{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RORZGDAHTFT5W7GBUGGURKUL3X","short_pith_number":"pith:RORZGDAH","canonical_record":{"source":{"id":"1509.07594","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-25T06:20:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9fb551eab714b978b43733842d32de83bbcae533351bc094c0e5c3ea0e83f234","abstract_canon_sha256":"9c2838c9ae9e17f65b29637d48f8c7042668c9d3188a25cf18511707d3f3d4ae"},"schema_version":"1.0"},"canonical_sha256":"8ba3930c079967db7cc1a18d48aa8bddcedd4b5292a27e14b850bc5ec1c47d53","source":{"kind":"arxiv","id":"1509.07594","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07594","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07594v2","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07594","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"RORZGDAHTFT5","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RORZGDAHTFT5W7GB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RORZGDAH","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RORZGDAHTFT5W7GBUGGURKUL3X","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07594","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-25T06:20:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9fb551eab714b978b43733842d32de83bbcae533351bc094c0e5c3ea0e83f234","abstract_canon_sha256":"9c2838c9ae9e17f65b29637d48f8c7042668c9d3188a25cf18511707d3f3d4ae"},"schema_version":"1.0"},"canonical_sha256":"8ba3930c079967db7cc1a18d48aa8bddcedd4b5292a27e14b850bc5ec1c47d53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:11.382843Z","signature_b64":"84pSpg3Ckl1ou6PFEs7tQtuGSPLpnZ+s2VVtsZ4NSdfpJsL2tmY0oUbY+vhyc7XTG3ktvOZiUL42/DBRef0CAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ba3930c079967db7cc1a18d48aa8bddcedd4b5292a27e14b850bc5ec1c47d53","last_reissued_at":"2026-05-18T01:21:11.382278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:11.382278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07594","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fr4YoTYmg4wSKUVhR+u8cCuCWY304zwc1Jjq12+RQH1nPPv5mEEiOiy/nph2o344FevSeOwII6SZJgBRp5qVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:29:33.545539Z"},"content_sha256":"f13273470bf08bd40b73cf182a5e225c09824f747846d5cf1b3b242b08475b0e","schema_version":"1.0","event_id":"sha256:f13273470bf08bd40b73cf182a5e225c09824f747846d5cf1b3b242b08475b0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RORZGDAHTFT5W7GBUGGURKUL3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"User Association and Interference Management in Massive MIMO HetNets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Constantine Caramanis, Haralabos C. Papadopoulos, Jeffrey G. Andrews, Ozgun Y. Bursalioglu, Qiaoyang Ye","submitted_at":"2015-09-25T06:20:05Z","abstract_excerpt":"Two key traits of 5G cellular networks are much higher base station (BS) densities - especially in the case of low-power BSs - and the use of massive MIMO at these BSs. This paper explores how massive MIMO can be used to jointly maximize the offloading gains and minimize the interference challenges arising from adding small cells. We consider two interference management approaches: joint transmission (JT) with local precoding, where users are served simultaneously by multiple BSs without requiring channel state information exchanges among cooperating BSs, and resource blanking, where some macr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07594","kind":"arxiv","version":2},"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":"2026-05-18T01:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrouNHp+rF6JC55CQJL9hSDF3sLXT5MxmIEk8kO2I9EytF8f4kpHh8JU+GYD8/BEWAgVLJUilwMRoizx2eEXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:29:33.546186Z"},"content_sha256":"f9e5ce55641aa26a75a3ebb3702cfa4eabd99c8f41a77aed325a99da2ca04052","schema_version":"1.0","event_id":"sha256:f9e5ce55641aa26a75a3ebb3702cfa4eabd99c8f41a77aed325a99da2ca04052"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RORZGDAHTFT5W7GBUGGURKUL3X/bundle.json","state_url":"https://pith.science/pith/RORZGDAHTFT5W7GBUGGURKUL3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RORZGDAHTFT5W7GBUGGURKUL3X/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":"2026-05-26T15:29:33Z","links":{"resolver":"https://pith.science/pith/RORZGDAHTFT5W7GBUGGURKUL3X","bundle":"https://pith.science/pith/RORZGDAHTFT5W7GBUGGURKUL3X/bundle.json","state":"https://pith.science/pith/RORZGDAHTFT5W7GBUGGURKUL3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RORZGDAHTFT5W7GBUGGURKUL3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RORZGDAHTFT5W7GBUGGURKUL3X","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":"9c2838c9ae9e17f65b29637d48f8c7042668c9d3188a25cf18511707d3f3d4ae","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-25T06:20:05Z","title_canon_sha256":"9fb551eab714b978b43733842d32de83bbcae533351bc094c0e5c3ea0e83f234"},"schema_version":"1.0","source":{"id":"1509.07594","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07594","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07594v2","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07594","created_at":"2026-05-18T01:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"RORZGDAHTFT5","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RORZGDAHTFT5W7GB","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RORZGDAH","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:f9e5ce55641aa26a75a3ebb3702cfa4eabd99c8f41a77aed325a99da2ca04052","target":"graph","created_at":"2026-05-18T01:21:11Z","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":"Two key traits of 5G cellular networks are much higher base station (BS) densities - especially in the case of low-power BSs - and the use of massive MIMO at these BSs. This paper explores how massive MIMO can be used to jointly maximize the offloading gains and minimize the interference challenges arising from adding small cells. We consider two interference management approaches: joint transmission (JT) with local precoding, where users are served simultaneously by multiple BSs without requiring channel state information exchanges among cooperating BSs, and resource blanking, where some macr","authors_text":"Constantine Caramanis, Haralabos C. Papadopoulos, Jeffrey G. Andrews, Ozgun Y. Bursalioglu, Qiaoyang Ye","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-25T06:20:05Z","title":"User Association and Interference Management in Massive MIMO HetNets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07594","kind":"arxiv","version":2},"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:f13273470bf08bd40b73cf182a5e225c09824f747846d5cf1b3b242b08475b0e","target":"record","created_at":"2026-05-18T01:21:11Z","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":"9c2838c9ae9e17f65b29637d48f8c7042668c9d3188a25cf18511707d3f3d4ae","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-25T06:20:05Z","title_canon_sha256":"9fb551eab714b978b43733842d32de83bbcae533351bc094c0e5c3ea0e83f234"},"schema_version":"1.0","source":{"id":"1509.07594","kind":"arxiv","version":2}},"canonical_sha256":"8ba3930c079967db7cc1a18d48aa8bddcedd4b5292a27e14b850bc5ec1c47d53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ba3930c079967db7cc1a18d48aa8bddcedd4b5292a27e14b850bc5ec1c47d53","first_computed_at":"2026-05-18T01:21:11.382278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:11.382278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"84pSpg3Ckl1ou6PFEs7tQtuGSPLpnZ+s2VVtsZ4NSdfpJsL2tmY0oUbY+vhyc7XTG3ktvOZiUL42/DBRef0CAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:11.382843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07594","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f13273470bf08bd40b73cf182a5e225c09824f747846d5cf1b3b242b08475b0e","sha256:f9e5ce55641aa26a75a3ebb3702cfa4eabd99c8f41a77aed325a99da2ca04052"],"state_sha256":"18dc08061ae3dd229e163c642e9ae1c31345c362e1816b8e27576dfa533735d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Do3wRj3xPP10lo3TzaCi3CVu4LlcqXmk6Cn1TrAAVkW/1t5iCY/Uy7jV6CgZTm/5gFVT8PQyUcOgZWQpxALCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:29:33.549356Z","bundle_sha256":"65f941df23ea192de2c0085641691ec39d5aa4040e63cdfacb7b88f1a7168aef"}}