{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RTNWFAPU6Q5Q3FGJ6APE3VAQMT","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":"e60be064d00435b6ea2b24e18ed98a392e4683d97a805413ce17b383cc2f3b34","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-09-08T19:21:18Z","title_canon_sha256":"73d8e7b98f3b25690544de33c1c044776e3ca7ca1a89cdba332e498671a5ebf8"},"schema_version":"1.0","source":{"id":"1409.2475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2475","created_at":"2026-05-18T02:43:16Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2475v1","created_at":"2026-05-18T02:43:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2475","created_at":"2026-05-18T02:43:16Z"},{"alias_kind":"pith_short_12","alias_value":"RTNWFAPU6Q5Q","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RTNWFAPU6Q5Q3FGJ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RTNWFAPU","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:422e16aad7a22669cae3b08e4dd185da927edf6d7e46f828a225868f3e141c35","target":"graph","created_at":"2026-05-18T02:43:16Z","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 5G cellular wireless systems will have a multi-tier architecture consisting of macrocells, different types of licensed small cells and D2D networks to serve users with different quality-of-service (QoS) requirements in a spectrum efficient manner. Distributed resource allocation and interference management is one of the fundamental research challenges for such multi-tier heterogeneous networks. In this chapter, we consider the radio resource allocation problem in a multi-tier orthogonal frequency division multiple access (OFDMA)-based cellular (e.g., 5G LTE-A) network. In particular, we pr","authors_text":"Ekram Hossain, Monowar Hasan","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-09-08T19:21:18Z","title":"Distributed Resource Allocation in 5G Cellular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2475","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":"sha256:93b441acdc4ce238135a647cee09c9b89b4fdb0c440738d7c3f19278b768f5d4","target":"record","created_at":"2026-05-18T02:43:16Z","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":"e60be064d00435b6ea2b24e18ed98a392e4683d97a805413ce17b383cc2f3b34","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-09-08T19:21:18Z","title_canon_sha256":"73d8e7b98f3b25690544de33c1c044776e3ca7ca1a89cdba332e498671a5ebf8"},"schema_version":"1.0","source":{"id":"1409.2475","kind":"arxiv","version":1}},"canonical_sha256":"8cdb6281f4f43b0d94c9f01e4dd41064d29a155044308645f58b46885a31a3fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cdb6281f4f43b0d94c9f01e4dd41064d29a155044308645f58b46885a31a3fb","first_computed_at":"2026-05-18T02:43:16.905719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:16.905719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EY9vvJC4zbTd/8+A8yAwpWRQBuz97rWsYFN/8AETQnqON4eYE+IdgRxyO8K7CDNMBUqvmMZKXMji8WkERbimAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:16.906374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93b441acdc4ce238135a647cee09c9b89b4fdb0c440738d7c3f19278b768f5d4","sha256:422e16aad7a22669cae3b08e4dd185da927edf6d7e46f828a225868f3e141c35"],"state_sha256":"577cf9f9256e4f31d3c57121e07bb248aaf09a2e9226563fceb7de88f974978a"}