{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HUZHCATE3UH5PDM5IXHPVBX2JM","short_pith_number":"pith:HUZHCATE","schema_version":"1.0","canonical_sha256":"3d32710264dd0fd78d9d45cefa86fa4b1d7cc27d0542f30ca94c46e0d285d080","source":{"kind":"arxiv","id":"1705.00182","version":1},"attestation_state":"computed","paper":{"title":"Lamperti type theorems for random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Vygantas Paulauskas, Youri Davydov","submitted_at":"2017-04-29T12:57:59Z","abstract_excerpt":"In the paper we consider Lamperti type theorems for random fields. Together with known results we present some new results on ${\\mathbb R}^m$-valued self-similar fields $\\{{\\bf X} ({\\bf t}), \\ {\\bf t} \\in {\\mathbb R}^d \\}$, their domains of attraction and the so-called Lamperti transformations, expressing the relation between self-similarity and stationarity. Also we investigate regularly and slowly varying functions of several variables."},"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":"1705.00182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-29T12:57:59Z","cross_cats_sorted":[],"title_canon_sha256":"15d7ef558b5018cf4ee7a80a62fbd84b262cc961af6ad0e924b9a852982f2a7e","abstract_canon_sha256":"f1ecf585506df21ba3c3b8140f5ca9a3f884ab9bd0374f77dc41af4b6a585a7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:21.251208Z","signature_b64":"kh7qEJrKWuJX7JVHxA6oR8NdivJj+NbmQ7z3QO7ScoDcAmw+j68vOjAp7v9QaW4vgQ5fulD+d4uZonpiDLmqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d32710264dd0fd78d9d45cefa86fa4b1d7cc27d0542f30ca94c46e0d285d080","last_reissued_at":"2026-05-18T00:45:21.250563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:21.250563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lamperti type theorems for random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Vygantas Paulauskas, Youri Davydov","submitted_at":"2017-04-29T12:57:59Z","abstract_excerpt":"In the paper we consider Lamperti type theorems for random fields. Together with known results we present some new results on ${\\mathbb R}^m$-valued self-similar fields $\\{{\\bf X} ({\\bf t}), \\ {\\bf t} \\in {\\mathbb R}^d \\}$, their domains of attraction and the so-called Lamperti transformations, expressing the relation between self-similarity and stationarity. Also we investigate regularly and slowly varying functions of several variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00182","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":"1705.00182","created_at":"2026-05-18T00:45:21.250652+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00182v1","created_at":"2026-05-18T00:45:21.250652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00182","created_at":"2026-05-18T00:45:21.250652+00:00"},{"alias_kind":"pith_short_12","alias_value":"HUZHCATE3UH5","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"HUZHCATE3UH5PDM5","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"HUZHCATE","created_at":"2026-05-18T12:31:21.493067+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/HUZHCATE3UH5PDM5IXHPVBX2JM","json":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM.json","graph_json":"https://pith.science/api/pith-number/HUZHCATE3UH5PDM5IXHPVBX2JM/graph.json","events_json":"https://pith.science/api/pith-number/HUZHCATE3UH5PDM5IXHPVBX2JM/events.json","paper":"https://pith.science/paper/HUZHCATE"},"agent_actions":{"view_html":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM","download_json":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM.json","view_paper":"https://pith.science/paper/HUZHCATE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00182&json=true","fetch_graph":"https://pith.science/api/pith-number/HUZHCATE3UH5PDM5IXHPVBX2JM/graph.json","fetch_events":"https://pith.science/api/pith-number/HUZHCATE3UH5PDM5IXHPVBX2JM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM/action/storage_attestation","attest_author":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM/action/author_attestation","sign_citation":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM/action/citation_signature","submit_replication":"https://pith.science/pith/HUZHCATE3UH5PDM5IXHPVBX2JM/action/replication_record"}},"created_at":"2026-05-18T00:45:21.250652+00:00","updated_at":"2026-05-18T00:45:21.250652+00:00"}