{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GE4FLRWQGHTE4SJFBI2JG54OEH","short_pith_number":"pith:GE4FLRWQ","schema_version":"1.0","canonical_sha256":"313855c6d031e64e49250a3493778e21d37a50363757e1a0ede1e586afabf422","source":{"kind":"arxiv","id":"1501.03737","version":1},"attestation_state":"computed","paper":{"title":"Polar codes in quantum information theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Christoph Hirche","submitted_at":"2015-01-15T16:42:37Z","abstract_excerpt":"Polar codes are the first capacity achieving and efficiently implementable codes for classical communication. Recently they have also been generalized to communication over classical-quantum and quantum channels. In this work we present our recent results for polar coding in quantum information theory, including applications to classical-quantum multiple access channels, interference channels and compound communication settings, including the first proof of channel coding achieving the Han-Kobayashi rate region of the interference channel without the need of a simultaneous decoder. Moreover we"},"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":"1501.03737","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-15T16:42:37Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"6c29aa4377a67ba4d4e61d909725a898c34d595886e8ae50dbdc9c62e9ca0191","abstract_canon_sha256":"08d5af571429eb575556a25573b6faf9da38964350f38768c6b72a5efe6fb8ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.922922Z","signature_b64":"NqSYha1xgkxScqGbESEbdLsDTJ7+LXu5P/6H46L8YuDgg0E5HRZ3nP5VWv6UMWgGR+ovNId6O02IcY/feWqhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"313855c6d031e64e49250a3493778e21d37a50363757e1a0ede1e586afabf422","last_reissued_at":"2026-05-18T02:29:17.922342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.922342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polar codes in quantum information theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Christoph Hirche","submitted_at":"2015-01-15T16:42:37Z","abstract_excerpt":"Polar codes are the first capacity achieving and efficiently implementable codes for classical communication. Recently they have also been generalized to communication over classical-quantum and quantum channels. In this work we present our recent results for polar coding in quantum information theory, including applications to classical-quantum multiple access channels, interference channels and compound communication settings, including the first proof of channel coding achieving the Han-Kobayashi rate region of the interference channel without the need of a simultaneous decoder. Moreover we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03737","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":"1501.03737","created_at":"2026-05-18T02:29:17.922427+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.03737v1","created_at":"2026-05-18T02:29:17.922427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03737","created_at":"2026-05-18T02:29:17.922427+00:00"},{"alias_kind":"pith_short_12","alias_value":"GE4FLRWQGHTE","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GE4FLRWQGHTE4SJF","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GE4FLRWQ","created_at":"2026-05-18T12:29:22.688609+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/GE4FLRWQGHTE4SJFBI2JG54OEH","json":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH.json","graph_json":"https://pith.science/api/pith-number/GE4FLRWQGHTE4SJFBI2JG54OEH/graph.json","events_json":"https://pith.science/api/pith-number/GE4FLRWQGHTE4SJFBI2JG54OEH/events.json","paper":"https://pith.science/paper/GE4FLRWQ"},"agent_actions":{"view_html":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH","download_json":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH.json","view_paper":"https://pith.science/paper/GE4FLRWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.03737&json=true","fetch_graph":"https://pith.science/api/pith-number/GE4FLRWQGHTE4SJFBI2JG54OEH/graph.json","fetch_events":"https://pith.science/api/pith-number/GE4FLRWQGHTE4SJFBI2JG54OEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH/action/storage_attestation","attest_author":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH/action/author_attestation","sign_citation":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH/action/citation_signature","submit_replication":"https://pith.science/pith/GE4FLRWQGHTE4SJFBI2JG54OEH/action/replication_record"}},"created_at":"2026-05-18T02:29:17.922427+00:00","updated_at":"2026-05-18T02:29:17.922427+00:00"}