{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LPRFWYF7BTKI7RZLP3OGDT32EK","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":"2ae58070cfc0152189ebc122aa56fc81915a62983bb0d01860a310fb5e4f30a9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-29T14:01:23Z","title_canon_sha256":"de31bdaa4922a69f7c0fee547eeaafe3272029d83538a20aa1f3774f9055c0de"},"schema_version":"1.0","source":{"id":"1211.6918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6918","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6918v1","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6918","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"LPRFWYF7BTKI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LPRFWYF7BTKI7RZL","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LPRFWYF7","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:13c1b6a5bc647bf5f504d9e08a0a490c7f677edb770cdb30ee4b4c4dd9e99bb0","target":"graph","created_at":"2026-05-18T03:39:42Z","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 consider the joint design of polar coding and higher-order modulation schemes for ever increased spectral efficiency. The close connection between the polar code construction and the multi-level coding approach is described in detail. Relations between different modulation schemes such as bit-interleaved coded modulation (BICM) and multi-level coding (MLC) in case of polar-coded modulation as well as the influence of the applied labeling rule and the selection of frozen channels are demonstrated.","authors_text":"Andreas Schenk, Clemens Stierstorfer, Johannes B. Huber, Mathis Seidl","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-29T14:01:23Z","title":"Aspects of Polar-Coded Modulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6918","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":"sha256:8a07334c96d8ec1c14a02b4ad4719eaecb8705863b12e3fa80542e43acaef901","target":"record","created_at":"2026-05-18T03:39:42Z","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":"2ae58070cfc0152189ebc122aa56fc81915a62983bb0d01860a310fb5e4f30a9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-29T14:01:23Z","title_canon_sha256":"de31bdaa4922a69f7c0fee547eeaafe3272029d83538a20aa1f3774f9055c0de"},"schema_version":"1.0","source":{"id":"1211.6918","kind":"arxiv","version":1}},"canonical_sha256":"5be25b60bf0cd48fc72b7edc61cf7a22b6dd28873c763a03bcb2b9230c35b044","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5be25b60bf0cd48fc72b7edc61cf7a22b6dd28873c763a03bcb2b9230c35b044","first_computed_at":"2026-05-18T03:39:42.728151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:42.728151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LVP6p4cZjZKn7mEOGfSTtJIe0QiFB+Uo1PEneTFSjVQsL8c4bfU/FGFrYpHLjaz4yPFvn1EdPOpVSYDyX9fMCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:42.729041Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a07334c96d8ec1c14a02b4ad4719eaecb8705863b12e3fa80542e43acaef901","sha256:13c1b6a5bc647bf5f504d9e08a0a490c7f677edb770cdb30ee4b4c4dd9e99bb0"],"state_sha256":"714ac8ab277860d95f0f6388016dc897969288337705ea261990e9c8042bbc7c"}