{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5RH6A5AW3O4XNBK4PLTQAVLLJ3","short_pith_number":"pith:5RH6A5AW","schema_version":"1.0","canonical_sha256":"ec4fe07416dbb976855c7ae700556b4ec105cb7b3bfddf22062361bda68e929a","source":{"kind":"arxiv","id":"1104.4607","version":2},"attestation_state":"computed","paper":{"title":"Tree-Structured Random Vector Quantization for Limited-Feedback Wireless Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kritsada Mamat, Wiroonsak Santipach","submitted_at":"2011-04-24T06:43:14Z","abstract_excerpt":"We consider the quantization of a transmit beamforming vector in multiantenna channels and of a signature vector in code division multiple access (CDMA) systems. Assuming perfect channel knowledge, the receiver selects for a transmitter the vector that maximizes the performance from a random vector quantization (RVQ) codebook, which consists of independent isotropically distributed unit-norm vectors. The quantized vector is then relayed to the transmitter via a rate-limited feedback channel. The RVQ codebook requires an exhaustive search to locate the selected entry. To reduce the search compl"},"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":"1104.4607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-24T06:43:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5b0e0a3638254f6f8e0b8c81ede6f88e3b8bd4e438162f41ad376601b1200bcb","abstract_canon_sha256":"de3a8dff6a4a2cd53bb6cf1ab6670fca4499b92aae130cf6cff8347d10c21491"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:08.707175Z","signature_b64":"J1rHDfgG7yaa0UZG0jH6u1TcaZj0dyITX1glQctpQyacq9dMBh2fV69wfoGa5l6O+w01YagrQDMTDKRpQbHyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec4fe07416dbb976855c7ae700556b4ec105cb7b3bfddf22062361bda68e929a","last_reissued_at":"2026-05-18T01:30:08.706678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:08.706678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tree-Structured Random Vector Quantization for Limited-Feedback Wireless Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kritsada Mamat, Wiroonsak Santipach","submitted_at":"2011-04-24T06:43:14Z","abstract_excerpt":"We consider the quantization of a transmit beamforming vector in multiantenna channels and of a signature vector in code division multiple access (CDMA) systems. Assuming perfect channel knowledge, the receiver selects for a transmitter the vector that maximizes the performance from a random vector quantization (RVQ) codebook, which consists of independent isotropically distributed unit-norm vectors. The quantized vector is then relayed to the transmitter via a rate-limited feedback channel. The RVQ codebook requires an exhaustive search to locate the selected entry. To reduce the search compl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4607","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":"1104.4607","created_at":"2026-05-18T01:30:08.706755+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.4607v2","created_at":"2026-05-18T01:30:08.706755+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4607","created_at":"2026-05-18T01:30:08.706755+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RH6A5AW3O4X","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RH6A5AW3O4XNBK4","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RH6A5AW","created_at":"2026-05-18T12:26:20.644004+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/5RH6A5AW3O4XNBK4PLTQAVLLJ3","json":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3.json","graph_json":"https://pith.science/api/pith-number/5RH6A5AW3O4XNBK4PLTQAVLLJ3/graph.json","events_json":"https://pith.science/api/pith-number/5RH6A5AW3O4XNBK4PLTQAVLLJ3/events.json","paper":"https://pith.science/paper/5RH6A5AW"},"agent_actions":{"view_html":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3","download_json":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3.json","view_paper":"https://pith.science/paper/5RH6A5AW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.4607&json=true","fetch_graph":"https://pith.science/api/pith-number/5RH6A5AW3O4XNBK4PLTQAVLLJ3/graph.json","fetch_events":"https://pith.science/api/pith-number/5RH6A5AW3O4XNBK4PLTQAVLLJ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3/action/storage_attestation","attest_author":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3/action/author_attestation","sign_citation":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3/action/citation_signature","submit_replication":"https://pith.science/pith/5RH6A5AW3O4XNBK4PLTQAVLLJ3/action/replication_record"}},"created_at":"2026-05-18T01:30:08.706755+00:00","updated_at":"2026-05-18T01:30:08.706755+00:00"}