{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:H4SBHIUJJAP6QVJ6KK6CWVBTTL","short_pith_number":"pith:H4SBHIUJ","canonical_record":{"source":{"id":"1512.02924","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-09T16:15:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"abca47efe1312ccbe19a54bbde02d2a555dd7c6fd0f62462ba380e978100d182","abstract_canon_sha256":"d4edba35b23463c57bf8b0471edd4935dae618e4a55c7591679e4188c31c3d88"},"schema_version":"1.0"},"canonical_sha256":"3f2413a289481fe8553e52bc2b54339acb613f4c75e89ec8e7d1a40adbb57c8b","source":{"kind":"arxiv","id":"1512.02924","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02924","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02924v2","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02924","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"pith_short_12","alias_value":"H4SBHIUJJAP6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H4SBHIUJJAP6QVJ6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H4SBHIUJ","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:H4SBHIUJJAP6QVJ6KK6CWVBTTL","target":"record","payload":{"canonical_record":{"source":{"id":"1512.02924","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-09T16:15:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"abca47efe1312ccbe19a54bbde02d2a555dd7c6fd0f62462ba380e978100d182","abstract_canon_sha256":"d4edba35b23463c57bf8b0471edd4935dae618e4a55c7591679e4188c31c3d88"},"schema_version":"1.0"},"canonical_sha256":"3f2413a289481fe8553e52bc2b54339acb613f4c75e89ec8e7d1a40adbb57c8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:58.752374Z","signature_b64":"7z24Y6ZtDNAQe/NB2S5MyEsyrKy6W7K5eoGNZ4pGDQD+wlU5PobUcWmoYgSTPAYFFftRPkj/cJlCs+TluDY5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f2413a289481fe8553e52bc2b54339acb613f4c75e89ec8e7d1a40adbb57c8b","last_reissued_at":"2026-05-18T01:20:58.751914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:58.751914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.02924","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u0YdYJbtBSsLZpn8daxG5epy0uW8A986cCMvlveX3fA6BUg2/sDjHNeiTgCkHYjya1UUirQ3vtyE7CLApitaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:59:14.602412Z"},"content_sha256":"f4e30204bf022d67479dda8fc94a95227eb6d3a3e60191feddb739aaf9231413","schema_version":"1.0","event_id":"sha256:f4e30204bf022d67479dda8fc94a95227eb6d3a3e60191feddb739aaf9231413"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:H4SBHIUJJAP6QVJ6KK6CWVBTTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-Efficient Power Allocation in Cognitive Radio Systems with Imperfect Spectrum Sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gozde Ozcan, Jian Tang, M. Cenk Gursoy, Nghi Tran","submitted_at":"2015-12-09T16:15:24Z","abstract_excerpt":"This paper studies energy-efficient power allocation schemes for secondary users in sensing-based spectrum sharing cognitive radio systems. It is assumed that secondary users first perform channel sensing possibly with errors and then initiate data transmission with different power levels based on sensing decisions. The circuit power is taken into account in total power consumption. In this setting, the optimization problem is to maximize energy efficiency (EE) subject to peak/average transmission power constraints and peak/average interference constraints. By exploiting quasiconcave property "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02924","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOwhBbVVqaT3X2cOriZqs/ytko5wjjlDK7vaBlZFi/4NJMV7eX7oKz/EBVN75tsQTtY12T15bXdci+oSl0cvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:59:14.603050Z"},"content_sha256":"0cca6ce819b072cf69491252c318929ae86efcf467480880a69ad7efebc04c64","schema_version":"1.0","event_id":"sha256:0cca6ce819b072cf69491252c318929ae86efcf467480880a69ad7efebc04c64"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/bundle.json","state_url":"https://pith.science/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T20:59:14Z","links":{"resolver":"https://pith.science/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL","bundle":"https://pith.science/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/bundle.json","state":"https://pith.science/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H4SBHIUJJAP6QVJ6KK6CWVBTTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H4SBHIUJJAP6QVJ6KK6CWVBTTL","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":"d4edba35b23463c57bf8b0471edd4935dae618e4a55c7591679e4188c31c3d88","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-09T16:15:24Z","title_canon_sha256":"abca47efe1312ccbe19a54bbde02d2a555dd7c6fd0f62462ba380e978100d182"},"schema_version":"1.0","source":{"id":"1512.02924","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02924","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02924v2","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02924","created_at":"2026-05-18T01:20:58Z"},{"alias_kind":"pith_short_12","alias_value":"H4SBHIUJJAP6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H4SBHIUJJAP6QVJ6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H4SBHIUJ","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:0cca6ce819b072cf69491252c318929ae86efcf467480880a69ad7efebc04c64","target":"graph","created_at":"2026-05-18T01:20:58Z","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":"This paper studies energy-efficient power allocation schemes for secondary users in sensing-based spectrum sharing cognitive radio systems. It is assumed that secondary users first perform channel sensing possibly with errors and then initiate data transmission with different power levels based on sensing decisions. The circuit power is taken into account in total power consumption. In this setting, the optimization problem is to maximize energy efficiency (EE) subject to peak/average transmission power constraints and peak/average interference constraints. By exploiting quasiconcave property ","authors_text":"Gozde Ozcan, Jian Tang, M. Cenk Gursoy, Nghi Tran","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-09T16:15:24Z","title":"Energy-Efficient Power Allocation in Cognitive Radio Systems with Imperfect Spectrum Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02924","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:f4e30204bf022d67479dda8fc94a95227eb6d3a3e60191feddb739aaf9231413","target":"record","created_at":"2026-05-18T01:20:58Z","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":"d4edba35b23463c57bf8b0471edd4935dae618e4a55c7591679e4188c31c3d88","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-09T16:15:24Z","title_canon_sha256":"abca47efe1312ccbe19a54bbde02d2a555dd7c6fd0f62462ba380e978100d182"},"schema_version":"1.0","source":{"id":"1512.02924","kind":"arxiv","version":2}},"canonical_sha256":"3f2413a289481fe8553e52bc2b54339acb613f4c75e89ec8e7d1a40adbb57c8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f2413a289481fe8553e52bc2b54339acb613f4c75e89ec8e7d1a40adbb57c8b","first_computed_at":"2026-05-18T01:20:58.751914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:58.751914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7z24Y6ZtDNAQe/NB2S5MyEsyrKy6W7K5eoGNZ4pGDQD+wlU5PobUcWmoYgSTPAYFFftRPkj/cJlCs+TluDY5Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:58.752374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02924","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4e30204bf022d67479dda8fc94a95227eb6d3a3e60191feddb739aaf9231413","sha256:0cca6ce819b072cf69491252c318929ae86efcf467480880a69ad7efebc04c64"],"state_sha256":"469207fdb011d4b0bc0f4d688a035de0c4004fdc0c254c710fabd314f61e680e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/88Au4hAmDgX8cIF0HXgWk6+R9vrdmZ9Rps7Mrm0lj8x++X3s+bvpjB4yrxNRLmtVhZj2z9YSADuYA6IxeCAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:59:14.606344Z","bundle_sha256":"146dd831dc3a9c3c75b60b6e19f577cd320e757b40bca2db6d5b1a34966dcba0"}}