{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5BFWRHLFIP7I7HDIIBBT7PKT3V","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":"b9125e536c931b4d021f0a528b765084b62bce10ebd860106c7542fb31fa9ff5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-30T18:57:00Z","title_canon_sha256":"151191083bc25ccf4b2818a6d17a534b37286cf84efdd0d0334c80e6a424d447"},"schema_version":"1.0","source":{"id":"1611.10309","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10309","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10309v3","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10309","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"5BFWRHLFIP7I","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5BFWRHLFIP7I7HDI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5BFWRHLF","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:4d9468f132f846a4b27054d26e41c99704ebb2fb5ed730cc4ae23aaf2e7db6c2","target":"graph","created_at":"2026-05-18T00:41:38Z","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":"Faster-than-Nyquist (FTN) signal achieves higher spectral efficiency and capacity compared to Nyquist signal due to its smaller pulse interval or narrower subcarrier spacing. Shannon limit typically defines the upper-limit capacity of Nyquist signal. To the best of our knowledge, the mathematical expression for the capacity limit of FTN non-orthogonal frequency-division multiplexing (NOFDM) signal is first demonstrated in this paper. The mathematical expression shows that FTN NOFDM signal has the potential to achieve a higher capacity limit compared to Nyquist signal. In this paper, we demonst","authors_text":"Ji Zhou, Mengqi Guo, Xizi Tang, Yaojun Qiao, Zhanyu Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-30T18:57:00Z","title":"Capacity limit for faster-than-Nyquist non-orthogonal frequency-division multiplexing signaling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10309","kind":"arxiv","version":3},"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:ce359bcdcf7a93eb20587efc17a66aedc3130ceba2e2aeb0c33b219a0770a17e","target":"record","created_at":"2026-05-18T00:41:38Z","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":"b9125e536c931b4d021f0a528b765084b62bce10ebd860106c7542fb31fa9ff5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-30T18:57:00Z","title_canon_sha256":"151191083bc25ccf4b2818a6d17a534b37286cf84efdd0d0334c80e6a424d447"},"schema_version":"1.0","source":{"id":"1611.10309","kind":"arxiv","version":3}},"canonical_sha256":"e84b689d6543fe8f9c6840433fbd53dd636add7b49c4b4622bbd1d2720ea83d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e84b689d6543fe8f9c6840433fbd53dd636add7b49c4b4622bbd1d2720ea83d4","first_computed_at":"2026-05-18T00:41:38.241642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:38.241642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MOLFSS0Xkz8aImMtNgtf4fOJQV1R7YFuXP1095tZC2aaY830jJv97veII8Q0XfpJgbavSC7MHMWpeS+4F21zDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:38.242095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.10309","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce359bcdcf7a93eb20587efc17a66aedc3130ceba2e2aeb0c33b219a0770a17e","sha256:4d9468f132f846a4b27054d26e41c99704ebb2fb5ed730cc4ae23aaf2e7db6c2"],"state_sha256":"0906e35ca48e9ef35a62e5fb64f74cf49833098e034bea6594029e1655257fcc"}