{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:S6OGIXN4UR6YSE64MELP4OKLDS","short_pith_number":"pith:S6OGIXN4","schema_version":"1.0","canonical_sha256":"979c645dbca47d8913dc6116fe394b1c9674464b995a6397bb57704d694d43b6","source":{"kind":"arxiv","id":"1503.02639","version":2},"attestation_state":"computed","paper":{"title":"Effective Langevin equations for constrained stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henri Orland, Satya N. Majumdar","submitted_at":"2015-03-09T19:36:39Z","abstract_excerpt":"We propose a novel stochastic method to exactly generate Brownian paths conditioned to start at an initial point and end at a given final point during a fixed time $t_{f}$. These paths are weighted with a probability given by the overdamped Langevin dynamics. We show how these paths can be exactly generated by a local stochastic differential equation. The method is illustrated on the generation of Brownian bridges, Brownian meanders, Brownian excursions and constrained Ornstein-Uehlenbeck processes. In addition, we show how to solve this equation in the case of a general force acting on the pa"},"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":"1503.02639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-09T19:36:39Z","cross_cats_sorted":[],"title_canon_sha256":"f2dd89300089a1b9a69760216c68fd0d6501712598607508c508a44875242d73","abstract_canon_sha256":"707bc67d5e41a995ca26dee6c5d8d17f76e52932a6aa2dd31914fdb529c27090"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:10.727754Z","signature_b64":"TXvOiJObj1p8Hs0bJd050UfJIHfECma1edlkUibnbcuNwhZa7mYLg07/Ib0TU+MaxoahBQmM+wm9sQNlvBwvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"979c645dbca47d8913dc6116fe394b1c9674464b995a6397bb57704d694d43b6","last_reissued_at":"2026-05-18T02:12:10.726990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:10.726990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective Langevin equations for constrained stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henri Orland, Satya N. Majumdar","submitted_at":"2015-03-09T19:36:39Z","abstract_excerpt":"We propose a novel stochastic method to exactly generate Brownian paths conditioned to start at an initial point and end at a given final point during a fixed time $t_{f}$. These paths are weighted with a probability given by the overdamped Langevin dynamics. We show how these paths can be exactly generated by a local stochastic differential equation. The method is illustrated on the generation of Brownian bridges, Brownian meanders, Brownian excursions and constrained Ornstein-Uehlenbeck processes. In addition, we show how to solve this equation in the case of a general force acting on the pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02639","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":"1503.02639","created_at":"2026-05-18T02:12:10.727121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.02639v2","created_at":"2026-05-18T02:12:10.727121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02639","created_at":"2026-05-18T02:12:10.727121+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6OGIXN4UR6Y","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6OGIXN4UR6YSE64","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6OGIXN4","created_at":"2026-05-18T12:29:39.896362+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/S6OGIXN4UR6YSE64MELP4OKLDS","json":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS.json","graph_json":"https://pith.science/api/pith-number/S6OGIXN4UR6YSE64MELP4OKLDS/graph.json","events_json":"https://pith.science/api/pith-number/S6OGIXN4UR6YSE64MELP4OKLDS/events.json","paper":"https://pith.science/paper/S6OGIXN4"},"agent_actions":{"view_html":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS","download_json":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS.json","view_paper":"https://pith.science/paper/S6OGIXN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.02639&json=true","fetch_graph":"https://pith.science/api/pith-number/S6OGIXN4UR6YSE64MELP4OKLDS/graph.json","fetch_events":"https://pith.science/api/pith-number/S6OGIXN4UR6YSE64MELP4OKLDS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS/action/storage_attestation","attest_author":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS/action/author_attestation","sign_citation":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS/action/citation_signature","submit_replication":"https://pith.science/pith/S6OGIXN4UR6YSE64MELP4OKLDS/action/replication_record"}},"created_at":"2026-05-18T02:12:10.727121+00:00","updated_at":"2026-05-18T02:12:10.727121+00:00"}