{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:LFBGQJAWVKUHA3VELVVPMJ53ZH","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":"231f5209b3330f37dddc3882d92374f9bd9197f4a7976042cce66b11612e748f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-02-21T04:26:44Z","title_canon_sha256":"9878cf6aafb30c5d6c699f58270f5b8f9b8e22dc00d2fd17098bcd2e1b74a687"},"schema_version":"1.0","source":{"id":"0802.2975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2975","created_at":"2026-07-04T15:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2975v1","created_at":"2026-07-04T15:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2975","created_at":"2026-07-04T15:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"LFBGQJAWVKUH","created_at":"2026-07-04T15:09:41Z"},{"alias_kind":"pith_short_16","alias_value":"LFBGQJAWVKUHA3VE","created_at":"2026-07-04T15:09:41Z"},{"alias_kind":"pith_short_8","alias_value":"LFBGQJAW","created_at":"2026-07-04T15:09:41Z"}],"graph_snapshots":[{"event_id":"sha256:5aa6ac7a11fe38f54940c62678e6eda71dc234b1671f9fe8a32ae3b2fbcebe20","target":"graph","created_at":"2026-07-04T15:09:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0802.2975/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the uplink of a cellular communication system with $K$ users per cell and infinite base stations equally spaced on a line. The system is conventional, i.e., it does not make use of joint cell-site processing. A hard fairness (HF) system serves all users with the same rate in any channel state. In contrast, a system based on proportional fairness serves the users with variable instantaneous rates depending on their channel state. We compare these two options in terms of the system spectral efficiency \\textsf{C} (bit/s/Hz) versus $E_b/N_0$. Proportional fair scheduling (PFS) performs","authors_text":"Daeyoung Park, Giuseppe Caire","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-02-21T04:26:44Z","title":"Hard Fairness Versus Proportional Fairness in Wireless Communications: The Multiple-Cell Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2975","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:a4d22e1c84882cf3cac5e57903026ede1ea031b730ed3fee37a3ac2eb06cefae","target":"record","created_at":"2026-07-04T15:09:41Z","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":"231f5209b3330f37dddc3882d92374f9bd9197f4a7976042cce66b11612e748f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-02-21T04:26:44Z","title_canon_sha256":"9878cf6aafb30c5d6c699f58270f5b8f9b8e22dc00d2fd17098bcd2e1b74a687"},"schema_version":"1.0","source":{"id":"0802.2975","kind":"arxiv","version":1}},"canonical_sha256":"5942682416aaa8706ea45d6af627bbc9f6c13e43cea3fd2b797af782f18cb174","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5942682416aaa8706ea45d6af627bbc9f6c13e43cea3fd2b797af782f18cb174","first_computed_at":"2026-07-04T15:09:41.991534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:41.991534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z6HJz9X2h/H2I4/7ytangLvxbS95eBVzrIW2i5CH89bfKlLwMqiks8hFXbSSkwgvrxYo3e0i8Ay9v6oOi4EbBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:41.991907Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.2975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4d22e1c84882cf3cac5e57903026ede1ea031b730ed3fee37a3ac2eb06cefae","sha256:5aa6ac7a11fe38f54940c62678e6eda71dc234b1671f9fe8a32ae3b2fbcebe20"],"state_sha256":"e852db2105b0cd409bfa6b6515f6fb652fb42e80654cbb6bb3ade496cbae2146"}