{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:UMNAURS4HZJOYYABODKSMLQUYV","short_pith_number":"pith:UMNAURS4","schema_version":"1.0","canonical_sha256":"a31a0a465c3e52ec600170d5262e14c54754a263cd0fe7223622f3c4efa344a4","source":{"kind":"arxiv","id":"1211.4275","version":1},"attestation_state":"computed","paper":{"title":"Close-Form Design of Antenna-Constrained Multi-Cell Multi-User Downlink Interference Alignment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haichuan Zhou, Tharm Ratnarajah","submitted_at":"2012-11-18T23:47:29Z","abstract_excerpt":"This paper investigates the downlink channels in multi-cell multi-user interfering networks. The goal is to propose close-form designs to obtain degrees of freedom (DoF) in high SNR region for the network composed of base stations (BS) as transmitters and mobile stations (MS) as receivers. Consider the realistic system, both BS and MS have finite antennas, so that the design of interference alignment is highly constrained by the feasibility conditions. The focus of design is to explore potential opportunities of alignment in the subspace both from the BS transmit side and from the MS receive s"},"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":"1211.4275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-18T23:47:29Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6da7f0ed85515163779604e3eaeaabce942fc6a4447737a3747a3314b7acc141","abstract_canon_sha256":"abefb26ef12d6bae917e3322a15057f98dda709e87a6e3f3843813d044337d36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:27.420398Z","signature_b64":"bgErxDPWh2DXHGcZpsz8qCtaqQYvmH8SDDckslY8mqb/IopJidOJ6MOCmA1LLQ6Yzx6N/psLEkYNCW1SJolFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a31a0a465c3e52ec600170d5262e14c54754a263cd0fe7223622f3c4efa344a4","last_reissued_at":"2026-05-18T03:40:27.419895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:27.419895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Close-Form Design of Antenna-Constrained Multi-Cell Multi-User Downlink Interference Alignment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haichuan Zhou, Tharm Ratnarajah","submitted_at":"2012-11-18T23:47:29Z","abstract_excerpt":"This paper investigates the downlink channels in multi-cell multi-user interfering networks. The goal is to propose close-form designs to obtain degrees of freedom (DoF) in high SNR region for the network composed of base stations (BS) as transmitters and mobile stations (MS) as receivers. Consider the realistic system, both BS and MS have finite antennas, so that the design of interference alignment is highly constrained by the feasibility conditions. The focus of design is to explore potential opportunities of alignment in the subspace both from the BS transmit side and from the MS receive s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4275","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.4275","created_at":"2026-05-18T03:40:27.419971+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.4275v1","created_at":"2026-05-18T03:40:27.419971+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4275","created_at":"2026-05-18T03:40:27.419971+00:00"},{"alias_kind":"pith_short_12","alias_value":"UMNAURS4HZJO","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"UMNAURS4HZJOYYAB","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"UMNAURS4","created_at":"2026-05-18T12:27:23.164592+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/UMNAURS4HZJOYYABODKSMLQUYV","json":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV.json","graph_json":"https://pith.science/api/pith-number/UMNAURS4HZJOYYABODKSMLQUYV/graph.json","events_json":"https://pith.science/api/pith-number/UMNAURS4HZJOYYABODKSMLQUYV/events.json","paper":"https://pith.science/paper/UMNAURS4"},"agent_actions":{"view_html":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV","download_json":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV.json","view_paper":"https://pith.science/paper/UMNAURS4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.4275&json=true","fetch_graph":"https://pith.science/api/pith-number/UMNAURS4HZJOYYABODKSMLQUYV/graph.json","fetch_events":"https://pith.science/api/pith-number/UMNAURS4HZJOYYABODKSMLQUYV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV/action/storage_attestation","attest_author":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV/action/author_attestation","sign_citation":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV/action/citation_signature","submit_replication":"https://pith.science/pith/UMNAURS4HZJOYYABODKSMLQUYV/action/replication_record"}},"created_at":"2026-05-18T03:40:27.419971+00:00","updated_at":"2026-05-18T03:40:27.419971+00:00"}