{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JSBMGCOEQPBDE6WBFN55JZILYI","short_pith_number":"pith:JSBMGCOE","canonical_record":{"source":{"id":"1503.06358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-21T22:14:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2fa22a912b021329799de558cea39c5e5b06aa2af81ba52013902f8749969c1e","abstract_canon_sha256":"0e52d811f91b45eddf014f45205510ced86bee640344f35c92f4d24c6c1db0c1"},"schema_version":"1.0"},"canonical_sha256":"4c82c309c483c2327ac12b7bd4e50bc22ccf04b8657899602892f8dae05eab9f","source":{"kind":"arxiv","id":"1503.06358","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06358","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06358v1","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06358","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"JSBMGCOEQPBD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JSBMGCOEQPBDE6WB","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JSBMGCOE","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JSBMGCOEQPBDE6WBFN55JZILYI","target":"record","payload":{"canonical_record":{"source":{"id":"1503.06358","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-21T22:14:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2fa22a912b021329799de558cea39c5e5b06aa2af81ba52013902f8749969c1e","abstract_canon_sha256":"0e52d811f91b45eddf014f45205510ced86bee640344f35c92f4d24c6c1db0c1"},"schema_version":"1.0"},"canonical_sha256":"4c82c309c483c2327ac12b7bd4e50bc22ccf04b8657899602892f8dae05eab9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:46.954805Z","signature_b64":"FpPCROZUWwqLOr8CZt9DhO8UiT/zouVFuzgFye2bs9WIgUhvC01ouyMrFLtWfEyLH2XgRMYHQbtjBJU6duFFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c82c309c483c2327ac12b7bd4e50bc22ccf04b8657899602892f8dae05eab9f","last_reissued_at":"2026-05-18T01:15:46.954132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:46.954132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.06358","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":"2026-05-18T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2vv/t+E2IJUQMqhAzciU1TY/XsZ30lPamXLGLPojmSeoA6YebydnRySJopwgRNxiIpRERk7ku7z0FtelHW/nDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:52:32.068297Z"},"content_sha256":"adc4cdd57883f3a9482b916a316ea55870826bd8f2b2812222b0158eb1a95003","schema_version":"1.0","event_id":"sha256:adc4cdd57883f3a9482b916a316ea55870826bd8f2b2812222b0158eb1a95003"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JSBMGCOEQPBDE6WBFN55JZILYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Interference Alignment --- Part I: Theoretical Framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Liangzhong Ruan, Moe Z. Win, Vincent K.N. Lau","submitted_at":"2015-03-21T22:14:00Z","abstract_excerpt":"Interference alignment (IA) has attracted enormous research interest as it achieves optimal capacity scaling with respect to signal to noise ratio on interference networks. IA has also recently emerged as an effective tool in engineering interference for secrecy protection on wireless wiretap networks. However, despite the numerous works dedicated to IA, two of its fundamental issues, i.e., feasibility conditions and transceiver design, are not completely addressed in the literature. In this two part paper, a generalised interference alignment (GIA) technique is proposed to enhance the IA's ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06358","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":"2026-05-18T01:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DIb4Z+ixLq9kngiE+3pclURNHfVn2NY7+groBMbOTSvvQt0oisObfn+rrSMoChy8hzi0OWQKefO425yCLL1ACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:52:32.068993Z"},"content_sha256":"28a2e784b5768b74eaf7a218b22f299b9cb4dc8c16a33fdd2c08fc1699890fec","schema_version":"1.0","event_id":"sha256:28a2e784b5768b74eaf7a218b22f299b9cb4dc8c16a33fdd2c08fc1699890fec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSBMGCOEQPBDE6WBFN55JZILYI/bundle.json","state_url":"https://pith.science/pith/JSBMGCOEQPBDE6WBFN55JZILYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSBMGCOEQPBDE6WBFN55JZILYI/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":"2026-05-31T17:52:32Z","links":{"resolver":"https://pith.science/pith/JSBMGCOEQPBDE6WBFN55JZILYI","bundle":"https://pith.science/pith/JSBMGCOEQPBDE6WBFN55JZILYI/bundle.json","state":"https://pith.science/pith/JSBMGCOEQPBDE6WBFN55JZILYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSBMGCOEQPBDE6WBFN55JZILYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JSBMGCOEQPBDE6WBFN55JZILYI","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":"0e52d811f91b45eddf014f45205510ced86bee640344f35c92f4d24c6c1db0c1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-21T22:14:00Z","title_canon_sha256":"2fa22a912b021329799de558cea39c5e5b06aa2af81ba52013902f8749969c1e"},"schema_version":"1.0","source":{"id":"1503.06358","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06358","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06358v1","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06358","created_at":"2026-05-18T01:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"JSBMGCOEQPBD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JSBMGCOEQPBDE6WB","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JSBMGCOE","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:28a2e784b5768b74eaf7a218b22f299b9cb4dc8c16a33fdd2c08fc1699890fec","target":"graph","created_at":"2026-05-18T01:15:46Z","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":"Interference alignment (IA) has attracted enormous research interest as it achieves optimal capacity scaling with respect to signal to noise ratio on interference networks. IA has also recently emerged as an effective tool in engineering interference for secrecy protection on wireless wiretap networks. However, despite the numerous works dedicated to IA, two of its fundamental issues, i.e., feasibility conditions and transceiver design, are not completely addressed in the literature. In this two part paper, a generalised interference alignment (GIA) technique is proposed to enhance the IA's ca","authors_text":"Liangzhong Ruan, Moe Z. Win, Vincent K.N. Lau","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-21T22:14:00Z","title":"Generalized Interference Alignment --- Part I: Theoretical Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06358","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:adc4cdd57883f3a9482b916a316ea55870826bd8f2b2812222b0158eb1a95003","target":"record","created_at":"2026-05-18T01:15:46Z","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":"0e52d811f91b45eddf014f45205510ced86bee640344f35c92f4d24c6c1db0c1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-21T22:14:00Z","title_canon_sha256":"2fa22a912b021329799de558cea39c5e5b06aa2af81ba52013902f8749969c1e"},"schema_version":"1.0","source":{"id":"1503.06358","kind":"arxiv","version":1}},"canonical_sha256":"4c82c309c483c2327ac12b7bd4e50bc22ccf04b8657899602892f8dae05eab9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c82c309c483c2327ac12b7bd4e50bc22ccf04b8657899602892f8dae05eab9f","first_computed_at":"2026-05-18T01:15:46.954132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:46.954132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FpPCROZUWwqLOr8CZt9DhO8UiT/zouVFuzgFye2bs9WIgUhvC01ouyMrFLtWfEyLH2XgRMYHQbtjBJU6duFFAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:46.954805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06358","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adc4cdd57883f3a9482b916a316ea55870826bd8f2b2812222b0158eb1a95003","sha256:28a2e784b5768b74eaf7a218b22f299b9cb4dc8c16a33fdd2c08fc1699890fec"],"state_sha256":"668b871778b568ed830a6f30cb618285ac9ca195bd87c0cc382c34fdea35652b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVyUc1sPGE0Y0LGX8Gxe3oXcEG7k0p1rnqcEqL9g6AjGyw8y06t4NQi0xqoKXTS0o+cZBG6laZvzCEd8zXfGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:52:32.072666Z","bundle_sha256":"4567110479676ba464d3d7df5b82d58c229ff96e68c9aa339697349d24aa675c"}}