{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:HVWK5MSZB3JYWE6ZAL6RM6BJJM","short_pith_number":"pith:HVWK5MSZ","schema_version":"1.0","canonical_sha256":"3d6caeb2590ed38b13d902fd1678294b2e39acace01ef6d8b74cfcd4b90f2601","source":{"kind":"arxiv","id":"0908.2282","version":2},"attestation_state":"computed","paper":{"title":"Real Interference Alignment: Exploiting the Potential of Single Antenna Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Abolfazl Seyed Motahari, Amir Keyvan Khandani, Mohammad-Ali Maddah-Ali, Shahab Oveis Gharan","submitted_at":"2009-08-17T19:49:23Z","abstract_excerpt":"In this paper, the available spatial Degrees-Of-Freedoms (DOF) in single antenna systems is exploited. A new coding scheme is proposed in which several data streams having fractional multiplexing gains are sent by transmitters and interfering streams are aligned at receivers. Viewed as a field over rational numbers, a received signal has infinite fractional DOFs, allowing simultaneous interference alignment of any finite number of signals at any finite number of receivers. The coding scheme is backed up by a recent result in the field of Diophantine approximation, which states that the converg"},"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":"0908.2282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-08-17T19:49:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0496101d7b13be26769a62e139c7134a367e79ccb35af1a2ed0bf7de63d4b26d","abstract_canon_sha256":"2987fa04d234bcd90155fe891603139bd6eae2a82176ab578fbe8ac9fa4b3029"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:58.041153Z","signature_b64":"nfMPz2lI8XDcn6rxD3fBQB6vxi8jr9+wk8FbT7j28gm8vYujFuoUmoQiAICy8eqg0/YgMTb83R2ulsh2AurXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d6caeb2590ed38b13d902fd1678294b2e39acace01ef6d8b74cfcd4b90f2601","last_reissued_at":"2026-05-18T00:57:58.040564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:58.040564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Real Interference Alignment: Exploiting the Potential of Single Antenna Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Abolfazl Seyed Motahari, Amir Keyvan Khandani, Mohammad-Ali Maddah-Ali, Shahab Oveis Gharan","submitted_at":"2009-08-17T19:49:23Z","abstract_excerpt":"In this paper, the available spatial Degrees-Of-Freedoms (DOF) in single antenna systems is exploited. A new coding scheme is proposed in which several data streams having fractional multiplexing gains are sent by transmitters and interfering streams are aligned at receivers. Viewed as a field over rational numbers, a received signal has infinite fractional DOFs, allowing simultaneous interference alignment of any finite number of signals at any finite number of receivers. The coding scheme is backed up by a recent result in the field of Diophantine approximation, which states that the converg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2282","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":"0908.2282","created_at":"2026-05-18T00:57:58.040657+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.2282v2","created_at":"2026-05-18T00:57:58.040657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2282","created_at":"2026-05-18T00:57:58.040657+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVWK5MSZB3JY","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVWK5MSZB3JYWE6Z","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVWK5MSZ","created_at":"2026-05-18T12:25:59.703012+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/HVWK5MSZB3JYWE6ZAL6RM6BJJM","json":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM.json","graph_json":"https://pith.science/api/pith-number/HVWK5MSZB3JYWE6ZAL6RM6BJJM/graph.json","events_json":"https://pith.science/api/pith-number/HVWK5MSZB3JYWE6ZAL6RM6BJJM/events.json","paper":"https://pith.science/paper/HVWK5MSZ"},"agent_actions":{"view_html":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM","download_json":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM.json","view_paper":"https://pith.science/paper/HVWK5MSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.2282&json=true","fetch_graph":"https://pith.science/api/pith-number/HVWK5MSZB3JYWE6ZAL6RM6BJJM/graph.json","fetch_events":"https://pith.science/api/pith-number/HVWK5MSZB3JYWE6ZAL6RM6BJJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM/action/storage_attestation","attest_author":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM/action/author_attestation","sign_citation":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM/action/citation_signature","submit_replication":"https://pith.science/pith/HVWK5MSZB3JYWE6ZAL6RM6BJJM/action/replication_record"}},"created_at":"2026-05-18T00:57:58.040657+00:00","updated_at":"2026-05-18T00:57:58.040657+00:00"}