{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:W44TZA3MAMCRZUDMKNLW2E5FWN","short_pith_number":"pith:W44TZA3M","schema_version":"1.0","canonical_sha256":"b7393c836c03051cd06c53576d13a5b35284d888f17730b1d0f9a5c08238a122","source":{"kind":"arxiv","id":"1508.02847","version":1},"attestation_state":"computed","paper":{"title":"Fast $L_2$-approximation of integral-type functionals of Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Iurii Ganychenko","submitted_at":"2015-08-12T08:40:02Z","abstract_excerpt":"In this paper, we provide strong $L_2$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2]. Under assumptions on the process formulated only in terms of its transition probability density, we get the accuracy that coincides with that obtained in [3] for a one-dimensional diffusion 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":"1508.02847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-12T08:40:02Z","cross_cats_sorted":[],"title_canon_sha256":"0072ea772c2c257737fc57e28ae4569436d85170bcace21c86c591f911a33fb0","abstract_canon_sha256":"385477408400df2a3fb22e9233f3e19e9a13e39c252db302990c76ba3f5e6715"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:23.670815Z","signature_b64":"ZJCUJisE99pRQRKqNP6R8ObdDAWHU9CQubawJUBjSQYnzL9CZougFUqyFhoUaloavRQzV3paTGnWunH1GLZDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7393c836c03051cd06c53576d13a5b35284d888f17730b1d0f9a5c08238a122","last_reissued_at":"2026-05-18T01:35:23.670184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:23.670184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast $L_2$-approximation of integral-type functionals of Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Iurii Ganychenko","submitted_at":"2015-08-12T08:40:02Z","abstract_excerpt":"In this paper, we provide strong $L_2$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2]. Under assumptions on the process formulated only in terms of its transition probability density, we get the accuracy that coincides with that obtained in [3] for a one-dimensional diffusion process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02847","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":"1508.02847","created_at":"2026-05-18T01:35:23.670256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02847v1","created_at":"2026-05-18T01:35:23.670256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02847","created_at":"2026-05-18T01:35:23.670256+00:00"},{"alias_kind":"pith_short_12","alias_value":"W44TZA3MAMCR","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"W44TZA3MAMCRZUDM","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"W44TZA3M","created_at":"2026-05-18T12:29:47.479230+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/W44TZA3MAMCRZUDMKNLW2E5FWN","json":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN.json","graph_json":"https://pith.science/api/pith-number/W44TZA3MAMCRZUDMKNLW2E5FWN/graph.json","events_json":"https://pith.science/api/pith-number/W44TZA3MAMCRZUDMKNLW2E5FWN/events.json","paper":"https://pith.science/paper/W44TZA3M"},"agent_actions":{"view_html":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN","download_json":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN.json","view_paper":"https://pith.science/paper/W44TZA3M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02847&json=true","fetch_graph":"https://pith.science/api/pith-number/W44TZA3MAMCRZUDMKNLW2E5FWN/graph.json","fetch_events":"https://pith.science/api/pith-number/W44TZA3MAMCRZUDMKNLW2E5FWN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN/action/storage_attestation","attest_author":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN/action/author_attestation","sign_citation":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN/action/citation_signature","submit_replication":"https://pith.science/pith/W44TZA3MAMCRZUDMKNLW2E5FWN/action/replication_record"}},"created_at":"2026-05-18T01:35:23.670256+00:00","updated_at":"2026-05-18T01:35:23.670256+00:00"}