{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NSDUZNM4PZGP2N6A2GC4XZMUBA","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":"2151b9ca68f23dbd4bd429236d739ec2fd1a0d3a67fb2932f74fdb8bef40ef0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-05-10T06:57:08Z","title_canon_sha256":"067c18eaa2fa1b8dfe3f6feefc441a29a00821c662eff418b9ddcd1811834b3b"},"schema_version":"1.0","source":{"id":"1805.03853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.03853","created_at":"2026-05-18T00:16:18Z"},{"alias_kind":"arxiv_version","alias_value":"1805.03853v1","created_at":"2026-05-18T00:16:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03853","created_at":"2026-05-18T00:16:18Z"},{"alias_kind":"pith_short_12","alias_value":"NSDUZNM4PZGP","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NSDUZNM4PZGP2N6A","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NSDUZNM4","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:f4ec85d4fbb7e36efa326ad3eec865444942a642e8e8ddb345f6f91a2c0f4676","target":"graph","created_at":"2026-05-18T00:16:18Z","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 considers the reconstruction of a sparse coefficient vector {\\theta} for a rational transfer function, under a pair of FIR and Takenaka-Malmquist (TM) bases and from a limited number of linear frequency-domain measurements. We propose to concatenate a limited number of FIR and TM basis functions in the representation of the transfer function, and prove the uniqueness of the sparse representation defined in the infinite dimensional function space with pairs of FIR and TM bases. The sufficient condition is given for replacing the l_0 optimal solution by the l_1 optimal solution using ","authors_text":"Dan Xiong, Jingxin Zhang, Li Chai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-05-10T06:57:08Z","title":"Sparse System Identification in Pairs of FIR and TM Bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03853","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:eb62fdd7b946c5169a572be48d26d4ce6e38297145b239ff04c9e61e5f2005e0","target":"record","created_at":"2026-05-18T00:16:18Z","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":"2151b9ca68f23dbd4bd429236d739ec2fd1a0d3a67fb2932f74fdb8bef40ef0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-05-10T06:57:08Z","title_canon_sha256":"067c18eaa2fa1b8dfe3f6feefc441a29a00821c662eff418b9ddcd1811834b3b"},"schema_version":"1.0","source":{"id":"1805.03853","kind":"arxiv","version":1}},"canonical_sha256":"6c874cb59c7e4cfd37c0d185cbe59408149f073690dbb9d11891efa8a1602341","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c874cb59c7e4cfd37c0d185cbe59408149f073690dbb9d11891efa8a1602341","first_computed_at":"2026-05-18T00:16:18.585781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:18.585781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OP9tDPLu0d5jkXQzAcSluQqhYh7TobNPoHeXkpqXfTAf0n8JPIuN17hZoPoFq0IhLkrDOtkmpDLIoO3LyOdtCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:18.586478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.03853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb62fdd7b946c5169a572be48d26d4ce6e38297145b239ff04c9e61e5f2005e0","sha256:f4ec85d4fbb7e36efa326ad3eec865444942a642e8e8ddb345f6f91a2c0f4676"],"state_sha256":"3c3662e9d51c7876aa3694ce70d880b7dcf39ba8b4aefeccafbae3fb4d07cb0d"}