{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FAEU3HNOCHDNDGQT3WCWYCNJMB","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":"d228c9ba07404a6a76c9e667c3520c7c4e1244631b676f7347b0f43d8f2d56f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-22T09:47:02Z","title_canon_sha256":"fe44ea60ca7d3d1626f8b058368d50e694f53432a6ff57807b4fa53507254fce"},"schema_version":"1.0","source":{"id":"1902.08416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08416","created_at":"2026-07-05T00:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08416v1","created_at":"2026-07-05T00:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08416","created_at":"2026-07-05T00:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"FAEU3HNOCHDN","created_at":"2026-07-05T00:01:42Z"},{"alias_kind":"pith_short_16","alias_value":"FAEU3HNOCHDNDGQT","created_at":"2026-07-05T00:01:42Z"},{"alias_kind":"pith_short_8","alias_value":"FAEU3HNO","created_at":"2026-07-05T00:01:42Z"}],"graph_snapshots":[{"event_id":"sha256:54a6f9298595e2a591d49ba2d96b1763b764eeebdaa0a8c44eed433926063ae1","target":"graph","created_at":"2026-07-05T00:01:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1902.08416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chemical reaction networks offer a natural nonlinear generalisation of linear Markov jump processes on a finite state-space. In this paper, we analyse the dynamical large deviations of such models, starting from their microscopic version, the chemical master equation. By taking a large-volume limit, we show that those systems can be described by a path integral formalism over a Lagrangian functional of concentrations and chemical fluxes. This Lagrangian is dual to a Hamiltonian, whose trajectories correspond to the most likely evolution of the system given its boundary conditions. The same can","authors_text":"Alexandre Lazarescu, Gianmaria Falasco, Massimiliano Esposito, Tommaso Cossetto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-22T09:47:02Z","title":"Large deviations and dynamical phase transitions in stochastic chemical networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08416","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":"sha256:06210eb04786f3d51cec3364f5bfcd3b0f78c1da26b2b5bb20a2f8e38d632db3","target":"record","created_at":"2026-07-05T00:01:42Z","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":"d228c9ba07404a6a76c9e667c3520c7c4e1244631b676f7347b0f43d8f2d56f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-22T09:47:02Z","title_canon_sha256":"fe44ea60ca7d3d1626f8b058368d50e694f53432a6ff57807b4fa53507254fce"},"schema_version":"1.0","source":{"id":"1902.08416","kind":"arxiv","version":1}},"canonical_sha256":"28094d9dae11c6d19a13dd856c09a960596e0e427ffad4ea02cbc4146a67a13d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28094d9dae11c6d19a13dd856c09a960596e0e427ffad4ea02cbc4146a67a13d","first_computed_at":"2026-07-05T00:01:42.277547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:42.277547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kVc5biDtxjlmgB6pZoyvyGTLtZx+Wy548/SqVvTwmIc4qP8foGGJhwAQ9NnSwVywobEVBg0uox/HyT90WYAICA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:42.277952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.08416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06210eb04786f3d51cec3364f5bfcd3b0f78c1da26b2b5bb20a2f8e38d632db3","sha256:54a6f9298595e2a591d49ba2d96b1763b764eeebdaa0a8c44eed433926063ae1"],"state_sha256":"6bdaa811bc9c59a3ea38f23c5873ce1d0d3ced0ea4c74598f051d6492988337d"}