{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:36ORLQMBFRA7JPSJHZ67WFFUG6","short_pith_number":"pith:36ORLQMB","canonical_record":{"source":{"id":"2501.04328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-08T08:01:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"786c6d644fbe6e139b09fe72f37c335ce7ddb7a163d2a869ec71bb8607a44288","abstract_canon_sha256":"4cc61b16a92e84a6db4bcc38c05170063b2206c76180cdea47e2e0fbdea785cf"},"schema_version":"1.0"},"canonical_sha256":"df9d15c1812c41f4be493e7dfb14b437a8a2160cc8d21b752071d23910bca82c","source":{"kind":"arxiv","id":"2501.04328","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04328","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04328v1","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04328","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"36ORLQMBFRA7","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_16","alias_value":"36ORLQMBFRA7JPSJ","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_8","alias_value":"36ORLQMB","created_at":"2026-07-05T09:58:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:36ORLQMBFRA7JPSJHZ67WFFUG6","target":"record","payload":{"canonical_record":{"source":{"id":"2501.04328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-08T08:01:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"786c6d644fbe6e139b09fe72f37c335ce7ddb7a163d2a869ec71bb8607a44288","abstract_canon_sha256":"4cc61b16a92e84a6db4bcc38c05170063b2206c76180cdea47e2e0fbdea785cf"},"schema_version":"1.0"},"canonical_sha256":"df9d15c1812c41f4be493e7dfb14b437a8a2160cc8d21b752071d23910bca82c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:33.418024Z","signature_b64":"9tY5zGz25VX1kt6ohc0VoxUPcu4/LHlZiJO59/Ix6MmvN3kV6ZYm2vYNr8np2cyGiFMeY5DvidyhLT/Fe9qiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df9d15c1812c41f4be493e7dfb14b437a8a2160cc8d21b752071d23910bca82c","last_reissued_at":"2026-07-05T09:58:33.417620Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:33.417620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.04328","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:58:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mWvKm0rz565n29irSWqmdK/oqHRhogsd6DkG8UuRIF+xUX2sHXqPDLEgrJq/rvFVP0GAC2SbndRyHefCFgQZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:44:02.247683Z"},"content_sha256":"7610105ab0fa21da3fc2fa9a2fe2bd5eb37607c835ef14b1705a2cf1f5c41bae","schema_version":"1.0","event_id":"sha256:7610105ab0fa21da3fc2fa9a2fe2bd5eb37607c835ef14b1705a2cf1f5c41bae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:36ORLQMBFRA7JPSJHZ67WFFUG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lower Bound on the Error Rate of Genie-Aided Lattice Decoding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Brian M. Kurkoski, Jiajie Xue","submitted_at":"2025-01-08T08:01:44Z","abstract_excerpt":"A genie-aided decoder for finite dimensional lattice codes is considered. The decoder may exhaustively search through all possible scaling factors $\\alpha \\in \\mathbb{R}$. We show that this decoder can achieve lower word error rate (WER) than the one-shot decoder using $\\alpha_{MMSE}$ as a scaling factor. A lower bound on the WER for the decoder is found by considering the covering sphere of the lattice Voronoi region. The proposed decoder and the bound are valid for both power-constrained lattice codes and lattices. If the genie is applied at the decoder, E8 lattice code has 0.5 dB gain and B"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04328","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.04328/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:58:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lbGqS3pW5X22jGLQ40SON55MzOVJjtv3Hx0PpH7CWlur0q+1Y7bhW5RfJSSw7R3RZWvfd1OZLIyKP61xjuPSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:44:02.248066Z"},"content_sha256":"6053d0fbd0afe6f45aea3aa3ec8a748dea258a33d538b6c446cf38233d58a984","schema_version":"1.0","event_id":"sha256:6053d0fbd0afe6f45aea3aa3ec8a748dea258a33d538b6c446cf38233d58a984"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