{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:4ZH2JNLNPU4VN5FWNU2HLILZLX","short_pith_number":"pith:4ZH2JNLN","schema_version":"1.0","canonical_sha256":"e64fa4b56d7d3956f4b66d3475a1795def8b6033539fb0328746eaa807343eee","source":{"kind":"arxiv","id":"0901.4186","version":1},"attestation_state":"computed","paper":{"title":"Testing distribution in deconvolution problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Denys Pommeret","submitted_at":"2009-01-27T07:24:08Z","abstract_excerpt":"In this paper we consider a random variable $Y$ contamined by an independent additive noise $Z$. We assume that $Z$ has known distribution. Our purpose is to test the distribution of the unobserved random variable $Y$. We propose a data driven statistic based on a development of the density of $Y+Z$, which is valid in the discrete case and in the continuous case. The test is illustrated in both cases."},"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":"0901.4186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-01-27T07:24:08Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c57524ed957a8ebf7dd161a2527f584a337826df015b5175df2e5a6ebc466de9","abstract_canon_sha256":"68c870d411502f373932f95c09985f9fc4e68101a3d790d6f5e3e5ec2db64524"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:56.478746Z","signature_b64":"uuacYFvwoRQVofC3fSqzi6FlXMLGoWsjA8rmuhPmam7EwQWYhW+Axm5yik1d+S3nsQppXUgaF7d23+KOD6AfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e64fa4b56d7d3956f4b66d3475a1795def8b6033539fb0328746eaa807343eee","last_reissued_at":"2026-07-04T15:36:56.478368Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:56.478368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing distribution in deconvolution problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Denys Pommeret","submitted_at":"2009-01-27T07:24:08Z","abstract_excerpt":"In this paper we consider a random variable $Y$ contamined by an independent additive noise $Z$. We assume that $Z$ has known distribution. Our purpose is to test the distribution of the unobserved random variable $Y$. We propose a data driven statistic based on a development of the density of $Y+Z$, which is valid in the discrete case and in the continuous case. The test is illustrated in both cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4186","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/0901.4186/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":"0901.4186","created_at":"2026-07-04T15:36:56.478455+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.4186v1","created_at":"2026-07-04T15:36:56.478455+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4186","created_at":"2026-07-04T15:36:56.478455+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ZH2JNLNPU4V","created_at":"2026-07-04T15:36:56.478455+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ZH2JNLNPU4VN5FW","created_at":"2026-07-04T15:36:56.478455+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ZH2JNLN","created_at":"2026-07-04T15:36:56.478455+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/4ZH2JNLNPU4VN5FWNU2HLILZLX","json":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX.json","graph_json":"https://pith.science/api/pith-number/4ZH2JNLNPU4VN5FWNU2HLILZLX/graph.json","events_json":"https://pith.science/api/pith-number/4ZH2JNLNPU4VN5FWNU2HLILZLX/events.json","paper":"https://pith.science/paper/4ZH2JNLN"},"agent_actions":{"view_html":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX","download_json":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX.json","view_paper":"https://pith.science/paper/4ZH2JNLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.4186&json=true","fetch_graph":"https://pith.science/api/pith-number/4ZH2JNLNPU4VN5FWNU2HLILZLX/graph.json","fetch_events":"https://pith.science/api/pith-number/4ZH2JNLNPU4VN5FWNU2HLILZLX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX/action/storage_attestation","attest_author":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX/action/author_attestation","sign_citation":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX/action/citation_signature","submit_replication":"https://pith.science/pith/4ZH2JNLNPU4VN5FWNU2HLILZLX/action/replication_record"}},"created_at":"2026-07-04T15:36:56.478455+00:00","updated_at":"2026-07-04T15:36:56.478455+00:00"}