{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:6LADZ6SD4SM2SXMJCBIVNJ6QMX","short_pith_number":"pith:6LADZ6SD","canonical_record":{"source":{"id":"0909.1344","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-09-07T21:14:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7c387732570a85644e274234495084085f4ad0cfdc552ba4a9f73a5be978484d","abstract_canon_sha256":"2cd0a41eeca5f1204610898e64926e74fb97d4ea2681a0f864fce3f58db00317"},"schema_version":"1.0"},"canonical_sha256":"f2c03cfa43e499a95d89105156a7d065ea501d08b89b820de8f08b01daefe95c","source":{"kind":"arxiv","id":"0909.1344","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1344","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1344v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1344","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"6LADZ6SD4SM2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6LADZ6SD4SM2SXMJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6LADZ6SD","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:6LADZ6SD4SM2SXMJCBIVNJ6QMX","target":"record","payload":{"canonical_record":{"source":{"id":"0909.1344","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-09-07T21:14:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7c387732570a85644e274234495084085f4ad0cfdc552ba4a9f73a5be978484d","abstract_canon_sha256":"2cd0a41eeca5f1204610898e64926e74fb97d4ea2681a0f864fce3f58db00317"},"schema_version":"1.0"},"canonical_sha256":"f2c03cfa43e499a95d89105156a7d065ea501d08b89b820de8f08b01daefe95c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:58.772674Z","signature_b64":"X+6eHTdmRVMgnNCT+Ogrsni/0XaGvjYCUbrohwFYiUabr1TQmGb8RMSbE7KsfJQGUw+apHccRQtOu1RRfPfiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2c03cfa43e499a95d89105156a7d065ea501d08b89b820de8f08b01daefe95c","last_reissued_at":"2026-05-18T02:11:58.771918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:58.771918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.1344","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":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCmUbHsmjCoauK/lGQDNpdltIzHEIIeR5TUEqXzvHq2T9ToTJWAjCrIVrDBA33MoeT46LZeTOdsT7DSjLMqhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:13:24.857779Z"},"content_sha256":"ed6bd77f20481e0648c2f1e0c606559c30914aae8144ba804af4510088cb3863","schema_version":"1.0","event_id":"sha256:ed6bd77f20481e0648c2f1e0c606559c30914aae8144ba804af4510088cb3863"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:6LADZ6SD4SM2SXMJCBIVNJ6QMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiuser MISO Transmitter Optimization for Inter-Cell Interference Mitigation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Giuseppe Caire, Haralabos C. Papadopoulos, Hoon Huh","submitted_at":"2009-09-07T21:14:34Z","abstract_excerpt":"The transmitter optimization (i.e., steering vectors and power allocation) for a MISO Broadcast Channel (MISO-BC) subject to general linear constraints is considered. Such constraints include, as special cases, the sum power, the per-antenna or per-group-of-antennas power, and \"forbidden interference direction\" constraints. We consider both the optimal dirty-paper coding and the simple suboptimal linear zero-forcing beamforming strategies, and provide numerically efficient algorithms that solve the problem in its most general form. As an application, we consider a multi-cell scenario with part"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1344","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":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/EMQj9dO4Az8+TBGBJvOQuTSANOnqeIAy/oNjj2S/xFJtj42lHXH2/XfJjJfPR0wdRPsMWwQdI47K8OzfKLdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:13:24.858117Z"},"content_sha256":"11e41240766e8f66b2b4778918dc90618058d22f60bae6376144d2a11e6b528d","schema_version":"1.0","event_id":"sha256:11e41240766e8f66b2b4778918dc90618058d22f60bae6376144d2a11e6b528d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/bundle.json","state_url":"https://pith.science/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/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":"2026-06-20T05:13:24Z","links":{"resolver":"https://pith.science/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX","bundle":"https://pith.science/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/bundle.json","state":"https://pith.science/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6LADZ6SD4SM2SXMJCBIVNJ6QMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6LADZ6SD4SM2SXMJCBIVNJ6QMX","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":"2cd0a41eeca5f1204610898e64926e74fb97d4ea2681a0f864fce3f58db00317","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-09-07T21:14:34Z","title_canon_sha256":"7c387732570a85644e274234495084085f4ad0cfdc552ba4a9f73a5be978484d"},"schema_version":"1.0","source":{"id":"0909.1344","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1344","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1344v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1344","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"6LADZ6SD4SM2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6LADZ6SD4SM2SXMJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6LADZ6SD","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:11e41240766e8f66b2b4778918dc90618058d22f60bae6376144d2a11e6b528d","target":"graph","created_at":"2026-05-18T02:11:58Z","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":"The transmitter optimization (i.e., steering vectors and power allocation) for a MISO Broadcast Channel (MISO-BC) subject to general linear constraints is considered. Such constraints include, as special cases, the sum power, the per-antenna or per-group-of-antennas power, and \"forbidden interference direction\" constraints. We consider both the optimal dirty-paper coding and the simple suboptimal linear zero-forcing beamforming strategies, and provide numerically efficient algorithms that solve the problem in its most general form. As an application, we consider a multi-cell scenario with part","authors_text":"Giuseppe Caire, Haralabos C. Papadopoulos, Hoon Huh","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-09-07T21:14:34Z","title":"Multiuser MISO Transmitter Optimization for Inter-Cell Interference Mitigation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1344","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:ed6bd77f20481e0648c2f1e0c606559c30914aae8144ba804af4510088cb3863","target":"record","created_at":"2026-05-18T02:11:58Z","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":"2cd0a41eeca5f1204610898e64926e74fb97d4ea2681a0f864fce3f58db00317","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-09-07T21:14:34Z","title_canon_sha256":"7c387732570a85644e274234495084085f4ad0cfdc552ba4a9f73a5be978484d"},"schema_version":"1.0","source":{"id":"0909.1344","kind":"arxiv","version":2}},"canonical_sha256":"f2c03cfa43e499a95d89105156a7d065ea501d08b89b820de8f08b01daefe95c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2c03cfa43e499a95d89105156a7d065ea501d08b89b820de8f08b01daefe95c","first_computed_at":"2026-05-18T02:11:58.771918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:58.771918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X+6eHTdmRVMgnNCT+Ogrsni/0XaGvjYCUbrohwFYiUabr1TQmGb8RMSbE7KsfJQGUw+apHccRQtOu1RRfPfiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:58.772674Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1344","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed6bd77f20481e0648c2f1e0c606559c30914aae8144ba804af4510088cb3863","sha256:11e41240766e8f66b2b4778918dc90618058d22f60bae6376144d2a11e6b528d"],"state_sha256":"ee014bdc235ea5d3c1b29cccf0ead1b378ce4904e5c88dc90eec14e5d4c11936"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IS+rGMliL0PcDmoUkIlJ9fl4c0cp3tfUE7nmL0AlaT16o5ra9upgVfSOrrkRVw64e7nD4hxigRqVIpunm7sAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T05:13:24.859995Z","bundle_sha256":"7aca661f6c6ac306b98fa7afc5fac64590aebdc29f0d363ff0d213315c34fa1a"}}