{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UWJD5KNYE22MRTWQ4PSKF3N7SA","short_pith_number":"pith:UWJD5KNY","canonical_record":{"source":{"id":"1311.6388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-25T18:11:39Z","cross_cats_sorted":[],"title_canon_sha256":"9849c3f61e23c07553d661feeccfcad604af8658256fc32a0397295ea744dcf6","abstract_canon_sha256":"0ad2c04598d5f0cadd9499b5aff37dfea9502344752b85b1513ca1ad27ec5496"},"schema_version":"1.0"},"canonical_sha256":"a5923ea9b826b4c8ced0e3e4a2edbf90230ec4bae2a9d761f78ec74b25dbd9c9","source":{"kind":"arxiv","id":"1311.6388","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6388","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6388v2","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6388","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"UWJD5KNYE22M","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UWJD5KNYE22MRTWQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UWJD5KNY","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UWJD5KNYE22MRTWQ4PSKF3N7SA","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-25T18:11:39Z","cross_cats_sorted":[],"title_canon_sha256":"9849c3f61e23c07553d661feeccfcad604af8658256fc32a0397295ea744dcf6","abstract_canon_sha256":"0ad2c04598d5f0cadd9499b5aff37dfea9502344752b85b1513ca1ad27ec5496"},"schema_version":"1.0"},"canonical_sha256":"a5923ea9b826b4c8ced0e3e4a2edbf90230ec4bae2a9d761f78ec74b25dbd9c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:43.864938Z","signature_b64":"vbRsgh5l4dz1iTJu09KaFADGzZHGWPCjZfm4E0+CpshSNKi6/TVxfKnN4HQ8gPStqTeLoJdaQrQDraB6zJAvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5923ea9b826b4c8ced0e3e4a2edbf90230ec4bae2a9d761f78ec74b25dbd9c9","last_reissued_at":"2026-05-18T03:03:43.864204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:43.864204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6388","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":"2026-05-18T03:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Ua4x8eBJP1M96vZxSYjLG90sXbQ73hB/pLfto10LGY5p4oAj+nt8GY79fwxX74tovDttZuud6CBkAOLywf1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:34:50.263293Z"},"content_sha256":"31984123724478986b9fc3c3d6c9336d6be9ff613bf70207d79c49dec6b63db2","schema_version":"1.0","event_id":"sha256:31984123724478986b9fc3c3d6c9336d6be9ff613bf70207d79c49dec6b63db2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UWJD5KNYE22MRTWQ4PSKF3N7SA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Max-Min SNR Signal Energy based Spectrum Sensing Algorithms for Cognitive Radio Networks with Noise Variance Uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Luc Vandendorpe, Tadilo Endeshaw Bogale","submitted_at":"2013-11-25T18:11:39Z","abstract_excerpt":"This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the proposed algorithm is explained as follows: First, by introducing a combiner vector, an over-sampled signal of total duration equal to the symbol period is combined linearly. Second, for this combined signal, the Signal-to-Noise ratio (SNR) maximization and minimization problems are formulated as Rayleigh quotient optimization problems. Third, by using the so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6388","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":"2026-05-18T03:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sdhkA4KjhOkYZqDhHoh+fGeEQO6fuWT1jLj/rWpL+9UkfIDa7xVOM2pRwX5UQBxSH/cY2+e2qaocCi+cHmhjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:34:50.263842Z"},"content_sha256":"94f8e91f8a9e42a0f5a364e89b6cd8a9f77a23dd6a798bb0020270947dae5274","schema_version":"1.0","event_id":"sha256:94f8e91f8a9e42a0f5a364e89b6cd8a9f77a23dd6a798bb0020270947dae5274"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/bundle.json","state_url":"https://pith.science/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/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":"2026-06-03T00:34:50Z","links":{"resolver":"https://pith.science/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA","bundle":"https://pith.science/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/bundle.json","state":"https://pith.science/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UWJD5KNYE22MRTWQ4PSKF3N7SA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UWJD5KNYE22MRTWQ4PSKF3N7SA","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":"0ad2c04598d5f0cadd9499b5aff37dfea9502344752b85b1513ca1ad27ec5496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-25T18:11:39Z","title_canon_sha256":"9849c3f61e23c07553d661feeccfcad604af8658256fc32a0397295ea744dcf6"},"schema_version":"1.0","source":{"id":"1311.6388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6388","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6388v2","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6388","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"UWJD5KNYE22M","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UWJD5KNYE22MRTWQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UWJD5KNY","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:94f8e91f8a9e42a0f5a364e89b6cd8a9f77a23dd6a798bb0020270947dae5274","target":"graph","created_at":"2026-05-18T03:03:43Z","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 proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the proposed algorithm is explained as follows: First, by introducing a combiner vector, an over-sampled signal of total duration equal to the symbol period is combined linearly. Second, for this combined signal, the Signal-to-Noise ratio (SNR) maximization and minimization problems are formulated as Rayleigh quotient optimization problems. Third, by using the so","authors_text":"Luc Vandendorpe, Tadilo Endeshaw Bogale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-25T18:11:39Z","title":"Max-Min SNR Signal Energy based Spectrum Sensing Algorithms for Cognitive Radio Networks with Noise Variance Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6388","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":"sha256:31984123724478986b9fc3c3d6c9336d6be9ff613bf70207d79c49dec6b63db2","target":"record","created_at":"2026-05-18T03:03:43Z","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":"0ad2c04598d5f0cadd9499b5aff37dfea9502344752b85b1513ca1ad27ec5496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-25T18:11:39Z","title_canon_sha256":"9849c3f61e23c07553d661feeccfcad604af8658256fc32a0397295ea744dcf6"},"schema_version":"1.0","source":{"id":"1311.6388","kind":"arxiv","version":2}},"canonical_sha256":"a5923ea9b826b4c8ced0e3e4a2edbf90230ec4bae2a9d761f78ec74b25dbd9c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5923ea9b826b4c8ced0e3e4a2edbf90230ec4bae2a9d761f78ec74b25dbd9c9","first_computed_at":"2026-05-18T03:03:43.864204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:43.864204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vbRsgh5l4dz1iTJu09KaFADGzZHGWPCjZfm4E0+CpshSNKi6/TVxfKnN4HQ8gPStqTeLoJdaQrQDraB6zJAvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:43.864938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31984123724478986b9fc3c3d6c9336d6be9ff613bf70207d79c49dec6b63db2","sha256:94f8e91f8a9e42a0f5a364e89b6cd8a9f77a23dd6a798bb0020270947dae5274"],"state_sha256":"6cfe7f92955a2f222fa7cac08c50c2c9d808a6f4494763e11626e2693870f048"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QzmEUqmWz2rPxNG/DGyLky3ibXXj5kJQCsjveHbSgVBVHyZIzo9eCNaE7RpYwjq3h8UxYJ0s0y+Y+mAk1nFxBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:34:50.266159Z","bundle_sha256":"c0549050ab3b6ca9ddc0ea6f695d781b73f334a9b2c208673585ce94f34d36a7"}}