{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MWLBE7LETPGOLOSDEO4PNJGYFP","short_pith_number":"pith:MWLBE7LE","schema_version":"1.0","canonical_sha256":"6596127d649bcce5ba4323b8f6a4d82bee92b4fcdce79e3960d89b5011f07d0b","source":{"kind":"arxiv","id":"1409.2085","version":1},"attestation_state":"computed","paper":{"title":"Stochastic fields with paths in arbitrary rearrangement invariant spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2014-09-07T06:12:49Z","abstract_excerpt":"We obtain sufficient conditions for belonging of almost all paths of a random process to some fixed rearrangement invariant (r.i.) Banach functional space, and to satisfying the Central Limit Theorem (CLT) in this space.\n  We describe also some possible applications."},"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":"1409.2085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-07T06:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"a509849f785e5ccb602854aa67893a1640ae784af2ad7737f633d245157da336","abstract_canon_sha256":"cabf736f43f8af2e8b637887a70c5111c351fb4d58eb6c660471e50fe5a24a6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:17.914923Z","signature_b64":"ms0WX0rj6dBrXobC1whBPmb5T7UsZTO3xWTDj+ny3HE+bH0pVAUTFNyImAI684tOI0c0hJs8Hf2e5XG8P0qLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6596127d649bcce5ba4323b8f6a4d82bee92b4fcdce79e3960d89b5011f07d0b","last_reissued_at":"2026-05-18T02:43:17.914454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:17.914454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic fields with paths in arbitrary rearrangement invariant spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2014-09-07T06:12:49Z","abstract_excerpt":"We obtain sufficient conditions for belonging of almost all paths of a random process to some fixed rearrangement invariant (r.i.) Banach functional space, and to satisfying the Central Limit Theorem (CLT) in this space.\n  We describe also some possible applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2085","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":"1409.2085","created_at":"2026-05-18T02:43:17.914546+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.2085v1","created_at":"2026-05-18T02:43:17.914546+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2085","created_at":"2026-05-18T02:43:17.914546+00:00"},{"alias_kind":"pith_short_12","alias_value":"MWLBE7LETPGO","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MWLBE7LETPGOLOSD","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MWLBE7LE","created_at":"2026-05-18T12:28:38.356838+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/MWLBE7LETPGOLOSDEO4PNJGYFP","json":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP.json","graph_json":"https://pith.science/api/pith-number/MWLBE7LETPGOLOSDEO4PNJGYFP/graph.json","events_json":"https://pith.science/api/pith-number/MWLBE7LETPGOLOSDEO4PNJGYFP/events.json","paper":"https://pith.science/paper/MWLBE7LE"},"agent_actions":{"view_html":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP","download_json":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP.json","view_paper":"https://pith.science/paper/MWLBE7LE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.2085&json=true","fetch_graph":"https://pith.science/api/pith-number/MWLBE7LETPGOLOSDEO4PNJGYFP/graph.json","fetch_events":"https://pith.science/api/pith-number/MWLBE7LETPGOLOSDEO4PNJGYFP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP/action/storage_attestation","attest_author":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP/action/author_attestation","sign_citation":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP/action/citation_signature","submit_replication":"https://pith.science/pith/MWLBE7LETPGOLOSDEO4PNJGYFP/action/replication_record"}},"created_at":"2026-05-18T02:43:17.914546+00:00","updated_at":"2026-05-18T02:43:17.914546+00:00"}