{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KPXQX5CO4SIZHMDQ3K7QKJ5ID7","short_pith_number":"pith:KPXQX5CO","canonical_record":{"source":{"id":"1604.04761","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-16T14:42:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"add5357ddff366bc642b3f23056a90e9868344a7c623c120be22604ff1d42ad5","abstract_canon_sha256":"51a977d34fad963958b55de4d0db16c39f5e882d402dc2a3976d14cda6a1344b"},"schema_version":"1.0"},"canonical_sha256":"53ef0bf44ee49193b070dabf0527a81feb4d75257981130ab78f3bac887ca0bb","source":{"kind":"arxiv","id":"1604.04761","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04761","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04761v3","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04761","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"pith_short_12","alias_value":"KPXQX5CO4SIZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KPXQX5CO4SIZHMDQ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KPXQX5CO","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KPXQX5CO4SIZHMDQ3K7QKJ5ID7","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04761","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-16T14:42:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"add5357ddff366bc642b3f23056a90e9868344a7c623c120be22604ff1d42ad5","abstract_canon_sha256":"51a977d34fad963958b55de4d0db16c39f5e882d402dc2a3976d14cda6a1344b"},"schema_version":"1.0"},"canonical_sha256":"53ef0bf44ee49193b070dabf0527a81feb4d75257981130ab78f3bac887ca0bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:25.549042Z","signature_b64":"nieKg/yegRn1RQWbuq9tnE+h+HRTX9I7JCX4oJxuLxlm/R0UcA6IcNDWa38WBm6EufUUKXWLO631iN86JJLHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53ef0bf44ee49193b070dabf0527a81feb4d75257981130ab78f3bac887ca0bb","last_reissued_at":"2026-05-18T00:52:25.548599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:25.548599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04761","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eHFroqI8ng0zgUoyGH3EmVI8L0X/oMU+DZj18/KW8E2A5N4nXVXy+hD7Z1GYBCVtTuYASd1xE7491RyTECUUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:10:12.756343Z"},"content_sha256":"f935ae196988a482d5c5f741987be6c48deb53985f928756ec27ee7826367a46","schema_version":"1.0","event_id":"sha256:f935ae196988a482d5c5f741987be6c48deb53985f928756ec27ee7826367a46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KPXQX5CO4SIZHMDQ3K7QKJ5ID7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Performance of Channel Statistics-Based Codebook for Massive MIMO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Linglong Dai, Wenqian Shen, Yu Zhang, Zhaocheng Wang","submitted_at":"2016-04-16T14:42:02Z","abstract_excerpt":"The channel feedback overhead for massive MIMO systems with a large number of base station (BS) antennas is very high, since the number of feedback bits of traditional codebooks scales linearly with the number of BS antennas. To reduce the feedback overhead, an effective codebook based on channel statistics has been designed, where the required number of feedback bits only scales linearly with the rank of the channel correlation matrix. However, this attractive conclusion was only intuitively explained and then verified through simulation results in the literature, while no rigorous theoretica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04761","kind":"arxiv","version":3},"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":"2026-05-18T00:52:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"taTpPkDX4XGWZx0Jjs7GIOa4JUBkeb4QlhEw/LYSKLuunsfm6JJ2MHSjtP6dGjTgSXbDYbL82rHwd3enzpgpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:10:12.756692Z"},"content_sha256":"236f305fb3e217e393299ca92b2481c5099c00675d6a34d6f81c3204f8fb1b1a","schema_version":"1.0","event_id":"sha256:236f305fb3e217e393299ca92b2481c5099c00675d6a34d6f81c3204f8fb1b1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/bundle.json","state_url":"https://pith.science/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/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":"2026-06-01T07:10:12Z","links":{"resolver":"https://pith.science/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7","bundle":"https://pith.science/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/bundle.json","state":"https://pith.science/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPXQX5CO4SIZHMDQ3K7QKJ5ID7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KPXQX5CO4SIZHMDQ3K7QKJ5ID7","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":"51a977d34fad963958b55de4d0db16c39f5e882d402dc2a3976d14cda6a1344b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-16T14:42:02Z","title_canon_sha256":"add5357ddff366bc642b3f23056a90e9868344a7c623c120be22604ff1d42ad5"},"schema_version":"1.0","source":{"id":"1604.04761","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04761","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04761v3","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04761","created_at":"2026-05-18T00:52:25Z"},{"alias_kind":"pith_short_12","alias_value":"KPXQX5CO4SIZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KPXQX5CO4SIZHMDQ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KPXQX5CO","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:236f305fb3e217e393299ca92b2481c5099c00675d6a34d6f81c3204f8fb1b1a","target":"graph","created_at":"2026-05-18T00:52:25Z","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":"The channel feedback overhead for massive MIMO systems with a large number of base station (BS) antennas is very high, since the number of feedback bits of traditional codebooks scales linearly with the number of BS antennas. To reduce the feedback overhead, an effective codebook based on channel statistics has been designed, where the required number of feedback bits only scales linearly with the rank of the channel correlation matrix. However, this attractive conclusion was only intuitively explained and then verified through simulation results in the literature, while no rigorous theoretica","authors_text":"Linglong Dai, Wenqian Shen, Yu Zhang, Zhaocheng Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-16T14:42:02Z","title":"On the Performance of Channel Statistics-Based Codebook for Massive MIMO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04761","kind":"arxiv","version":3},"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:f935ae196988a482d5c5f741987be6c48deb53985f928756ec27ee7826367a46","target":"record","created_at":"2026-05-18T00:52:25Z","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":"51a977d34fad963958b55de4d0db16c39f5e882d402dc2a3976d14cda6a1344b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-16T14:42:02Z","title_canon_sha256":"add5357ddff366bc642b3f23056a90e9868344a7c623c120be22604ff1d42ad5"},"schema_version":"1.0","source":{"id":"1604.04761","kind":"arxiv","version":3}},"canonical_sha256":"53ef0bf44ee49193b070dabf0527a81feb4d75257981130ab78f3bac887ca0bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53ef0bf44ee49193b070dabf0527a81feb4d75257981130ab78f3bac887ca0bb","first_computed_at":"2026-05-18T00:52:25.548599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:25.548599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nieKg/yegRn1RQWbuq9tnE+h+HRTX9I7JCX4oJxuLxlm/R0UcA6IcNDWa38WBm6EufUUKXWLO631iN86JJLHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:25.549042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04761","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f935ae196988a482d5c5f741987be6c48deb53985f928756ec27ee7826367a46","sha256:236f305fb3e217e393299ca92b2481c5099c00675d6a34d6f81c3204f8fb1b1a"],"state_sha256":"e837835e7529b060c80b2e33364c7aa35fd7c6a0c492827989ca87be3337f9b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HfD+qdIOpOBuYvjpr4iaQ/Sb9XRoXgyP7s4/d2eHEqx24Savc7cR/qoB0JhOnwGYk5jSF3WiCYlb3UEthbDlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:10:12.758716Z","bundle_sha256":"d8d26d90ed8a773496e1e6e0f13720cc57d6d01603060212573d8a111775dcfb"}}