{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VLWWZC7J4SOJSU7RF5IR3B6U64","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":"8b6650b115f54d2966bc1794708de6b0ac49269ba42c3c7f71a13bf7000e6b05","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-25T07:44:08Z","title_canon_sha256":"3b1157079a144bcb022ca39be296774702d073689d5f6f72ef2b3d95175aa7fa"},"schema_version":"1.0","source":{"id":"1304.6822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6822","created_at":"2026-05-18T03:27:11Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6822v1","created_at":"2026-05-18T03:27:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6822","created_at":"2026-05-18T03:27:11Z"},{"alias_kind":"pith_short_12","alias_value":"VLWWZC7J4SOJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VLWWZC7J4SOJSU7R","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VLWWZC7J","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:5d6a9a7e4429d4a51ae60ec7a5e18bdf74b0199996df0356fe6dec8b7ac51643","target":"graph","created_at":"2026-05-18T03:27:11Z","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":"Opportunistic spectrum access (OSA) is a key technique enabling the secondary users (SUs) in a cognitive radio (CR) network to transmit over the \"spectrum holes\" unoccupied by the primary users (PUs). In this paper, we focus on the OSA design in the presence of reactive PUs, where PU's access probability in a given channel is related to SU's past access decisions. We model the channel occupancy of the reactive PU as a 4-state discrete-time Markov chain. We formulate the optimal OSA design for SU throughput maximization as a constrained finite-horizon partially observable Markov decision proces","authors_text":"Rui Zhang, Yi Gong, Yue Ling Che","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-25T07:44:08Z","title":"On Design of Opportunistic Spectrum Access in the Presence of Reactive Primary Users"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6822","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":"sha256:314955fef501041f9f3423dbbb84d44a8c362ca401376cd34a13d950ed3f3913","target":"record","created_at":"2026-05-18T03:27:11Z","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":"8b6650b115f54d2966bc1794708de6b0ac49269ba42c3c7f71a13bf7000e6b05","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-25T07:44:08Z","title_canon_sha256":"3b1157079a144bcb022ca39be296774702d073689d5f6f72ef2b3d95175aa7fa"},"schema_version":"1.0","source":{"id":"1304.6822","kind":"arxiv","version":1}},"canonical_sha256":"aaed6c8be9e49c9953f12f511d87d4f710ee81bbe9f2542462dc572217c2cf47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaed6c8be9e49c9953f12f511d87d4f710ee81bbe9f2542462dc572217c2cf47","first_computed_at":"2026-05-18T03:27:11.019728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:11.019728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36v0Bt8+AinYTkeqgaGuuuTXtT9m53yBWN4nfuImQUP1KkBleiACZ9WdhLWK3APO+f9k/q9NvHSE2AtrHyf7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:11.020345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:314955fef501041f9f3423dbbb84d44a8c362ca401376cd34a13d950ed3f3913","sha256:5d6a9a7e4429d4a51ae60ec7a5e18bdf74b0199996df0356fe6dec8b7ac51643"],"state_sha256":"67e9becd2b07b6e67a7adc53b7d14f8711c16184c44a1fab17862d719ee9ee1d"}