{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZO3CXBUGYBR7FKDJLFOPJNL7Y5","short_pith_number":"pith:ZO3CXBUG","canonical_record":{"source":{"id":"1811.10489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-26T16:28:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"531b276fb60d560418f19c913a37dfa41f339384168f1165b404d2b98d419699","abstract_canon_sha256":"e344b3dcdc5477cad04c9757778c5abe60fea1272eee06c23b2e0bbfaddfba34"},"schema_version":"1.0"},"canonical_sha256":"cbb62b8686c063f2a869595cf4b57fc75aa5e4bbc085105bf041f8d233dc76ac","source":{"kind":"arxiv","id":"1811.10489","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10489","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10489v1","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10489","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZO3CXBUGYBR7","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZO3CXBUGYBR7FKDJ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZO3CXBUG","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZO3CXBUGYBR7FKDJLFOPJNL7Y5","target":"record","payload":{"canonical_record":{"source":{"id":"1811.10489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-26T16:28:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"531b276fb60d560418f19c913a37dfa41f339384168f1165b404d2b98d419699","abstract_canon_sha256":"e344b3dcdc5477cad04c9757778c5abe60fea1272eee06c23b2e0bbfaddfba34"},"schema_version":"1.0"},"canonical_sha256":"cbb62b8686c063f2a869595cf4b57fc75aa5e4bbc085105bf041f8d233dc76ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:54.567202Z","signature_b64":"QA/nw/hfTE1uqWNBQ5TE+2GqNVjTWGuz+PVUE/6gEwLKgCOk52nCpvmARg/mLbwGKtpeSRE3c9p2uCXc7yz9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbb62b8686c063f2a869595cf4b57fc75aa5e4bbc085105bf041f8d233dc76ac","last_reissued_at":"2026-05-17T23:59:54.566692Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:54.566692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.10489","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":"2026-05-17T23:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NGzbYrWVFNwDGwIYi8bPSFRUYfOtBf85IQBQBpbhVh/n9nrdT+rQKH+SFfJ+RuWMt+IuPTXVhJhjuIDtDgaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:46:49.880024Z"},"content_sha256":"5081e1881a3649956af15a4998212f502a94d328eee656842655b35730f4f26f","schema_version":"1.0","event_id":"sha256:5081e1881a3649956af15a4998212f502a94d328eee656842655b35730f4f26f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZO3CXBUGYBR7FKDJLFOPJNL7Y5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Performance of Backhaul Constrained Cell-Free Massive MIMO with Linear Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alister G. Burr, Dick Maryopi, Erik G. Larsson, Hien Quoc Ngo, Kanapathippillai Cumanan, Manijeh Bashar","submitted_at":"2018-11-26T16:28:27Z","abstract_excerpt":"Limited-backhaul cell-free Massive multiple-input multiple-output (MIMO), in which the fog radio access network (F-RAN) is implemented to exchange the information between access points (APs) and the central processing unit (CPU), is investigated. We introduce a novel approach where the APs estimate the channel and send back the quantized version of the estimated channel and the quantized version of the received signal to the central processing unit. The Max algorithm and the Bussgang theorem are exploited to model the optimum uniform quantization. The ergodic achievable rates are derived. We s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10489","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":"2026-05-17T23:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53Ls2i5zcCS5ELv6h9MHFnmcVBaYrztzLgczyUXh3z3vgtOhDBs3wUZu+Iq7k0Rrcm/Bt9MeY+gyiYNJlw99Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:46:49.886646Z"},"content_sha256":"2d2727b57173e834c7f8037159ab1b97d40087f9966954083afd1a12ffcb8691","schema_version":"1.0","event_id":"sha256:2d2727b57173e834c7f8037159ab1b97d40087f9966954083afd1a12ffcb8691"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/bundle.json","state_url":"https://pith.science/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/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":"2026-05-25T20:46:49Z","links":{"resolver":"https://pith.science/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5","bundle":"https://pith.science/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/bundle.json","state":"https://pith.science/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZO3CXBUGYBR7FKDJLFOPJNL7Y5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZO3CXBUGYBR7FKDJLFOPJNL7Y5","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":"e344b3dcdc5477cad04c9757778c5abe60fea1272eee06c23b2e0bbfaddfba34","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-26T16:28:27Z","title_canon_sha256":"531b276fb60d560418f19c913a37dfa41f339384168f1165b404d2b98d419699"},"schema_version":"1.0","source":{"id":"1811.10489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10489","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10489v1","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10489","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZO3CXBUGYBR7","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZO3CXBUGYBR7FKDJ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZO3CXBUG","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:2d2727b57173e834c7f8037159ab1b97d40087f9966954083afd1a12ffcb8691","target":"graph","created_at":"2026-05-17T23:59:54Z","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":"Limited-backhaul cell-free Massive multiple-input multiple-output (MIMO), in which the fog radio access network (F-RAN) is implemented to exchange the information between access points (APs) and the central processing unit (CPU), is investigated. We introduce a novel approach where the APs estimate the channel and send back the quantized version of the estimated channel and the quantized version of the received signal to the central processing unit. The Max algorithm and the Bussgang theorem are exploited to model the optimum uniform quantization. The ergodic achievable rates are derived. We s","authors_text":"Alister G. Burr, Dick Maryopi, Erik G. Larsson, Hien Quoc Ngo, Kanapathippillai Cumanan, Manijeh Bashar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-26T16:28:27Z","title":"On the Performance of Backhaul Constrained Cell-Free Massive MIMO with Linear Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10489","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":"sha256:5081e1881a3649956af15a4998212f502a94d328eee656842655b35730f4f26f","target":"record","created_at":"2026-05-17T23:59:54Z","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":"e344b3dcdc5477cad04c9757778c5abe60fea1272eee06c23b2e0bbfaddfba34","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-26T16:28:27Z","title_canon_sha256":"531b276fb60d560418f19c913a37dfa41f339384168f1165b404d2b98d419699"},"schema_version":"1.0","source":{"id":"1811.10489","kind":"arxiv","version":1}},"canonical_sha256":"cbb62b8686c063f2a869595cf4b57fc75aa5e4bbc085105bf041f8d233dc76ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbb62b8686c063f2a869595cf4b57fc75aa5e4bbc085105bf041f8d233dc76ac","first_computed_at":"2026-05-17T23:59:54.566692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:54.566692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QA/nw/hfTE1uqWNBQ5TE+2GqNVjTWGuz+PVUE/6gEwLKgCOk52nCpvmARg/mLbwGKtpeSRE3c9p2uCXc7yz9CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:54.567202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.10489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5081e1881a3649956af15a4998212f502a94d328eee656842655b35730f4f26f","sha256:2d2727b57173e834c7f8037159ab1b97d40087f9966954083afd1a12ffcb8691"],"state_sha256":"c0e5ba5019847b2686b7d4dee97d19749b77edca715fc678bb660d5e1e67598e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kd7jhUy8RsRz94xI3TxdL3u96A6hMVsZ6N4fo1ZoeZqycMbz2M6YbmN17dCdcJHvn93ahwsW4NWLeuDqD5knBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:46:49.905124Z","bundle_sha256":"bb9ee10b12aa5ab73fd89746d4ff5ef709e48d60ee4509e55a2c450d4dd04953"}}