{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:URG46YQMILRJGXSUROJ3HTPW6S","short_pith_number":"pith:URG46YQM","canonical_record":{"source":{"id":"1207.6313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-26T16:12:54Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"a82f4d9b99dbd4336699c3f20fca2fa011d76563043f82e82e0c5a5f4cfe9d03","abstract_canon_sha256":"22da44efb9be9700a11b6c33bac984d94d511feaabd45c127465cae59fcd21b1"},"schema_version":"1.0"},"canonical_sha256":"a44dcf620c42e2935e548b93b3cdf6f49515f727b6f10849d4f0ed506a45abb6","source":{"kind":"arxiv","id":"1207.6313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6313","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6313v1","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6313","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"pith_short_12","alias_value":"URG46YQMILRJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"URG46YQMILRJGXSU","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"URG46YQM","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:URG46YQMILRJGXSUROJ3HTPW6S","target":"record","payload":{"canonical_record":{"source":{"id":"1207.6313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-26T16:12:54Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"a82f4d9b99dbd4336699c3f20fca2fa011d76563043f82e82e0c5a5f4cfe9d03","abstract_canon_sha256":"22da44efb9be9700a11b6c33bac984d94d511feaabd45c127465cae59fcd21b1"},"schema_version":"1.0"},"canonical_sha256":"a44dcf620c42e2935e548b93b3cdf6f49515f727b6f10849d4f0ed506a45abb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:07.024933Z","signature_b64":"jFYwaT4TfDARzrbx3bin60XdpwP9WSuqJZz+Hu7fyrrWuAMiyMMyolaSskWF2Z39KFnY1myY+e9HoO8SbS0mCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a44dcf620c42e2935e548b93b3cdf6f49515f727b6f10849d4f0ed506a45abb6","last_reissued_at":"2026-05-18T01:56:07.024434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:07.024434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.6313","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:56:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KIqxdAPK1aZtZ89ilscKl40euXeMsGr4ONT5tdZk3pzIceDyj1ldqnTDX5tvlmstLJ+hMt5AW4tFZql7gGa5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:07:45.710080Z"},"content_sha256":"0e64b6d21d241641a3899bd2922337bc30217e0f6c11fb588c9b157f8b4279d4","schema_version":"1.0","event_id":"sha256:0e64b6d21d241641a3899bd2922337bc30217e0f6c11fb588c9b157f8b4279d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:URG46YQMILRJGXSUROJ3HTPW6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A CLT on the SNR of Diagonally Loaded MVDR Filters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Francisco Rubio, Walid Hachem, Xavier Mestre","submitted_at":"2012-07-26T16:12:54Z","abstract_excerpt":"This paper studies the fluctuations of the signal-to-noise ratio (SNR) of minimum variance distorsionless response (MVDR) filters implementing diagonal loading in the estimation of the covariance matrix. Previous results in the signal processing literature are generalized and extended by considering both spatially as well as temporarily correlated samples. Specifically, a central limit theorem (CLT) is established for the fluctuations of the SNR of the diagonally loaded MVDR filter, under both supervised and unsupervised training settings in adaptive filtering applications. Our second-order an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6313","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:56:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0QlwpkdKuBzNZzXmfDnfWJZZkM30a5XD4HhX6vNC3OQeIJ36jRRrpTU8fu4vKEaglOYtLzlGbCZUrK0F7sZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:07:45.710462Z"},"content_sha256":"93ee92f93f074c33789c9df3539a171b70ea81587ffefbbefe35bd8cea2a603b","schema_version":"1.0","event_id":"sha256:93ee92f93f074c33789c9df3539a171b70ea81587ffefbbefe35bd8cea2a603b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/URG46YQMILRJGXSUROJ3HTPW6S/bundle.json","state_url":"https://pith.science/pith/URG46YQMILRJGXSUROJ3HTPW6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/URG46YQMILRJGXSUROJ3HTPW6S/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T17:07:45Z","links":{"resolver":"https://pith.science/pith/URG46YQMILRJGXSUROJ3HTPW6S","bundle":"https://pith.science/pith/URG46YQMILRJGXSUROJ3HTPW6S/bundle.json","state":"https://pith.science/pith/URG46YQMILRJGXSUROJ3HTPW6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/URG46YQMILRJGXSUROJ3HTPW6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:URG46YQMILRJGXSUROJ3HTPW6S","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":"22da44efb9be9700a11b6c33bac984d94d511feaabd45c127465cae59fcd21b1","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-26T16:12:54Z","title_canon_sha256":"a82f4d9b99dbd4336699c3f20fca2fa011d76563043f82e82e0c5a5f4cfe9d03"},"schema_version":"1.0","source":{"id":"1207.6313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6313","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6313v1","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6313","created_at":"2026-05-18T01:56:07Z"},{"alias_kind":"pith_short_12","alias_value":"URG46YQMILRJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"URG46YQMILRJGXSU","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"URG46YQM","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:93ee92f93f074c33789c9df3539a171b70ea81587ffefbbefe35bd8cea2a603b","target":"graph","created_at":"2026-05-18T01:56:07Z","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":"This paper studies the fluctuations of the signal-to-noise ratio (SNR) of minimum variance distorsionless response (MVDR) filters implementing diagonal loading in the estimation of the covariance matrix. Previous results in the signal processing literature are generalized and extended by considering both spatially as well as temporarily correlated samples. Specifically, a central limit theorem (CLT) is established for the fluctuations of the SNR of the diagonally loaded MVDR filter, under both supervised and unsupervised training settings in adaptive filtering applications. Our second-order an","authors_text":"Francisco Rubio, Walid Hachem, Xavier Mestre","cross_cats":["math.IT","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-26T16:12:54Z","title":"A CLT on the SNR of Diagonally Loaded MVDR Filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6313","kind":"arxiv","version":1},"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":"sha256:0e64b6d21d241641a3899bd2922337bc30217e0f6c11fb588c9b157f8b4279d4","target":"record","created_at":"2026-05-18T01:56:07Z","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":"22da44efb9be9700a11b6c33bac984d94d511feaabd45c127465cae59fcd21b1","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-26T16:12:54Z","title_canon_sha256":"a82f4d9b99dbd4336699c3f20fca2fa011d76563043f82e82e0c5a5f4cfe9d03"},"schema_version":"1.0","source":{"id":"1207.6313","kind":"arxiv","version":1}},"canonical_sha256":"a44dcf620c42e2935e548b93b3cdf6f49515f727b6f10849d4f0ed506a45abb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a44dcf620c42e2935e548b93b3cdf6f49515f727b6f10849d4f0ed506a45abb6","first_computed_at":"2026-05-18T01:56:07.024434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:07.024434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jFYwaT4TfDARzrbx3bin60XdpwP9WSuqJZz+Hu7fyrrWuAMiyMMyolaSskWF2Z39KFnY1myY+e9HoO8SbS0mCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:07.024933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e64b6d21d241641a3899bd2922337bc30217e0f6c11fb588c9b157f8b4279d4","sha256:93ee92f93f074c33789c9df3539a171b70ea81587ffefbbefe35bd8cea2a603b"],"state_sha256":"cc62aac81ab70b51d13f84de5a41564ebead8a3edf77a28ff44770076781b613"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sLQbdHlQ6ke5NFdieiUgrW/DVOWpt5DUnSWr5f2bcLCC2Hq9Pf2+3VvNPx9VVDyS1+GEkWdNM+2l/Nrmm14GCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:07:45.712665Z","bundle_sha256":"cb1ea031b4114f9b9154654ad4f34a531e97f0233317cc717b8e8f2d30c95ea5"}}