{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:H342PBVOXMTZIE4OYIOQSSIAQO","short_pith_number":"pith:H342PBVO","canonical_record":{"source":{"id":"1612.05286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-15T22:03:13Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"44fce9759b769ad0021afac41e86be00aa290f43d3b1637eba872198f57448e8","abstract_canon_sha256":"f999da5c493dc5c5eb333976a2246b4ce6671357b067c356e61abbe3f25e4785"},"schema_version":"1.0"},"canonical_sha256":"3ef9a786aebb2794138ec21d09490083af74462f3338f4d9f1042de46d1c5b0b","source":{"kind":"arxiv","id":"1612.05286","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05286","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05286v1","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05286","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"H342PBVOXMTZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"H342PBVOXMTZIE4O","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"H342PBVO","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:H342PBVOXMTZIE4OYIOQSSIAQO","target":"record","payload":{"canonical_record":{"source":{"id":"1612.05286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-15T22:03:13Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"44fce9759b769ad0021afac41e86be00aa290f43d3b1637eba872198f57448e8","abstract_canon_sha256":"f999da5c493dc5c5eb333976a2246b4ce6671357b067c356e61abbe3f25e4785"},"schema_version":"1.0"},"canonical_sha256":"3ef9a786aebb2794138ec21d09490083af74462f3338f4d9f1042de46d1c5b0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:52.131515Z","signature_b64":"Cd6SVPig48LmbVfIkxFGjfSIDO628jfd/YZjeIS56BqcVTd5pmf7ngQlE98PazNG6mXessUPJE6RGGVOtw75DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ef9a786aebb2794138ec21d09490083af74462f3338f4d9f1042de46d1c5b0b","last_reissued_at":"2026-05-18T00:54:52.130879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:52.130879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.05286","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":"2026-05-18T00:54:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fiOBw3f65P8TEE7pnHxb7bSElYMo/Fgvsj4RpatTXGSvMb541bnCteF40T+OTN41PjjvQr7buawhc+I6NiwzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:07:47.212775Z"},"content_sha256":"705794032680c85f75ae927736bce6a87093be267540ec80e466ad933b92d713","schema_version":"1.0","event_id":"sha256:705794032680c85f75ae927736bce6a87093be267540ec80e466ad933b92d713"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:H342PBVOXMTZIE4OYIOQSSIAQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"16 QAM Communication with 1-Bit Transmitters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Donia Ben Amor, Hela Jedda, Josef A. Nossek","submitted_at":"2016-12-15T22:03:13Z","abstract_excerpt":"We present a novel non-linear precoding technique for the transmission of 16 quadrature amplitude modulation (QAM) symbols in a 1-bit massive multi-user (MU) multipleinput- single-output (MISO) downlink system. We deploy low resolution digital-to-analog converters (DACs) at the transmitter for the sake of decreasing the high energy consumption related to the massive MISO system. To mitigate the multi-user interference (MUI) and the distortions due to the low resolution DACs, the minimum bit error ratio (MBER) precoder was introduced in previous work. However, this precoder technique is restric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05286","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":"2026-05-18T00:54:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mOVuqmWqdk0bR4dZv39TLjF/ihBOyzVSjtHZPdCG6440tMFvLNGksKLzYXzMWMA8Fvy4dLNPNivHpJDTGs85Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:07:47.213497Z"},"content_sha256":"7952387269db834f1d1eabf924268424ee54654c903586f8129cc1c5c2cbbcbc","schema_version":"1.0","event_id":"sha256:7952387269db834f1d1eabf924268424ee54654c903586f8129cc1c5c2cbbcbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H342PBVOXMTZIE4OYIOQSSIAQO/bundle.json","state_url":"https://pith.science/pith/H342PBVOXMTZIE4OYIOQSSIAQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H342PBVOXMTZIE4OYIOQSSIAQO/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":"2026-05-23T21:07:47Z","links":{"resolver":"https://pith.science/pith/H342PBVOXMTZIE4OYIOQSSIAQO","bundle":"https://pith.science/pith/H342PBVOXMTZIE4OYIOQSSIAQO/bundle.json","state":"https://pith.science/pith/H342PBVOXMTZIE4OYIOQSSIAQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H342PBVOXMTZIE4OYIOQSSIAQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:H342PBVOXMTZIE4OYIOQSSIAQO","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":"f999da5c493dc5c5eb333976a2246b4ce6671357b067c356e61abbe3f25e4785","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-15T22:03:13Z","title_canon_sha256":"44fce9759b769ad0021afac41e86be00aa290f43d3b1637eba872198f57448e8"},"schema_version":"1.0","source":{"id":"1612.05286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05286","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05286v1","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05286","created_at":"2026-05-18T00:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"H342PBVOXMTZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"H342PBVOXMTZIE4O","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"H342PBVO","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:7952387269db834f1d1eabf924268424ee54654c903586f8129cc1c5c2cbbcbc","target":"graph","created_at":"2026-05-18T00:54:52Z","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 present a novel non-linear precoding technique for the transmission of 16 quadrature amplitude modulation (QAM) symbols in a 1-bit massive multi-user (MU) multipleinput- single-output (MISO) downlink system. We deploy low resolution digital-to-analog converters (DACs) at the transmitter for the sake of decreasing the high energy consumption related to the massive MISO system. To mitigate the multi-user interference (MUI) and the distortions due to the low resolution DACs, the minimum bit error ratio (MBER) precoder was introduced in previous work. However, this precoder technique is restric","authors_text":"Donia Ben Amor, Hela Jedda, Josef A. Nossek","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-15T22:03:13Z","title":"16 QAM Communication with 1-Bit Transmitters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05286","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":"sha256:705794032680c85f75ae927736bce6a87093be267540ec80e466ad933b92d713","target":"record","created_at":"2026-05-18T00:54:52Z","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":"f999da5c493dc5c5eb333976a2246b4ce6671357b067c356e61abbe3f25e4785","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-12-15T22:03:13Z","title_canon_sha256":"44fce9759b769ad0021afac41e86be00aa290f43d3b1637eba872198f57448e8"},"schema_version":"1.0","source":{"id":"1612.05286","kind":"arxiv","version":1}},"canonical_sha256":"3ef9a786aebb2794138ec21d09490083af74462f3338f4d9f1042de46d1c5b0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ef9a786aebb2794138ec21d09490083af74462f3338f4d9f1042de46d1c5b0b","first_computed_at":"2026-05-18T00:54:52.130879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:52.130879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cd6SVPig48LmbVfIkxFGjfSIDO628jfd/YZjeIS56BqcVTd5pmf7ngQlE98PazNG6mXessUPJE6RGGVOtw75DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:52.131515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:705794032680c85f75ae927736bce6a87093be267540ec80e466ad933b92d713","sha256:7952387269db834f1d1eabf924268424ee54654c903586f8129cc1c5c2cbbcbc"],"state_sha256":"3d68d671019003f79bfd37d32ed361daaaef77b7a72e5d26801270a334babc38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U6qrw34BGSz4hA7t2hkNiRmPiTIink7D+PDRgqWyWSVLvkNwWCJ1M0OvXRMphT/SW1qobBvg/DNBe6qxmdE/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T21:07:47.216745Z","bundle_sha256":"165afc0a16d129cd4cb3c3fc06839a0a730a4e7ff907a84cc60b62bb7ab55c72"}}