{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GUGG3N5KZFJ5PHUVU26EEZ3ODZ","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":"dd88eee4ffd3ceae4887a7ed879788b90cefbaa2d88719b19463e1d612b276f5","cross_cats_sorted":["q-bio.MN","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T18:19:43Z","title_canon_sha256":"1327dd405c92642ae7021b2880ad9a217aa3cbba67e66d664bff35478e816557"},"schema_version":"1.0","source":{"id":"1410.2152","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2152","created_at":"2026-05-18T01:32:30Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2152v2","created_at":"2026-05-18T01:32:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2152","created_at":"2026-05-18T01:32:30Z"},{"alias_kind":"pith_short_12","alias_value":"GUGG3N5KZFJ5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GUGG3N5KZFJ5PHUV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GUGG3N5K","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:8da7d676188eb3d7fc61335ae0a0db6a084379d0227012fff6ad550db7b5d2e9","target":"graph","created_at":"2026-05-18T01:32:30Z","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 develop the connection between large deviation theory and more applied approaches to stochastic hybrid systems by highlighting a common underlying Hamiltonian structure. A stochastic hybrid system involves the coupling between a piecewise deterministic dynamical system in $R^d$ and a time-homogeneous Markov chain on some discrete space $\\Gamma$. We assume that the Markov chain on $\\Gamma$ is ergodic, and that the discrete dynamics is much faster than the piecewise deterministic dynamics (separation of time-scales). Using the Perron-Frobenius theorem and the calculus-of-variations, we evalua","authors_text":"Olivier Faugeras (NEUROMATHCOMP), Paul Bressloff","cross_cats":["q-bio.MN","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T18:19:43Z","title":"On the Hamiltonian structure of large deviations in stochastic hybrid systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2152","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":"sha256:6a218136449c6dad676d5f313f45775410595c8ac40453612c6eac3df2871df9","target":"record","created_at":"2026-05-18T01:32:30Z","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":"dd88eee4ffd3ceae4887a7ed879788b90cefbaa2d88719b19463e1d612b276f5","cross_cats_sorted":["q-bio.MN","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T18:19:43Z","title_canon_sha256":"1327dd405c92642ae7021b2880ad9a217aa3cbba67e66d664bff35478e816557"},"schema_version":"1.0","source":{"id":"1410.2152","kind":"arxiv","version":2}},"canonical_sha256":"350c6db7aac953d79e95a6bc42676e1e557d5cd6132b33bab99790c25cf88c2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"350c6db7aac953d79e95a6bc42676e1e557d5cd6132b33bab99790c25cf88c2b","first_computed_at":"2026-05-18T01:32:30.666882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:30.666882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UuVUCmv3I5nPcPH5pkscMWg7p/ZUtt33z+HOXLC/IMgf4fT+2wXkyfrrMDqowvWT7aVV963dLQAUvpOB8L+SAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:30.667355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2152","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a218136449c6dad676d5f313f45775410595c8ac40453612c6eac3df2871df9","sha256:8da7d676188eb3d7fc61335ae0a0db6a084379d0227012fff6ad550db7b5d2e9"],"state_sha256":"67e58e1418a04c1d5afe79681ffc7e9677724daa61feed2cf28ac9560aa66d0f"}