{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WCXBAAM2YGDQMHUPQB65ETGT7R","short_pith_number":"pith:WCXBAAM2","schema_version":"1.0","canonical_sha256":"b0ae10019ac187061e8f807dd24cd3fc6fdad52052204ad28ce6f2061e5c00f9","source":{"kind":"arxiv","id":"1812.07864","version":1},"attestation_state":"computed","paper":{"title":"Probabilistically Shaped Multi-Level Coding with Polar Codes for Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Onurcan \\.I\\c{s}can, Ronald B\\\"ohnke, Wen Xu","submitted_at":"2018-12-19T10:34:09Z","abstract_excerpt":"A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most of the shaping loss on the fading channels. A polar code based implementation of the proposed scheme is presented, where shaping is performed by using a precoder at the transmitter without increasing the decoding complexity. Simulation results show that performance improvements can be obtained compared to BICM- and MLC-based polar coding without shaping on Ra"},"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":"1812.07864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-19T10:34:09Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"894b9abc9d8f154dfd44ec7f288ed05d6a0e9bdf443f15b0d6147bef30d6ffaa","abstract_canon_sha256":"a980578f6f5f256665c3fb58f0ed0f32aadcc9041465b518885b860c4de6b4d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:55.687925Z","signature_b64":"KsELIIBkC+reVgS/fg5XOuus7xXzLJejnBGw8amKek3UiSEBUyLLPMcyJl+/c2o6xcpGafBeFqZy++BGMl1JCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0ae10019ac187061e8f807dd24cd3fc6fdad52052204ad28ce6f2061e5c00f9","last_reissued_at":"2026-05-17T23:57:55.687287Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:55.687287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Probabilistically Shaped Multi-Level Coding with Polar Codes for Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Onurcan \\.I\\c{s}can, Ronald B\\\"ohnke, Wen Xu","submitted_at":"2018-12-19T10:34:09Z","abstract_excerpt":"A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most of the shaping loss on the fading channels. A polar code based implementation of the proposed scheme is presented, where shaping is performed by using a precoder at the transmitter without increasing the decoding complexity. Simulation results show that performance improvements can be obtained compared to BICM- and MLC-based polar coding without shaping on Ra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07864","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":"1812.07864","created_at":"2026-05-17T23:57:55.687414+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.07864v1","created_at":"2026-05-17T23:57:55.687414+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07864","created_at":"2026-05-17T23:57:55.687414+00:00"},{"alias_kind":"pith_short_12","alias_value":"WCXBAAM2YGDQ","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"WCXBAAM2YGDQMHUP","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"WCXBAAM2","created_at":"2026-05-18T12:32:59.047623+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/WCXBAAM2YGDQMHUPQB65ETGT7R","json":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R.json","graph_json":"https://pith.science/api/pith-number/WCXBAAM2YGDQMHUPQB65ETGT7R/graph.json","events_json":"https://pith.science/api/pith-number/WCXBAAM2YGDQMHUPQB65ETGT7R/events.json","paper":"https://pith.science/paper/WCXBAAM2"},"agent_actions":{"view_html":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R","download_json":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R.json","view_paper":"https://pith.science/paper/WCXBAAM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.07864&json=true","fetch_graph":"https://pith.science/api/pith-number/WCXBAAM2YGDQMHUPQB65ETGT7R/graph.json","fetch_events":"https://pith.science/api/pith-number/WCXBAAM2YGDQMHUPQB65ETGT7R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R/action/storage_attestation","attest_author":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R/action/author_attestation","sign_citation":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R/action/citation_signature","submit_replication":"https://pith.science/pith/WCXBAAM2YGDQMHUPQB65ETGT7R/action/replication_record"}},"created_at":"2026-05-17T23:57:55.687414+00:00","updated_at":"2026-05-17T23:57:55.687414+00:00"}