{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MJAIYVARMR6EDYRV373APSFBGM","short_pith_number":"pith:MJAIYVAR","schema_version":"1.0","canonical_sha256":"62408c5411647c41e235dff607c8a13327399c1a940075c0380fc3695cf81692","source":{"kind":"arxiv","id":"1804.00876","version":2},"attestation_state":"computed","paper":{"title":"Persistence of Non-Markovian Gaussian Stationary Processes in Discrete Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ludvig Lizana, Markus Nyberg","submitted_at":"2018-04-03T09:14:28Z","abstract_excerpt":"The persistence of a stochastic variable is the probability that it does not cross a given level during a fixed time interval. Although persistence is a simple concept to understand, it is in general hard to calculate. Here we consider zero mean Gaussian stationary processes in discrete time $n$. Few results are known for the persistence $P_0(n)$ in discrete time, except the large time behavior which is characterized by the nontrivial constant $\\theta$ through $P_0(n)\\sim \\theta^n$. Using a modified version of the Independent Interval Approximation (IIA) that we developed before, we are able t"},"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":"1804.00876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-04-03T09:14:28Z","cross_cats_sorted":[],"title_canon_sha256":"ca7476f23cdca4b75bc7292f7f3b521b0012457144f4b4fb520460e43637136a","abstract_canon_sha256":"eda6b307b8992f3374e60e41054e91de42ab6e0b75a0a41d6708e4721fc5f7ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:25.090106Z","signature_b64":"kp3cQhfcSdrvZUkHOGzKAZpMf153S8FDUzuYoz5GpRKLgSYnd/nfNeTi2KfXiCCiy5NT8AwwGgi6cVOPeAUTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62408c5411647c41e235dff607c8a13327399c1a940075c0380fc3695cf81692","last_reissued_at":"2026-05-18T00:16:25.089636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:25.089636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Persistence of Non-Markovian Gaussian Stationary Processes in Discrete Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ludvig Lizana, Markus Nyberg","submitted_at":"2018-04-03T09:14:28Z","abstract_excerpt":"The persistence of a stochastic variable is the probability that it does not cross a given level during a fixed time interval. Although persistence is a simple concept to understand, it is in general hard to calculate. Here we consider zero mean Gaussian stationary processes in discrete time $n$. Few results are known for the persistence $P_0(n)$ in discrete time, except the large time behavior which is characterized by the nontrivial constant $\\theta$ through $P_0(n)\\sim \\theta^n$. Using a modified version of the Independent Interval Approximation (IIA) that we developed before, we are able t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00876","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":"1804.00876","created_at":"2026-05-18T00:16:25.089705+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.00876v2","created_at":"2026-05-18T00:16:25.089705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00876","created_at":"2026-05-18T00:16:25.089705+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJAIYVARMR6E","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJAIYVARMR6EDYRV","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJAIYVAR","created_at":"2026-05-18T12:32:37.024351+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/MJAIYVARMR6EDYRV373APSFBGM","json":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM.json","graph_json":"https://pith.science/api/pith-number/MJAIYVARMR6EDYRV373APSFBGM/graph.json","events_json":"https://pith.science/api/pith-number/MJAIYVARMR6EDYRV373APSFBGM/events.json","paper":"https://pith.science/paper/MJAIYVAR"},"agent_actions":{"view_html":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM","download_json":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM.json","view_paper":"https://pith.science/paper/MJAIYVAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.00876&json=true","fetch_graph":"https://pith.science/api/pith-number/MJAIYVARMR6EDYRV373APSFBGM/graph.json","fetch_events":"https://pith.science/api/pith-number/MJAIYVARMR6EDYRV373APSFBGM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM/action/storage_attestation","attest_author":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM/action/author_attestation","sign_citation":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM/action/citation_signature","submit_replication":"https://pith.science/pith/MJAIYVARMR6EDYRV373APSFBGM/action/replication_record"}},"created_at":"2026-05-18T00:16:25.089705+00:00","updated_at":"2026-05-18T00:16:25.089705+00:00"}