{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZQW66SXFQYCZQOCTCYOJOXRJVY","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":"dc2db5ea272b33bca050b623eab2d158a6d460612f0cd12a9876e4a60a41210e","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T13:11:27Z","title_canon_sha256":"ffce12f496a424be11d8f27c426d0af7364fd2312d723f0ae4437ffdb495534f"},"schema_version":"1.0","source":{"id":"1401.3174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3174","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3174v1","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3174","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZQW66SXFQYCZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZQW66SXFQYCZQOCT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZQW66SXF","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:5940b280e185bc64eae2837ba83bd3efebf9dfd52d7774a396d6a3e3817118ce","target":"graph","created_at":"2026-05-18T03:02:19Z","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 a recent paper [1], the authors investigated the maximum stable throughput region of a network composed of a rechargeable primary user and a secondary user plugged to a reliable power supply. The authors studied the cases of an infinite and a finite energy queue at the primary transmitter. However, the results of the finite case are incorrect. We show that under the proposed energy queue model (a decoupled ${\\rm M/D/1}$ queueing system with Bernoulli arrivals and the consumption of one energy packet per time slot), the energy queue capacity does not affect the stability region of the networ","authors_text":"Ahmed El Shafie, Ahmed Sultan","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T13:11:27Z","title":"Comments on \"Optimal Utilization of a Cognitive Shared Channel with a Rechargeable Primary Source Node\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3174","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":"sha256:255c79be812f25c222c56b18471f119fc75ff52040ec2809bbe76efb2a16e0c0","target":"record","created_at":"2026-05-18T03:02:19Z","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":"dc2db5ea272b33bca050b623eab2d158a6d460612f0cd12a9876e4a60a41210e","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T13:11:27Z","title_canon_sha256":"ffce12f496a424be11d8f27c426d0af7364fd2312d723f0ae4437ffdb495534f"},"schema_version":"1.0","source":{"id":"1401.3174","kind":"arxiv","version":1}},"canonical_sha256":"cc2def4ae58605983853161c975e29ae2920d2d573915a398a45c07733900f6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc2def4ae58605983853161c975e29ae2920d2d573915a398a45c07733900f6e","first_computed_at":"2026-05-18T03:02:19.420351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:19.420351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7V7lzH4pbwiO1uC78E189hHguPafFF1p0tPBXXQ+BuD+6MPsd1ZyXi0ltRt6l8NCAf3o+QQYonuhF2sMJblLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:19.421113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:255c79be812f25c222c56b18471f119fc75ff52040ec2809bbe76efb2a16e0c0","sha256:5940b280e185bc64eae2837ba83bd3efebf9dfd52d7774a396d6a3e3817118ce"],"state_sha256":"03a382beba4a2d9e44bc3847e3a038a62c12c5de682f9921ebbe0e9655989390"}