{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:C77CSP3INP43SM3EQ5V4EHF7TW","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":"d8772479642f3500450b6025793c51fef06f49e8011a6b2fdcb85ec27779fb56","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-12-23T06:33:38Z","title_canon_sha256":"213af9ea7c77164dc8267858bbdae6ea9723309c90657e6b2cd54daf19248921"},"schema_version":"1.0","source":{"id":"2112.12378","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.12378","created_at":"2026-07-05T03:43:26Z"},{"alias_kind":"arxiv_version","alias_value":"2112.12378v1","created_at":"2026-07-05T03:43:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.12378","created_at":"2026-07-05T03:43:26Z"},{"alias_kind":"pith_short_12","alias_value":"C77CSP3INP43","created_at":"2026-07-05T03:43:26Z"},{"alias_kind":"pith_short_16","alias_value":"C77CSP3INP43SM3E","created_at":"2026-07-05T03:43:26Z"},{"alias_kind":"pith_short_8","alias_value":"C77CSP3I","created_at":"2026-07-05T03:43:26Z"}],"graph_snapshots":[{"event_id":"sha256:f2464e4904662d806428f1cd973e25654e5fa36a2c67787081275039abf6b917","target":"graph","created_at":"2026-07-05T03:43:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.12378/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we develop a density evolution (DE) framework for analyzing the iterative joint decoding (JD) for non-orthogonal multiple access (NOMA) systems, where the ordered-statistics decoding (OSD) is applied to decode short block codes. We first investigate the density-transform feature of the soft-output OSD (SOSD), by deriving the density of the extrinsic log-likelihood ratio (LLR) with known densities of the priori LLR. Then, we represent the OSD-based JD by bipartite graphs (BGs), and develop the DE framework by characterizing the density-transform features of nodes over the BG. Num","authors_text":"Alva Kosasih, Branka Vucetic, Chentao Yue, Giyoon Park, Mahyar Shirvanimoghaddam, Ok-Sun Park, Wibowo Hardjawana, Yonghui Li","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-12-23T06:33:38Z","title":"Density Evolution Analysis of the Iterative Joint Ordered-Statistics Decoding for NOMA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.12378","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:a39cb6625b8dc0616c97402b1ac424bacd5397916ed085e4cb4dfc290e4ca24b","target":"record","created_at":"2026-07-05T03:43:26Z","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":"d8772479642f3500450b6025793c51fef06f49e8011a6b2fdcb85ec27779fb56","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-12-23T06:33:38Z","title_canon_sha256":"213af9ea7c77164dc8267858bbdae6ea9723309c90657e6b2cd54daf19248921"},"schema_version":"1.0","source":{"id":"2112.12378","kind":"arxiv","version":1}},"canonical_sha256":"17fe293f686bf9b93364876bc21cbf9da6aea530d809e74219b56b6ff3c7d64c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17fe293f686bf9b93364876bc21cbf9da6aea530d809e74219b56b6ff3c7d64c","first_computed_at":"2026-07-05T03:43:26.742280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:43:26.742280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6hYRiOPdJF2EWqVMh+TCiBz23GmrFMko6DNZFrxPwwFHOcjAyRuOm6yof83kX1Ut3b2RGhcLuHLtrTHJDrQdDA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:43:26.742633Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.12378","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a39cb6625b8dc0616c97402b1ac424bacd5397916ed085e4cb4dfc290e4ca24b","sha256:f2464e4904662d806428f1cd973e25654e5fa36a2c67787081275039abf6b917"],"state_sha256":"84f6168524b063de7ef43774914204cfb9fb5451c67b3d2090699e852f3ad10d"}