{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:S7C3T5AZVQD2OAJYF2IS6RERWA","short_pith_number":"pith:S7C3T5AZ","canonical_record":{"source":{"id":"1108.2905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-14T21:10:29Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"226b914c15a68e258a89b28438467b08ad97aa4718c0df29984f4c03b569b78a","abstract_canon_sha256":"dd6c9067d3ffe8ed64c63ef3b38dd0936770bb99357efb7b5fb20a53b8c5d8e1"},"schema_version":"1.0"},"canonical_sha256":"97c5b9f419ac07a701382e912f4491b022966d7943879364492fded02e3146ab","source":{"kind":"arxiv","id":"1108.2905","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2905","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2905v1","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2905","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"S7C3T5AZVQD2","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7C3T5AZVQD2OAJY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7C3T5AZ","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:S7C3T5AZVQD2OAJYF2IS6RERWA","target":"record","payload":{"canonical_record":{"source":{"id":"1108.2905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-14T21:10:29Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"226b914c15a68e258a89b28438467b08ad97aa4718c0df29984f4c03b569b78a","abstract_canon_sha256":"dd6c9067d3ffe8ed64c63ef3b38dd0936770bb99357efb7b5fb20a53b8c5d8e1"},"schema_version":"1.0"},"canonical_sha256":"97c5b9f419ac07a701382e912f4491b022966d7943879364492fded02e3146ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:28.978364Z","signature_b64":"0SVYF2xuXKmRBWd2qjie9js7x2dST9epD+4iozcba7ZtMPjjLP/HSMyxvgOBhKRe5i0rsIpLgWI51uNVzIIzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97c5b9f419ac07a701382e912f4491b022966d7943879364492fded02e3146ab","last_reissued_at":"2026-05-18T04:15:28.977924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:28.977924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.2905","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":"2026-05-18T04:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6m5RmEf0Y1ropKO46Evqdn+lvTfIaMpvn+Ug2P8iDEK7s72ZFXChV5I9jjPrGPir+EXxNQvOD+hPTuFVeFQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:40:02.048278Z"},"content_sha256":"7f4f062c8e21c1650746be38667a6054909f286c2be966f7fb50cf767f3b2dd8","schema_version":"1.0","event_id":"sha256:7f4f062c8e21c1650746be38667a6054909f286c2be966f7fb50cf767f3b2dd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:S7C3T5AZVQD2OAJYF2IS6RERWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"User Scheduling for Heterogeneous Multiuser MIMO Systems: A Subspace Viewpoint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Edward Au, Xinping Yi","submitted_at":"2011-08-14T21:10:29Z","abstract_excerpt":"In downlink multiuser multiple-input multiple-output (MU-MIMO) systems, users are practically heterogeneous in nature. However, most of the existing user scheduling algorithms are designed with an implicit assumption that the users are homogeneous. In this paper, we revisit the problem by exploring the characteristics of heterogeneous users from a subspace point of view. With an objective of minimizing interference non-orthogonality among users, three new angular-based user scheduling criteria that can be applied in various user scheduling algorithms are proposed. While the first criterion is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2905","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":"2026-05-18T04:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAOMzqT09GQovfYz1GdHLYc2q82PKE8Afi0GYlccvjhUoY4vhevUmHpPIjEJk9Z/fuvIXWHpDUyEe4Gh8ZXVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:40:02.049102Z"},"content_sha256":"37f08d340956aa1089dd22e06c5194e26ae9a58513aceab356a55c8638cc10b6","schema_version":"1.0","event_id":"sha256:37f08d340956aa1089dd22e06c5194e26ae9a58513aceab356a55c8638cc10b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/bundle.json","state_url":"https://pith.science/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/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":"2026-08-03T20:40:02Z","links":{"resolver":"https://pith.science/pith/S7C3T5AZVQD2OAJYF2IS6RERWA","bundle":"https://pith.science/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/bundle.json","state":"https://pith.science/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S7C3T5AZVQD2OAJYF2IS6RERWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:S7C3T5AZVQD2OAJYF2IS6RERWA","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":"dd6c9067d3ffe8ed64c63ef3b38dd0936770bb99357efb7b5fb20a53b8c5d8e1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-14T21:10:29Z","title_canon_sha256":"226b914c15a68e258a89b28438467b08ad97aa4718c0df29984f4c03b569b78a"},"schema_version":"1.0","source":{"id":"1108.2905","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2905","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2905v1","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2905","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"S7C3T5AZVQD2","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7C3T5AZVQD2OAJY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7C3T5AZ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:37f08d340956aa1089dd22e06c5194e26ae9a58513aceab356a55c8638cc10b6","target":"graph","created_at":"2026-05-18T04:15:28Z","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 downlink multiuser multiple-input multiple-output (MU-MIMO) systems, users are practically heterogeneous in nature. However, most of the existing user scheduling algorithms are designed with an implicit assumption that the users are homogeneous. In this paper, we revisit the problem by exploring the characteristics of heterogeneous users from a subspace point of view. With an objective of minimizing interference non-orthogonality among users, three new angular-based user scheduling criteria that can be applied in various user scheduling algorithms are proposed. While the first criterion is ","authors_text":"Edward Au, Xinping Yi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-14T21:10:29Z","title":"User Scheduling for Heterogeneous Multiuser MIMO Systems: A Subspace Viewpoint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2905","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":"sha256:7f4f062c8e21c1650746be38667a6054909f286c2be966f7fb50cf767f3b2dd8","target":"record","created_at":"2026-05-18T04:15:28Z","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":"dd6c9067d3ffe8ed64c63ef3b38dd0936770bb99357efb7b5fb20a53b8c5d8e1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-14T21:10:29Z","title_canon_sha256":"226b914c15a68e258a89b28438467b08ad97aa4718c0df29984f4c03b569b78a"},"schema_version":"1.0","source":{"id":"1108.2905","kind":"arxiv","version":1}},"canonical_sha256":"97c5b9f419ac07a701382e912f4491b022966d7943879364492fded02e3146ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c5b9f419ac07a701382e912f4491b022966d7943879364492fded02e3146ab","first_computed_at":"2026-05-18T04:15:28.977924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:28.977924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0SVYF2xuXKmRBWd2qjie9js7x2dST9epD+4iozcba7ZtMPjjLP/HSMyxvgOBhKRe5i0rsIpLgWI51uNVzIIzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:28.978364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2905","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f4f062c8e21c1650746be38667a6054909f286c2be966f7fb50cf767f3b2dd8","sha256:37f08d340956aa1089dd22e06c5194e26ae9a58513aceab356a55c8638cc10b6"],"state_sha256":"c43d840d6880f61531b7394a246cbebd300e2c8681b071be1bbdbc0d9229b276"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g1oslhh9mlekxHj/oAKPTlzL4SjSInSQS6gdze8IQ81A9ZPQyKFQSLJo0TVO1dtiUthZtWMyg3MKHSRDpfR5Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T20:40:02.054012Z","bundle_sha256":"d0967802e74b9e2edca83824108d4dc1b9635cbfa608c57c6de81bc1b6341f85"}}