{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:LCRT3Q7FDYCYF7EIF2PXQEWRWU","short_pith_number":"pith:LCRT3Q7F","schema_version":"1.0","canonical_sha256":"58a33dc3e51e0582fc882e9f7812d1b521901d5c5a8f434a68ecedb4c5000713","source":{"kind":"arxiv","id":"2605.12993","version":1},"attestation_state":"computed","paper":{"title":"Path-Integral Description of Stochastic Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The Feynman-Wiener path-integral formalism describes diffusion with drift and jumps in stochastic mechanics.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yoni BenTov","submitted_at":"2026-05-13T04:47:48Z","abstract_excerpt":"I review the Feynman-Wiener path-integral formalism for diffusion with drift and jumps."},"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":true,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.12993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-13T04:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"704d861f3879eff438762798aba039d811e0b0291d1bd81d8b386de716627775","abstract_canon_sha256":"f0b6728ff9129fbd314a0c307f476afbb9759d085740177be5601a69b0e89694"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:00.517038Z","signature_b64":"VHLSl+PJxhyOYNzLmFcg/6prz+PO/Rv6DNrbxQujCzRH6u35AbYE8iPwcKCzBcO7R7U377oUJLlroUSo/IQKDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58a33dc3e51e0582fc882e9f7812d1b521901d5c5a8f434a68ecedb4c5000713","last_reissued_at":"2026-05-18T03:09:00.516569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:00.516569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path-Integral Description of Stochastic Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The Feynman-Wiener path-integral formalism describes diffusion with drift and jumps in stochastic mechanics.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yoni BenTov","submitted_at":"2026-05-13T04:47:48Z","abstract_excerpt":"I review the Feynman-Wiener path-integral formalism for diffusion with drift and jumps."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The Feynman-Wiener path-integral formalism provides a description for diffusion with drift and jumps in stochastic mechanics.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the standard path-integral techniques from quantum mechanics extend directly and accurately to classical stochastic processes with jumps without additional unstated corrections or limitations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The paper reviews the Feynman-Wiener path-integral formalism for diffusion with drift and jumps.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Feynman-Wiener path-integral formalism describes diffusion with drift and jumps in stochastic mechanics.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b14f4715579ee5a84fee8b9d5d6a1513c631f63ef05ab731894aa152002c6ba3"},"source":{"id":"2605.12993","kind":"arxiv","version":1},"verdict":{"id":"b4bbdb31-8c70-4b9f-82c3-ec30a3068603","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:54:13.448497Z","strongest_claim":"The Feynman-Wiener path-integral formalism provides a description for diffusion with drift and jumps in stochastic mechanics.","one_line_summary":"The paper reviews the Feynman-Wiener path-integral formalism for diffusion with drift and jumps.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the standard path-integral techniques from quantum mechanics extend directly and accurately to classical stochastic processes with jumps without additional unstated corrections or limitations.","pith_extraction_headline":"The Feynman-Wiener path-integral formalism describes diffusion with drift and jumps in stochastic mechanics."},"references":{"count":78,"sample":[{"doi":"","year":2019,"title":"Zuckerman.The Man Who Solved the Market: How Jim Simons Launched the Quant Revolution","work_id":"c32dcba9-326e-4548-a661-9b7ee69d8c01","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1948,"title":"R. P. Feynman. Space-time approach to non-relativistic quantum mechanics.Reviews of Modern Physics, 20(2):367–387, 1948","work_id":"df256158-ef46-43b4-a08d-b5f846c3495c","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1921,"title":"N. Wiener. The average of an analytic functional.Proceedings of the National Academy of Sciences, 7(9):253–260, 1921","work_id":"25d8c83d-7d9d-4f21-b05b-c004f2ec61e1","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"J. W. Dash.Quantitative Finance and Risk Management: A Physicist’s Approach, 2nd Ed.World Scientific Publishing Co. Pte. Ltd., 2016","work_id":"bc412f40-dea4-4a5e-9cd3-03eee82258b0","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1990,"title":"R. C. Merton.Continuous-Time Finance. Basil Blackwell Inc., 1990","work_id":"b73232d2-7287-42e0-ba3d-13bcad7ff8e7","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":78,"snapshot_sha256":"4afef1556b61e21e27ac4e7b7ae3a1260176ae569102cb7173f8958beed6a11c","internal_anchors":3},"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":"2605.12993","created_at":"2026-05-18T03:09:00.516643+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.12993v1","created_at":"2026-05-18T03:09:00.516643+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12993","created_at":"2026-05-18T03:09:00.516643+00:00"},{"alias_kind":"pith_short_12","alias_value":"LCRT3Q7FDYCY","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"LCRT3Q7FDYCYF7EI","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"LCRT3Q7F","created_at":"2026-05-18T12:33:37.589309+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/LCRT3Q7FDYCYF7EIF2PXQEWRWU","json":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU.json","graph_json":"https://pith.science/api/pith-number/LCRT3Q7FDYCYF7EIF2PXQEWRWU/graph.json","events_json":"https://pith.science/api/pith-number/LCRT3Q7FDYCYF7EIF2PXQEWRWU/events.json","paper":"https://pith.science/paper/LCRT3Q7F"},"agent_actions":{"view_html":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU","download_json":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU.json","view_paper":"https://pith.science/paper/LCRT3Q7F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.12993&json=true","fetch_graph":"https://pith.science/api/pith-number/LCRT3Q7FDYCYF7EIF2PXQEWRWU/graph.json","fetch_events":"https://pith.science/api/pith-number/LCRT3Q7FDYCYF7EIF2PXQEWRWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU/action/storage_attestation","attest_author":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU/action/author_attestation","sign_citation":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU/action/citation_signature","submit_replication":"https://pith.science/pith/LCRT3Q7FDYCYF7EIF2PXQEWRWU/action/replication_record"}},"created_at":"2026-05-18T03:09:00.516643+00:00","updated_at":"2026-05-18T03:09:00.516643+00:00"}