{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6M2CQ5D7YBQ3RPXUZF46W7T6MU","short_pith_number":"pith:6M2CQ5D7","schema_version":"1.0","canonical_sha256":"f33428747fc061b8bef4c979eb7e7e65374717a9e2752017ad1281bf4014b196","source":{"kind":"arxiv","id":"1202.5474","version":2},"attestation_state":"computed","paper":{"title":"Pareto Boundary of the Rate Region for Single-Stream MIMO Interference Channels: Linear Transceiver Design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eduard A. Jorswieck, Pan Cao, Shuying Shi","submitted_at":"2012-02-24T15:14:12Z","abstract_excerpt":"We consider a multiple-input multiple-output (MIMO) interference channel (IC), where a single data stream per user is transmitted and each receiver treats interference as noise. The paper focuses on the open problem of computing the outermost boundary (so-called Pareto boundary-PB) of the achievable rate region under linear transceiver design. The Pareto boundary consists of the strict PB and non-strict PB. For the two user case, we compute the non-strict PB and the two ending points of the strict PB exactly. For the strict PB, we formulate the problem to maximize one rate while the other rate"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1202.5474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-24T15:14:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b445bf59a5cad4375b5dca1497662b10e9187cab2535f3996eef008689c952a0","abstract_canon_sha256":"38f7f5c57ad838de4879c67b1839721259ae3aa06b8bdd9f12c0891244860de2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:52.678197Z","signature_b64":"Th8fy/Upe899wlKen9jdtfMHwPjThlrzqEAD7eal/YDoujazGCMpLp94scAQb9SkCE1ERMfxvoyY0mUa6rgiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f33428747fc061b8bef4c979eb7e7e65374717a9e2752017ad1281bf4014b196","last_reissued_at":"2026-05-18T00:45:52.677632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:52.677632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pareto Boundary of the Rate Region for Single-Stream MIMO Interference Channels: Linear Transceiver Design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eduard A. Jorswieck, Pan Cao, Shuying Shi","submitted_at":"2012-02-24T15:14:12Z","abstract_excerpt":"We consider a multiple-input multiple-output (MIMO) interference channel (IC), where a single data stream per user is transmitted and each receiver treats interference as noise. The paper focuses on the open problem of computing the outermost boundary (so-called Pareto boundary-PB) of the achievable rate region under linear transceiver design. The Pareto boundary consists of the strict PB and non-strict PB. For the two user case, we compute the non-strict PB and the two ending points of the strict PB exactly. For the strict PB, we formulate the problem to maximize one rate while the other rate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5474","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1202.5474","created_at":"2026-05-18T00:45:52.677724+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5474v2","created_at":"2026-05-18T00:45:52.677724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5474","created_at":"2026-05-18T00:45:52.677724+00:00"},{"alias_kind":"pith_short_12","alias_value":"6M2CQ5D7YBQ3","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6M2CQ5D7YBQ3RPXU","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6M2CQ5D7","created_at":"2026-05-18T12:26:56.085431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU","json":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU.json","graph_json":"https://pith.science/api/pith-number/6M2CQ5D7YBQ3RPXUZF46W7T6MU/graph.json","events_json":"https://pith.science/api/pith-number/6M2CQ5D7YBQ3RPXUZF46W7T6MU/events.json","paper":"https://pith.science/paper/6M2CQ5D7"},"agent_actions":{"view_html":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU","download_json":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU.json","view_paper":"https://pith.science/paper/6M2CQ5D7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5474&json=true","fetch_graph":"https://pith.science/api/pith-number/6M2CQ5D7YBQ3RPXUZF46W7T6MU/graph.json","fetch_events":"https://pith.science/api/pith-number/6M2CQ5D7YBQ3RPXUZF46W7T6MU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU/action/storage_attestation","attest_author":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU/action/author_attestation","sign_citation":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU/action/citation_signature","submit_replication":"https://pith.science/pith/6M2CQ5D7YBQ3RPXUZF46W7T6MU/action/replication_record"}},"created_at":"2026-05-18T00:45:52.677724+00:00","updated_at":"2026-05-18T00:45:52.677724+00:00"}