{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RYJGJ4B2GOHDIKKLRJ57AY3VXX","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":"5136b4255a23bbadfc65b8adedc2e2bc8db989491f566fb3aed060019b769571","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-24T13:27:43Z","title_canon_sha256":"aecdc8f78008ca3dd009ffab4fc02994aa8239bc6d44bdc9e1e1924815d9def1"},"schema_version":"1.0","source":{"id":"1612.08176","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08176","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08176v3","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08176","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"RYJGJ4B2GOHD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RYJGJ4B2GOHDIKKL","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RYJGJ4B2","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:6950db832e3bfa140c810e70520766f1f4ccfbd4de878b345e153ad5426cd017","target":"graph","created_at":"2026-05-18T00:34:35Z","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 a continuous-time bandlimited additive white Gaussian noise channel with 1-bit output quantization. On such a channel the information is carried by the temporal distances of the zero-crossings of the transmit signal. The set of input signals is constrained by the bandwidth of the channel and an average power constraint. We derive a lower bound on the capacity by lower-bounding the mutual information rate for a given set of waveforms with exponentially distributed zero-crossing distances, where we focus on the behavior in the mid to high signal-to-noise ratio regime. We find that in","authors_text":"Gerhard Fettweis, Meik D\\\"orpinghaus, Sandra Bender","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-24T13:27:43Z","title":"On the Achievable Rate of Bandlimited Continuous-Time AWGN Channels with 1-Bit Output Quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08176","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:eb9bee538a9357d9bb11848cf3470bcca5378e356a55ff80604146fdb46ad6ad","target":"record","created_at":"2026-05-18T00:34:35Z","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":"5136b4255a23bbadfc65b8adedc2e2bc8db989491f566fb3aed060019b769571","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-24T13:27:43Z","title_canon_sha256":"aecdc8f78008ca3dd009ffab4fc02994aa8239bc6d44bdc9e1e1924815d9def1"},"schema_version":"1.0","source":{"id":"1612.08176","kind":"arxiv","version":3}},"canonical_sha256":"8e1264f03a338e34294b8a7bf06375bdd41d765bc834a32760236666c3eca860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e1264f03a338e34294b8a7bf06375bdd41d765bc834a32760236666c3eca860","first_computed_at":"2026-05-18T00:34:35.173877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:35.173877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kYWg603DBZ7O6WvBlf1H790Erp7IlezBYxy7dLvjDw7YNaR1pTiiGvcc/Hp0VjuwoJfVp9EYvLGGLx5J3geeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:35.174261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08176","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb9bee538a9357d9bb11848cf3470bcca5378e356a55ff80604146fdb46ad6ad","sha256:6950db832e3bfa140c810e70520766f1f4ccfbd4de878b345e153ad5426cd017"],"state_sha256":"88107bffc8626c7547c90721822304b6a789f0c29d6cc2ce0133a061282ccbfd"}