{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DSNLNZCBCPEKRMYC3OEPOJQZCL","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":"a9f6548e0c9475568e2906eb67873558b600a9d61de034d648c17d8d0c8b03a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-04T20:10:33Z","title_canon_sha256":"4c943997e470221bcb200b0633b9007214e2c1e81c8fb622b4d2d0dc3d9edca2"},"schema_version":"1.0","source":{"id":"1810.02411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02411","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02411v2","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02411","created_at":"2026-05-17T23:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"DSNLNZCBCPEK","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DSNLNZCBCPEKRMYC","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DSNLNZCB","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:da6f70ec55bf3911fc25892b0ea334a842ae2c9a081b828a2c058f177c8a6f71","target":"graph","created_at":"2026-05-17T23:52:15Z","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":"In this work, we construct energy-efficient variable-to-fixed length (V2F), fixed-to-variable length (F2V), and variable-to-variable length (V2V) prefix-free codes, which are optimal (or near-optimal) in the sense that no (or few) other codes with the size can achieve a smaller energy per code letter for the same entropy rate. Under stringent constraints of 4096 entries or below per codebook, the constructed codes yield an energy per code letter within a few tenths of a dB of the unconstrained theoretic lower bound, across a wide range of entropy rates with a very fine granularity. We also pro","authors_text":"Junho Cho","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-04T20:10:33Z","title":"Prefix-Free Code Distribution Matching for Probabilistic Constellation Shaping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02411","kind":"arxiv","version":2},"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":"sha256:7eaf1a0d6088366c0c578d4e20c21bd59c1177a18affd84c251c5579fd0f1831","target":"record","created_at":"2026-05-17T23:52:15Z","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":"a9f6548e0c9475568e2906eb67873558b600a9d61de034d648c17d8d0c8b03a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-04T20:10:33Z","title_canon_sha256":"4c943997e470221bcb200b0633b9007214e2c1e81c8fb622b4d2d0dc3d9edca2"},"schema_version":"1.0","source":{"id":"1810.02411","kind":"arxiv","version":2}},"canonical_sha256":"1c9ab6e44113c8a8b302db88f7261912c1fa5c5b3e43b2719975b7e5915a417c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c9ab6e44113c8a8b302db88f7261912c1fa5c5b3e43b2719975b7e5915a417c","first_computed_at":"2026-05-17T23:52:15.485243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:15.485243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HPEMaiV2QRNWbD4E8+lllGET8Vrowqk9XZmMnE8/952Od6AQa1H3i7vEGuVLwXrNjTP92Q1S3xpYHPK6e00GCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:15.485969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7eaf1a0d6088366c0c578d4e20c21bd59c1177a18affd84c251c5579fd0f1831","sha256:da6f70ec55bf3911fc25892b0ea334a842ae2c9a081b828a2c058f177c8a6f71"],"state_sha256":"d88d4b8be92b060b1d8f91cfd3ac761b6d33d47fb41e5536f3742ec6388012de"}