{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CBF7WCZSNPA3ARI5XKOIBOOSY7","short_pith_number":"pith:CBF7WCZS","canonical_record":{"source":{"id":"1807.08936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-07-24T07:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"f794cf879cf9b19d7c6922e47f6140f356a2770a2e3f6e1d421098aaa566d844","abstract_canon_sha256":"768b357fba686835bb88a9e9b2c674d77f05a2f821a88a68d42f3fea57f7d4b8"},"schema_version":"1.0"},"canonical_sha256":"104bfb0b326bc1b0451dba9c80b9d2c7f074e77354ee29d0e7b71f2957b53264","source":{"kind":"arxiv","id":"1807.08936","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08936","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08936v2","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08936","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"pith_short_12","alias_value":"CBF7WCZSNPA3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CBF7WCZSNPA3ARI5","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CBF7WCZS","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CBF7WCZSNPA3ARI5XKOIBOOSY7","target":"record","payload":{"canonical_record":{"source":{"id":"1807.08936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-07-24T07:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"f794cf879cf9b19d7c6922e47f6140f356a2770a2e3f6e1d421098aaa566d844","abstract_canon_sha256":"768b357fba686835bb88a9e9b2c674d77f05a2f821a88a68d42f3fea57f7d4b8"},"schema_version":"1.0"},"canonical_sha256":"104bfb0b326bc1b0451dba9c80b9d2c7f074e77354ee29d0e7b71f2957b53264","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:52.619623Z","signature_b64":"RdVFnc5qNH0Lmx2hfrHwVMt2/BMbwamzwsT3JyvkkEPPYUKBvOwlWXYgMCaRh1sFlJajJEnJDMZPxSuRR/zBBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"104bfb0b326bc1b0451dba9c80b9d2c7f074e77354ee29d0e7b71f2957b53264","last_reissued_at":"2026-05-17T23:52:52.618986Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:52.618986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.08936","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hybYX/eW7a/gQRB7m/XseWy/NIoiPajaaf64OUHnRuuoDeTS1X02h3PMAhm+gjndG5nYzvkiFFuX2133OKFOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:06:35.420532Z"},"content_sha256":"466e50565ca57127b45526f86843b11ade00d5c38a15a6650a6c84d7ee064c42","schema_version":"1.0","event_id":"sha256:466e50565ca57127b45526f86843b11ade00d5c38a15a6650a6c84d7ee064c42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CBF7WCZSNPA3ARI5XKOIBOOSY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiparametric Slepian-Bangs Formula for Complex Elliptically Symmetric Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Abdelhak M. Zoubir, Fulvio Gini, Maria S. Greco, Stefano Fortunati","submitted_at":"2018-07-24T07:45:35Z","abstract_excerpt":"This letter aims at deriving a Semiparametric Slepian-Bangs (SSB) formula for Complex Elliptically Symmetric (CES) distributed data vectors. The Semiparametric Cram\\'{e}r-Rao Bound (SCRB), related to the proposed SSB formula, provides a lower bound on the Mean Square Error (MSE) of \\textit{any} robust estimator of a parameter vector parameterizing the mean vector and the scatter matrix of the given CES-distributed vector in the presence of an unknown, nuisance, density generator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08936","kind":"arxiv","version":2},"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":"2026-05-17T23:52:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P4cuNysKsBrB9vto/2VO2cOCmQ+qk7x1xb79lIGPOfgyGPktGCcARKCJ0Zc/Pjx4vvg6Q/2RowprTftCAMZSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:06:35.421230Z"},"content_sha256":"0aebb1ec9d391e467e9280eea511810a86f9350343b31969466ca0f31b4ee598","schema_version":"1.0","event_id":"sha256:0aebb1ec9d391e467e9280eea511810a86f9350343b31969466ca0f31b4ee598"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/bundle.json","state_url":"https://pith.science/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/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":"2026-06-10T00:06:35Z","links":{"resolver":"https://pith.science/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7","bundle":"https://pith.science/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/bundle.json","state":"https://pith.science/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CBF7WCZSNPA3ARI5XKOIBOOSY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CBF7WCZSNPA3ARI5XKOIBOOSY7","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":"768b357fba686835bb88a9e9b2c674d77f05a2f821a88a68d42f3fea57f7d4b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-07-24T07:45:35Z","title_canon_sha256":"f794cf879cf9b19d7c6922e47f6140f356a2770a2e3f6e1d421098aaa566d844"},"schema_version":"1.0","source":{"id":"1807.08936","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08936","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08936v2","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08936","created_at":"2026-05-17T23:52:52Z"},{"alias_kind":"pith_short_12","alias_value":"CBF7WCZSNPA3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CBF7WCZSNPA3ARI5","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CBF7WCZS","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:0aebb1ec9d391e467e9280eea511810a86f9350343b31969466ca0f31b4ee598","target":"graph","created_at":"2026-05-17T23:52:52Z","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 letter aims at deriving a Semiparametric Slepian-Bangs (SSB) formula for Complex Elliptically Symmetric (CES) distributed data vectors. The Semiparametric Cram\\'{e}r-Rao Bound (SCRB), related to the proposed SSB formula, provides a lower bound on the Mean Square Error (MSE) of \\textit{any} robust estimator of a parameter vector parameterizing the mean vector and the scatter matrix of the given CES-distributed vector in the presence of an unknown, nuisance, density generator.","authors_text":"Abdelhak M. Zoubir, Fulvio Gini, Maria S. Greco, Stefano Fortunati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-07-24T07:45:35Z","title":"Semiparametric Slepian-Bangs Formula for Complex Elliptically Symmetric Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08936","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":"sha256:466e50565ca57127b45526f86843b11ade00d5c38a15a6650a6c84d7ee064c42","target":"record","created_at":"2026-05-17T23:52:52Z","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":"768b357fba686835bb88a9e9b2c674d77f05a2f821a88a68d42f3fea57f7d4b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-07-24T07:45:35Z","title_canon_sha256":"f794cf879cf9b19d7c6922e47f6140f356a2770a2e3f6e1d421098aaa566d844"},"schema_version":"1.0","source":{"id":"1807.08936","kind":"arxiv","version":2}},"canonical_sha256":"104bfb0b326bc1b0451dba9c80b9d2c7f074e77354ee29d0e7b71f2957b53264","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"104bfb0b326bc1b0451dba9c80b9d2c7f074e77354ee29d0e7b71f2957b53264","first_computed_at":"2026-05-17T23:52:52.618986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:52.618986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RdVFnc5qNH0Lmx2hfrHwVMt2/BMbwamzwsT3JyvkkEPPYUKBvOwlWXYgMCaRh1sFlJajJEnJDMZPxSuRR/zBBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:52.619623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.08936","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:466e50565ca57127b45526f86843b11ade00d5c38a15a6650a6c84d7ee064c42","sha256:0aebb1ec9d391e467e9280eea511810a86f9350343b31969466ca0f31b4ee598"],"state_sha256":"af227e135135f6ce5f71a3a6df208d30037e09b7679098ddc27eb97e980e0f95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TFB0rLt0+o1GmkQBpsUoNaAOb14Jtl763tlDnG0su2319ygY4rh5M9kIeShXIP6jAVQ3QrL0JAgd6wftk4+qCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T00:06:35.425122Z","bundle_sha256":"582ada787dfecb09ab62b949d20b4cf6d31f23d577cf7eac26b2699bf36fec7a"}}