{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IB7QZWFVDIPBHW7Z6XP25FX5C3","short_pith_number":"pith:IB7QZWFV","canonical_record":{"source":{"id":"1503.01027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-03T17:48:59Z","cross_cats_sorted":[],"title_canon_sha256":"303335552655fd001931f77794784989b17eab28742aa287ea92d770d5308b6c","abstract_canon_sha256":"272eb39ca0ebc92733778675101e9abc111502327f506e8af007c7cdbfa6bedc"},"schema_version":"1.0"},"canonical_sha256":"407f0cd8b51a1e13dbf9f5dfae96fd16e5b850578ae0e9bd6273af66d6c3a563","source":{"kind":"arxiv","id":"1503.01027","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01027","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01027v1","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01027","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"IB7QZWFVDIPB","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IB7QZWFVDIPBHW7Z","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IB7QZWFV","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IB7QZWFVDIPBHW7Z6XP25FX5C3","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-03T17:48:59Z","cross_cats_sorted":[],"title_canon_sha256":"303335552655fd001931f77794784989b17eab28742aa287ea92d770d5308b6c","abstract_canon_sha256":"272eb39ca0ebc92733778675101e9abc111502327f506e8af007c7cdbfa6bedc"},"schema_version":"1.0"},"canonical_sha256":"407f0cd8b51a1e13dbf9f5dfae96fd16e5b850578ae0e9bd6273af66d6c3a563","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:45.351698Z","signature_b64":"0hiJo0yN1PTi3ckDhNatnuIQc9bzoPOY4XYQEy5N6/5L7oiII86tT/HhN7vbNk4QlPGsD/3UVJd/kQ4o0PzqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407f0cd8b51a1e13dbf9f5dfae96fd16e5b850578ae0e9bd6273af66d6c3a563","last_reissued_at":"2026-05-18T01:31:45.351166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:45.351166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01027","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":"2026-05-18T01:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tuR7nDrtTO4F91Fa+m6KmTyuQEOovR2hIcOiK+FljY3I/rvJ/fWWcazk+/ddhUm6gzeP5+z+mPu4wJDXJ+WiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:25:33.635202Z"},"content_sha256":"38ab3ce0b0475e6ea54ac4190c47710551575416b7a9024368cd5678bf8d5177","schema_version":"1.0","event_id":"sha256:38ab3ce0b0475e6ea54ac4190c47710551575416b7a9024368cd5678bf8d5177"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IB7QZWFVDIPBHW7Z6XP25FX5C3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large Deviations for the Langevin equation with strong damping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mark Freidlin, Sandra Cerrai","submitted_at":"2015-03-03T17:48:59Z","abstract_excerpt":"We study large deviations in the Langevin dynamics, with damping of order $\\e^{-1}$ and noise of order $1$, as $\\e\\downarrow 0$. The damping coefficient is assumed to be state dependent. We proceed first with a change of time and then, we use a weak convergence approach to large deviations and their equivalent formulation in terms of the Laplace principle, to determine the good action functional.\n  Some applications of these results to the exit problem from a domain and to the wave front propagation for a suitable class of reaction diffusion equations are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01027","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":"2026-05-18T01:31:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GUs8VUdLYxYGYaovtJxYI7jsa05IvvEp7IcIoFX3IkR9YpwPfprIHQ6JRg+HsUuGFrMM9KiXaKc2eJQUVrnhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:25:33.635564Z"},"content_sha256":"87bb227a5d2d1a8ccb4faf863a83e66800a6713118503840941061545b890118","schema_version":"1.0","event_id":"sha256:87bb227a5d2d1a8ccb4faf863a83e66800a6713118503840941061545b890118"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/bundle.json","state_url":"https://pith.science/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/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":"2026-06-01T09:25:33Z","links":{"resolver":"https://pith.science/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3","bundle":"https://pith.science/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/bundle.json","state":"https://pith.science/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB7QZWFVDIPBHW7Z6XP25FX5C3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IB7QZWFVDIPBHW7Z6XP25FX5C3","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":"272eb39ca0ebc92733778675101e9abc111502327f506e8af007c7cdbfa6bedc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-03T17:48:59Z","title_canon_sha256":"303335552655fd001931f77794784989b17eab28742aa287ea92d770d5308b6c"},"schema_version":"1.0","source":{"id":"1503.01027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01027","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01027v1","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01027","created_at":"2026-05-18T01:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"IB7QZWFVDIPB","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IB7QZWFVDIPBHW7Z","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IB7QZWFV","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:87bb227a5d2d1a8ccb4faf863a83e66800a6713118503840941061545b890118","target":"graph","created_at":"2026-05-18T01:31:45Z","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 large deviations in the Langevin dynamics, with damping of order $\\e^{-1}$ and noise of order $1$, as $\\e\\downarrow 0$. The damping coefficient is assumed to be state dependent. We proceed first with a change of time and then, we use a weak convergence approach to large deviations and their equivalent formulation in terms of the Laplace principle, to determine the good action functional.\n  Some applications of these results to the exit problem from a domain and to the wave front propagation for a suitable class of reaction diffusion equations are considered.","authors_text":"Mark Freidlin, Sandra Cerrai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-03T17:48:59Z","title":"Large Deviations for the Langevin equation with strong damping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01027","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":"sha256:38ab3ce0b0475e6ea54ac4190c47710551575416b7a9024368cd5678bf8d5177","target":"record","created_at":"2026-05-18T01:31:45Z","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":"272eb39ca0ebc92733778675101e9abc111502327f506e8af007c7cdbfa6bedc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-03T17:48:59Z","title_canon_sha256":"303335552655fd001931f77794784989b17eab28742aa287ea92d770d5308b6c"},"schema_version":"1.0","source":{"id":"1503.01027","kind":"arxiv","version":1}},"canonical_sha256":"407f0cd8b51a1e13dbf9f5dfae96fd16e5b850578ae0e9bd6273af66d6c3a563","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407f0cd8b51a1e13dbf9f5dfae96fd16e5b850578ae0e9bd6273af66d6c3a563","first_computed_at":"2026-05-18T01:31:45.351166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:45.351166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0hiJo0yN1PTi3ckDhNatnuIQc9bzoPOY4XYQEy5N6/5L7oiII86tT/HhN7vbNk4QlPGsD/3UVJd/kQ4o0PzqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:45.351698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38ab3ce0b0475e6ea54ac4190c47710551575416b7a9024368cd5678bf8d5177","sha256:87bb227a5d2d1a8ccb4faf863a83e66800a6713118503840941061545b890118"],"state_sha256":"472efa5a48fefff396d7d21150e6fdf9b21c60795829f92cefe8440c40fa7bee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1k8DaYMPR7fPehCgKrrg4JkHfedTuZD7OeORAeiiOmmPK3tuU4zQKd+sxa7xUGJupqRNrnjevNf5S+UueuihDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:25:33.637456Z","bundle_sha256":"20dfc7662e39b443471cebdd8ae9b9250b2843a3ca39d1b6df49c4f88f9803b4"}}