{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VD5IM3H6R2ZYF7QQSPPHADAFHS","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":"fbbccd0e02455be714830252c6e75e96ea93ada74afb90a3934ed5eb33809dcd","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-06T10:17:49Z","title_canon_sha256":"c8aabaf999e2c0df8d2817118f1de353451880ce0ae2dfe602e8022dcd102583"},"schema_version":"1.0","source":{"id":"1512.01767","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01767","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01767v2","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01767","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"VD5IM3H6R2ZY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VD5IM3H6R2ZYF7QQ","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VD5IM3H6","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:114ffbd44c6d3d151342b6b7a5f77de5bb22d6c9f67f08d919d484d32ef4bfd8","target":"graph","created_at":"2026-05-18T01:24:39Z","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 cost-effective impact and fundamental limits of infrastructure support with rate-limited wired backhaul links (i.e., GreenInfra support), directly connecting base stations (BSs), are analyzed in a large-scale hybrid network of unit node density, where multi-antenna BSs are deployed. We consider a general scenario such that the rate of each BS-to-BS link scales at an arbitrary rate relative to the number of randomly located wireless nodes, $n$. For the operating regimes with respect to the number of BSs and the number of antennas at each BS, we first analyze the minimum rate of each backhau","authors_text":"Cheol Jeong, Won-Yong Shin","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-06T10:17:49Z","title":"GreenInfra: Capacity of Large-Scale Hybrid Networks With Cost-Effective Infrastructure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01767","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:b55467236dd770a63feb6adb0c9c35e0dd8557b192f7f94e814041552d26e74f","target":"record","created_at":"2026-05-18T01:24:39Z","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":"fbbccd0e02455be714830252c6e75e96ea93ada74afb90a3934ed5eb33809dcd","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-06T10:17:49Z","title_canon_sha256":"c8aabaf999e2c0df8d2817118f1de353451880ce0ae2dfe602e8022dcd102583"},"schema_version":"1.0","source":{"id":"1512.01767","kind":"arxiv","version":2}},"canonical_sha256":"a8fa866cfe8eb382fe1093de700c053c848ceabf25345e0cd5029abecb744bac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8fa866cfe8eb382fe1093de700c053c848ceabf25345e0cd5029abecb744bac","first_computed_at":"2026-05-18T01:24:39.302366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:39.302366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"teL9NpQoxc1fW5WW0XafcmHQ7qxzN1iQhsJ+mkCMphn1+MGwItS1uEULntx9MJkQQP9FWI1im2cxqNKZ+837BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:39.302752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01767","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b55467236dd770a63feb6adb0c9c35e0dd8557b192f7f94e814041552d26e74f","sha256:114ffbd44c6d3d151342b6b7a5f77de5bb22d6c9f67f08d919d484d32ef4bfd8"],"state_sha256":"aed71196885c5a3e51c74ebb36f37cb4102883554626d5b89daafa57b8a273fb"}