{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DY734XDEFPSQTHLKV3ZNVTJTCP","short_pith_number":"pith:DY734XDE","schema_version":"1.0","canonical_sha256":"1e3fbe5c642be5099d6aaef2dacd3313efe7ee171f0db819950c4294b55364ac","source":{"kind":"arxiv","id":"1806.02001","version":2},"attestation_state":"computed","paper":{"title":"Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Eric Smith, Supriya Krishnamurthy","submitted_at":"2018-06-06T04:24:25Z","abstract_excerpt":"Fluctuation theorems may be partitioned into those that apply the probability measure under the original stochastic process to reversed paths, and those that construct a new, adjoint measure by similarity transform, which locally reverses probability currents. Results that use the original measure have a natural interpretation in terms of time-reversal of the dynamics. Here we develop a general interpretation of fluctuation theorems based on the adjoint process by considering the duality of the Kolmogorov-forward and backward equations, acting on distributions versus observables. The backward "},"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":"1806.02001","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-06T04:24:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"daaa8bb91c34894a013fa1a6ee6365f7a28b8e5a5989d42b00e0b44d49c58f87","abstract_canon_sha256":"5e2682a3ffb04ff6855cab4dad537ee4383d5820f2f6c6c047b535efffe8087e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:36.597527Z","signature_b64":"R7myl5v8NKcJN5xmTj+oNTx1gRMBFsop348VnFPfnzL1EUxgLr8V/Pgq1lVfMebMJOVRwR6z/MKKpVbfVHENAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e3fbe5c642be5099d6aaef2dacd3313efe7ee171f0db819950c4294b55364ac","last_reissued_at":"2026-05-18T00:13:36.596961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:36.596961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Eric Smith, Supriya Krishnamurthy","submitted_at":"2018-06-06T04:24:25Z","abstract_excerpt":"Fluctuation theorems may be partitioned into those that apply the probability measure under the original stochastic process to reversed paths, and those that construct a new, adjoint measure by similarity transform, which locally reverses probability currents. Results that use the original measure have a natural interpretation in terms of time-reversal of the dynamics. Here we develop a general interpretation of fluctuation theorems based on the adjoint process by considering the duality of the Kolmogorov-forward and backward equations, acting on distributions versus observables. The backward "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02001","kind":"arxiv","version":2},"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":"1806.02001","created_at":"2026-05-18T00:13:36.597036+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02001v2","created_at":"2026-05-18T00:13:36.597036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02001","created_at":"2026-05-18T00:13:36.597036+00:00"},{"alias_kind":"pith_short_12","alias_value":"DY734XDEFPSQ","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DY734XDEFPSQTHLK","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DY734XDE","created_at":"2026-05-18T12:32:19.392346+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/DY734XDEFPSQTHLKV3ZNVTJTCP","json":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP.json","graph_json":"https://pith.science/api/pith-number/DY734XDEFPSQTHLKV3ZNVTJTCP/graph.json","events_json":"https://pith.science/api/pith-number/DY734XDEFPSQTHLKV3ZNVTJTCP/events.json","paper":"https://pith.science/paper/DY734XDE"},"agent_actions":{"view_html":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP","download_json":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP.json","view_paper":"https://pith.science/paper/DY734XDE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02001&json=true","fetch_graph":"https://pith.science/api/pith-number/DY734XDEFPSQTHLKV3ZNVTJTCP/graph.json","fetch_events":"https://pith.science/api/pith-number/DY734XDEFPSQTHLKV3ZNVTJTCP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP/action/storage_attestation","attest_author":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP/action/author_attestation","sign_citation":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP/action/citation_signature","submit_replication":"https://pith.science/pith/DY734XDEFPSQTHLKV3ZNVTJTCP/action/replication_record"}},"created_at":"2026-05-18T00:13:36.597036+00:00","updated_at":"2026-05-18T00:13:36.597036+00:00"}