/bundle.json","state_url":"https://pith.science/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-06T14:44:02Z","links":{"resolver":"https://pith.science/pith/36ORLQMBFRA7JPSJHZ67WFFUG6","bundle":"https://pith.science/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/bundle.json","state":"https://pith.science/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/36ORLQMBFRA7JPSJHZ67WFFUG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:36ORLQMBFRA7JPSJHZ67WFFUG6","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":"4cc61b16a92e84a6db4bcc38c05170063b2206c76180cdea47e2e0fbdea785cf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-08T08:01:44Z","title_canon_sha256":"786c6d644fbe6e139b09fe72f37c335ce7ddb7a163d2a869ec71bb8607a44288"},"schema_version":"1.0","source":{"id":"2501.04328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04328","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04328v1","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04328","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"36ORLQMBFRA7","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_16","alias_value":"36ORLQMBFRA7JPSJ","created_at":"2026-07-05T09:58:33Z"},{"alias_kind":"pith_short_8","alias_value":"36ORLQMB","created_at":"2026-07-05T09:58:33Z"}],"graph_snapshots":[{"event_id":"sha256:6053d0fbd0afe6f45aea3aa3ec8a748dea258a33d538b6c446cf38233d58a984","target":"graph","created_at":"2026-07-05T09:58:33Z","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/2501.04328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A genie-aided decoder for finite dimensional lattice codes is considered. The decoder may exhaustively search through all possible scaling factors $\\alpha \\in \\mathbb{R}$. We show that this decoder can achieve lower word error rate (WER) than the one-shot decoder using $\\alpha_{MMSE}$ as a scaling factor. A lower bound on the WER for the decoder is found by considering the covering sphere of the lattice Voronoi region. The proposed decoder and the bound are valid for both power-constrained lattice codes and lattices. If the genie is applied at the decoder, E8 lattice code has 0.5 dB gain and B","authors_text":"Brian M. Kurkoski, Jiajie Xue","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-08T08:01:44Z","title":"Lower Bound on the Error Rate of Genie-Aided Lattice Decoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04328","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":"sha256:7610105ab0fa21da3fc2fa9a2fe2bd5eb37607c835ef14b1705a2cf1f5c41bae","target":"record","created_at":"2026-07-05T09:58:33Z","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":"4cc61b16a92e84a6db4bcc38c05170063b2206c76180cdea47e2e0fbdea785cf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-08T08:01:44Z","title_canon_sha256":"786c6d644fbe6e139b09fe72f37c335ce7ddb7a163d2a869ec71bb8607a44288"},"schema_version":"1.0","source":{"id":"2501.04328","kind":"arxiv","version":1}},"canonical_sha256":"df9d15c1812c41f4be493e7dfb14b437a8a2160cc8d21b752071d23910bca82c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df9d15c1812c41f4be493e7dfb14b437a8a2160cc8d21b752071d23910bca82c","first_computed_at":"2026-07-05T09:58:33.417620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:33.417620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9tY5zGz25VX1kt6ohc0VoxUPcu4/LHlZiJO59/Ix6MmvN3kV6ZYm2vYNr8np2cyGiFMeY5DvidyhLT/Fe9qiAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:33.418024Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7610105ab0fa21da3fc2fa9a2fe2bd5eb37607c835ef14b1705a2cf1f5c41bae","sha256:6053d0fbd0afe6f45aea3aa3ec8a748dea258a33d538b6c446cf38233d58a984"],"state_sha256":"e26b0ddb6e1f18f97c1079c747b26355175da7fbd7aa66b8c4ac4f4ef6e5d77e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmNI1IW9tzmPl7U5vAQ7C5/gRDwuqqgOEZtakmeuNME9NLgr+BIaGKHfQrZAkzN2WKh0igQH21fyIAXKXOHnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T14:44:02.250189Z","bundle_sha256":"3df4dc1a73e2e09c168c8df68d4ffea667ea533bd43e617f99d7ddf79761d4d1"}}