{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZK7DJ7IKBXNL3RCK3RCCERVC2G","short_pith_number":"pith:ZK7DJ7IK","canonical_record":{"source":{"id":"1804.00930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-03T12:35:35Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"588202a47c205298bb4147ca61c405875ffc4ea8b8a9ea9d4fbcf58946872764","abstract_canon_sha256":"0a42a56de3bb5a2cd183672d5300f62d79a2aa3fff1ce7b30b7537f25a4a6db3"},"schema_version":"1.0"},"canonical_sha256":"cabe34fd0a0ddabdc44adc442246a2d1a1e273bb55e61eac8071881296362bc7","source":{"kind":"arxiv","id":"1804.00930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00930","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00930v1","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00930","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZK7DJ7IKBXNL","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZK7DJ7IKBXNL3RCK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZK7DJ7IK","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZK7DJ7IKBXNL3RCK3RCCERVC2G","target":"record","payload":{"canonical_record":{"source":{"id":"1804.00930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-03T12:35:35Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"588202a47c205298bb4147ca61c405875ffc4ea8b8a9ea9d4fbcf58946872764","abstract_canon_sha256":"0a42a56de3bb5a2cd183672d5300f62d79a2aa3fff1ce7b30b7537f25a4a6db3"},"schema_version":"1.0"},"canonical_sha256":"cabe34fd0a0ddabdc44adc442246a2d1a1e273bb55e61eac8071881296362bc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:56.660217Z","signature_b64":"rsgTrcV0bu/68Dn2YCDXpdI/qwYeScTos5VNdu4u93opJJDd0+hXDotS2ooCB/1YfMDhATWAUBKVadgLGZA+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cabe34fd0a0ddabdc44adc442246a2d1a1e273bb55e61eac8071881296362bc7","last_reissued_at":"2026-05-18T00:00:56.659721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:56.659721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.00930","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":"2026-05-18T00:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0memBbDXXHbfV132yLl137bd6ZpHZjKp6oH9i5NYNC3Rv7AkTrCzNL5Jx5/cWt8Bw7kQ5OSl5kd+fQbCoKJ1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:16:18.033459Z"},"content_sha256":"7a1823c87fbe7c66164807c805775241f17f755d50fd9ef9c40ad59ae60894a2","schema_version":"1.0","event_id":"sha256:7a1823c87fbe7c66164807c805775241f17f755d50fd9ef9c40ad59ae60894a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZK7DJ7IKBXNL3RCK3RCCERVC2G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symbol-Level Precoding Design Based on Distance Preserving Constructive Interference Regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"eess.SP","authors_text":"Alireza Haqiqatnejad, Bjorn Ottersten, Farbod Kayhan","submitted_at":"2018-04-03T12:35:35Z","abstract_excerpt":"In this paper, we investigate the symbol-level precoding (SLP) design problem in the downlink of a multiuser multiple-input single-output (MISO) channel. We consider generic constellations with any arbitrary shape and size, and confine ourselves to one of the main categories of constructive interference regions (CIR), namely, distance preserving CIR (DPCIR). We provide a comprehensive study of DPCIRs and derive some properties for these regions. Using these properties, we first show that any signal in a given DPCIR has a norm greater than or equal to the norm of the corresponding constellation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00930","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":"2026-05-18T00:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YCJ3hVce3p2KVfrZruGon9RUe9F9fdv1jdcfmzNG/Wz8S1RgQiMSDALbGdwYM6MTu1CqEUVZDASKlELA/DbAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:16:18.033798Z"},"content_sha256":"bf9ed66f3ad9641f040db18e8c7683c3a3c55eb6d9ec1982fe80a1df7d16c4d9","schema_version":"1.0","event_id":"sha256:bf9ed66f3ad9641f040db18e8c7683c3a3c55eb6d9ec1982fe80a1df7d16c4d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/bundle.json","state_url":"https://pith.science/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/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":"2026-06-03T17:16:18Z","links":{"resolver":"https://pith.science/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G","bundle":"https://pith.science/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/bundle.json","state":"https://pith.science/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZK7DJ7IKBXNL3RCK3RCCERVC2G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZK7DJ7IKBXNL3RCK3RCCERVC2G","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":"0a42a56de3bb5a2cd183672d5300f62d79a2aa3fff1ce7b30b7537f25a4a6db3","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-03T12:35:35Z","title_canon_sha256":"588202a47c205298bb4147ca61c405875ffc4ea8b8a9ea9d4fbcf58946872764"},"schema_version":"1.0","source":{"id":"1804.00930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00930","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00930v1","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00930","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZK7DJ7IKBXNL","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZK7DJ7IKBXNL3RCK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZK7DJ7IK","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:bf9ed66f3ad9641f040db18e8c7683c3a3c55eb6d9ec1982fe80a1df7d16c4d9","target":"graph","created_at":"2026-05-18T00:00:56Z","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":"In this paper, we investigate the symbol-level precoding (SLP) design problem in the downlink of a multiuser multiple-input single-output (MISO) channel. We consider generic constellations with any arbitrary shape and size, and confine ourselves to one of the main categories of constructive interference regions (CIR), namely, distance preserving CIR (DPCIR). We provide a comprehensive study of DPCIRs and derive some properties for these regions. Using these properties, we first show that any signal in a given DPCIR has a norm greater than or equal to the norm of the corresponding constellation","authors_text":"Alireza Haqiqatnejad, Bjorn Ottersten, Farbod Kayhan","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-03T12:35:35Z","title":"Symbol-Level Precoding Design Based on Distance Preserving Constructive Interference Regions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00930","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":"sha256:7a1823c87fbe7c66164807c805775241f17f755d50fd9ef9c40ad59ae60894a2","target":"record","created_at":"2026-05-18T00:00:56Z","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":"0a42a56de3bb5a2cd183672d5300f62d79a2aa3fff1ce7b30b7537f25a4a6db3","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-03T12:35:35Z","title_canon_sha256":"588202a47c205298bb4147ca61c405875ffc4ea8b8a9ea9d4fbcf58946872764"},"schema_version":"1.0","source":{"id":"1804.00930","kind":"arxiv","version":1}},"canonical_sha256":"cabe34fd0a0ddabdc44adc442246a2d1a1e273bb55e61eac8071881296362bc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cabe34fd0a0ddabdc44adc442246a2d1a1e273bb55e61eac8071881296362bc7","first_computed_at":"2026-05-18T00:00:56.659721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:56.659721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rsgTrcV0bu/68Dn2YCDXpdI/qwYeScTos5VNdu4u93opJJDd0+hXDotS2ooCB/1YfMDhATWAUBKVadgLGZA+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:56.660217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.00930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a1823c87fbe7c66164807c805775241f17f755d50fd9ef9c40ad59ae60894a2","sha256:bf9ed66f3ad9641f040db18e8c7683c3a3c55eb6d9ec1982fe80a1df7d16c4d9"],"state_sha256":"f29ceab57480b124afb87c8d1bf09253dc21ea0553e00e49ce4f9bd4bc02b630"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MhaCzNBsSS7eEhKnSTmKGKTc7pcal65A8sqS7xeNow4YlwFou0HU/3iEdvQ08sb3HtwBTmm7nSx0UZaYVZNsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:16:18.035931Z","bundle_sha256":"9f865298ac3539a5584b62d501d9e56dbdd38c4f884327eede3a86324396c574"}}