{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:VTJOD5FQ5J3QDJODCIAOW7BSDT","short_pith_number":"pith:VTJOD5FQ","schema_version":"1.0","canonical_sha256":"acd2e1f4b0ea7701a5c31200eb7c321ce96dea6c6e7a2e4efdae5fffa859ccc8","source":{"kind":"arxiv","id":"1512.01780","version":1},"attestation_state":"computed","paper":{"title":"The generalized likelihood decoder: random coding and expurgated bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Neri Merhav","submitted_at":"2015-12-06T11:35:16Z","abstract_excerpt":"The likelihood decoder is a stochastic decoder that selects the decoded message at random, using the posterior distribution of the true underlying message given the channel output. In this work, we study a generalized version of this decoder where the posterior is proportional to a general function that depends only on the joint empirical distribution of the output vector and the codeword. This framework allows both mismatched versions and universal (MMI) versions of the likelihood decoder, as well as the corresponding ordinary deterministic decoders, among many others. We provide a direct ana"},"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":"1512.01780","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-06T11:35:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b712bb66c5e7e39fc34e0e1ea7369e95c8267566e658abf69361678bf6e023fa","abstract_canon_sha256":"8a553c22e2cf09d6d906e15c8dd33dc98f976927cc8a965a68fb5fd57215c239"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:09.935760Z","signature_b64":"uonAMTwNldgWcIvLxFpOLX6X+if6B9yGZO1IFb63CXOJu+79PV9uYlPVSUsVlBPt/BD6R66EExjAlfAvlu09Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acd2e1f4b0ea7701a5c31200eb7c321ce96dea6c6e7a2e4efdae5fffa859ccc8","last_reissued_at":"2026-05-18T00:58:09.935041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:09.935041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The generalized likelihood decoder: random coding and expurgated bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Neri Merhav","submitted_at":"2015-12-06T11:35:16Z","abstract_excerpt":"The likelihood decoder is a stochastic decoder that selects the decoded message at random, using the posterior distribution of the true underlying message given the channel output. In this work, we study a generalized version of this decoder where the posterior is proportional to a general function that depends only on the joint empirical distribution of the output vector and the codeword. This framework allows both mismatched versions and universal (MMI) versions of the likelihood decoder, as well as the corresponding ordinary deterministic decoders, among many others. We provide a direct ana"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01780","kind":"arxiv","version":1},"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":"1512.01780","created_at":"2026-05-18T00:58:09.935168+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.01780v1","created_at":"2026-05-18T00:58:09.935168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01780","created_at":"2026-05-18T00:58:09.935168+00:00"},{"alias_kind":"pith_short_12","alias_value":"VTJOD5FQ5J3Q","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"VTJOD5FQ5J3QDJOD","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"VTJOD5FQ","created_at":"2026-05-18T12:29:47.479230+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/VTJOD5FQ5J3QDJODCIAOW7BSDT","json":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT.json","graph_json":"https://pith.science/api/pith-number/VTJOD5FQ5J3QDJODCIAOW7BSDT/graph.json","events_json":"https://pith.science/api/pith-number/VTJOD5FQ5J3QDJODCIAOW7BSDT/events.json","paper":"https://pith.science/paper/VTJOD5FQ"},"agent_actions":{"view_html":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT","download_json":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT.json","view_paper":"https://pith.science/paper/VTJOD5FQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.01780&json=true","fetch_graph":"https://pith.science/api/pith-number/VTJOD5FQ5J3QDJODCIAOW7BSDT/graph.json","fetch_events":"https://pith.science/api/pith-number/VTJOD5FQ5J3QDJODCIAOW7BSDT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT/action/storage_attestation","attest_author":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT/action/author_attestation","sign_citation":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT/action/citation_signature","submit_replication":"https://pith.science/pith/VTJOD5FQ5J3QDJODCIAOW7BSDT/action/replication_record"}},"created_at":"2026-05-18T00:58:09.935168+00:00","updated_at":"2026-05-18T00:58:09.935168+00:00"}