{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EXE3EUMUM4YOVMHA74I7APWHEM","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":"5e5cc5ed48fc7bce9a4bf41a0d74c929a75d20f2105bb8a7f5f55769ff41ea66","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-08-18T10:45:12Z","title_canon_sha256":"026127662cae7ccf9593822a36a694f6e179fc50ffb1817b76d0e14e535588c3"},"schema_version":"1.0","source":{"id":"1708.05558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05558","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05558v1","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05558","created_at":"2026-05-18T00:37:49Z"},{"alias_kind":"pith_short_12","alias_value":"EXE3EUMUM4YO","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EXE3EUMUM4YOVMHA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EXE3EUMU","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:795c8a989c4b4685890fea7b1ca448ba4ec2094cf73a1db17e5b729b33f215e0","target":"graph","created_at":"2026-05-18T00:37:49Z","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":"This work shows how non-binary low-density parity-check codes over GF($2^p$) can be combined with probabilistic amplitude shaping (PAS) (B\\\"ocherer, et al., 2015), which combines forward-error correction with non-uniform signaling for power-efficient communication. Ultra-sparse low-density parity-check codes over GF(64) and GF(256) gain 0.6 dB in power efficiency over state-of-the-art binary LDPC codes at a spectral efficiency of 1.5 bits per channel use and a blocklength of 576 bits. The simulation results are compared to finite length coding bounds and complemented by density evolution analy","authors_text":"Fabian Steiner, Georg B\\\"ocherer, Gianluigi Liva","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-08-18T10:45:12Z","title":"Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05558","kind":"arxiv","version":1},"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":"sha256:539efef36ee8a1c8218582d44ec0a77d265e3f0be48da73b02fc8493e5192c99","target":"record","created_at":"2026-05-18T00:37:49Z","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":"5e5cc5ed48fc7bce9a4bf41a0d74c929a75d20f2105bb8a7f5f55769ff41ea66","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-08-18T10:45:12Z","title_canon_sha256":"026127662cae7ccf9593822a36a694f6e179fc50ffb1817b76d0e14e535588c3"},"schema_version":"1.0","source":{"id":"1708.05558","kind":"arxiv","version":1}},"canonical_sha256":"25c9b251946730eab0e0ff11f03ec723202db23da487f730275b756e93fad61b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c9b251946730eab0e0ff11f03ec723202db23da487f730275b756e93fad61b","first_computed_at":"2026-05-18T00:37:49.716679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:49.716679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mnfypNW/tpMvmPRe3mLLIsjVUvN9j2S5k/CIM4lS2Ji8IC4Sva4HN8gZgl/6gYKbdAinZFgKPbZIZE5Y8I9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:49.717336Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:539efef36ee8a1c8218582d44ec0a77d265e3f0be48da73b02fc8493e5192c99","sha256:795c8a989c4b4685890fea7b1ca448ba4ec2094cf73a1db17e5b729b33f215e0"],"state_sha256":"acad94257e38ad4614d5cdcb06c08e95d0066b3a4f0b9cd78b0171f7d9ea9a15"}