{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FO7GOJ3RSO3IVPXPOYBW6HWZPV","short_pith_number":"pith:FO7GOJ3R","schema_version":"1.0","canonical_sha256":"2bbe67277193b68abeef76036f1ed97d6f6e5631498f6cb38f9d646313bcd14f","source":{"kind":"arxiv","id":"1302.4815","version":2},"attestation_state":"computed","paper":{"title":"Contemporaneous aggregation of triangular array of random-coefficient AR(1) processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anne Philippe (LMJL), Donata Puplinskaite (LMJL), Donatas Surgailis","submitted_at":"2013-02-20T05:50:35Z","abstract_excerpt":"We discuss contemporaneous aggregation of independent copies of a triangular array of random-coefficient AR(1) processes with i.i.d. innovations belonging to the domain of attraction of an infinitely divisible law W. The limiting aggregated process is shown to exist, under general assumptions on W and the mixing distribution, and is represented as a mixed infinitely divisible moving-average. Partial sums process of $ is discussed under the assumption E(W^2) is finite and a mixing density regularly varying at the \"unit root\" x=1 with exponent \\beta >0. We show that the above partial sums proces"},"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":"1302.4815","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-20T05:50:35Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6cc4b11020c0f6f34e9392967d689202a03c3dfcf0f1f72ad5f1c97c7483a5c6","abstract_canon_sha256":"3ef3dde07d3a60d92809d35ea29dcee7a9dcc00dd100aa07710a58f3359bd47a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:04.379118Z","signature_b64":"5896e+6wM/SkFlndWCn1tQfCBZzvX5w69/6pZbAFoEA07GO8UlDSA8cBjenwt1kvMTcxZeqrNQYxRe3c/P/vAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bbe67277193b68abeef76036f1ed97d6f6e5631498f6cb38f9d646313bcd14f","last_reissued_at":"2026-05-18T03:19:04.378495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:04.378495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contemporaneous aggregation of triangular array of random-coefficient AR(1) processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anne Philippe (LMJL), Donata Puplinskaite (LMJL), Donatas Surgailis","submitted_at":"2013-02-20T05:50:35Z","abstract_excerpt":"We discuss contemporaneous aggregation of independent copies of a triangular array of random-coefficient AR(1) processes with i.i.d. innovations belonging to the domain of attraction of an infinitely divisible law W. The limiting aggregated process is shown to exist, under general assumptions on W and the mixing distribution, and is represented as a mixed infinitely divisible moving-average. Partial sums process of $ is discussed under the assumption E(W^2) is finite and a mixing density regularly varying at the \"unit root\" x=1 with exponent \\beta >0. We show that the above partial sums proces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4815","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":"1302.4815","created_at":"2026-05-18T03:19:04.378609+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.4815v2","created_at":"2026-05-18T03:19:04.378609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4815","created_at":"2026-05-18T03:19:04.378609+00:00"},{"alias_kind":"pith_short_12","alias_value":"FO7GOJ3RSO3I","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FO7GOJ3RSO3IVPXP","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FO7GOJ3R","created_at":"2026-05-18T12:27:45.050594+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/FO7GOJ3RSO3IVPXPOYBW6HWZPV","json":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV.json","graph_json":"https://pith.science/api/pith-number/FO7GOJ3RSO3IVPXPOYBW6HWZPV/graph.json","events_json":"https://pith.science/api/pith-number/FO7GOJ3RSO3IVPXPOYBW6HWZPV/events.json","paper":"https://pith.science/paper/FO7GOJ3R"},"agent_actions":{"view_html":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV","download_json":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV.json","view_paper":"https://pith.science/paper/FO7GOJ3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.4815&json=true","fetch_graph":"https://pith.science/api/pith-number/FO7GOJ3RSO3IVPXPOYBW6HWZPV/graph.json","fetch_events":"https://pith.science/api/pith-number/FO7GOJ3RSO3IVPXPOYBW6HWZPV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV/action/storage_attestation","attest_author":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV/action/author_attestation","sign_citation":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV/action/citation_signature","submit_replication":"https://pith.science/pith/FO7GOJ3RSO3IVPXPOYBW6HWZPV/action/replication_record"}},"created_at":"2026-05-18T03:19:04.378609+00:00","updated_at":"2026-05-18T03:19:04.378609+00:00"}