{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OFEJVQGEM6S6V6DW3ICDK7WJIB","short_pith_number":"pith:OFEJVQGE","canonical_record":{"source":{"id":"1505.07431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T18:42:30Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e9041800fb68056a4d02395854436727d83458d17e1182b636a153fe3d252737","abstract_canon_sha256":"aa88956a715d1e52f63ca51c6896102aae7a58c0f995c384085c3f0edff8eda7"},"schema_version":"1.0"},"canonical_sha256":"71489ac0c467a5eaf876da04357ec940475594e7a8c0b779628e8936d26892ad","source":{"kind":"arxiv","id":"1505.07431","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07431","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07431v1","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07431","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"OFEJVQGEM6S6","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OFEJVQGEM6S6V6DW","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OFEJVQGE","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OFEJVQGEM6S6V6DW3ICDK7WJIB","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T18:42:30Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e9041800fb68056a4d02395854436727d83458d17e1182b636a153fe3d252737","abstract_canon_sha256":"aa88956a715d1e52f63ca51c6896102aae7a58c0f995c384085c3f0edff8eda7"},"schema_version":"1.0"},"canonical_sha256":"71489ac0c467a5eaf876da04357ec940475594e7a8c0b779628e8936d26892ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:46.698439Z","signature_b64":"zh0PutObJgd0briJVgOTZAObyen+OCHJbmcwEwUeeSxujEL7+RlrThC6UE0o1Hs57cQHy6Gheahg/R5Evh6uDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71489ac0c467a5eaf876da04357ec940475594e7a8c0b779628e8936d26892ad","last_reissued_at":"2026-05-18T01:15:46.697867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:46.697867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07431","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":"2026-05-18T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFOPne8xiZ7TAIypq7Km7RSx2xWa+aASBxh9RZjDx3RARNKd4O3ROwgC/yDd0nbzzRkwvPsF89gs2tnixOqZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:07:12.484186Z"},"content_sha256":"21308cd54bc271108c334e1b8be34b1258c1d49725278db95c4477b997a93df7","schema_version":"1.0","event_id":"sha256:21308cd54bc271108c334e1b8be34b1258c1d49725278db95c4477b997a93df7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OFEJVQGEM6S6V6DW3ICDK7WJIB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Threshold Effects in Parameter Estimation from Compressed Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ali Pezeshki, Louis L. Scharf, Pooria Pakrooh","submitted_at":"2015-05-27T18:42:30Z","abstract_excerpt":"In this paper, we investigate threshold effects associated with swapping of signal and noise subspaces in estimating signal parameters from compressed noisy data. The term threshold effect refers to a sharp departure of mean-squared error from the Cramer-Rao bound when the signal-to-noise ratio falls below a threshold SNR. In many cases, the threshold effect is caused by a subspace swap event, when the measured data (or its sample covariance) is better approximated by a subset of components of an orthogonal subspace than by the components of a signal subspace. We derive analytical lower bounds"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07431","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":"2026-05-18T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qoZv3eFy3EylCk5W3YYCILbTCNwoq6XLCmOKEKjkefS8MOtOORMVACmh+YasovEmUDfG3B5QaMdFcgZcFFRrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:07:12.484545Z"},"content_sha256":"1b6416d1b06e6676ca3ca88661a1086efbb293a0e02909fad4c30738ef4fe771","schema_version":"1.0","event_id":"sha256:1b6416d1b06e6676ca3ca88661a1086efbb293a0e02909fad4c30738ef4fe771"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/bundle.json","state_url":"https://pith.science/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/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":"2026-06-03T19:07:12Z","links":{"resolver":"https://pith.science/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB","bundle":"https://pith.science/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/bundle.json","state":"https://pith.science/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFEJVQGEM6S6V6DW3ICDK7WJIB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OFEJVQGEM6S6V6DW3ICDK7WJIB","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":"aa88956a715d1e52f63ca51c6896102aae7a58c0f995c384085c3f0edff8eda7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T18:42:30Z","title_canon_sha256":"e9041800fb68056a4d02395854436727d83458d17e1182b636a153fe3d252737"},"schema_version":"1.0","source":{"id":"1505.07431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07431","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07431v1","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07431","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"OFEJVQGEM6S6","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OFEJVQGEM6S6V6DW","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OFEJVQGE","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:1b6416d1b06e6676ca3ca88661a1086efbb293a0e02909fad4c30738ef4fe771","target":"graph","created_at":"2026-05-18T01:15:46Z","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 investigate threshold effects associated with swapping of signal and noise subspaces in estimating signal parameters from compressed noisy data. The term threshold effect refers to a sharp departure of mean-squared error from the Cramer-Rao bound when the signal-to-noise ratio falls below a threshold SNR. In many cases, the threshold effect is caused by a subspace swap event, when the measured data (or its sample covariance) is better approximated by a subset of components of an orthogonal subspace than by the components of a signal subspace. We derive analytical lower bounds","authors_text":"Ali Pezeshki, Louis L. Scharf, Pooria Pakrooh","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T18:42:30Z","title":"Threshold Effects in Parameter Estimation from Compressed Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07431","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":"sha256:21308cd54bc271108c334e1b8be34b1258c1d49725278db95c4477b997a93df7","target":"record","created_at":"2026-05-18T01:15:46Z","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":"aa88956a715d1e52f63ca51c6896102aae7a58c0f995c384085c3f0edff8eda7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-27T18:42:30Z","title_canon_sha256":"e9041800fb68056a4d02395854436727d83458d17e1182b636a153fe3d252737"},"schema_version":"1.0","source":{"id":"1505.07431","kind":"arxiv","version":1}},"canonical_sha256":"71489ac0c467a5eaf876da04357ec940475594e7a8c0b779628e8936d26892ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71489ac0c467a5eaf876da04357ec940475594e7a8c0b779628e8936d26892ad","first_computed_at":"2026-05-18T01:15:46.697867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:46.697867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zh0PutObJgd0briJVgOTZAObyen+OCHJbmcwEwUeeSxujEL7+RlrThC6UE0o1Hs57cQHy6Gheahg/R5Evh6uDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:46.698439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21308cd54bc271108c334e1b8be34b1258c1d49725278db95c4477b997a93df7","sha256:1b6416d1b06e6676ca3ca88661a1086efbb293a0e02909fad4c30738ef4fe771"],"state_sha256":"43fb82c04fdab76b8fc0d6e2605a9e212fcedd4e0e370883d37796e9a054c745"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dPB8BHE/00nI0ZnQzW5I+sdf4xvjDSpPELJRPrW6pUSasgat+jXR4WUcvxPGTE/Zk1sHm0zCzHMkkpXAP3ubAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:07:12.495545Z","bundle_sha256":"2ad2b553d22a3f43f23b6d27cf4a0be2c21fc049225ba085a31b5fa8af601720"}}