{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:7Z7ZCKPLSTAIPOMRMGELWF6O7M","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"504f2268867bb87310cbaea56a002749ca33f82f9e8b7cc90867a7012363fb74","cross_cats_sorted":["math.PR","quant-ph","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2005-04-04T15:55:40Z","title_canon_sha256":"c144ce0a4b4cf0d1126c8ef715416d5c47b0a79dde43d5d37970899738a90e4b"},"schema_version":"1.0","source":{"id":"math/0504058","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0504058","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0504058v3","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504058","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"7Z7ZCKPLSTAI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7Z7ZCKPLSTAIPOMR","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7Z7ZCKPL","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:0d0b02a6aa68ce7638b6eeb6a1c5ae14971c5459fbe8d1da57fdd7557df0cde9","target":"graph","created_at":"2026-05-18T04:19:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Cristina Butucea, Luis Artiles, Madalin Gu\\c{t}a","cross_cats":["math.PR","quant-ph","stat.TH"],"headline":"","license":"","primary_cat":"math.ST","submitted_at":"2005-04-04T15:55:40Z","title":"Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504058","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3627ac3d8a117d9ce9c16c13c81302ea3942e1bd303cea2fcf2b64bbbb23bdd0","target":"record","created_at":"2026-05-18T04:19:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"504f2268867bb87310cbaea56a002749ca33f82f9e8b7cc90867a7012363fb74","cross_cats_sorted":["math.PR","quant-ph","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2005-04-04T15:55:40Z","title_canon_sha256":"c144ce0a4b4cf0d1126c8ef715416d5c47b0a79dde43d5d37970899738a90e4b"},"schema_version":"1.0","source":{"id":"math/0504058","kind":"arxiv","version":3}},"canonical_sha256":"fe7f9129eb94c087b9916188bb17cefb325ee77fa786577bceaf03d1b4bf5936","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe7f9129eb94c087b9916188bb17cefb325ee77fa786577bceaf03d1b4bf5936","first_computed_at":"2026-05-18T04:19:32.799977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:32.799977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cvGQ8d9yuAiW2bcnyh6nkKErWMKo9xoKbAO4WTFQJLXQfcey15sj0z75ZMOTsHxsUzPVyp+KJUJww71DdEFEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:32.800344Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0504058","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3627ac3d8a117d9ce9c16c13c81302ea3942e1bd303cea2fcf2b64bbbb23bdd0","sha256:0d0b02a6aa68ce7638b6eeb6a1c5ae14971c5459fbe8d1da57fdd7557df0cde9"],"state_sha256":"fb7606f65277887c53d7d72ad3cd085ddbccd7746758fe3730b79b3c8a9ac896"}