{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FXDIW4AD4LRFAVJPRUL3KRPWRL","short_pith_number":"pith:FXDIW4AD","canonical_record":{"source":{"id":"1009.6200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-30T17:20:09Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4c9ce9585da0cded4f6750313a5ef5ba2e7678073eee43dc4f9b05abd789afc2","abstract_canon_sha256":"0d31e8398b61322d33b7c840716abd70a0117e685b93f3d63f83ed81071c901e"},"schema_version":"1.0"},"canonical_sha256":"2dc68b7003e2e250552f8d17b545f68ae01173939d6afd3449478eeab6edbd97","source":{"kind":"arxiv","id":"1009.6200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.6200","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"arxiv_version","alias_value":"1009.6200v1","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.6200","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"pith_short_12","alias_value":"FXDIW4AD4LRF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FXDIW4AD4LRFAVJP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FXDIW4AD","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FXDIW4AD4LRFAVJPRUL3KRPWRL","target":"record","payload":{"canonical_record":{"source":{"id":"1009.6200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-30T17:20:09Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4c9ce9585da0cded4f6750313a5ef5ba2e7678073eee43dc4f9b05abd789afc2","abstract_canon_sha256":"0d31e8398b61322d33b7c840716abd70a0117e685b93f3d63f83ed81071c901e"},"schema_version":"1.0"},"canonical_sha256":"2dc68b7003e2e250552f8d17b545f68ae01173939d6afd3449478eeab6edbd97","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:00.915320Z","signature_b64":"Whx2wwdiHj0A6l5GFsU4fUTxxfRpOQVenYl0fHFenJQCYt1/qovErXSuOBGQPtmYu/PxbXp6N62JmQLDqpzZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dc68b7003e2e250552f8d17b545f68ae01173939d6afd3449478eeab6edbd97","last_reissued_at":"2026-05-18T04:40:00.914930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:00.914930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.6200","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"13DIDEcoAj0vCJ7uqFZDHZHmbmWl67p4w1dNe9YvgsXRQUtEe1SKr6ab7Nt+VRzKYeaB+wznFMF6w0HTYEFLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:55:52.368957Z"},"content_sha256":"2eec813c177ece5449bda318bf17b104fdd81a5cda27e2ef05f192519d1ff4fa","schema_version":"1.0","event_id":"sha256:2eec813c177ece5449bda318bf17b104fdd81a5cda27e2ef05f192519d1ff4fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FXDIW4AD4LRFAVJPRUL3KRPWRL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Power Allocation for Secrecy Fading Channels Under Spectrum-Sharing Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Junwei Zhang, Mustafa Cenk Gursoy","submitted_at":"2010-09-30T17:20:09Z","abstract_excerpt":"In the spectrum-sharing technology, a secondary user may utilize the primary user's licensed band as long as its interference to the primary user is below a tolerable value. In this paper, we consider a scenario in which a secondary user is operating in the presence of both a primary user and an eavesdropper. Hence, the secondary user has both interference limitations and security considerations. In such a scenario, we study the secrecy capacity limits of opportunistic spectrum-sharing channels in fading environments and investigate the optimal power allocation for the secondary user under ave"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.6200","kind":"arxiv","version":1},"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":"2026-05-18T04:40:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tAWeNs7CK3pxrydqenRb3/EXKizRPUJwM5gaD+EtGnFXnMVf+CLn7hVXjLbu0+dpHiFi0fEOFkFNHxgVfUTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:55:52.369291Z"},"content_sha256":"73592facb6cf700b77d5b5d2dd8e456f915088a79d9ec7fb482b61680017031a","schema_version":"1.0","event_id":"sha256:73592facb6cf700b77d5b5d2dd8e456f915088a79d9ec7fb482b61680017031a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/bundle.json","state_url":"https://pith.science/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/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":"2026-06-02T07:55:52Z","links":{"resolver":"https://pith.science/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL","bundle":"https://pith.science/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/bundle.json","state":"https://pith.science/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXDIW4AD4LRFAVJPRUL3KRPWRL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FXDIW4AD4LRFAVJPRUL3KRPWRL","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":"0d31e8398b61322d33b7c840716abd70a0117e685b93f3d63f83ed81071c901e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-30T17:20:09Z","title_canon_sha256":"4c9ce9585da0cded4f6750313a5ef5ba2e7678073eee43dc4f9b05abd789afc2"},"schema_version":"1.0","source":{"id":"1009.6200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.6200","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"arxiv_version","alias_value":"1009.6200v1","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.6200","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"pith_short_12","alias_value":"FXDIW4AD4LRF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FXDIW4AD4LRFAVJP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FXDIW4AD","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:73592facb6cf700b77d5b5d2dd8e456f915088a79d9ec7fb482b61680017031a","target":"graph","created_at":"2026-05-18T04:40:00Z","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 the spectrum-sharing technology, a secondary user may utilize the primary user's licensed band as long as its interference to the primary user is below a tolerable value. In this paper, we consider a scenario in which a secondary user is operating in the presence of both a primary user and an eavesdropper. Hence, the secondary user has both interference limitations and security considerations. In such a scenario, we study the secrecy capacity limits of opportunistic spectrum-sharing channels in fading environments and investigate the optimal power allocation for the secondary user under ave","authors_text":"Junwei Zhang, Mustafa Cenk Gursoy","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-30T17:20:09Z","title":"Optimal Power Allocation for Secrecy Fading Channels Under Spectrum-Sharing Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.6200","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":"sha256:2eec813c177ece5449bda318bf17b104fdd81a5cda27e2ef05f192519d1ff4fa","target":"record","created_at":"2026-05-18T04:40:00Z","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":"0d31e8398b61322d33b7c840716abd70a0117e685b93f3d63f83ed81071c901e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-09-30T17:20:09Z","title_canon_sha256":"4c9ce9585da0cded4f6750313a5ef5ba2e7678073eee43dc4f9b05abd789afc2"},"schema_version":"1.0","source":{"id":"1009.6200","kind":"arxiv","version":1}},"canonical_sha256":"2dc68b7003e2e250552f8d17b545f68ae01173939d6afd3449478eeab6edbd97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dc68b7003e2e250552f8d17b545f68ae01173939d6afd3449478eeab6edbd97","first_computed_at":"2026-05-18T04:40:00.914930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:00.914930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Whx2wwdiHj0A6l5GFsU4fUTxxfRpOQVenYl0fHFenJQCYt1/qovErXSuOBGQPtmYu/PxbXp6N62JmQLDqpzZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:00.915320Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.6200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eec813c177ece5449bda318bf17b104fdd81a5cda27e2ef05f192519d1ff4fa","sha256:73592facb6cf700b77d5b5d2dd8e456f915088a79d9ec7fb482b61680017031a"],"state_sha256":"01c015bc3b075c97bcdde1bad3c5c785683e552b5f25792c36ce914c96e522f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nn8qHAYgfK6zU/aSDRjr7iaPFcMdGwKLA8OAWEaokQmj30ALtNMMR9oTGr9GAofgvpVNubstFku6dvTuWK9aAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T07:55:52.371117Z","bundle_sha256":"56edd07b8eed37f2f92adbeb3363b1fa904909ce25957211b19ad67a7b594f4f"}}