{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LOX2UTFNUSDNCNVHBS7CBNHQ3A","short_pith_number":"pith:LOX2UTFN","canonical_record":{"source":{"id":"1804.06614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-04-18T09:18:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d26fa43c44dfd4d5f4dea13feb96a275e57ae745502140c3dccce67a6bbbb160","abstract_canon_sha256":"831f2d9b62f89fd7145c79d4406a9d25407300a5447473ebd3a36cd85da68581"},"schema_version":"1.0"},"canonical_sha256":"5bafaa4cada486d136a70cbe20b4f0d836bbbe3ac1294fc99a22ca22e138d295","source":{"kind":"arxiv","id":"1804.06614","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06614","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06614v1","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06614","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"LOX2UTFNUSDN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOX2UTFNUSDNCNVH","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOX2UTFN","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LOX2UTFNUSDNCNVHBS7CBNHQ3A","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-04-18T09:18:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d26fa43c44dfd4d5f4dea13feb96a275e57ae745502140c3dccce67a6bbbb160","abstract_canon_sha256":"831f2d9b62f89fd7145c79d4406a9d25407300a5447473ebd3a36cd85da68581"},"schema_version":"1.0"},"canonical_sha256":"5bafaa4cada486d136a70cbe20b4f0d836bbbe3ac1294fc99a22ca22e138d295","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:06.219456Z","signature_b64":"78I2pm8NoaDk6bgMUUF6NGUWSQG7JT5Dptr4v+/27yYGQA5W+1PcvKAVr/YFh21pk4HOKYfvzxZm3MIFRpupDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bafaa4cada486d136a70cbe20b4f0d836bbbe3ac1294fc99a22ca22e138d295","last_reissued_at":"2026-05-18T00:18:06.218859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:06.218859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06614","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":"2026-05-18T00:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Y7HhBh3BylY63thDMx2tY7Oa1VXGkHsYhczecr/J6tPw61jTBRzq9jDthHmm856G1S/xHLBr5H4Xt9Zj00PDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:38:24.041995Z"},"content_sha256":"711c4ec42b1d894a8b15b72bf4f894bfdfee6c188780121aedc14db06f119c0c","schema_version":"1.0","event_id":"sha256:711c4ec42b1d894a8b15b72bf4f894bfdfee6c188780121aedc14db06f119c0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LOX2UTFNUSDNCNVHBS7CBNHQ3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geographical Scheduling for Multicast Precoding in Multi-Beam Satellite Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alessandro Guidotti, Alessandro Vanelli-Coralli","submitted_at":"2018-04-18T09:18:44Z","abstract_excerpt":"Current State-of-the-Art High Throughput Satellite systems provide wide-area connectivity through multi-beam architectures. Due to the tremendous system throughput requirements that next generation Satellite Communications (SatCom) expect to achieve, traditional 4-colour frequency reuse schemes are not sufficient anymore and more aggressive solutions as full frequency reuse are being considered for multi-beam SatCom. These approaches require advanced interference management techniques to cope with the significantly increased inter-beam interference both at the transmitter, e.g., precoding, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06614","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":"2026-05-18T00:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkOMy1Z4dzC7kKChgtyPheNnO7LIL4uCdKAJUFgmNbKL0pKQ3EMhH1iIlYg4LCh2DAqB+rz5j5E9x2gXYjl+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:38:24.042354Z"},"content_sha256":"3e05057080637f0f598cf924af813c9ad764a376f34db33cfebd84750451df3f","schema_version":"1.0","event_id":"sha256:3e05057080637f0f598cf924af813c9ad764a376f34db33cfebd84750451df3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/bundle.json","state_url":"https://pith.science/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/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":"2026-06-28T11:38:24Z","links":{"resolver":"https://pith.science/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A","bundle":"https://pith.science/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/bundle.json","state":"https://pith.science/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOX2UTFNUSDNCNVHBS7CBNHQ3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LOX2UTFNUSDNCNVHBS7CBNHQ3A","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":"831f2d9b62f89fd7145c79d4406a9d25407300a5447473ebd3a36cd85da68581","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-04-18T09:18:44Z","title_canon_sha256":"d26fa43c44dfd4d5f4dea13feb96a275e57ae745502140c3dccce67a6bbbb160"},"schema_version":"1.0","source":{"id":"1804.06614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06614","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06614v1","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06614","created_at":"2026-05-18T00:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"LOX2UTFNUSDN","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOX2UTFNUSDNCNVH","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOX2UTFN","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:3e05057080637f0f598cf924af813c9ad764a376f34db33cfebd84750451df3f","target":"graph","created_at":"2026-05-18T00:18:06Z","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":"Current State-of-the-Art High Throughput Satellite systems provide wide-area connectivity through multi-beam architectures. Due to the tremendous system throughput requirements that next generation Satellite Communications (SatCom) expect to achieve, traditional 4-colour frequency reuse schemes are not sufficient anymore and more aggressive solutions as full frequency reuse are being considered for multi-beam SatCom. These approaches require advanced interference management techniques to cope with the significantly increased inter-beam interference both at the transmitter, e.g., precoding, and","authors_text":"Alessandro Guidotti, Alessandro Vanelli-Coralli","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-04-18T09:18:44Z","title":"Geographical Scheduling for Multicast Precoding in Multi-Beam Satellite Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06614","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":"sha256:711c4ec42b1d894a8b15b72bf4f894bfdfee6c188780121aedc14db06f119c0c","target":"record","created_at":"2026-05-18T00:18:06Z","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":"831f2d9b62f89fd7145c79d4406a9d25407300a5447473ebd3a36cd85da68581","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-04-18T09:18:44Z","title_canon_sha256":"d26fa43c44dfd4d5f4dea13feb96a275e57ae745502140c3dccce67a6bbbb160"},"schema_version":"1.0","source":{"id":"1804.06614","kind":"arxiv","version":1}},"canonical_sha256":"5bafaa4cada486d136a70cbe20b4f0d836bbbe3ac1294fc99a22ca22e138d295","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bafaa4cada486d136a70cbe20b4f0d836bbbe3ac1294fc99a22ca22e138d295","first_computed_at":"2026-05-18T00:18:06.218859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:06.218859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"78I2pm8NoaDk6bgMUUF6NGUWSQG7JT5Dptr4v+/27yYGQA5W+1PcvKAVr/YFh21pk4HOKYfvzxZm3MIFRpupDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:06.219456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:711c4ec42b1d894a8b15b72bf4f894bfdfee6c188780121aedc14db06f119c0c","sha256:3e05057080637f0f598cf924af813c9ad764a376f34db33cfebd84750451df3f"],"state_sha256":"e752b01e2e5c727419f0755705b39970529f54d9690d72f2514e1a8cfac55eed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dn1lQYLjnQIGJ/pGCCwteYNBp8AeDl+GAAggdvktGxgx1zT3nJFs9h1HWwstvhUDmfYUBJHv/V35eM5hHUxMDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T11:38:24.044306Z","bundle_sha256":"79b8d65eb706a57742080b8844dcc0bdfe7c352c1361db94b93db17fa84bbf03"}}