{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3QUZW5X6IML42LOI573H3WJHJX","short_pith_number":"pith:3QUZW5X6","canonical_record":{"source":{"id":"1412.6747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-21T09:17:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e6ec5592a028c6c33be7fa00651e462a3fb90a3841e5d3ff41a27613e5eaf7f7","abstract_canon_sha256":"f01150abdad367da6525a9f4cdd81406a8aff8e36b981bc5f9e6f67c8459866f"},"schema_version":"1.0"},"canonical_sha256":"dc299b76fe4317cd2dc8eff67dd9274ddfb4cc654568af34ef69cec16bdbb55a","source":{"kind":"arxiv","id":"1412.6747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6747","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6747v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6747","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"3QUZW5X6IML4","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3QUZW5X6IML42LOI","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3QUZW5X6","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3QUZW5X6IML42LOI573H3WJHJX","target":"record","payload":{"canonical_record":{"source":{"id":"1412.6747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-21T09:17:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e6ec5592a028c6c33be7fa00651e462a3fb90a3841e5d3ff41a27613e5eaf7f7","abstract_canon_sha256":"f01150abdad367da6525a9f4cdd81406a8aff8e36b981bc5f9e6f67c8459866f"},"schema_version":"1.0"},"canonical_sha256":"dc299b76fe4317cd2dc8eff67dd9274ddfb4cc654568af34ef69cec16bdbb55a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:51.235258Z","signature_b64":"kvr0PnahjMupqKmDF59V5cvXka2sE9pzxK8twyol7lnn5nnB2bvVopC2b/JMaS9PV3Iz4RpF14aeUTYvp6yBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc299b76fe4317cd2dc8eff67dd9274ddfb4cc654568af34ef69cec16bdbb55a","last_reissued_at":"2026-05-18T00:57:51.234609Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:51.234609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.6747","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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ui16WqKehpNf5VxxJBB89leG1ljNk7nPIMTPkD7zYiB42NtHUPttqDn5lkNJl6AHeORakmxbH/dr0UxYrUD6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:13:15.723180Z"},"content_sha256":"b7eba2c360519e408a18f338dd237df3f1c32b5581a3c2c256eb41f7347001c4","schema_version":"1.0","event_id":"sha256:b7eba2c360519e408a18f338dd237df3f1c32b5581a3c2c256eb41f7347001c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3QUZW5X6IML42LOI573H3WJHJX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Uplink Interference Analysis for Massive MIMO Systems with MRC and ZF Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Cong Shen, Ning Liang, Wenyi Zhang","submitted_at":"2014-12-21T09:17:20Z","abstract_excerpt":"This paper considers an uplink cellular system, in which each base station (BS) is equipped with a large number of antennas to serve multiple single-antenna user equipments (UEs) simultaneously. Uplink training with pilot reusing is adopted to acquire the channel state information (CSI) and maximum ratio combining (MRC) or zero forcing (ZF) reception is used for handling multiuser interference. Leveraging stochastic geometry to model the spatial distribution of UEs, we analyze the statistical distributions of the interferences experienced by a typical uplink: intra-cell interference, inter-cel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6747","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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40hAR8CxTDEtcmfJ+JYFgVIcBwNiYhnQAoHInaPqGKIhG7Xdsf6nBOsi6f/yYanRQErcu+76xopIEd2k7N/FCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:13:15.723946Z"},"content_sha256":"a6bb25471a873ea7e8c0bf15caafb54a1f0c76253a0167dff2f59d78de4306c0","schema_version":"1.0","event_id":"sha256:a6bb25471a873ea7e8c0bf15caafb54a1f0c76253a0167dff2f59d78de4306c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3QUZW5X6IML42LOI573H3WJHJX/bundle.json","state_url":"https://pith.science/pith/3QUZW5X6IML42LOI573H3WJHJX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3QUZW5X6IML42LOI573H3WJHJX/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":"2026-05-29T18:13:15Z","links":{"resolver":"https://pith.science/pith/3QUZW5X6IML42LOI573H3WJHJX","bundle":"https://pith.science/pith/3QUZW5X6IML42LOI573H3WJHJX/bundle.json","state":"https://pith.science/pith/3QUZW5X6IML42LOI573H3WJHJX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3QUZW5X6IML42LOI573H3WJHJX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3QUZW5X6IML42LOI573H3WJHJX","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":"f01150abdad367da6525a9f4cdd81406a8aff8e36b981bc5f9e6f67c8459866f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-21T09:17:20Z","title_canon_sha256":"e6ec5592a028c6c33be7fa00651e462a3fb90a3841e5d3ff41a27613e5eaf7f7"},"schema_version":"1.0","source":{"id":"1412.6747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6747","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6747v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6747","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"3QUZW5X6IML4","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3QUZW5X6IML42LOI","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3QUZW5X6","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:a6bb25471a873ea7e8c0bf15caafb54a1f0c76253a0167dff2f59d78de4306c0","target":"graph","created_at":"2026-05-18T00:57:51Z","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":"This paper considers an uplink cellular system, in which each base station (BS) is equipped with a large number of antennas to serve multiple single-antenna user equipments (UEs) simultaneously. Uplink training with pilot reusing is adopted to acquire the channel state information (CSI) and maximum ratio combining (MRC) or zero forcing (ZF) reception is used for handling multiuser interference. Leveraging stochastic geometry to model the spatial distribution of UEs, we analyze the statistical distributions of the interferences experienced by a typical uplink: intra-cell interference, inter-cel","authors_text":"Cong Shen, Ning Liang, Wenyi Zhang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-21T09:17:20Z","title":"An Uplink Interference Analysis for Massive MIMO Systems with MRC and ZF Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6747","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:b7eba2c360519e408a18f338dd237df3f1c32b5581a3c2c256eb41f7347001c4","target":"record","created_at":"2026-05-18T00:57:51Z","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":"f01150abdad367da6525a9f4cdd81406a8aff8e36b981bc5f9e6f67c8459866f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-21T09:17:20Z","title_canon_sha256":"e6ec5592a028c6c33be7fa00651e462a3fb90a3841e5d3ff41a27613e5eaf7f7"},"schema_version":"1.0","source":{"id":"1412.6747","kind":"arxiv","version":1}},"canonical_sha256":"dc299b76fe4317cd2dc8eff67dd9274ddfb4cc654568af34ef69cec16bdbb55a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc299b76fe4317cd2dc8eff67dd9274ddfb4cc654568af34ef69cec16bdbb55a","first_computed_at":"2026-05-18T00:57:51.234609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:51.234609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvr0PnahjMupqKmDF59V5cvXka2sE9pzxK8twyol7lnn5nnB2bvVopC2b/JMaS9PV3Iz4RpF14aeUTYvp6yBDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:51.235258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7eba2c360519e408a18f338dd237df3f1c32b5581a3c2c256eb41f7347001c4","sha256:a6bb25471a873ea7e8c0bf15caafb54a1f0c76253a0167dff2f59d78de4306c0"],"state_sha256":"0eb5f9add49af358296893d28c59454770c22c5e29cab16a33518e88cd91255b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qgw+sJpwgydx57BEkZtqOwj+OrT0yKWlu3apcs112zwJ+TZ2dJHxzJ6I3ITVFQlk10s63lRzowHnV9ds+2ofDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T18:13:15.727906Z","bundle_sha256":"63807aa00e3b7f6fd0bbd5d76a28ce2e8a97e0bccf850dc4f4174b6d68ddc0cf"}}