{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:BLYYYG5NCOXK5OSTHGK2JL44RA","short_pith_number":"pith:BLYYYG5N","schema_version":"1.0","canonical_sha256":"0af18c1bad13aeaeba533995a4af9c882bba9f7e96643631c0b0726fb44de65a","source":{"kind":"arxiv","id":"2506.09165","version":2},"attestation_state":"computed","paper":{"title":"Identifiability and Estimation in High-Dimensional Nonparametric Latent Structure Models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Pengkun Yang, Yichen Lyu","submitted_at":"2025-06-10T18:27:07Z","abstract_excerpt":"This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework applicable to diverse statistical settings. Our results rigorously demonstrate how increased dimensionality, coupled with diversity in variables, inherently facilitates identifiability. For the estimation problem, we establish near-optimal minimax rate bounds for the high-dimensional nonparametric density estimation under latent structures with smooth marginals."},"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":"2506.09165","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2025-06-10T18:27:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"74945dc47582120211679cb445fabb551142b95d45b5bcc3649b2524c3e65fc2","abstract_canon_sha256":"a5559812a7f9106dd71da254c4a3925d4d805cbeed891b4bdd5d4bfd5f97c38c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:49.832041Z","signature_b64":"59Y4fFKKdIAxfAvJcoLmToCu0STudR1PmMw0d7fgetXkoDG03/TEBrMy2rsRET0Aq1OEFrdiRybGfgTlbHGxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0af18c1bad13aeaeba533995a4af9c882bba9f7e96643631c0b0726fb44de65a","last_reissued_at":"2026-07-05T11:48:49.831529Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:49.831529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Identifiability and Estimation in High-Dimensional Nonparametric Latent Structure Models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Pengkun Yang, Yichen Lyu","submitted_at":"2025-06-10T18:27:07Z","abstract_excerpt":"This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework applicable to diverse statistical settings. Our results rigorously demonstrate how increased dimensionality, coupled with diversity in variables, inherently facilitates identifiability. For the estimation problem, we establish near-optimal minimax rate bounds for the high-dimensional nonparametric density estimation under latent structures with smooth marginals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09165","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.09165/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":"2506.09165","created_at":"2026-07-05T11:48:49.831595+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.09165v2","created_at":"2026-07-05T11:48:49.831595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09165","created_at":"2026-07-05T11:48:49.831595+00:00"},{"alias_kind":"pith_short_12","alias_value":"BLYYYG5NCOXK","created_at":"2026-07-05T11:48:49.831595+00:00"},{"alias_kind":"pith_short_16","alias_value":"BLYYYG5NCOXK5OST","created_at":"2026-07-05T11:48:49.831595+00:00"},{"alias_kind":"pith_short_8","alias_value":"BLYYYG5N","created_at":"2026-07-05T11:48:49.831595+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/BLYYYG5NCOXK5OSTHGK2JL44RA","json":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA.json","graph_json":"https://pith.science/api/pith-number/BLYYYG5NCOXK5OSTHGK2JL44RA/graph.json","events_json":"https://pith.science/api/pith-number/BLYYYG5NCOXK5OSTHGK2JL44RA/events.json","paper":"https://pith.science/paper/BLYYYG5N"},"agent_actions":{"view_html":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA","download_json":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA.json","view_paper":"https://pith.science/paper/BLYYYG5N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.09165&json=true","fetch_graph":"https://pith.science/api/pith-number/BLYYYG5NCOXK5OSTHGK2JL44RA/graph.json","fetch_events":"https://pith.science/api/pith-number/BLYYYG5NCOXK5OSTHGK2JL44RA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA/action/storage_attestation","attest_author":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA/action/author_attestation","sign_citation":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA/action/citation_signature","submit_replication":"https://pith.science/pith/BLYYYG5NCOXK5OSTHGK2JL44RA/action/replication_record"}},"created_at":"2026-07-05T11:48:49.831595+00:00","updated_at":"2026-07-05T11:48:49.831595+00:00"}