{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LXTFVRTD47BPBVOAVGDITO7XTC","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":"1bc59a62e1ae6562798d67a9c5bcc73287acc40e3953de85b3f652bcc20ad09c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-07T13:36:41Z","title_canon_sha256":"e90d42b36c5895ed6e8340ae1b62d1499888bccc54f1a64f19e79697efcf94e9"},"schema_version":"1.0","source":{"id":"2506.06796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06796","created_at":"2026-07-05T11:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06796v1","created_at":"2026-07-05T11:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06796","created_at":"2026-07-05T11:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"LXTFVRTD47BP","created_at":"2026-07-05T11:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"LXTFVRTD47BPBVOA","created_at":"2026-07-05T11:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"LXTFVRTD","created_at":"2026-07-05T11:17:55Z"}],"graph_snapshots":[{"event_id":"sha256:1f78116656b4d0564b96921df0b7f75901b706e77ff878ed1c1002087501ed9e","target":"graph","created_at":"2026-07-05T11:17:55Z","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/2506.06796/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents polarized element-pair (EP) codes for polarization-adjusted finite-field multiple-access (PA-FFMA) systems. The core innovation of FFMA systems lies in their unique processing order that exchanges the conventional sequence of channel coding and multiplexing operations, effectively solving the multiuser finite-blocklength (FBL) problem while enhancing error performance. In this architecture, EPs serve as virtual resources for user separation, where different EP codes provide distinct error performance characteristics. The proposed polarized EP code differs from classical pol","authors_text":"Qi-yue Yu, Zhang-li-han Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-07T13:36:41Z","title":"Polarized Element-pair Code Based FFMA over a Gaussian Multiple-access Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06796","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":"sha256:319915cdbdcdb470309e59bcf635ca4c254b9677f81df3b6459ca5e5bd60b826","target":"record","created_at":"2026-07-05T11:17:55Z","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":"1bc59a62e1ae6562798d67a9c5bcc73287acc40e3953de85b3f652bcc20ad09c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-06-07T13:36:41Z","title_canon_sha256":"e90d42b36c5895ed6e8340ae1b62d1499888bccc54f1a64f19e79697efcf94e9"},"schema_version":"1.0","source":{"id":"2506.06796","kind":"arxiv","version":1}},"canonical_sha256":"5de65ac663e7c2f0d5c0a98689bbf7988c1d20f594f43b820f167fb3682a5969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5de65ac663e7c2f0d5c0a98689bbf7988c1d20f594f43b820f167fb3682a5969","first_computed_at":"2026-07-05T11:17:55.769797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:55.769797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H9LEREGpomhr8mCqE4+TaFobnU7qj+0nbU85kD1rU0MFDp1ehR+fqfpet3Ua/ssPHKMpZ3MgUiL+GeydBqTHAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:55.770210Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:319915cdbdcdb470309e59bcf635ca4c254b9677f81df3b6459ca5e5bd60b826","sha256:1f78116656b4d0564b96921df0b7f75901b706e77ff878ed1c1002087501ed9e"],"state_sha256":"8035d33dace69ea766c62cd53a38257b7fe6f189555faf09dccfb5fd075b7bcc"}