{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JIEF77NTLPFNID6HVW5UXD5GPB","short_pith_number":"pith:JIEF77NT","canonical_record":{"source":{"id":"1705.03325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-09T13:36:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4d5ef3f71a7798eef4c7f5e13d38caf3a69c215f8d103e384972cd37df8d492b","abstract_canon_sha256":"5b47691573170a7df5165d07c102ae1b162f2dd378d54cbff43bbc502a834943"},"schema_version":"1.0"},"canonical_sha256":"4a085ffdb35bcad40fc7adbb4b8fa6784bdaca50173d7b093aca0c8c81a019e0","source":{"kind":"arxiv","id":"1705.03325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03325","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03325v1","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03325","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"JIEF77NTLPFN","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JIEF77NTLPFNID6H","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JIEF77NT","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JIEF77NTLPFNID6HVW5UXD5GPB","target":"record","payload":{"canonical_record":{"source":{"id":"1705.03325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-09T13:36:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4d5ef3f71a7798eef4c7f5e13d38caf3a69c215f8d103e384972cd37df8d492b","abstract_canon_sha256":"5b47691573170a7df5165d07c102ae1b162f2dd378d54cbff43bbc502a834943"},"schema_version":"1.0"},"canonical_sha256":"4a085ffdb35bcad40fc7adbb4b8fa6784bdaca50173d7b093aca0c8c81a019e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:48.266880Z","signature_b64":"kgjPoLykrX3S2JP7o5z7DWCIxX+Q6/Cqfd2rBpPYJCuIpVME7Kg5aeZJmWMgjEe46gqTaZVixbG7PYtrcmFHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a085ffdb35bcad40fc7adbb4b8fa6784bdaca50173d7b093aca0c8c81a019e0","last_reissued_at":"2026-05-18T00:44:48.266211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:48.266211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.03325","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":"2026-05-18T00:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GxM/TP767YSe0nG2DGkNoNm+7AF91rnCqRGa8ePItVCKWhprPzvuMFWRNJutyEr5hjIb8FVGEa0V7iHWN0OFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:36:16.621955Z"},"content_sha256":"24ecba6c0df812d8949bc6477b37c3f9a557f3434f7eeb5f0a4fe91c48e7e34f","schema_version":"1.0","event_id":"sha256:24ecba6c0df812d8949bc6477b37c3f9a557f3434f7eeb5f0a4fe91c48e7e34f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JIEF77NTLPFNID6HVW5UXD5GPB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-orthogonal Multiple Access in Large-Scale Heterogeneous Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Arumugam Nallanathan, Julie A. McCann, Maged Elkashlan, Yuanwei Liu, Zhijin Qin","submitted_at":"2017-05-09T13:36:14Z","abstract_excerpt":"In this paper, the potential benefits of applying non-orthogonal multiple access (NOMA) technique in $K$-tier hybrid heterogeneous networks (HetNets) is explored. A promising new transmission framework is proposed, in which NOMA is adopted in small cells and massive multiple-input multiple-output (MIMO) is employed in macro cells. For maximizing the biased average received power for mobile users, a NOMA and massive MIMO based user association scheme is developed. To evaluate the performance of the proposed framework, we first derive the analytical expressions for the coverage probability of NO"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03325","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":"2026-05-18T00:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P2wJC8sXnhuErHQo63LomD86ibs9AIN7MoXuSxA2uEr7Kc46Bz5LShxLd67GQD1T0lM3B+jq45l6jL4ELon5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:36:16.622366Z"},"content_sha256":"bd670caf2faed92dbeb2a2bf6f719bb32d033f57ec1e9143b3bc8246da24f4f8","schema_version":"1.0","event_id":"sha256:bd670caf2faed92dbeb2a2bf6f719bb32d033f57ec1e9143b3bc8246da24f4f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JIEF77NTLPFNID6HVW5UXD5GPB/bundle.json","state_url":"https://pith.science/pith/JIEF77NTLPFNID6HVW5UXD5GPB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JIEF77NTLPFNID6HVW5UXD5GPB/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":"2026-06-07T10:36:16Z","links":{"resolver":"https://pith.science/pith/JIEF77NTLPFNID6HVW5UXD5GPB","bundle":"https://pith.science/pith/JIEF77NTLPFNID6HVW5UXD5GPB/bundle.json","state":"https://pith.science/pith/JIEF77NTLPFNID6HVW5UXD5GPB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JIEF77NTLPFNID6HVW5UXD5GPB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JIEF77NTLPFNID6HVW5UXD5GPB","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":"5b47691573170a7df5165d07c102ae1b162f2dd378d54cbff43bbc502a834943","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-09T13:36:14Z","title_canon_sha256":"4d5ef3f71a7798eef4c7f5e13d38caf3a69c215f8d103e384972cd37df8d492b"},"schema_version":"1.0","source":{"id":"1705.03325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03325","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03325v1","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03325","created_at":"2026-05-18T00:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"JIEF77NTLPFN","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JIEF77NTLPFNID6H","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JIEF77NT","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:bd670caf2faed92dbeb2a2bf6f719bb32d033f57ec1e9143b3bc8246da24f4f8","target":"graph","created_at":"2026-05-18T00:44:48Z","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 this paper, the potential benefits of applying non-orthogonal multiple access (NOMA) technique in $K$-tier hybrid heterogeneous networks (HetNets) is explored. A promising new transmission framework is proposed, in which NOMA is adopted in small cells and massive multiple-input multiple-output (MIMO) is employed in macro cells. For maximizing the biased average received power for mobile users, a NOMA and massive MIMO based user association scheme is developed. To evaluate the performance of the proposed framework, we first derive the analytical expressions for the coverage probability of NO","authors_text":"Arumugam Nallanathan, Julie A. McCann, Maged Elkashlan, Yuanwei Liu, Zhijin Qin","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-09T13:36:14Z","title":"Non-orthogonal Multiple Access in Large-Scale Heterogeneous Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03325","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":"sha256:24ecba6c0df812d8949bc6477b37c3f9a557f3434f7eeb5f0a4fe91c48e7e34f","target":"record","created_at":"2026-05-18T00:44:48Z","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":"5b47691573170a7df5165d07c102ae1b162f2dd378d54cbff43bbc502a834943","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-09T13:36:14Z","title_canon_sha256":"4d5ef3f71a7798eef4c7f5e13d38caf3a69c215f8d103e384972cd37df8d492b"},"schema_version":"1.0","source":{"id":"1705.03325","kind":"arxiv","version":1}},"canonical_sha256":"4a085ffdb35bcad40fc7adbb4b8fa6784bdaca50173d7b093aca0c8c81a019e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a085ffdb35bcad40fc7adbb4b8fa6784bdaca50173d7b093aca0c8c81a019e0","first_computed_at":"2026-05-18T00:44:48.266211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:48.266211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kgjPoLykrX3S2JP7o5z7DWCIxX+Q6/Cqfd2rBpPYJCuIpVME7Kg5aeZJmWMgjEe46gqTaZVixbG7PYtrcmFHCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:48.266880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24ecba6c0df812d8949bc6477b37c3f9a557f3434f7eeb5f0a4fe91c48e7e34f","sha256:bd670caf2faed92dbeb2a2bf6f719bb32d033f57ec1e9143b3bc8246da24f4f8"],"state_sha256":"5d826c18100cd772b8d5ac30049098e424daa7c3991eb9de3867d6938132cbaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vq/layLMgiSGL22e4SPbwQbi7AhAcy7u3iRPO3C8v0p2WbYoB01jw8qOVY8nzuRK0lXVH8GE5OPmizixN7IgBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:36:16.624929Z","bundle_sha256":"db309254915cc4bd142cc02692357ace0b5c4f230de7640e446643dbfb6f58a1"}}