{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L3V53N55WFRXBXKFLVLMICTJMC","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":"612ab43247beb5b7302535b3f11ac02f8f65ed183ea9f0e7a1308ea9c1b0ba37","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-26T13:35:57Z","title_canon_sha256":"cfd43c1b7bab13c8fc6b40df146878915732ba332ff64ae503eae5a63daac749"},"schema_version":"1.0","source":{"id":"1701.07695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07695","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07695v1","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07695","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"pith_short_12","alias_value":"L3V53N55WFRX","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L3V53N55WFRXBXKF","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L3V53N55","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:90a42313083ed85126bf8f9f781712056a4fdc5717d00b23ecbd7c055ed667e8","target":"graph","created_at":"2026-05-18T00:52:02Z","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 propose a source/channel duality in the exponential regime, where success/failure in source coding parallels error/correctness in channel coding, and a distortion constraint becomes a log-likelihood ratio (LLR) threshold. We establish this duality by first deriving exact exponents for lossy coding of a memoryless source P, at distortion D, for a general i.i.d. codebook distribution Q, for both encoding success (R < R(P,Q,D)) and failure (R > R(P,Q,D)). We then turn to maximum likelihood (ML) decoding over a memoryless channel P with an i.i.d. input Q, and show that if we substitute P=QP, Q=","authors_text":"Ram Zamir, Sergey Tridenski","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-26T13:35:57Z","title":"Exponential Source/Channel Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07695","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":"sha256:9dad368ab0f4016d148b025548cfacf472064dff8fa74b6fe9a4a6a5b64df23e","target":"record","created_at":"2026-05-18T00:52:02Z","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":"612ab43247beb5b7302535b3f11ac02f8f65ed183ea9f0e7a1308ea9c1b0ba37","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-26T13:35:57Z","title_canon_sha256":"cfd43c1b7bab13c8fc6b40df146878915732ba332ff64ae503eae5a63daac749"},"schema_version":"1.0","source":{"id":"1701.07695","kind":"arxiv","version":1}},"canonical_sha256":"5eebddb7bdb16370dd455d56c40a696089d5038c4734e54a48c0b8c10bac7b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eebddb7bdb16370dd455d56c40a696089d5038c4734e54a48c0b8c10bac7b35","first_computed_at":"2026-05-18T00:52:02.816300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:02.816300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JMoHZMQBJHzvr3SkOZQmgziYlU1G9H2C/SHt8RlVpRxYsd3WwRFxfd9ITndscTm9rwS3eeiCl4lfUp1wP5K4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:02.817041Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dad368ab0f4016d148b025548cfacf472064dff8fa74b6fe9a4a6a5b64df23e","sha256:90a42313083ed85126bf8f9f781712056a4fdc5717d00b23ecbd7c055ed667e8"],"state_sha256":"39ff9be6a50fb70c406dab0237ef9747d9bfb3307fe2ce684b3fc7f81023e5b3"}