{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KNLD3ERD2U6F6G6OO5DAN2JV2S","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":"bc25bcf55d4fb7cac5df2b9dc288529bc41d4198033eeb72fc008c6792d8045a","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-07T16:32:03Z","title_canon_sha256":"12ee19601d18c4f2df0802eee2b180264b3e207543e71d7ea794145244d5d893"},"schema_version":"1.0","source":{"id":"1501.01545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01545","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01545v1","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01545","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"KNLD3ERD2U6F","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KNLD3ERD2U6F6G6O","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KNLD3ERD","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:fb3cee7c8412d84b3c91c26efa2bf4e82688ea59fc4de2d3b6391e6e40e3ef09","target":"graph","created_at":"2026-05-18T02:29:53Z","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":"The transmission of digital data is one of the principal tasks in modern wireless communication. Classically, the communication channel consists of one transmitter and one receiver; however, due to the constantly increasing demand in higher transmission rates, the popularity of using several receivers and transmitters has been rapidly growing.\n  In this paper, we combine a number of fairly standard techniques from numerical linear algebra and probability to develop several (apparently novel) randomized schemes for the decoding of digital messages sent over a noisy multivariate Gaussian channel","authors_text":"Andrei Osipov","cross_cats":["math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-07T16:32:03Z","title":"On decoding of digital data sent over a noisy MIMO channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01545","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:c48d0831cd7616a2e919415223f72a1cb0d86add3ecd419cc8c7cd2d84d4f00e","target":"record","created_at":"2026-05-18T02:29:53Z","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":"bc25bcf55d4fb7cac5df2b9dc288529bc41d4198033eeb72fc008c6792d8045a","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-07T16:32:03Z","title_canon_sha256":"12ee19601d18c4f2df0802eee2b180264b3e207543e71d7ea794145244d5d893"},"schema_version":"1.0","source":{"id":"1501.01545","kind":"arxiv","version":1}},"canonical_sha256":"53563d9223d53c5f1bce774606e935d4a1b4c3c47a9e630d377c7bc27dadecfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53563d9223d53c5f1bce774606e935d4a1b4c3c47a9e630d377c7bc27dadecfd","first_computed_at":"2026-05-18T02:29:53.841423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:53.841423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VY716F+qDf+DXtqJo9bcBKoIHFXRwjvMeGrC6vopGHHPL9LkAkAHoKpAv2QSG3xuQGIfY34MYtV0Ra7P5oMuAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:53.843810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c48d0831cd7616a2e919415223f72a1cb0d86add3ecd419cc8c7cd2d84d4f00e","sha256:fb3cee7c8412d84b3c91c26efa2bf4e82688ea59fc4de2d3b6391e6e40e3ef09"],"state_sha256":"c22f897b56f066166e2cffdeafc167a20ea244e7d58eefeec804b5f21486bb87"}