{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SARHDYFFGAQRCPRF2XAYDDV6F3","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":"066da7da1405fb87a329d65e56879333c1f2e90ec645f3655a1067a61d5d648e","cross_cats_sorted":["math.IT","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-05T22:35:45Z","title_canon_sha256":"9f69d89f677d6a9413f9c57537b1c4c761a5c4f2f4e11c2967b46158d7c44045"},"schema_version":"1.0","source":{"id":"1105.1187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1187","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1187v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1187","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"SARHDYFFGAQR","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SARHDYFFGAQRCPRF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SARHDYFF","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:f08fb961dd00bf80a685c940ba316dbfcc2edb030bd0240d35dda6d8b496964e","target":"graph","created_at":"2026-05-18T04:22:40Z","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":"We study the detection error probability associated with a balanced binary relay tree, where the leaves of the tree correspond to $N$ identical and independent detectors. The root of the tree represents a fusion center that makes the overall detection decision. Each of the other nodes in the tree are relay nodes that combine two binary messages to form a single output binary message. In this way, the information from the detectors is aggregated into the fusion center via the intermediate relay nodes. In this context, we describe the evolution of Type I and Type II error probabilities of the bi","authors_text":"Ali Pezeshki, Edwin K. P. Chong, Stephen D. Howard, William Moran, Zhenliang Zhang","cross_cats":["math.IT","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-05T22:35:45Z","title":"Error Probability Bounds for Balanced Binary Relay Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1187","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":"sha256:0db24454e6215b6462461fd70b5f633b963ee0cdc8aace9eb7075423bc6b8034","target":"record","created_at":"2026-05-18T04:22:40Z","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":"066da7da1405fb87a329d65e56879333c1f2e90ec645f3655a1067a61d5d648e","cross_cats_sorted":["math.IT","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-05T22:35:45Z","title_canon_sha256":"9f69d89f677d6a9413f9c57537b1c4c761a5c4f2f4e11c2967b46158d7c44045"},"schema_version":"1.0","source":{"id":"1105.1187","kind":"arxiv","version":1}},"canonical_sha256":"902271e0a53021113e25d5c1818ebe2efae279885125a6e6774b0849f9117df4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"902271e0a53021113e25d5c1818ebe2efae279885125a6e6774b0849f9117df4","first_computed_at":"2026-05-18T04:22:40.913823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.913823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HVbAgi6mdIr8Vb9i/ej7KB6iymsJcWop7FA+orJttPuGOfWyp9M/ZV9uCVrc/Om3YZBfFxNaLV/ZfYW5qpPVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.914271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0db24454e6215b6462461fd70b5f633b963ee0cdc8aace9eb7075423bc6b8034","sha256:f08fb961dd00bf80a685c940ba316dbfcc2edb030bd0240d35dda6d8b496964e"],"state_sha256":"b00991fbf5405cc18584dc1b4a39bdfb288f83b4c1f88e43ea9f1c6a3265f6bf"}