{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZHKET2IMHMDJNIUTRJGXZV6UIC","short_pith_number":"pith:ZHKET2IM","schema_version":"1.0","canonical_sha256":"c9d449e90c3b0696a2938a4d7cd7d44084a51b111b3f9a1dfe77787a08725b22","source":{"kind":"arxiv","id":"1602.03954","version":1},"attestation_state":"computed","paper":{"title":"Linear Degrees of Freedom for $K $-user MISO Interference Channels with Blind Interference Alignment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Heecheol Yang, Jungwoo Lee, Wonjae Shin","submitted_at":"2016-02-12T03:11:17Z","abstract_excerpt":"In this paper, we characterize the degrees of freedom (DoF) for $K $-user $M \\times 1 $ multiple-input single-output interference channels with reconfigurable antennas which have multiple preset modes at the receivers, assuming linear coding strategies in the absence of channel state information at the transmitters, i.e., blind interference alignment. Our linear DoF converse builds on the lemma that if a set of transmit symbols is aligned at their common unintended receivers, those symbols must have independent signal subspace at their corresponding receivers. This lemma arises from the inhere"},"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":"1602.03954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-02-12T03:11:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f05cd3a7ed0b1cac11e7bb27fe857c59f5e6a9c18645a84d5bd4b34b2fe39540","abstract_canon_sha256":"1a8dadba3af2612ad9ddbf6ed28946842f2fee6bdbc4f5aa4f5cf3a367911284"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:55.079629Z","signature_b64":"PAQRwV7w/Xx0SJDQ0dXQI0DHErD1Yv3lkvqwS0WE2rXFjdnc9bCjYd3U6/dD2MzTRXIe2EOtt6JdYOR5lFGZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9d449e90c3b0696a2938a4d7cd7d44084a51b111b3f9a1dfe77787a08725b22","last_reissued_at":"2026-05-18T01:20:55.078930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:55.078930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Degrees of Freedom for $K $-user MISO Interference Channels with Blind Interference Alignment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Heecheol Yang, Jungwoo Lee, Wonjae Shin","submitted_at":"2016-02-12T03:11:17Z","abstract_excerpt":"In this paper, we characterize the degrees of freedom (DoF) for $K $-user $M \\times 1 $ multiple-input single-output interference channels with reconfigurable antennas which have multiple preset modes at the receivers, assuming linear coding strategies in the absence of channel state information at the transmitters, i.e., blind interference alignment. Our linear DoF converse builds on the lemma that if a set of transmit symbols is aligned at their common unintended receivers, those symbols must have independent signal subspace at their corresponding receivers. This lemma arises from the inhere"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03954","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":"1602.03954","created_at":"2026-05-18T01:20:55.079034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.03954v1","created_at":"2026-05-18T01:20:55.079034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03954","created_at":"2026-05-18T01:20:55.079034+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHKET2IMHMDJ","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHKET2IMHMDJNIUT","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHKET2IM","created_at":"2026-05-18T12:30:53.716459+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/ZHKET2IMHMDJNIUTRJGXZV6UIC","json":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC.json","graph_json":"https://pith.science/api/pith-number/ZHKET2IMHMDJNIUTRJGXZV6UIC/graph.json","events_json":"https://pith.science/api/pith-number/ZHKET2IMHMDJNIUTRJGXZV6UIC/events.json","paper":"https://pith.science/paper/ZHKET2IM"},"agent_actions":{"view_html":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC","download_json":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC.json","view_paper":"https://pith.science/paper/ZHKET2IM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.03954&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHKET2IMHMDJNIUTRJGXZV6UIC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHKET2IMHMDJNIUTRJGXZV6UIC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC/action/storage_attestation","attest_author":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC/action/author_attestation","sign_citation":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC/action/citation_signature","submit_replication":"https://pith.science/pith/ZHKET2IMHMDJNIUTRJGXZV6UIC/action/replication_record"}},"created_at":"2026-05-18T01:20:55.079034+00:00","updated_at":"2026-05-18T01:20:55.079034+00:00"}