{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4KNNUSDDLI623FFRCV534OQGNI","short_pith_number":"pith:4KNNUSDD","canonical_record":{"source":{"id":"1502.07123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-25T10:59:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"385b92c2115c1841986d54884d4430dbe1a7ceff1695ac607347fb187345c1fc","abstract_canon_sha256":"e90f015090f65ae6bbae6daabf1769b0b76580c4e5329811ba8d7e368fde3fe7"},"schema_version":"1.0"},"canonical_sha256":"e29ada48635a3dad94b1157bbe3a066a1696f440547cf66d3d045e32a67dd79d","source":{"kind":"arxiv","id":"1502.07123","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07123","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07123v1","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07123","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"4KNNUSDDLI62","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4KNNUSDDLI623FFR","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4KNNUSDD","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4KNNUSDDLI623FFRCV534OQGNI","target":"record","payload":{"canonical_record":{"source":{"id":"1502.07123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-25T10:59:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"385b92c2115c1841986d54884d4430dbe1a7ceff1695ac607347fb187345c1fc","abstract_canon_sha256":"e90f015090f65ae6bbae6daabf1769b0b76580c4e5329811ba8d7e368fde3fe7"},"schema_version":"1.0"},"canonical_sha256":"e29ada48635a3dad94b1157bbe3a066a1696f440547cf66d3d045e32a67dd79d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:11.797174Z","signature_b64":"zSGEmiVPeSwrsL2DkeWQSUeincvIpqllLY/0KYqpud2cPxM666nctHbO5fEl5wxG9Jf/A4jTawdLMFnmGyhgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e29ada48635a3dad94b1157bbe3a066a1696f440547cf66d3d045e32a67dd79d","last_reissued_at":"2026-05-18T02:26:11.796571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:11.796571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.07123","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":"2026-05-18T02:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYU0QY4owqZ9FVywFrtgmMyC3JZN35vxwk50KkZ0SMsvsTdRQRvNvQWQz9NBkDD15jvbgPNePxAJgSnYOyyhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:37:06.588141Z"},"content_sha256":"6ce221a489ab275633c3333134be862dfba3129f57f3a268bfc278e164d0581d","schema_version":"1.0","event_id":"sha256:6ce221a489ab275633c3333134be862dfba3129f57f3a268bfc278e164d0581d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4KNNUSDDLI623FFRCV534OQGNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degrees-of-Freedom of the K-User MISO Interference Channel with Delayed Local CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bruno Clerckx, Chenxi Hao","submitted_at":"2015-02-25T10:59:00Z","abstract_excerpt":"This paper considers a K-user Multiple-Input-Single-Output (MISO) Interference Channel (IC), where the channel state information obtained by the transmitters (CSIT) is perfect, but completely outdated. A Retrospective Interference Alignment (RIA) using such delayed CSIT was proposed by the authors of [1] for the MISO Broadcast Channel (BC), but the extension to the MISO IC is a non-trivial step as each transmitter only has the message intended for the corresponding user. Recently, [7] focused on a Single-Input-Single-Output (SISO) IC and solved such bottleneck by inventing a distributed higher"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07123","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":"2026-05-18T02:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxnvJrwYLCgGRRXIFN/9w3FuQfN2C0qTkNIE7ATUE5WRiBRzrze6yq76N8SrmkjN4DVNqfDO3p/Glq5qDnXCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:37:06.588614Z"},"content_sha256":"b44504c5f02f5579e461885b3b9e25ea5116a96381e10d3009cef20ce753d167","schema_version":"1.0","event_id":"sha256:b44504c5f02f5579e461885b3b9e25ea5116a96381e10d3009cef20ce753d167"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KNNUSDDLI623FFRCV534OQGNI/bundle.json","state_url":"https://pith.science/pith/4KNNUSDDLI623FFRCV534OQGNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KNNUSDDLI623FFRCV534OQGNI/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":"2026-06-25T21:37:06Z","links":{"resolver":"https://pith.science/pith/4KNNUSDDLI623FFRCV534OQGNI","bundle":"https://pith.science/pith/4KNNUSDDLI623FFRCV534OQGNI/bundle.json","state":"https://pith.science/pith/4KNNUSDDLI623FFRCV534OQGNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KNNUSDDLI623FFRCV534OQGNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4KNNUSDDLI623FFRCV534OQGNI","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":"e90f015090f65ae6bbae6daabf1769b0b76580c4e5329811ba8d7e368fde3fe7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-25T10:59:00Z","title_canon_sha256":"385b92c2115c1841986d54884d4430dbe1a7ceff1695ac607347fb187345c1fc"},"schema_version":"1.0","source":{"id":"1502.07123","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07123","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07123v1","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07123","created_at":"2026-05-18T02:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"4KNNUSDDLI62","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4KNNUSDDLI623FFR","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4KNNUSDD","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:b44504c5f02f5579e461885b3b9e25ea5116a96381e10d3009cef20ce753d167","target":"graph","created_at":"2026-05-18T02:26:11Z","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 considers a K-user Multiple-Input-Single-Output (MISO) Interference Channel (IC), where the channel state information obtained by the transmitters (CSIT) is perfect, but completely outdated. A Retrospective Interference Alignment (RIA) using such delayed CSIT was proposed by the authors of [1] for the MISO Broadcast Channel (BC), but the extension to the MISO IC is a non-trivial step as each transmitter only has the message intended for the corresponding user. Recently, [7] focused on a Single-Input-Single-Output (SISO) IC and solved such bottleneck by inventing a distributed higher","authors_text":"Bruno Clerckx, Chenxi Hao","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-25T10:59:00Z","title":"Degrees-of-Freedom of the K-User MISO Interference Channel with Delayed Local CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07123","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":"sha256:6ce221a489ab275633c3333134be862dfba3129f57f3a268bfc278e164d0581d","target":"record","created_at":"2026-05-18T02:26:11Z","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":"e90f015090f65ae6bbae6daabf1769b0b76580c4e5329811ba8d7e368fde3fe7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-02-25T10:59:00Z","title_canon_sha256":"385b92c2115c1841986d54884d4430dbe1a7ceff1695ac607347fb187345c1fc"},"schema_version":"1.0","source":{"id":"1502.07123","kind":"arxiv","version":1}},"canonical_sha256":"e29ada48635a3dad94b1157bbe3a066a1696f440547cf66d3d045e32a67dd79d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e29ada48635a3dad94b1157bbe3a066a1696f440547cf66d3d045e32a67dd79d","first_computed_at":"2026-05-18T02:26:11.796571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:11.796571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSGEmiVPeSwrsL2DkeWQSUeincvIpqllLY/0KYqpud2cPxM666nctHbO5fEl5wxG9Jf/A4jTawdLMFnmGyhgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:11.797174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07123","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ce221a489ab275633c3333134be862dfba3129f57f3a268bfc278e164d0581d","sha256:b44504c5f02f5579e461885b3b9e25ea5116a96381e10d3009cef20ce753d167"],"state_sha256":"7577d0c13d582f8ed508c2e868040544bcb3f77caf231aa2e51d2cbb9f4c4e8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GwMRLzq5qtblQKtHobkczxEoflyoZ3p95PHtuEU9J/pKo6dSZC9tj3VNvF/io+4jsfXkGERGrQQMlh8dnF1DAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:37:06.591149Z","bundle_sha256":"9e1fbee2a195960099cc60246e60ba76b4e3c42d8165a4579fd647adc050772b"}}