{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CYAORJYF5QPMSWKBPOQU4V7Q4F","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":"c2605521ef5b762e3c8a1d6008eb6ecec829a606e750d15237ca66fc808ba54f","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-07-24T23:37:54Z","title_canon_sha256":"a21409fbe75f0d55e5f9e6db9ccd7b6f65ac904b229d97ce2ce1451697cf3c3f"},"schema_version":"1.0","source":{"id":"1307.6610","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6610","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6610v2","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6610","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"CYAORJYF5QPM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CYAORJYF5QPMSWKB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CYAORJYF","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e623a03bb15be07b751b8ab12e0d4038c46321bbc2e7bf496e256319884c924c","target":"graph","created_at":"2026-05-18T02:52:34Z","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":"If a functional in an inverse problem can be estimated with parametric rate, then the minimax rate gives no information about the ill-posedness of the problem. To have a more precise lower bound, we study semiparametric efficiency in the sense of H\\'ajek-Le Cam for functional estimation in regular indirect models. These are characterized as models that can be locally approximated by a linear white noise model that is described by the generalized score operator. A convolution theorem for regular indirect models is proved. This applies to a large class of statistical inverse problems, which is i","authors_text":"Mathias Trabs","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-07-24T23:37:54Z","title":"Information bounds for inverse problems with application to deconvolution and L\\'evy models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6610","kind":"arxiv","version":2},"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:c85678e5ab023a03d912a23aefbc0fecebcc446222963236907de56970df7269","target":"record","created_at":"2026-05-18T02:52:34Z","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":"c2605521ef5b762e3c8a1d6008eb6ecec829a606e750d15237ca66fc808ba54f","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-07-24T23:37:54Z","title_canon_sha256":"a21409fbe75f0d55e5f9e6db9ccd7b6f65ac904b229d97ce2ce1451697cf3c3f"},"schema_version":"1.0","source":{"id":"1307.6610","kind":"arxiv","version":2}},"canonical_sha256":"1600e8a705ec1ec959417ba14e57f0e14a339d3be87b3a2a4fe7a747503442c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1600e8a705ec1ec959417ba14e57f0e14a339d3be87b3a2a4fe7a747503442c0","first_computed_at":"2026-05-18T02:52:34.562289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:34.562289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eGGdbgwskMi0wTBqo8F9mXyFnTMjJklyq92QlQVTKwgqaMC769yJSr+liiI/j8Sh9h52Mbno1znUuZRk2/u1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:34.562789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6610","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c85678e5ab023a03d912a23aefbc0fecebcc446222963236907de56970df7269","sha256:e623a03bb15be07b751b8ab12e0d4038c46321bbc2e7bf496e256319884c924c"],"state_sha256":"e0b1c9f4525f99d16118dde11275ca505888a61b37ed75cd9c33c70980ea777a"}