{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:7Z7ZCKPLSTAIPOMRMGELWF6O7M","short_pith_number":"pith:7Z7ZCKPL","schema_version":"1.0","canonical_sha256":"fe7f9129eb94c087b9916188bb17cefb325ee77fa786577bceaf03d1b4bf5936","source":{"kind":"arxiv","id":"math/0504058","version":3},"attestation_state":"computed","paper":{"title":"Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data","license":"","headline":"","cross_cats":["math.PR","quant-ph","stat.TH"],"primary_cat":"math.ST","authors_text":"Cristina Butucea, Luis Artiles, Madalin Gu\\c{t}a","submitted_at":"2005-04-04T15:55:40Z","abstract_excerpt":"We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on $\\mathbb{R}^2$ which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics. The effect of the losses due to detection inefficiencies, which are always present in a real experiment, is the addition to the tomographic data of independent Gaussian noise. We construct a kernel estimator for the Wigner function, prove tha"},"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":"math/0504058","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2005-04-04T15:55:40Z","cross_cats_sorted":["math.PR","quant-ph","stat.TH"],"title_canon_sha256":"c144ce0a4b4cf0d1126c8ef715416d5c47b0a79dde43d5d37970899738a90e4b","abstract_canon_sha256":"504f2268867bb87310cbaea56a002749ca33f82f9e8b7cc90867a7012363fb74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:32.800344Z","signature_b64":"cvGQ8d9yuAiW2bcnyh6nkKErWMKo9xoKbAO4WTFQJLXQfcey15sj0z75ZMOTsHxsUzPVyp+KJUJww71DdEFEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe7f9129eb94c087b9916188bb17cefb325ee77fa786577bceaf03d1b4bf5936","last_reissued_at":"2026-05-18T04:19:32.799977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:32.799977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data","license":"","headline":"","cross_cats":["math.PR","quant-ph","stat.TH"],"primary_cat":"math.ST","authors_text":"Cristina Butucea, Luis Artiles, Madalin Gu\\c{t}a","submitted_at":"2005-04-04T15:55:40Z","abstract_excerpt":"We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on $\\mathbb{R}^2$ which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics. The effect of the losses due to detection inefficiencies, which are always present in a real experiment, is the addition to the tomographic data of independent Gaussian noise. We construct a kernel estimator for the Wigner function, prove tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504058","kind":"arxiv","version":3},"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":"math/0504058","created_at":"2026-05-18T04:19:32.800029+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0504058v3","created_at":"2026-05-18T04:19:32.800029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504058","created_at":"2026-05-18T04:19:32.800029+00:00"},{"alias_kind":"pith_short_12","alias_value":"7Z7ZCKPLSTAI","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"7Z7ZCKPLSTAIPOMR","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"7Z7ZCKPL","created_at":"2026-05-18T12:25:53.335082+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/7Z7ZCKPLSTAIPOMRMGELWF6O7M","json":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M.json","graph_json":"https://pith.science/api/pith-number/7Z7ZCKPLSTAIPOMRMGELWF6O7M/graph.json","events_json":"https://pith.science/api/pith-number/7Z7ZCKPLSTAIPOMRMGELWF6O7M/events.json","paper":"https://pith.science/paper/7Z7ZCKPL"},"agent_actions":{"view_html":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M","download_json":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M.json","view_paper":"https://pith.science/paper/7Z7ZCKPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0504058&json=true","fetch_graph":"https://pith.science/api/pith-number/7Z7ZCKPLSTAIPOMRMGELWF6O7M/graph.json","fetch_events":"https://pith.science/api/pith-number/7Z7ZCKPLSTAIPOMRMGELWF6O7M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M/action/storage_attestation","attest_author":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M/action/author_attestation","sign_citation":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M/action/citation_signature","submit_replication":"https://pith.science/pith/7Z7ZCKPLSTAIPOMRMGELWF6O7M/action/replication_record"}},"created_at":"2026-05-18T04:19:32.800029+00:00","updated_at":"2026-05-18T04:19:32.800029+00:00"}