{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IP55JNWWJD4K3P6AESJGWHCTQE","short_pith_number":"pith:IP55JNWW","canonical_record":{"source":{"id":"1801.00668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-01-02T14:38:16Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"133749444a63c29365ae2a26d3f5414031c1e17c702124abc53f0e6e414ad44e","abstract_canon_sha256":"116e4a764fc079d4857c93ff9784a844efcbb601e1e793b716567ae6e1ca9a30"},"schema_version":"1.0"},"canonical_sha256":"43fbd4b6d648f8adbfc024926b1c5381084f9023db8737239694716c3c5e2a9c","source":{"kind":"arxiv","id":"1801.00668","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00668","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00668v1","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00668","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"IP55JNWWJD4K","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IP55JNWWJD4K3P6A","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IP55JNWW","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IP55JNWWJD4K3P6AESJGWHCTQE","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-01-02T14:38:16Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"133749444a63c29365ae2a26d3f5414031c1e17c702124abc53f0e6e414ad44e","abstract_canon_sha256":"116e4a764fc079d4857c93ff9784a844efcbb601e1e793b716567ae6e1ca9a30"},"schema_version":"1.0"},"canonical_sha256":"43fbd4b6d648f8adbfc024926b1c5381084f9023db8737239694716c3c5e2a9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:52.692627Z","signature_b64":"TdeZ72iAl5xmolW5of4hqsQoO/yj84tOpBsfMHYLguAXRzaJQJiXFgPbl+UI2714nZwswLd2DYqmxn5ojUWrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43fbd4b6d648f8adbfc024926b1c5381084f9023db8737239694716c3c5e2a9c","last_reissued_at":"2026-05-18T00:26:52.691948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:52.691948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00668","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":"2026-05-18T00:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOX5bpQtdnDoaA5vevfAqdCVXs4/HLjAhIbGNNmSFO87+9OqJutrzRGydtRiZXJgSjqvPJZyldiZRS6D8Kr1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:18:38.428529Z"},"content_sha256":"d1a0f07e55075c28e98d34eed0b706d4380b6f29e606f71eacd3211c990089a9","schema_version":"1.0","event_id":"sha256:d1a0f07e55075c28e98d34eed0b706d4380b6f29e606f71eacd3211c990089a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IP55JNWWJD4K3P6AESJGWHCTQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Euler Complex-Valued Nonlinear Filters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"stat.ML","authors_text":"Defang Li, Jiashu Zhang, Sheng Zhang","submitted_at":"2018-01-02T14:38:16Z","abstract_excerpt":"Over the last decade, both the neural network and kernel adaptive filter have successfully been used for nonlinear signal processing. However, they suffer from high computational cost caused by their complex/growing network structures. In this paper, we propose two random Euler filters for complex-valued nonlinear filtering problem, i.e., linear random Euler complex-valued filter (LRECF) and its widely-linear version (WLRECF), which possess a simple and fixed network structure. The transient and steady-state performances are studied in a non-stationary environment. The analytical minimum mean "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00668","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":"2026-05-18T00:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6O/9itvAwLnEijKaPdAih6g0GE+gj78F6MEQ73bupsXGRp30qDoD2RJ9BE4g2nxVu0Lurt+ddCwDVL8lNXaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:18:38.428875Z"},"content_sha256":"5e4f06bdce877b106efc877add390b75bfe106d0946f5ec2bfe995a8a29fa630","schema_version":"1.0","event_id":"sha256:5e4f06bdce877b106efc877add390b75bfe106d0946f5ec2bfe995a8a29fa630"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IP55JNWWJD4K3P6AESJGWHCTQE/bundle.json","state_url":"https://pith.science/pith/IP55JNWWJD4K3P6AESJGWHCTQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IP55JNWWJD4K3P6AESJGWHCTQE/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":"2026-06-03T06:18:38Z","links":{"resolver":"https://pith.science/pith/IP55JNWWJD4K3P6AESJGWHCTQE","bundle":"https://pith.science/pith/IP55JNWWJD4K3P6AESJGWHCTQE/bundle.json","state":"https://pith.science/pith/IP55JNWWJD4K3P6AESJGWHCTQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IP55JNWWJD4K3P6AESJGWHCTQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IP55JNWWJD4K3P6AESJGWHCTQE","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":"116e4a764fc079d4857c93ff9784a844efcbb601e1e793b716567ae6e1ca9a30","cross_cats_sorted":["eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-01-02T14:38:16Z","title_canon_sha256":"133749444a63c29365ae2a26d3f5414031c1e17c702124abc53f0e6e414ad44e"},"schema_version":"1.0","source":{"id":"1801.00668","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00668","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00668v1","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00668","created_at":"2026-05-18T00:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"IP55JNWWJD4K","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IP55JNWWJD4K3P6A","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IP55JNWW","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:5e4f06bdce877b106efc877add390b75bfe106d0946f5ec2bfe995a8a29fa630","target":"graph","created_at":"2026-05-18T00:26:52Z","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":"Over the last decade, both the neural network and kernel adaptive filter have successfully been used for nonlinear signal processing. However, they suffer from high computational cost caused by their complex/growing network structures. In this paper, we propose two random Euler filters for complex-valued nonlinear filtering problem, i.e., linear random Euler complex-valued filter (LRECF) and its widely-linear version (WLRECF), which possess a simple and fixed network structure. The transient and steady-state performances are studied in a non-stationary environment. The analytical minimum mean ","authors_text":"Defang Li, Jiashu Zhang, Sheng Zhang","cross_cats":["eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-01-02T14:38:16Z","title":"Random Euler Complex-Valued Nonlinear Filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00668","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:d1a0f07e55075c28e98d34eed0b706d4380b6f29e606f71eacd3211c990089a9","target":"record","created_at":"2026-05-18T00:26:52Z","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":"116e4a764fc079d4857c93ff9784a844efcbb601e1e793b716567ae6e1ca9a30","cross_cats_sorted":["eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-01-02T14:38:16Z","title_canon_sha256":"133749444a63c29365ae2a26d3f5414031c1e17c702124abc53f0e6e414ad44e"},"schema_version":"1.0","source":{"id":"1801.00668","kind":"arxiv","version":1}},"canonical_sha256":"43fbd4b6d648f8adbfc024926b1c5381084f9023db8737239694716c3c5e2a9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43fbd4b6d648f8adbfc024926b1c5381084f9023db8737239694716c3c5e2a9c","first_computed_at":"2026-05-18T00:26:52.691948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:52.691948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TdeZ72iAl5xmolW5of4hqsQoO/yj84tOpBsfMHYLguAXRzaJQJiXFgPbl+UI2714nZwswLd2DYqmxn5ojUWrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:52.692627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00668","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1a0f07e55075c28e98d34eed0b706d4380b6f29e606f71eacd3211c990089a9","sha256:5e4f06bdce877b106efc877add390b75bfe106d0946f5ec2bfe995a8a29fa630"],"state_sha256":"748033b0934a3a1b4f864a5e8fb7b4b3bd263bc612718b60d99ff048885d7cfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0YFRPTC/mh69AUmdm2EzAmTuPcR4+EtPfNRgscNi3IoWXIYFX+ulj90z8S1iGkBPe1iDBQ5W+0/GYOcTBcwGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:18:38.430799Z","bundle_sha256":"6719d4667b6446884352b536eaa1bcd7abef6b08eb91823110e3d24cc2affdc1"}}