{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PMFCCGAR5Z6Z77F4YGJS2IPDBR","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":"aa5bca9a635b09d40686f3068341f3e0c9685b81578dd33b56d856cbd10dd140","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T07:34:25Z","title_canon_sha256":"bfc6315f0e4db2984fe4be29c41a5ecce576ad9be35dc6bd1b137e2767e5d026"},"schema_version":"1.0","source":{"id":"1908.04036","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04036","created_at":"2026-07-05T00:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04036v2","created_at":"2026-07-05T00:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04036","created_at":"2026-07-05T00:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"PMFCCGAR5Z6Z","created_at":"2026-07-05T00:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"PMFCCGAR5Z6Z77F4","created_at":"2026-07-05T00:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"PMFCCGAR","created_at":"2026-07-05T00:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:ea8fd6c5261497dc3640291912ea3cd3d0f19aadca6e56f1aa3b3183a959d551","target":"graph","created_at":"2026-07-05T00:29:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04036/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work identifies the fundamental limits of cache-aided coded multicasting in the presence of the well-known `worst-user' bottleneck. This stems from the presence of receiving users with uneven channel capacities, which often forces the rate of transmission of each multicasting message to be reduced to that of the slowest user. This bottleneck, which can be detrimental in general wireless broadcast settings, motivates the analysis of coded caching over a standard Single-Input-Single-Output (SISO) Broadcast Channel (BC) with K cache-aided receivers, each with a generally different channel ca","authors_text":"Eleftherios Lampiris, Jingjing Zhang, Osvaldo Simeone, Petros Elia","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T07:34:25Z","title":"Fundamental Limits of Wireless Caching under Uneven-Capacity Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04036","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":"sha256:048de13e5c8d5d16b104de643340144b18e12a4db7ad0e6b36c8f12125612312","target":"record","created_at":"2026-07-05T00:29:39Z","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":"aa5bca9a635b09d40686f3068341f3e0c9685b81578dd33b56d856cbd10dd140","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T07:34:25Z","title_canon_sha256":"bfc6315f0e4db2984fe4be29c41a5ecce576ad9be35dc6bd1b137e2767e5d026"},"schema_version":"1.0","source":{"id":"1908.04036","kind":"arxiv","version":2}},"canonical_sha256":"7b0a211811ee7d9ffcbcc1932d21e30c6cbce64c7ffef2e6ddc1525e3f3423ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b0a211811ee7d9ffcbcc1932d21e30c6cbce64c7ffef2e6ddc1525e3f3423ba","first_computed_at":"2026-07-05T00:29:39.418853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:29:39.418853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FGuMWeEvpOmxnUVR+smzlJn/CIsO+pVuW2IdD5lgQMus1k9aJ0UK7k+fW0WxBTr4sQiJ+oHb0DL8mnB1qz5zAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:29:39.419236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04036","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:048de13e5c8d5d16b104de643340144b18e12a4db7ad0e6b36c8f12125612312","sha256:ea8fd6c5261497dc3640291912ea3cd3d0f19aadca6e56f1aa3b3183a959d551"],"state_sha256":"2dd441f333255726554bdf3ea25aebf613c501bae73aefb8d3ccb43c8bceb8b9"}