{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IRN23KQTMZUMJRLKOUCXAL3VXG","short_pith_number":"pith:IRN23KQT","schema_version":"1.0","canonical_sha256":"445badaa136668c4c56a7505702f75b980ffa1847bb166e45c1ba715f5a31609","source":{"kind":"arxiv","id":"1708.01453","version":3},"attestation_state":"computed","paper":{"title":"Canonical structure and orthogonality of forces and currents in irreversible Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Johannes Zimmer, Marcus Kaiser, Robert L. Jack","submitted_at":"2017-08-04T11:17:21Z","abstract_excerpt":"We discuss a canonical structure that provides a unifying description of dynamical large deviations for irreversible finite state Markov chains (continuous time), Onsager theory, and Macroscopic Fluctuation Theory. For Markov chains, this theory involves a non-linear relation between probability currents and their conjugate forces. Within this framework, we show how the forces can be split into two components, which are orthogonal to each other, in a generalised sense. This splitting allows a decomposition of the pathwise rate function into three terms, which have physical interpretations in t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.01453","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-08-04T11:17:21Z","cross_cats_sorted":[],"title_canon_sha256":"262ab91e34c9a5f69cad5b3566e700bc787d87510605c1eac00994c71be86420","abstract_canon_sha256":"bab86df6c592ccaa0250fee04eb07dfab992c439ea6bbcd4a4460ffbcd5385ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:14.051673Z","signature_b64":"x4G0VaJ9yXw3jKYFQVNEQ8lNgxdrvUz9iQVJWUOp8wpupwRk8MJAoTf5kXEt26L3aPeIPEx/CCwqWfyNyxG6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"445badaa136668c4c56a7505702f75b980ffa1847bb166e45c1ba715f5a31609","last_reissued_at":"2026-05-18T00:23:14.050953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:14.050953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Canonical structure and orthogonality of forces and currents in irreversible Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Johannes Zimmer, Marcus Kaiser, Robert L. Jack","submitted_at":"2017-08-04T11:17:21Z","abstract_excerpt":"We discuss a canonical structure that provides a unifying description of dynamical large deviations for irreversible finite state Markov chains (continuous time), Onsager theory, and Macroscopic Fluctuation Theory. For Markov chains, this theory involves a non-linear relation between probability currents and their conjugate forces. Within this framework, we show how the forces can be split into two components, which are orthogonal to each other, in a generalised sense. This splitting allows a decomposition of the pathwise rate function into three terms, which have physical interpretations in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01453","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1708.01453","created_at":"2026-05-18T00:23:14.051082+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.01453v3","created_at":"2026-05-18T00:23:14.051082+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01453","created_at":"2026-05-18T00:23:14.051082+00:00"},{"alias_kind":"pith_short_12","alias_value":"IRN23KQTMZUM","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IRN23KQTMZUMJRLK","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IRN23KQT","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG","json":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG.json","graph_json":"https://pith.science/api/pith-number/IRN23KQTMZUMJRLKOUCXAL3VXG/graph.json","events_json":"https://pith.science/api/pith-number/IRN23KQTMZUMJRLKOUCXAL3VXG/events.json","paper":"https://pith.science/paper/IRN23KQT"},"agent_actions":{"view_html":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG","download_json":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG.json","view_paper":"https://pith.science/paper/IRN23KQT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.01453&json=true","fetch_graph":"https://pith.science/api/pith-number/IRN23KQTMZUMJRLKOUCXAL3VXG/graph.json","fetch_events":"https://pith.science/api/pith-number/IRN23KQTMZUMJRLKOUCXAL3VXG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG/action/storage_attestation","attest_author":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG/action/author_attestation","sign_citation":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG/action/citation_signature","submit_replication":"https://pith.science/pith/IRN23KQTMZUMJRLKOUCXAL3VXG/action/replication_record"}},"created_at":"2026-05-18T00:23:14.051082+00:00","updated_at":"2026-05-18T00:23:14.051082+00:00"}