{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BMJOWINY4FZKE4E6J4MTSHNEHC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6de8d404e0e1f3e3a2a8cc046be4f62cdf7199ba27c69fae1b4dca61cf45ff72","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-18T06:48:50Z","title_canon_sha256":"a6c9cbdb356e524d9bcdeb7613787683e89e37159dafbbc7892e1d7bef44f894"},"schema_version":"1.0","source":{"id":"1902.06422","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06422","created_at":"2026-05-17T23:43:49Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06422v5","created_at":"2026-05-17T23:43:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06422","created_at":"2026-05-17T23:43:49Z"},{"alias_kind":"pith_short_12","alias_value":"BMJOWINY4FZK","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BMJOWINY4FZKE4E6","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BMJOWINY","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:f2635f0303838057a09ee29487ec231c8265761f5b8e9364a7720c0cdf26ee4d","target":"graph","created_at":"2026-05-17T23:43:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider asynchronous CDMA systems in no-fading environments with a particular focus on a certain user. This certain user is called a desired user in this paper. In such a situation, an optimal sequence, maximum Signal-to-Interference plus Noise Ratio (SINR) and the maximum capacity for a desired user are derived with other spreading sequences being given and fixed. In addition, the maximum SINR and the optimal sequence for a desired user are written in terms of the minimum eigenvalue and the corresponding eigenvector of a matrix, respectively. Since it is not straightforward to obtain an e","authors_text":"Hirofumi Tsuda","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-18T06:48:50Z","title":"Optimal Sequence and Performance for Desired User in Asynchronous CDMA System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06422","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0c7bb9b4de58d14cd2e3261e1ba463902431bf86792b7bba2bdcafce84c22ca6","target":"record","created_at":"2026-05-17T23:43:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6de8d404e0e1f3e3a2a8cc046be4f62cdf7199ba27c69fae1b4dca61cf45ff72","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-18T06:48:50Z","title_canon_sha256":"a6c9cbdb356e524d9bcdeb7613787683e89e37159dafbbc7892e1d7bef44f894"},"schema_version":"1.0","source":{"id":"1902.06422","kind":"arxiv","version":5}},"canonical_sha256":"0b12eb21b8e172a2709e4f19391da438a131acdf849d801e468e704b5490d2ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b12eb21b8e172a2709e4f19391da438a131acdf849d801e468e704b5490d2ef","first_computed_at":"2026-05-17T23:43:49.876217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:49.876217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6dBeFH4llJ8jtBTAD+dVHX1sk/8gYWlIhnyEOJeHbnSeR5+c+XELZHB2lgBXcXaH8kumjK+OUShdT4l+R4EuDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:49.876858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06422","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c7bb9b4de58d14cd2e3261e1ba463902431bf86792b7bba2bdcafce84c22ca6","sha256:f2635f0303838057a09ee29487ec231c8265761f5b8e9364a7720c0cdf26ee4d"],"state_sha256":"ecb83fbbc29308f96831ce881e181488eec3fc3a11573ebdc5e10a93f89bd044"}