{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XQGEM2G6MP73AXHZZYV7XTOOSU","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":"b4d3b05b9875b4fef5080263796b460a2db7c84e5beb79508a258ef816143689","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-12T07:38:04Z","title_canon_sha256":"6a693cc4c7f2377b0c59922cb46fe51356ef183eecc1242756072d181fe6a63d"},"schema_version":"1.0","source":{"id":"1009.2221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2221","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2221v2","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2221","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"XQGEM2G6MP73","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XQGEM2G6MP73AXHZ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XQGEM2G6","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:754005a951a20135fcab3db6da58af41db51ec56933b75d5d6eca1628d09da47","target":"graph","created_at":"2026-05-18T00:57:57Z","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":"In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements, and specifically analyze the interaction between FRI techniques and the underlying sampling methods. We first obtain a fundamental limit on the estimation accuracy attainable regardless of the sampling method. Next, we provide a bound on the performance achievable using any specific sampling approach. Essential differences between the noisy and noise-free cases arise from this analysis. In particular, we identify settings in which noise-free recovery techniques deteriorate subs","authors_text":"Tomer Michaeli, Yonina C. Eldar, Zvika Ben-Haim","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-12T07:38:04Z","title":"Performance Bounds and Design Criteria for Estimating Finite Rate of Innovation Signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2221","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:b40ff0c7c5ca35023ca75eb5ca4f0aa65c4f1beb4b2722e39a3cf144eaa9f04c","target":"record","created_at":"2026-05-18T00:57:57Z","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":"b4d3b05b9875b4fef5080263796b460a2db7c84e5beb79508a258ef816143689","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-12T07:38:04Z","title_canon_sha256":"6a693cc4c7f2377b0c59922cb46fe51356ef183eecc1242756072d181fe6a63d"},"schema_version":"1.0","source":{"id":"1009.2221","kind":"arxiv","version":2}},"canonical_sha256":"bc0c4668de63ffb05cf9ce2bfbcdce95212ff3d732d3a26e8438570407eb9b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc0c4668de63ffb05cf9ce2bfbcdce95212ff3d732d3a26e8438570407eb9b2c","first_computed_at":"2026-05-18T00:57:57.647287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:57.647287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LgXDG5DULR+xRhaO4frm0Q/14fsbBuwktjRz/3AqiLRV9W3sOgWEhiFCP8bctNWJkVMuTcT6bH1JVoZPN4yeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:57.647889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b40ff0c7c5ca35023ca75eb5ca4f0aa65c4f1beb4b2722e39a3cf144eaa9f04c","sha256:754005a951a20135fcab3db6da58af41db51ec56933b75d5d6eca1628d09da47"],"state_sha256":"a189b296ac6aa2fa9e32988a7fe0f50bb483db143fd09ec535fc5791a0bce92f"}