{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XPGFL5GE3N2GKCIHKXE4CR7BJD","short_pith_number":"pith:XPGFL5GE","canonical_record":{"source":{"id":"1012.0384","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-02T11:33:10Z","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"title_canon_sha256":"34101c02ab7ff20bc70e56e4f1b2822d4ed291482a3c2104bd744cd96af1f7af","abstract_canon_sha256":"7bccc0b16f62156fe49432f663eb2f2a32d830d6d6c83bdd187be4e5df9741cc"},"schema_version":"1.0"},"canonical_sha256":"bbcc55f4c4db7465090755c9c147e148c9f412fb1037f22e3d3e7b77fc031974","source":{"kind":"arxiv","id":"1012.0384","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0384","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0384v2","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0384","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"XPGFL5GE3N2G","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XPGFL5GE3N2GKCIH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XPGFL5GE","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XPGFL5GE3N2GKCIHKXE4CR7BJD","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0384","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-02T11:33:10Z","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"title_canon_sha256":"34101c02ab7ff20bc70e56e4f1b2822d4ed291482a3c2104bd744cd96af1f7af","abstract_canon_sha256":"7bccc0b16f62156fe49432f663eb2f2a32d830d6d6c83bdd187be4e5df9741cc"},"schema_version":"1.0"},"canonical_sha256":"bbcc55f4c4db7465090755c9c147e148c9f412fb1037f22e3d3e7b77fc031974","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:16.900993Z","signature_b64":"tfKCOosXU8RW0DjH5Gx1i1Z7GCOHtspvhs3AMx0SljeGgqDLFIAdduRI/ek3L4FLKI+wEGiK1vL/gYYgHoBdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbcc55f4c4db7465090755c9c147e148c9f412fb1037f22e3d3e7b77fc031974","last_reissued_at":"2026-05-18T02:23:16.900391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:16.900391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0384","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OT1tRGUt5/regXgd2QV6PztW2aHZrvMAPqosVYRb4OPt1UnhFW1iyvEKhPSkDTXFzQdrMaBdS8Ln38V8ZP65Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:36:00.162059Z"},"content_sha256":"b3394b04c570c4677df2b3533d07721ed29bc81339e3600bdad9b1f920adee18","schema_version":"1.0","event_id":"sha256:b3394b04c570c4677df2b3533d07721ed29bc81339e3600bdad9b1f920adee18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XPGFL5GE3N2GKCIHKXE4CR7BJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive Sensing and Transmission Durations for Cognitive Radios","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"primary_cat":"math.OC","authors_text":"Ahmed Sultan, Mohammed Nafie, Wessam Afifi","submitted_at":"2010-12-02T11:33:10Z","abstract_excerpt":"In a cognitive radio setting, secondary users opportunistically access the spectrum allocated to primary users. Finding the optimal sensing and transmission durations for the secondary users becomes crucial in order to maximize the secondary throughput while protecting the primary users from interference and service disruption. In this paper an adaptive sensing and transmission scheme for cognitive radios is proposed. We consider a channel allocated to a primary user which operates in an unslotted manner switching activity at random times. A secondary transmitter adapts its sensing and transmi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0384","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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ujg1+x+Yx022jAxm6M8Nb3sM7tfPfbreycMiljnl8Sq4SmoTwh3R2lgqZnBIr/s0EII07NK03xr4NQLu1pAlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:36:00.162723Z"},"content_sha256":"8f8129d7fbbe1b16556e73c828192dbcc3412e3191df4d7d7e69fedc9a7c9a87","schema_version":"1.0","event_id":"sha256:8f8129d7fbbe1b16556e73c828192dbcc3412e3191df4d7d7e69fedc9a7c9a87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/bundle.json","state_url":"https://pith.science/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/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":"2026-06-06T10:36:00Z","links":{"resolver":"https://pith.science/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD","bundle":"https://pith.science/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/bundle.json","state":"https://pith.science/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPGFL5GE3N2GKCIHKXE4CR7BJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XPGFL5GE3N2GKCIHKXE4CR7BJD","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":"7bccc0b16f62156fe49432f663eb2f2a32d830d6d6c83bdd187be4e5df9741cc","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-02T11:33:10Z","title_canon_sha256":"34101c02ab7ff20bc70e56e4f1b2822d4ed291482a3c2104bd744cd96af1f7af"},"schema_version":"1.0","source":{"id":"1012.0384","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0384","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0384v2","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0384","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"XPGFL5GE3N2G","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XPGFL5GE3N2GKCIH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XPGFL5GE","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:8f8129d7fbbe1b16556e73c828192dbcc3412e3191df4d7d7e69fedc9a7c9a87","target":"graph","created_at":"2026-05-18T02:23:16Z","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 cognitive radio setting, secondary users opportunistically access the spectrum allocated to primary users. Finding the optimal sensing and transmission durations for the secondary users becomes crucial in order to maximize the secondary throughput while protecting the primary users from interference and service disruption. In this paper an adaptive sensing and transmission scheme for cognitive radios is proposed. We consider a channel allocated to a primary user which operates in an unslotted manner switching activity at random times. A secondary transmitter adapts its sensing and transmi","authors_text":"Ahmed Sultan, Mohammed Nafie, Wessam Afifi","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-02T11:33:10Z","title":"Adaptive Sensing and Transmission Durations for Cognitive Radios"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0384","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:b3394b04c570c4677df2b3533d07721ed29bc81339e3600bdad9b1f920adee18","target":"record","created_at":"2026-05-18T02:23:16Z","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":"7bccc0b16f62156fe49432f663eb2f2a32d830d6d6c83bdd187be4e5df9741cc","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-12-02T11:33:10Z","title_canon_sha256":"34101c02ab7ff20bc70e56e4f1b2822d4ed291482a3c2104bd744cd96af1f7af"},"schema_version":"1.0","source":{"id":"1012.0384","kind":"arxiv","version":2}},"canonical_sha256":"bbcc55f4c4db7465090755c9c147e148c9f412fb1037f22e3d3e7b77fc031974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbcc55f4c4db7465090755c9c147e148c9f412fb1037f22e3d3e7b77fc031974","first_computed_at":"2026-05-18T02:23:16.900391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:16.900391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tfKCOosXU8RW0DjH5Gx1i1Z7GCOHtspvhs3AMx0SljeGgqDLFIAdduRI/ek3L4FLKI+wEGiK1vL/gYYgHoBdCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:16.900993Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0384","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3394b04c570c4677df2b3533d07721ed29bc81339e3600bdad9b1f920adee18","sha256:8f8129d7fbbe1b16556e73c828192dbcc3412e3191df4d7d7e69fedc9a7c9a87"],"state_sha256":"be37d25dbb1cd39608add885fadb8b8fa77e2e633a8aeb1028ab29b9190630f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnD9c1wX/KRuS5kTVKwr0zgTffWhx4dAy4dtEEZhjx6aWgOyS7S/hksFS1dduBNDsSZiC1idvzAIjYpMsO9GDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T10:36:00.166241Z","bundle_sha256":"cb98ed241d2de2591bb456b43399db60d27ac995c0b8797b21d9ed87e85c3dca"}}