{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FXKUPT47UCKBUULW72KF4EZFBI","short_pith_number":"pith:FXKUPT47","schema_version":"1.0","canonical_sha256":"2dd547cf9fa0941a5176fe945e13250a17c8710787367d282ffae52cce814318","source":{"kind":"arxiv","id":"1107.4900","version":1},"attestation_state":"computed","paper":{"title":"Threshold Improvement of Low-Density Lattice Codes via Spatial Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Brian M. Kurkoski, Hironori Uchikawa, Kenta Kasai, Kohichi Sakaniwa","submitted_at":"2011-07-25T11:30:03Z","abstract_excerpt":"Spatially-coupled low-density lattice codes (LDLC) are constructed using protographs. Using Monte Carlo density evolution using single-Gaussian messages, we observe that the threshold of the spatially-coupled LDLC is within 0.22 dB of capacity of the unconstrained power channel. This is in contrast with a 0.5 dB noise threshold for the conventional LDLC lattice construction."},"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":"1107.4900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-25T11:30:03Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"88dbb8722f4791a57f4fa2e0adedaed5851af0b306aec0d414f89dfd7242037d","abstract_canon_sha256":"b45b1edf5b78f9e2e39eea001f3cf691fcc7e3a52d8749d37176b06dfef9d215"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:54.323725Z","signature_b64":"+RdWMiPL0/8V7TY0QQlznKepvng5PA8ltP5rEI0CaQXLMD4xMBfh22W2aCJ43qoAJ4ePYKsvitvZXIWngpToDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dd547cf9fa0941a5176fe945e13250a17c8710787367d282ffae52cce814318","last_reissued_at":"2026-05-18T04:16:54.323047Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:54.323047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Threshold Improvement of Low-Density Lattice Codes via Spatial Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Brian M. Kurkoski, Hironori Uchikawa, Kenta Kasai, Kohichi Sakaniwa","submitted_at":"2011-07-25T11:30:03Z","abstract_excerpt":"Spatially-coupled low-density lattice codes (LDLC) are constructed using protographs. Using Monte Carlo density evolution using single-Gaussian messages, we observe that the threshold of the spatially-coupled LDLC is within 0.22 dB of capacity of the unconstrained power channel. This is in contrast with a 0.5 dB noise threshold for the conventional LDLC lattice construction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4900","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":"1107.4900","created_at":"2026-05-18T04:16:54.323128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.4900v1","created_at":"2026-05-18T04:16:54.323128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4900","created_at":"2026-05-18T04:16:54.323128+00:00"},{"alias_kind":"pith_short_12","alias_value":"FXKUPT47UCKB","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FXKUPT47UCKBUULW","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FXKUPT47","created_at":"2026-05-18T12:26:28.662955+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/FXKUPT47UCKBUULW72KF4EZFBI","json":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI.json","graph_json":"https://pith.science/api/pith-number/FXKUPT47UCKBUULW72KF4EZFBI/graph.json","events_json":"https://pith.science/api/pith-number/FXKUPT47UCKBUULW72KF4EZFBI/events.json","paper":"https://pith.science/paper/FXKUPT47"},"agent_actions":{"view_html":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI","download_json":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI.json","view_paper":"https://pith.science/paper/FXKUPT47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.4900&json=true","fetch_graph":"https://pith.science/api/pith-number/FXKUPT47UCKBUULW72KF4EZFBI/graph.json","fetch_events":"https://pith.science/api/pith-number/FXKUPT47UCKBUULW72KF4EZFBI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI/action/storage_attestation","attest_author":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI/action/author_attestation","sign_citation":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI/action/citation_signature","submit_replication":"https://pith.science/pith/FXKUPT47UCKBUULW72KF4EZFBI/action/replication_record"}},"created_at":"2026-05-18T04:16:54.323128+00:00","updated_at":"2026-05-18T04:16:54.323128+00:00"}