{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:O6A6GGJZPUQ5TFTUY3SV473HP2","short_pith_number":"pith:O6A6GGJZ","canonical_record":{"source":{"id":"1206.6153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T01:29:18Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"3f3d9668e50897871bacdf6b7a6759d500d62918135ccfdb8b8e353bea7c66d1","abstract_canon_sha256":"d5c8fe65e9eebd35375a28ee8a7c37e197757af8bb10ca955f9dddada506bcfd"},"schema_version":"1.0"},"canonical_sha256":"7781e319397d21d99674c6e55e7f677e983c167929f335d65e73a7ac9959664e","source":{"kind":"arxiv","id":"1206.6153","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6153","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6153v1","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6153","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"pith_short_12","alias_value":"O6A6GGJZPUQ5","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O6A6GGJZPUQ5TFTU","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O6A6GGJZ","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:O6A6GGJZPUQ5TFTUY3SV473HP2","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T01:29:18Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"3f3d9668e50897871bacdf6b7a6759d500d62918135ccfdb8b8e353bea7c66d1","abstract_canon_sha256":"d5c8fe65e9eebd35375a28ee8a7c37e197757af8bb10ca955f9dddada506bcfd"},"schema_version":"1.0"},"canonical_sha256":"7781e319397d21d99674c6e55e7f677e983c167929f335d65e73a7ac9959664e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:27.588502Z","signature_b64":"xvq3OotWPq3bC71mbh57ons+Ey3UPIsK2tWpX/wiN2hFF4r3W3FjEc+Iy71HnKdF7WAFMeXHrDdgmIW00nHMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7781e319397d21d99674c6e55e7f677e983c167929f335d65e73a7ac9959664e","last_reissued_at":"2026-05-18T03:52:27.587563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:27.587563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6153","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":"2026-05-18T03:52:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyVOTAyex8lzi7dozk83BgmxQHDgeCXKyJKpPZE7wTdwrzvkzVNmfTaL5s5HIOrymt5JGWKQhWipmLDmTA6RCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:01:08.414149Z"},"content_sha256":"4a60b3e2560ddde7f80dff91b45e1bd8d1c8ccc03af6d02364b12c1f57a45131","schema_version":"1.0","event_id":"sha256:4a60b3e2560ddde7f80dff91b45e1bd8d1c8ccc03af6d02364b12c1f57a45131"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:O6A6GGJZPUQ5TFTUY3SV473HP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"To Sense or Not To Sense","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"Ahmed El Shafie","submitted_at":"2012-06-27T01:29:18Z","abstract_excerpt":"A longer sensing time improves the sensing performance; however, with a fixed frame size, the longer sensing time will reduce the allowable data transmission time of the secondary user (SU). In this paper, we try to address the tradeoff between sensing the primary channel for $\\tau$ seconds of the time slot proceeded by randomly accessing it and randomly accessing primary channel without sensing to avoid wasting $\\tau$ seconds in sensing. The SU senses primary channel to exploit the periods of silence, if the primary user (PU) is declared to be idle the SU randomly accesses the channel with so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6153","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":"2026-05-18T03:52:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hjx5sodxKE65MepvUP4QoKP1u0VVetK2km/upKrq2SfabxdeW3tZgj9/vD7eRLIz1Kc0kreV4G8swzBwcCirDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:01:08.414526Z"},"content_sha256":"e05f90abaffc0b29b11670a23c19b4b92c410093d7ac3b2109415098fc8bb233","schema_version":"1.0","event_id":"sha256:e05f90abaffc0b29b11670a23c19b4b92c410093d7ac3b2109415098fc8bb233"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/bundle.json","state_url":"https://pith.science/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/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":"2026-06-23T17:01:08Z","links":{"resolver":"https://pith.science/pith/O6A6GGJZPUQ5TFTUY3SV473HP2","bundle":"https://pith.science/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/bundle.json","state":"https://pith.science/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6A6GGJZPUQ5TFTUY3SV473HP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O6A6GGJZPUQ5TFTUY3SV473HP2","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":"d5c8fe65e9eebd35375a28ee8a7c37e197757af8bb10ca955f9dddada506bcfd","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T01:29:18Z","title_canon_sha256":"3f3d9668e50897871bacdf6b7a6759d500d62918135ccfdb8b8e353bea7c66d1"},"schema_version":"1.0","source":{"id":"1206.6153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6153","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6153v1","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6153","created_at":"2026-05-18T03:52:27Z"},{"alias_kind":"pith_short_12","alias_value":"O6A6GGJZPUQ5","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O6A6GGJZPUQ5TFTU","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O6A6GGJZ","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:e05f90abaffc0b29b11670a23c19b4b92c410093d7ac3b2109415098fc8bb233","target":"graph","created_at":"2026-05-18T03:52:27Z","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":"A longer sensing time improves the sensing performance; however, with a fixed frame size, the longer sensing time will reduce the allowable data transmission time of the secondary user (SU). In this paper, we try to address the tradeoff between sensing the primary channel for $\\tau$ seconds of the time slot proceeded by randomly accessing it and randomly accessing primary channel without sensing to avoid wasting $\\tau$ seconds in sensing. The SU senses primary channel to exploit the periods of silence, if the primary user (PU) is declared to be idle the SU randomly accesses the channel with so","authors_text":"Ahmed El Shafie","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T01:29:18Z","title":"To Sense or Not To Sense"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6153","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":"sha256:4a60b3e2560ddde7f80dff91b45e1bd8d1c8ccc03af6d02364b12c1f57a45131","target":"record","created_at":"2026-05-18T03:52:27Z","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":"d5c8fe65e9eebd35375a28ee8a7c37e197757af8bb10ca955f9dddada506bcfd","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T01:29:18Z","title_canon_sha256":"3f3d9668e50897871bacdf6b7a6759d500d62918135ccfdb8b8e353bea7c66d1"},"schema_version":"1.0","source":{"id":"1206.6153","kind":"arxiv","version":1}},"canonical_sha256":"7781e319397d21d99674c6e55e7f677e983c167929f335d65e73a7ac9959664e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7781e319397d21d99674c6e55e7f677e983c167929f335d65e73a7ac9959664e","first_computed_at":"2026-05-18T03:52:27.587563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:27.587563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvq3OotWPq3bC71mbh57ons+Ey3UPIsK2tWpX/wiN2hFF4r3W3FjEc+Iy71HnKdF7WAFMeXHrDdgmIW00nHMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:27.588502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a60b3e2560ddde7f80dff91b45e1bd8d1c8ccc03af6d02364b12c1f57a45131","sha256:e05f90abaffc0b29b11670a23c19b4b92c410093d7ac3b2109415098fc8bb233"],"state_sha256":"469a8c0bb128e98e2f6f90a0b8bbeeb858a962f3204ca4c68f438b0976689e05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GyfXQRO5/hQtcerDoYkfFTIei1CBJigxqgOQ3lgwZCn8cTTqlxNJeUoohSqjCRxsd+EsVigcU7hVCuv1jneXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:01:08.416468Z","bundle_sha256":"217a9b7d70c65be82522c62af6a449ff35bfbe67434b355f9a441a39f39100f3"}}