803","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afb53b377807c89d760998a926f82fefb7ffd64b6422a941c9e0cd2fa581d5c7","sha256:19d9e771576d2991a452329f0aa4b86e48dae4fbc028cff2041cf91516ba1b12"],"state_sha256":"7b318cb01824c66e5b07e8abc4a7055260931437f43ddd6aa8794bf27d7e89af"}