{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:R2RARSVAXQFSPOVN2TN23STXAX","short_pith_number":"pith:R2RARSVA","schema_version":"1.0","canonical_sha256":"8ea208caa0bc0b27baadd4dbadca7705fb417228d108371d0dafd5704b897d6f","source":{"kind":"arxiv","id":"1704.08669","version":1},"attestation_state":"computed","paper":{"title":"Evolution of moments and correlations in non-renewal escape-time processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","physics.comp-ph","physics.data-an"],"primary_cat":"q-bio.NC","authors_text":"Andr\\'e Longtin, R\\\"udiger Thul, Wilhelm Braun","submitted_at":"2017-04-27T17:33:32Z","abstract_excerpt":"The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting their applicability. Also, numerical results have mostly been obtained by ad-hoc Monte--Carlo simulations, which are usually computationally expensive when a high degree of accuracy is needed. To gain quantitative insight into these systems under general conditions, we here introduce a numerical iterated first-passage time approach based on solving the time-dependent Fokker-Planck equation (FPE) to describe the statis"},"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":"1704.08669","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-04-27T17:33:32Z","cross_cats_sorted":["math.PR","physics.comp-ph","physics.data-an"],"title_canon_sha256":"a330a07817c656918c56da0975740c232987cf085f154b94cde90c51b17d39e4","abstract_canon_sha256":"803267bf0b5456a3eb0e61c5e59784b87cfcca51e40aaa1065f343e02e2410b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:57.504816Z","signature_b64":"2DFKXH/Hz6VmYSmHGAXcUo+w4fXUMBpTIuTvbHe29fBeep1ZWBUQnbaW0HKBVOXbYR+vBgk+JU9mFrfM0No+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ea208caa0bc0b27baadd4dbadca7705fb417228d108371d0dafd5704b897d6f","last_reissued_at":"2026-05-18T00:42:57.504087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:57.504087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of moments and correlations in non-renewal escape-time processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","physics.comp-ph","physics.data-an"],"primary_cat":"q-bio.NC","authors_text":"Andr\\'e Longtin, R\\\"udiger Thul, Wilhelm Braun","submitted_at":"2017-04-27T17:33:32Z","abstract_excerpt":"The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting their applicability. Also, numerical results have mostly been obtained by ad-hoc Monte--Carlo simulations, which are usually computationally expensive when a high degree of accuracy is needed. To gain quantitative insight into these systems under general conditions, we here introduce a numerical iterated first-passage time approach based on solving the time-dependent Fokker-Planck equation (FPE) to describe the statis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08669","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":"1704.08669","created_at":"2026-05-18T00:42:57.504214+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08669v1","created_at":"2026-05-18T00:42:57.504214+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08669","created_at":"2026-05-18T00:42:57.504214+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2RARSVAXQFS","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2RARSVAXQFSPOVN","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2RARSVA","created_at":"2026-05-18T12:31:39.905425+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/R2RARSVAXQFSPOVN2TN23STXAX","json":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX.json","graph_json":"https://pith.science/api/pith-number/R2RARSVAXQFSPOVN2TN23STXAX/graph.json","events_json":"https://pith.science/api/pith-number/R2RARSVAXQFSPOVN2TN23STXAX/events.json","paper":"https://pith.science/paper/R2RARSVA"},"agent_actions":{"view_html":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX","download_json":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX.json","view_paper":"https://pith.science/paper/R2RARSVA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08669&json=true","fetch_graph":"https://pith.science/api/pith-number/R2RARSVAXQFSPOVN2TN23STXAX/graph.json","fetch_events":"https://pith.science/api/pith-number/R2RARSVAXQFSPOVN2TN23STXAX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX/action/storage_attestation","attest_author":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX/action/author_attestation","sign_citation":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX/action/citation_signature","submit_replication":"https://pith.science/pith/R2RARSVAXQFSPOVN2TN23STXAX/action/replication_record"}},"created_at":"2026-05-18T00:42:57.504214+00:00","updated_at":"2026-05-18T00:42:57.504214+00:00"}