{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PR7J23EWDWYH6PGVJAGDUTF3EK","short_pith_number":"pith:PR7J23EW","canonical_record":{"source":{"id":"1110.6188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-27T20:07:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dcf239f23072325452191ab225fdacd5079ea4012739431e675310840afb72b3","abstract_canon_sha256":"aac72ce26ff9d12f5fe1bff0d9e4d85ef74b9c7fdbd634613b3b7cfde455ca44"},"schema_version":"1.0"},"canonical_sha256":"7c7e9d6c961db07f3cd5480c3a4cbb22b172d7b67b44788531bae8fde6645274","source":{"kind":"arxiv","id":"1110.6188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6188","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6188v1","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6188","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"pith_short_12","alias_value":"PR7J23EWDWYH","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PR7J23EWDWYH6PGV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PR7J23EW","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PR7J23EWDWYH6PGVJAGDUTF3EK","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-27T20:07:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dcf239f23072325452191ab225fdacd5079ea4012739431e675310840afb72b3","abstract_canon_sha256":"aac72ce26ff9d12f5fe1bff0d9e4d85ef74b9c7fdbd634613b3b7cfde455ca44"},"schema_version":"1.0"},"canonical_sha256":"7c7e9d6c961db07f3cd5480c3a4cbb22b172d7b67b44788531bae8fde6645274","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:48.086770Z","signature_b64":"17yjd0OBKuORU9Ljgzqc8RJthBAdv86wFiGtMZKReeqC4ENTCrsb+sCDitCJZXBwcZpIhMKQMXHvrFgKdwSaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c7e9d6c961db07f3cd5480c3a4cbb22b172d7b67b44788531bae8fde6645274","last_reissued_at":"2026-05-18T02:20:48.086096Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:48.086096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6188","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":"2026-05-18T02:20:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpRXikaLsnDb90WUvTYbT1+GPDQcJOaSRxSLtkGddonig3IX/Jrgb0DIu/OZUetr95LWmZ40y/X2rwyo2DbyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:34:12.930244Z"},"content_sha256":"e864bfa24b64522c91f15138641f75c0ac9830f9dcc36a9a0377421d8fd16be9","schema_version":"1.0","event_id":"sha256:e864bfa24b64522c91f15138641f75c0ac9830f9dcc36a9a0377421d8fd16be9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PR7J23EWDWYH6PGVJAGDUTF3EK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ranked Sparse Signal Support Detection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alyson K. Fletcher, Sundeep Rangan, Vivek K Goyal","submitted_at":"2011-10-27T20:07:49Z","abstract_excerpt":"This paper considers the problem of detecting the support (sparsity pattern) of a sparse vector from random noisy measurements. Conditional power of a component of the sparse vector is defined as the energy conditioned on the component being nonzero. Analysis of a simplified version of orthogonal matching pursuit (OMP) called sequential OMP (SequOMP) demonstrates the importance of knowledge of the rankings of conditional powers. When the simple SequOMP algorithm is applied to components in nonincreasing order of conditional power, the detrimental effect of dynamic range on thresholding perform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6188","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":"2026-05-18T02:20:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v74etX/9oMBpLYKwgmPWxT92gM9DJaNRrMlVVIuNL8dFjDl3EucWw/o0Blf9KCRvIvjETR3wpVOl0emLb0GODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:34:12.930610Z"},"content_sha256":"6b87c76ad49e69400024aaf28443181a2e7e1e54910b6665d4c380d765989d1d","schema_version":"1.0","event_id":"sha256:6b87c76ad49e69400024aaf28443181a2e7e1e54910b6665d4c380d765989d1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/bundle.json","state_url":"https://pith.science/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/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":"2026-05-28T12:34:12Z","links":{"resolver":"https://pith.science/pith/PR7J23EWDWYH6PGVJAGDUTF3EK","bundle":"https://pith.science/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/bundle.json","state":"https://pith.science/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PR7J23EWDWYH6PGVJAGDUTF3EK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PR7J23EWDWYH6PGVJAGDUTF3EK","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":"aac72ce26ff9d12f5fe1bff0d9e4d85ef74b9c7fdbd634613b3b7cfde455ca44","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-27T20:07:49Z","title_canon_sha256":"dcf239f23072325452191ab225fdacd5079ea4012739431e675310840afb72b3"},"schema_version":"1.0","source":{"id":"1110.6188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6188","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6188v1","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6188","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"pith_short_12","alias_value":"PR7J23EWDWYH","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PR7J23EWDWYH6PGV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PR7J23EW","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:6b87c76ad49e69400024aaf28443181a2e7e1e54910b6665d4c380d765989d1d","target":"graph","created_at":"2026-05-18T02:20:48Z","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 problem of detecting the support (sparsity pattern) of a sparse vector from random noisy measurements. Conditional power of a component of the sparse vector is defined as the energy conditioned on the component being nonzero. Analysis of a simplified version of orthogonal matching pursuit (OMP) called sequential OMP (SequOMP) demonstrates the importance of knowledge of the rankings of conditional powers. When the simple SequOMP algorithm is applied to components in nonincreasing order of conditional power, the detrimental effect of dynamic range on thresholding perform","authors_text":"Alyson K. Fletcher, Sundeep Rangan, Vivek K Goyal","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-27T20:07:49Z","title":"Ranked Sparse Signal Support Detection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6188","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:e864bfa24b64522c91f15138641f75c0ac9830f9dcc36a9a0377421d8fd16be9","target":"record","created_at":"2026-05-18T02:20:48Z","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":"aac72ce26ff9d12f5fe1bff0d9e4d85ef74b9c7fdbd634613b3b7cfde455ca44","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-27T20:07:49Z","title_canon_sha256":"dcf239f23072325452191ab225fdacd5079ea4012739431e675310840afb72b3"},"schema_version":"1.0","source":{"id":"1110.6188","kind":"arxiv","version":1}},"canonical_sha256":"7c7e9d6c961db07f3cd5480c3a4cbb22b172d7b67b44788531bae8fde6645274","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c7e9d6c961db07f3cd5480c3a4cbb22b172d7b67b44788531bae8fde6645274","first_computed_at":"2026-05-18T02:20:48.086096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:48.086096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"17yjd0OBKuORU9Ljgzqc8RJthBAdv86wFiGtMZKReeqC4ENTCrsb+sCDitCJZXBwcZpIhMKQMXHvrFgKdwSaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:48.086770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e864bfa24b64522c91f15138641f75c0ac9830f9dcc36a9a0377421d8fd16be9","sha256:6b87c76ad49e69400024aaf28443181a2e7e1e54910b6665d4c380d765989d1d"],"state_sha256":"888b118ff1110acc894a4dec88e76a4ae5f4afdd0d4597f5dfa69e5a53a81a08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9whb8MKdVWtYbPOyAImJusF0erI3ZprhylhiLK8XCANsFeE3B+p9xMSWqCHknpY4ClQToNDSePRhz0OTjadBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:34:12.932485Z","bundle_sha256":"8dcaee60f2cbf2b9ea7431f42ad726c1c406a66fd91b6865670238f69f7e1e07"}}