{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:B63GPT3FEDEFJ4CXMCCLM4SRCM","short_pith_number":"pith:B63GPT3F","canonical_record":{"source":{"id":"0710.1383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-10-06T17:59:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4502f443054ab580cacb852309c3bdd9ca68918f9e418a939867e3906b5413e5","abstract_canon_sha256":"c637b117814d235c1ff7e861d3def73ddf31874fcfe611bf723960adcd0400df"},"schema_version":"1.0"},"canonical_sha256":"0fb667cf6520c854f0576084b672511330809beba0652cc4023b5fac0af7676f","source":{"kind":"arxiv","id":"0710.1383","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1383","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1383v2","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1383","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"B63GPT3FEDEF","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"B63GPT3FEDEFJ4CX","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"B63GPT3F","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:B63GPT3FEDEFJ4CXMCCLM4SRCM","target":"record","payload":{"canonical_record":{"source":{"id":"0710.1383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-10-06T17:59:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4502f443054ab580cacb852309c3bdd9ca68918f9e418a939867e3906b5413e5","abstract_canon_sha256":"c637b117814d235c1ff7e861d3def73ddf31874fcfe611bf723960adcd0400df"},"schema_version":"1.0"},"canonical_sha256":"0fb667cf6520c854f0576084b672511330809beba0652cc4023b5fac0af7676f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:12.030914Z","signature_b64":"y8gmN7OkTP/xnkCaD9XECVDwCoZQQfBuwPGeB7xj0+lWxV28ihwX85CzLoGleVBysF3HDdWzro0kwhIp6OuvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fb667cf6520c854f0576084b672511330809beba0652cc4023b5fac0af7676f","last_reissued_at":"2026-05-18T00:59:12.030255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:12.030255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.1383","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":"2026-05-18T00:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pq4qAf2Vyi5CKGXRKIIlQCzrC6w2swe8HCzmz4MraXccXc7vTNUV4Is2gAeeFs1OsoHehHo10Hob+f1equH/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:25:19.761062Z"},"content_sha256":"9d7dbfcab9c1e779f589a7b95d15d21f091e996d0abddcf61e631b86dbbfc672","schema_version":"1.0","event_id":"sha256:9d7dbfcab9c1e779f589a7b95d15d21f091e996d0abddcf61e631b86dbbfc672"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:B63GPT3FEDEFJ4CXMCCLM4SRCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Log-concavity property of the error probability with application to local bounds for wireless communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Andrea Conti, Dmitry Panchenko, Sergiy Sidenko, Velio Tralli","submitted_at":"2007-10-06T17:59:32Z","abstract_excerpt":"A clear understanding the behavior of the error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems.We propose an analytical framework based on the log-concavity property of the EP which we prove for a wide family of multidimensional modulation formats in the presence of Gaussian disturbances and fading. Based on this property, we construct a class of local bounds for the EP that improve known generic bounds in a given region of the SNR and are invertible, as well as easily t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1383","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":"2026-05-18T00:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1zpgutaYi/rJunm3SUNtdXLBVBXBz9XcLhZn/NhC8VobFkvpWh9CboraplqHa3CZB9pRwiVug2in4Q76QcRrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:25:19.761424Z"},"content_sha256":"b5dfd695e8f2d560f93c0ca83b2e9e2ef0f0dd7d53ba100d3f4e54f9179e6f8b","schema_version":"1.0","event_id":"sha256:b5dfd695e8f2d560f93c0ca83b2e9e2ef0f0dd7d53ba100d3f4e54f9179e6f8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/bundle.json","state_url":"https://pith.science/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/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":"2026-06-04T20:25:19Z","links":{"resolver":"https://pith.science/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM","bundle":"https://pith.science/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/bundle.json","state":"https://pith.science/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B63GPT3FEDEFJ4CXMCCLM4SRCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:B63GPT3FEDEFJ4CXMCCLM4SRCM","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":"c637b117814d235c1ff7e861d3def73ddf31874fcfe611bf723960adcd0400df","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-10-06T17:59:32Z","title_canon_sha256":"4502f443054ab580cacb852309c3bdd9ca68918f9e418a939867e3906b5413e5"},"schema_version":"1.0","source":{"id":"0710.1383","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1383","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1383v2","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1383","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"B63GPT3FEDEF","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"B63GPT3FEDEFJ4CX","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"B63GPT3F","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:b5dfd695e8f2d560f93c0ca83b2e9e2ef0f0dd7d53ba100d3f4e54f9179e6f8b","target":"graph","created_at":"2026-05-18T00:59:12Z","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 clear understanding the behavior of the error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems.We propose an analytical framework based on the log-concavity property of the EP which we prove for a wide family of multidimensional modulation formats in the presence of Gaussian disturbances and fading. Based on this property, we construct a class of local bounds for the EP that improve known generic bounds in a given region of the SNR and are invertible, as well as easily t","authors_text":"Andrea Conti, Dmitry Panchenko, Sergiy Sidenko, Velio Tralli","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-10-06T17:59:32Z","title":"Log-concavity property of the error probability with application to local bounds for wireless communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1383","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":"sha256:9d7dbfcab9c1e779f589a7b95d15d21f091e996d0abddcf61e631b86dbbfc672","target":"record","created_at":"2026-05-18T00:59:12Z","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":"c637b117814d235c1ff7e861d3def73ddf31874fcfe611bf723960adcd0400df","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-10-06T17:59:32Z","title_canon_sha256":"4502f443054ab580cacb852309c3bdd9ca68918f9e418a939867e3906b5413e5"},"schema_version":"1.0","source":{"id":"0710.1383","kind":"arxiv","version":2}},"canonical_sha256":"0fb667cf6520c854f0576084b672511330809beba0652cc4023b5fac0af7676f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fb667cf6520c854f0576084b672511330809beba0652cc4023b5fac0af7676f","first_computed_at":"2026-05-18T00:59:12.030255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:12.030255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y8gmN7OkTP/xnkCaD9XECVDwCoZQQfBuwPGeB7xj0+lWxV28ihwX85CzLoGleVBysF3HDdWzro0kwhIp6OuvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:12.030914Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.1383","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d7dbfcab9c1e779f589a7b95d15d21f091e996d0abddcf61e631b86dbbfc672","sha256:b5dfd695e8f2d560f93c0ca83b2e9e2ef0f0dd7d53ba100d3f4e54f9179e6f8b"],"state_sha256":"aa4d4c6809739138f65f8104b48d72674769d576fcdb6e0a93a21a07ee50da9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vafL3IMU9dAqPzjkwLwH086E4tuB/8sEv2t53zVJLVO+j4kilQcrUCmOo2NDiZq+ZuCBQnLiXK5/mi5pGIc2Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:25:19.763423Z","bundle_sha256":"25dbf8978d44c736ce4e8da2dd74f087de3aab91eb789c6e36ccd8980a70dd4e"}}