{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:NPSEN77GQTIBBQKTOEKCF3M532","short_pith_number":"pith:NPSEN77G","schema_version":"1.0","canonical_sha256":"6be446ffe684d010c153711422ed9ddead8919a13dbb3eeee26e9b181c757327","source":{"kind":"arxiv","id":"1608.00474","version":2},"attestation_state":"computed","paper":{"title":"Comparison of Geometric and Probabilistic Shaping with Application to ATSC 3.0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fabian Steiner, Georg B\\\"ocherer","submitted_at":"2016-08-01T15:47:15Z","abstract_excerpt":"In this work, geometric shaping (GS) and probabilistic shaping (PS) for the AWGN channel is reviewed. Both approaches are investigated in terms of symbol-metric decoding (SMD) and bit-metric decoding (BMD). For GS, an optimization algorithm based on differential evolution is formulated. Achievable rate analysis reveals that GS suffers from a 0.4 dB performance degradation compared to PS when BMD is used. Forward-error correction simulations of the ATSC 3.0 modulation and coding formats (modcods) confirm the theoretical findings. In particular, PS enables seamless rate adaptation with one singl"},"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":"1608.00474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-08-01T15:47:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e62afc0f904babc8168762cd699e9780fc80f5f52795c3e439d6188375d3a8ff","abstract_canon_sha256":"3003dce4f0da51c9793c5f1daabcb2db2220f337456af50fd8df9367fc6f25b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:06.152378Z","signature_b64":"6pW6svIurWEUi/prrdxAl73C3UDSBai4TgDRZSc0Jz2xYIhGiTmlstphcHxOHwlXsgmInXEOa+ymWlFYFPkdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6be446ffe684d010c153711422ed9ddead8919a13dbb3eeee26e9b181c757327","last_reissued_at":"2026-05-18T01:09:06.151757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:06.151757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comparison of Geometric and Probabilistic Shaping with Application to ATSC 3.0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fabian Steiner, Georg B\\\"ocherer","submitted_at":"2016-08-01T15:47:15Z","abstract_excerpt":"In this work, geometric shaping (GS) and probabilistic shaping (PS) for the AWGN channel is reviewed. Both approaches are investigated in terms of symbol-metric decoding (SMD) and bit-metric decoding (BMD). For GS, an optimization algorithm based on differential evolution is formulated. Achievable rate analysis reveals that GS suffers from a 0.4 dB performance degradation compared to PS when BMD is used. Forward-error correction simulations of the ATSC 3.0 modulation and coding formats (modcods) confirm the theoretical findings. In particular, PS enables seamless rate adaptation with one singl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00474","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":"1608.00474","created_at":"2026-05-18T01:09:06.151858+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.00474v2","created_at":"2026-05-18T01:09:06.151858+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00474","created_at":"2026-05-18T01:09:06.151858+00:00"},{"alias_kind":"pith_short_12","alias_value":"NPSEN77GQTIB","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"NPSEN77GQTIBBQKT","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"NPSEN77G","created_at":"2026-05-18T12:30:36.002864+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/NPSEN77GQTIBBQKTOEKCF3M532","json":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532.json","graph_json":"https://pith.science/api/pith-number/NPSEN77GQTIBBQKTOEKCF3M532/graph.json","events_json":"https://pith.science/api/pith-number/NPSEN77GQTIBBQKTOEKCF3M532/events.json","paper":"https://pith.science/paper/NPSEN77G"},"agent_actions":{"view_html":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532","download_json":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532.json","view_paper":"https://pith.science/paper/NPSEN77G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.00474&json=true","fetch_graph":"https://pith.science/api/pith-number/NPSEN77GQTIBBQKTOEKCF3M532/graph.json","fetch_events":"https://pith.science/api/pith-number/NPSEN77GQTIBBQKTOEKCF3M532/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532/action/storage_attestation","attest_author":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532/action/author_attestation","sign_citation":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532/action/citation_signature","submit_replication":"https://pith.science/pith/NPSEN77GQTIBBQKTOEKCF3M532/action/replication_record"}},"created_at":"2026-05-18T01:09:06.151858+00:00","updated_at":"2026-05-18T01:09:06.151858+00:00"}