{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SPQ4RLCG4V7T455WAASNX2TNNC","short_pith_number":"pith:SPQ4RLCG","schema_version":"1.0","canonical_sha256":"93e1c8ac46e57f3e77b60024dbea6d68a0b217a5c6987a9557b7565f01da15de","source":{"kind":"arxiv","id":"1604.02307","version":2},"attestation_state":"computed","paper":{"title":"On limit theory for Levy semi-stationary processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas Basse-O'Connor, Claudio Heinrich, Mark Podolskij","submitted_at":"2016-04-08T11:16:22Z","abstract_excerpt":"In this paper we present some limit theorems for power variation of L\\'evy semi-stationary processes in the setting of infill asymptotics. L\\'evy semi-stationary processes, which are a one-dimensional analogue of ambit fields, are moving average type processes with a multiplicative random component, which is usually referred to as volatility or intermittency. From the mathematical point of view this work extends the asymptotic theory investigated in [14], where the authors derived the limit theory for $k$th order increments of stationary increments L\\'evy driven moving averages. The asymptotic"},"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":"1604.02307","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-08T11:16:22Z","cross_cats_sorted":[],"title_canon_sha256":"139af0ecd54c7a4e5c76aab47323240f828bef0a6e9f1f43a46dbeb15d078b78","abstract_canon_sha256":"0d0e0db89bf05457be1be8e869581e6c1a0029417b42a1eee3bdee9c952c3211"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:20.873736Z","signature_b64":"djFZ39NzioLG8hm3Lgw55Hho13COuZ5YAObv6xpMjvVfECcRu38n5SKlthnngCMMUV3BDKKDdmv1+kZ7Ns3UDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93e1c8ac46e57f3e77b60024dbea6d68a0b217a5c6987a9557b7565f01da15de","last_reissued_at":"2026-05-18T01:02:20.873067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:20.873067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On limit theory for Levy semi-stationary processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas Basse-O'Connor, Claudio Heinrich, Mark Podolskij","submitted_at":"2016-04-08T11:16:22Z","abstract_excerpt":"In this paper we present some limit theorems for power variation of L\\'evy semi-stationary processes in the setting of infill asymptotics. L\\'evy semi-stationary processes, which are a one-dimensional analogue of ambit fields, are moving average type processes with a multiplicative random component, which is usually referred to as volatility or intermittency. From the mathematical point of view this work extends the asymptotic theory investigated in [14], where the authors derived the limit theory for $k$th order increments of stationary increments L\\'evy driven moving averages. The asymptotic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02307","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":"1604.02307","created_at":"2026-05-18T01:02:20.873183+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02307v2","created_at":"2026-05-18T01:02:20.873183+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02307","created_at":"2026-05-18T01:02:20.873183+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPQ4RLCG4V7T","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPQ4RLCG4V7T455W","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPQ4RLCG","created_at":"2026-05-18T12:30:44.179134+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/SPQ4RLCG4V7T455WAASNX2TNNC","json":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC.json","graph_json":"https://pith.science/api/pith-number/SPQ4RLCG4V7T455WAASNX2TNNC/graph.json","events_json":"https://pith.science/api/pith-number/SPQ4RLCG4V7T455WAASNX2TNNC/events.json","paper":"https://pith.science/paper/SPQ4RLCG"},"agent_actions":{"view_html":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC","download_json":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC.json","view_paper":"https://pith.science/paper/SPQ4RLCG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02307&json=true","fetch_graph":"https://pith.science/api/pith-number/SPQ4RLCG4V7T455WAASNX2TNNC/graph.json","fetch_events":"https://pith.science/api/pith-number/SPQ4RLCG4V7T455WAASNX2TNNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC/action/storage_attestation","attest_author":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC/action/author_attestation","sign_citation":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC/action/citation_signature","submit_replication":"https://pith.science/pith/SPQ4RLCG4V7T455WAASNX2TNNC/action/replication_record"}},"created_at":"2026-05-18T01:02:20.873183+00:00","updated_at":"2026-05-18T01:02:20.873183+00:00"}