{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:Y5FNZBTLG37UM3OL7QHXH6ARFH","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":"1c2e478b1553a54d1c528d61ef1e4be9ae00a6c70e958ba8d2c848326c16fbdb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-10-27T15:34:31Z","title_canon_sha256":"aff7ecf62c6bffa017d11b6e9b34882d7f20b00c54a37b00d1b609e5b38217fd"},"schema_version":"1.0","source":{"id":"0910.5146","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5146","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5146v3","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5146","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"Y5FNZBTLG37U","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"Y5FNZBTLG37UM3OL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"Y5FNZBTL","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:731181a51a646400b48ff62121b408f0f9b579ebee4bf2129c2dbc5c183444e9","target":"graph","created_at":"2026-05-18T02:11:10Z","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 describes performance bounds for compressed sensing (CS) where the underlying sparse or compressible (sparsely approximable) signal is a vector of nonnegative intensities whose measurements are corrupted by Poisson noise. In this setting, standard CS techniques cannot be applied directly for several reasons.  First, the usual signal-independent and/or bounded noise models do not apply to Poisson noise, which is non-additive and signal-dependent.  Second, the CS matrices typically considered are not feasible in real optical systems because they do not adhere to important constraints,","authors_text":"Maxim Raginsky, Rebecca M. Willett, Roummel F. Marcia, Zachary T. Harmany","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-10-27T15:34:31Z","title":"Compressed sensing performance bounds under Poisson noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5146","kind":"arxiv","version":3},"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":"sha256:8b2a19497e50770b0f226c83c6333221e0740b2ba055216233e29de2ec5b499a","target":"record","created_at":"2026-05-18T02:11:10Z","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":"1c2e478b1553a54d1c528d61ef1e4be9ae00a6c70e958ba8d2c848326c16fbdb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-10-27T15:34:31Z","title_canon_sha256":"aff7ecf62c6bffa017d11b6e9b34882d7f20b00c54a37b00d1b609e5b38217fd"},"schema_version":"1.0","source":{"id":"0910.5146","kind":"arxiv","version":3}},"canonical_sha256":"c74adc866b36ff466dcbfc0f73f81129d1552ca5ea9ae21e63642add7e9dc02e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c74adc866b36ff466dcbfc0f73f81129d1552ca5ea9ae21e63642add7e9dc02e","first_computed_at":"2026-05-18T02:11:10.876570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:10.876570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Qgoe/5hR7HjXp+IwX/jVYRWb50Sk/Sj3A0dD3yox1Pmckd4TODr7bFbFGBf7bQAPEtJODPi1y5BPx/uVWgnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:10.877270Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5146","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2a19497e50770b0f226c83c6333221e0740b2ba055216233e29de2ec5b499a","sha256:731181a51a646400b48ff62121b408f0f9b579ebee4bf2129c2dbc5c183444e9"],"state_sha256":"fafd78407c5fa13b658837c04ab6066919f42eebc65f6d9590e2638e0ebc2d21"}