{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:NTYLYFEU6EXLZKA2FDOGLYQNQO","short_pith_number":"pith:NTYLYFEU","schema_version":"1.0","canonical_sha256":"6cf0bc1494f12ebca81a28dc65e20d83856e8cc9ac126676dd19686afc77d5d7","source":{"kind":"arxiv","id":"1112.5756","version":1},"attestation_state":"computed","paper":{"title":"Relay-Assisted Interference Channel: Degrees of Freedom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aria Nosratinia, Ramy Abdallah Tannious","submitted_at":"2011-12-24T21:30:30Z","abstract_excerpt":"This paper investigates the degrees of freedom of the interference channel in the presence of a dedicated MIMO relay. The relay is used to manage the interference at the receivers. It is assumed that all nodes including the relay have channel state information only for their own links and that the relay has M (greater than or equal to K) antennas in a K-user network. We pose the question: What is the benefit of exploiting the direct links from the source to destinations compared to a simpler two-hop strategy. To answer this question, we first establish the degrees of freedom of the interferenc"},"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":"1112.5756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-24T21:30:30Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dde9e1c59c788047c98cb65707b4962469119927507b305649a19eb7692e52e2","abstract_canon_sha256":"f15583c7c3b2b9b2dde5ca5ea8c0c7c4c4f71aeadefdd63f62119c3c3be1c334"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:37.648010Z","signature_b64":"NUYHgyBeYIh4rM/tqycf5p1Gy8p8B6WEStU6x61nAfLaBtyTWvgR2mSgtLXGOIShlmuI4pHuIQuN1xQOmJvpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cf0bc1494f12ebca81a28dc65e20d83856e8cc9ac126676dd19686afc77d5d7","last_reissued_at":"2026-05-18T04:05:37.647576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:37.647576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relay-Assisted Interference Channel: Degrees of Freedom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aria Nosratinia, Ramy Abdallah Tannious","submitted_at":"2011-12-24T21:30:30Z","abstract_excerpt":"This paper investigates the degrees of freedom of the interference channel in the presence of a dedicated MIMO relay. The relay is used to manage the interference at the receivers. It is assumed that all nodes including the relay have channel state information only for their own links and that the relay has M (greater than or equal to K) antennas in a K-user network. We pose the question: What is the benefit of exploiting the direct links from the source to destinations compared to a simpler two-hop strategy. To answer this question, we first establish the degrees of freedom of the interferenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5756","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":"1112.5756","created_at":"2026-05-18T04:05:37.647653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5756v1","created_at":"2026-05-18T04:05:37.647653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5756","created_at":"2026-05-18T04:05:37.647653+00:00"},{"alias_kind":"pith_short_12","alias_value":"NTYLYFEU6EXL","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"NTYLYFEU6EXLZKA2","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"NTYLYFEU","created_at":"2026-05-18T12:26:37.096874+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/NTYLYFEU6EXLZKA2FDOGLYQNQO","json":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO.json","graph_json":"https://pith.science/api/pith-number/NTYLYFEU6EXLZKA2FDOGLYQNQO/graph.json","events_json":"https://pith.science/api/pith-number/NTYLYFEU6EXLZKA2FDOGLYQNQO/events.json","paper":"https://pith.science/paper/NTYLYFEU"},"agent_actions":{"view_html":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO","download_json":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO.json","view_paper":"https://pith.science/paper/NTYLYFEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5756&json=true","fetch_graph":"https://pith.science/api/pith-number/NTYLYFEU6EXLZKA2FDOGLYQNQO/graph.json","fetch_events":"https://pith.science/api/pith-number/NTYLYFEU6EXLZKA2FDOGLYQNQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO/action/storage_attestation","attest_author":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO/action/author_attestation","sign_citation":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO/action/citation_signature","submit_replication":"https://pith.science/pith/NTYLYFEU6EXLZKA2FDOGLYQNQO/action/replication_record"}},"created_at":"2026-05-18T04:05:37.647653+00:00","updated_at":"2026-05-18T04:05:37.647653+00:00"}