{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:T3PBNOOSH5QDZY552V65FJVSQM","short_pith_number":"pith:T3PBNOOS","schema_version":"1.0","canonical_sha256":"9ede16b9d23f603ce3bdd57dd2a6b28328e02dbd9073d3d6f5038e8fe035d70d","source":{"kind":"arxiv","id":"2606.04561","version":1},"attestation_state":"computed","paper":{"title":"Penalized Order Selection for ARFIMA Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Chunhao Cai","submitted_at":"2026-06-03T07:49:16Z","abstract_excerpt":"We study order selection for a finite-order stationary ARFIMA process by minimizing a nested folded-concave penalization of the integrated Toeplitz profile Whittle criterion. The AR and MA orders are encoded through suffix groups, so that exact recovery of the zero tails is equivalent to exact recovery of the orders. The analysis is carried out on a weighted sieve neighborhood whose geometric weights keep growing-lag perturbations from pushing AR or MA roots toward the unit circle. Under finite true orders, coprime root-separated short-memory polynomials, an interior stationary memory paramete"},"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":"2606.04561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-06-03T07:49:16Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"295973fd3d829783b317acbfb22617dd03f512c7b155c4d22ce7e456f351c01e","abstract_canon_sha256":"dfe26e504e325fae47835962ce7ad8e7423a5ca0a792978330ade8d7ae2b0b5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:18.182780Z","signature_b64":"ey9s676D7stIXEGAKsF2ZC/LJEzNpjGuqGptkHV7phA3bnmrHk1kgPJ5jjei2tzi0exLs1dcro9JGpsHvhY2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ede16b9d23f603ce3bdd57dd2a6b28328e02dbd9073d3d6f5038e8fe035d70d","last_reissued_at":"2026-06-04T01:09:18.182165Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:18.182165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Penalized Order Selection for ARFIMA Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Chunhao Cai","submitted_at":"2026-06-03T07:49:16Z","abstract_excerpt":"We study order selection for a finite-order stationary ARFIMA process by minimizing a nested folded-concave penalization of the integrated Toeplitz profile Whittle criterion. The AR and MA orders are encoded through suffix groups, so that exact recovery of the zero tails is equivalent to exact recovery of the orders. The analysis is carried out on a weighted sieve neighborhood whose geometric weights keep growing-lag perturbations from pushing AR or MA roots toward the unit circle. Under finite true orders, coprime root-separated short-memory polynomials, an interior stationary memory paramete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04561","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.04561/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.04561","created_at":"2026-06-04T01:09:18.182272+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.04561v1","created_at":"2026-06-04T01:09:18.182272+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04561","created_at":"2026-06-04T01:09:18.182272+00:00"},{"alias_kind":"pith_short_12","alias_value":"T3PBNOOSH5QD","created_at":"2026-06-04T01:09:18.182272+00:00"},{"alias_kind":"pith_short_16","alias_value":"T3PBNOOSH5QDZY55","created_at":"2026-06-04T01:09:18.182272+00:00"},{"alias_kind":"pith_short_8","alias_value":"T3PBNOOS","created_at":"2026-06-04T01:09:18.182272+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/T3PBNOOSH5QDZY552V65FJVSQM","json":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM.json","graph_json":"https://pith.science/api/pith-number/T3PBNOOSH5QDZY552V65FJVSQM/graph.json","events_json":"https://pith.science/api/pith-number/T3PBNOOSH5QDZY552V65FJVSQM/events.json","paper":"https://pith.science/paper/T3PBNOOS"},"agent_actions":{"view_html":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM","download_json":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM.json","view_paper":"https://pith.science/paper/T3PBNOOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.04561&json=true","fetch_graph":"https://pith.science/api/pith-number/T3PBNOOSH5QDZY552V65FJVSQM/graph.json","fetch_events":"https://pith.science/api/pith-number/T3PBNOOSH5QDZY552V65FJVSQM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM/action/storage_attestation","attest_author":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM/action/author_attestation","sign_citation":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM/action/citation_signature","submit_replication":"https://pith.science/pith/T3PBNOOSH5QDZY552V65FJVSQM/action/replication_record"}},"created_at":"2026-06-04T01:09:18.182272+00:00","updated_at":"2026-06-04T01:09:18.182272+00:00"}