{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HE6PFOUQUMNTMMMF6H3AGZR64P","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":"7bee4324ecc1b61ce97b9233c8398c24982f955729dbc2ca27f326180ae5621c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T08:04:51Z","title_canon_sha256":"7ce965d1e5aeb945e867aa8b2e2bc60f9a9969552ffd83c57ea7265cac511a5f"},"schema_version":"1.0","source":{"id":"1205.6907","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6907","created_at":"2026-05-18T03:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6907v1","created_at":"2026-05-18T03:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6907","created_at":"2026-05-18T03:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"HE6PFOUQUMNT","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HE6PFOUQUMNTMMMF","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HE6PFOUQ","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:df0c787993422ac5169f37dba3987e9ff87c6fc348b1d374660aa011378869b0","target":"graph","created_at":"2026-05-18T03:54:36Z","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 consider the design of identical one-bit probabilistic quantizers for distributed estimation in sensor networks. We assume the parameter-range to be finite and known and use the maximum Cram\\'er-Rao Lower Bound (CRB) over the parameter-range as our performance metric. We restrict our theoretical analysis to the class of antisymmetric quantizers and determine a set of conditions for which the probabilistic quantizer function is greatly simplified. We identify a broad class of noise distributions, which includes Gaussian noise in the low-SNR regime, for which the often used threshold-quantize","authors_text":"Hao Chen, Pramod K. Varshney, Swarnendu Kar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T08:04:51Z","title":"Optimal Identical Binary Quantizer Design for Distributed Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6907","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":"sha256:1e12874dfd9a5f96a4df7e85ac508fce1c282687dca13ba6d0939ef59421822d","target":"record","created_at":"2026-05-18T03:54:36Z","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":"7bee4324ecc1b61ce97b9233c8398c24982f955729dbc2ca27f326180ae5621c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T08:04:51Z","title_canon_sha256":"7ce965d1e5aeb945e867aa8b2e2bc60f9a9969552ffd83c57ea7265cac511a5f"},"schema_version":"1.0","source":{"id":"1205.6907","kind":"arxiv","version":1}},"canonical_sha256":"393cf2ba90a31b363185f1f603663ee3f162fb46a00a8ada9e5453be5da6203d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"393cf2ba90a31b363185f1f603663ee3f162fb46a00a8ada9e5453be5da6203d","first_computed_at":"2026-05-18T03:54:36.622897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:36.622897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jbNsrvsoIO8uV1x5I6UnWnVn8RCPpqbk9Q3k+h8KCdHFnClFPGqftm3iP5wHXNBuTCDHu+hVf69aUFyy00ljBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:36.623637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.6907","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e12874dfd9a5f96a4df7e85ac508fce1c282687dca13ba6d0939ef59421822d","sha256:df0c787993422ac5169f37dba3987e9ff87c6fc348b1d374660aa011378869b0"],"state_sha256":"9b66c92aca6f053ac09e9a0621f5af0f404b95b9a0c348eec7b79a1774cf9a84"}