{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BE5KUAH5GVXVXWVP5UL6XWXIGK","short_pith_number":"pith:BE5KUAH5","canonical_record":{"source":{"id":"1301.1415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T05:12:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"14ef630ab4704df017bfe5a02b454ff7baee3cef1d0dd7b5dc952b562eaf0a6c","abstract_canon_sha256":"ca47db9955c86caa60ad372849fff96fd506191754c80782e6be0c7f59e3036d"},"schema_version":"1.0"},"canonical_sha256":"093aaa00fd356f5bdaafed17ebdae832b4352eb551a2cf1293abbc2dc5522578","source":{"kind":"arxiv","id":"1301.1415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1415","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1415v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1415","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"BE5KUAH5GVXV","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BE5KUAH5GVXVXWVP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BE5KUAH5","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BE5KUAH5GVXVXWVP5UL6XWXIGK","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T05:12:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"14ef630ab4704df017bfe5a02b454ff7baee3cef1d0dd7b5dc952b562eaf0a6c","abstract_canon_sha256":"ca47db9955c86caa60ad372849fff96fd506191754c80782e6be0c7f59e3036d"},"schema_version":"1.0"},"canonical_sha256":"093aaa00fd356f5bdaafed17ebdae832b4352eb551a2cf1293abbc2dc5522578","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:56.650627Z","signature_b64":"K2nCG7QIyg31rCz+C2mWBfqbVEo82Fsa6VF9YZn/sxccx3YhDBVlBE9bCwTorOYBy3+e3me9A3m4w22/F1FEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"093aaa00fd356f5bdaafed17ebdae832b4352eb551a2cf1293abbc2dc5522578","last_reissued_at":"2026-05-18T00:57:56.650035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:56.650035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1415","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":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BU+3FsgmE9J7e+VkCVTLCg6ZRCn5wRlPexfvt52xlPJLlLpyRwaYZLhCCV6qoTq5b0JCv7x4JFA75Faw2pDLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T05:32:10.443765Z"},"content_sha256":"0bf68deb653f2fde80cd14f01bfd95efc2a87e47da178c2c396f9adf474840e6","schema_version":"1.0","event_id":"sha256:0bf68deb653f2fde80cd14f01bfd95efc2a87e47da178c2c396f9adf474840e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BE5KUAH5GVXVXWVP5UL6XWXIGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Complex LLL Algorithm for Integer Forcing Linear Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Amin Sakzad, Emanuele Viterbo, J. Harshan","submitted_at":"2013-01-08T05:12:34Z","abstract_excerpt":"Integer-forcing (IF) linear receiver has been recently introduced for multiple-input multiple-output (MIMO) fading channels. The receiver has to compute an integer linear combination of the symbols as a part of the decoding process. In particular, the integer coefficients have to be chosen based on the channel realizations, and the choice of such coefficients is known to determine the receiver performance. The original known solution of finding these integers was based on exhaustive search. A practical algorithm based on Hermite-Korkine-Zolotareff (HKZ) and Minkowski lattice reduction algorith"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1415","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FS++3irpWZweGs5KyclXy4HQccP+oRtPrXHbHg+XF+Xjvo16hSXolfI/XNf1Eru/UNgSuFBAiFEW5DwCQ8r4Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T05:32:10.444337Z"},"content_sha256":"7e68bbda9dec0b3b534a2d8bdace117761e66717fdd9ac08877f20df1fa44808","schema_version":"1.0","event_id":"sha256:7e68bbda9dec0b3b534a2d8bdace117761e66717fdd9ac08877f20df1fa44808"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/bundle.json","state_url":"https://pith.science/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/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":"2026-07-01T05:32:10Z","links":{"resolver":"https://pith.science/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK","bundle":"https://pith.science/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/bundle.json","state":"https://pith.science/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BE5KUAH5GVXVXWVP5UL6XWXIGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BE5KUAH5GVXVXWVP5UL6XWXIGK","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":"ca47db9955c86caa60ad372849fff96fd506191754c80782e6be0c7f59e3036d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T05:12:34Z","title_canon_sha256":"14ef630ab4704df017bfe5a02b454ff7baee3cef1d0dd7b5dc952b562eaf0a6c"},"schema_version":"1.0","source":{"id":"1301.1415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1415","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1415v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1415","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"BE5KUAH5GVXV","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BE5KUAH5GVXVXWVP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BE5KUAH5","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:7e68bbda9dec0b3b534a2d8bdace117761e66717fdd9ac08877f20df1fa44808","target":"graph","created_at":"2026-05-18T00:57:56Z","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":"Integer-forcing (IF) linear receiver has been recently introduced for multiple-input multiple-output (MIMO) fading channels. The receiver has to compute an integer linear combination of the symbols as a part of the decoding process. In particular, the integer coefficients have to be chosen based on the channel realizations, and the choice of such coefficients is known to determine the receiver performance. The original known solution of finding these integers was based on exhaustive search. A practical algorithm based on Hermite-Korkine-Zolotareff (HKZ) and Minkowski lattice reduction algorith","authors_text":"Amin Sakzad, Emanuele Viterbo, J. Harshan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T05:12:34Z","title":"On Complex LLL Algorithm for Integer Forcing Linear Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1415","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":"sha256:0bf68deb653f2fde80cd14f01bfd95efc2a87e47da178c2c396f9adf474840e6","target":"record","created_at":"2026-05-18T00:57:56Z","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":"ca47db9955c86caa60ad372849fff96fd506191754c80782e6be0c7f59e3036d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T05:12:34Z","title_canon_sha256":"14ef630ab4704df017bfe5a02b454ff7baee3cef1d0dd7b5dc952b562eaf0a6c"},"schema_version":"1.0","source":{"id":"1301.1415","kind":"arxiv","version":1}},"canonical_sha256":"093aaa00fd356f5bdaafed17ebdae832b4352eb551a2cf1293abbc2dc5522578","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"093aaa00fd356f5bdaafed17ebdae832b4352eb551a2cf1293abbc2dc5522578","first_computed_at":"2026-05-18T00:57:56.650035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:56.650035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2nCG7QIyg31rCz+C2mWBfqbVEo82Fsa6VF9YZn/sxccx3YhDBVlBE9bCwTorOYBy3+e3me9A3m4w22/F1FEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:56.650627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bf68deb653f2fde80cd14f01bfd95efc2a87e47da178c2c396f9adf474840e6","sha256:7e68bbda9dec0b3b534a2d8bdace117761e66717fdd9ac08877f20df1fa44808"],"state_sha256":"18fcd25bf05bea358dbddadc467889dd89401e7906d3c1295d2e7a0d1294ef6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffFRxMss4Thcsa96aRNP/85HFpDqNuFAXUn59UMSoTJKoKlSoYRswQG+2eRamqAwGLpAJKLE242ewbmDihuoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T05:32:10.447364Z","bundle_sha256":"08cff93250930283335ed59db2ce943ddf6ec030f6b77b281bfc0178eb93998b"}}