{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XSYCLQXCBJMMIE5G7XIDO3GHXF","short_pith_number":"pith:XSYCLQXC","schema_version":"1.0","canonical_sha256":"bcb025c2e20a58c413a6fdd0376cc7b954c92814dd34009c52816c70747b7472","source":{"kind":"arxiv","id":"1906.02081","version":1},"attestation_state":"computed","paper":{"title":"Exact enumeration approach to first-passage time distribution of non-Markov random walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","physics.data-an"],"primary_cat":"cond-mat.stat-mech","authors_text":"Farnik Nikakhtar, Klaus Lehnertz, M. Reza Rahimi Tabar, Muhammad Sahimi, Ravi K. Sheth, Shant Baghram, Sohrab Rahvar","submitted_at":"2019-06-05T15:42:55Z","abstract_excerpt":"We propose an analytical approach to study non-Markov random walks by employing an exact enumeration method. Using the method, we derive an exact expansion for the first-passage time (FPT) distribution for any continuous, differentiable non-Markov random walk with Gaussian or non-Gaussian multivariate distribution. As an example, we study the FPT distribution of a fractional Brownian motion with a Hurst exponent $H\\in(1/2,1)$ that describes numerous non-Markov stochastic phenomena in physics, biology and geology, and for which the limit $H=1/2$ represents a Markov process."},"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":"1906.02081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-06-05T15:42:55Z","cross_cats_sorted":["astro-ph.CO","physics.data-an"],"title_canon_sha256":"033a347b3e2f2f629709622826fbadb1e791c98e37970020d4c1410c7bb54131","abstract_canon_sha256":"7bcb6caebb1a742bfaeb7b74ea65359468b09d7791b8e585782bf246ea9749d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:01.964473Z","signature_b64":"3Fctbm5L587sW+KOK56Fff98dR/kaJMHgS9aDHyr0oThMl1YxRnKvaUIGI7iHGRB68tYvcE3zbZy8JrJqB4fBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcb025c2e20a58c413a6fdd0376cc7b954c92814dd34009c52816c70747b7472","last_reissued_at":"2026-05-17T23:44:01.963967Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:01.963967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact enumeration approach to first-passage time distribution of non-Markov random walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","physics.data-an"],"primary_cat":"cond-mat.stat-mech","authors_text":"Farnik Nikakhtar, Klaus Lehnertz, M. Reza Rahimi Tabar, Muhammad Sahimi, Ravi K. Sheth, Shant Baghram, Sohrab Rahvar","submitted_at":"2019-06-05T15:42:55Z","abstract_excerpt":"We propose an analytical approach to study non-Markov random walks by employing an exact enumeration method. Using the method, we derive an exact expansion for the first-passage time (FPT) distribution for any continuous, differentiable non-Markov random walk with Gaussian or non-Gaussian multivariate distribution. As an example, we study the FPT distribution of a fractional Brownian motion with a Hurst exponent $H\\in(1/2,1)$ that describes numerous non-Markov stochastic phenomena in physics, biology and geology, and for which the limit $H=1/2$ represents a Markov process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.02081","kind":"arxiv","version":1},"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":"1906.02081","created_at":"2026-05-17T23:44:01.964043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.02081v1","created_at":"2026-05-17T23:44:01.964043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.02081","created_at":"2026-05-17T23:44:01.964043+00:00"},{"alias_kind":"pith_short_12","alias_value":"XSYCLQXCBJMM","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"XSYCLQXCBJMMIE5G","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"XSYCLQXC","created_at":"2026-05-18T12:33:33.725879+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/XSYCLQXCBJMMIE5G7XIDO3GHXF","json":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF.json","graph_json":"https://pith.science/api/pith-number/XSYCLQXCBJMMIE5G7XIDO3GHXF/graph.json","events_json":"https://pith.science/api/pith-number/XSYCLQXCBJMMIE5G7XIDO3GHXF/events.json","paper":"https://pith.science/paper/XSYCLQXC"},"agent_actions":{"view_html":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF","download_json":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF.json","view_paper":"https://pith.science/paper/XSYCLQXC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.02081&json=true","fetch_graph":"https://pith.science/api/pith-number/XSYCLQXCBJMMIE5G7XIDO3GHXF/graph.json","fetch_events":"https://pith.science/api/pith-number/XSYCLQXCBJMMIE5G7XIDO3GHXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF/action/storage_attestation","attest_author":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF/action/author_attestation","sign_citation":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF/action/citation_signature","submit_replication":"https://pith.science/pith/XSYCLQXCBJMMIE5G7XIDO3GHXF/action/replication_record"}},"created_at":"2026-05-17T23:44:01.964043+00:00","updated_at":"2026-05-17T23:44:01.964043+00:00"}