{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZA7MEDCKMMQJADTILVLKGEQNBT","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":"18cc485d8aa2ffb4e97ddf10cbe3419312a8d2e191af326371e570f6daaaeadd","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T17:31:40Z","title_canon_sha256":"6ceff80ea17f7c50c4120f4b5ec019ed8d9541613d49deb44e75a21370adc66a"},"schema_version":"1.0","source":{"id":"1905.09791","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09791","created_at":"2026-07-05T00:15:04Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09791v3","created_at":"2026-07-05T00:15:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09791","created_at":"2026-07-05T00:15:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZA7MEDCKMMQJ","created_at":"2026-07-05T00:15:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZA7MEDCKMMQJADTI","created_at":"2026-07-05T00:15:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZA7MEDCK","created_at":"2026-07-05T00:15:04Z"}],"graph_snapshots":[{"event_id":"sha256:e6480845e5e985be5225a27d8475107bb6847f84208f0846bc91070906e8f832","target":"graph","created_at":"2026-07-05T00:15:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1905.09791/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hyperbolic embeddings have recently gained attention in machine learning due to their ability to represent hierarchical data more accurately and succinctly than their Euclidean analogues. However, multi-relational knowledge graphs often exhibit multiple simultaneous hierarchies, which current hyperbolic models do not capture. To address this, we propose a model that embeds multi-relational graph data in the Poincar\\'e ball model of hyperbolic space. Our Multi-Relational Poincar\\'e model (MuRP) learns relation-specific parameters to transform entity embeddings by M\\\"obius matrix-vector multipli","authors_text":"Carl Allen, Ivana Bala\\v{z}evi\\'c, Timothy Hospedales","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T17:31:40Z","title":"Multi-relational Poincar\\'e Graph Embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09791","kind":"arxiv","version":3},"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":"sha256:262a50f1b079889ea49bb4b248458da786d4801e369ade96e4a78eb2d1302afa","target":"record","created_at":"2026-07-05T00:15:04Z","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":"18cc485d8aa2ffb4e97ddf10cbe3419312a8d2e191af326371e570f6daaaeadd","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T17:31:40Z","title_canon_sha256":"6ceff80ea17f7c50c4120f4b5ec019ed8d9541613d49deb44e75a21370adc66a"},"schema_version":"1.0","source":{"id":"1905.09791","kind":"arxiv","version":3}},"canonical_sha256":"c83ec20c4a6320900e685d56a3120d0cc257bf3f4200db836dc9c2974e90dc59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c83ec20c4a6320900e685d56a3120d0cc257bf3f4200db836dc9c2974e90dc59","first_computed_at":"2026-07-05T00:15:04.935793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:15:04.935793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K9ssdRxtKtwy4zApDtA/FkQlsBGSIKEBcbB0vk3vd8n44IDR8d9WMdWu0AzM7k8jU3W5vZCLRPUGCtnV50G2Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T00:15:04.936297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.09791","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:262a50f1b079889ea49bb4b248458da786d4801e369ade96e4a78eb2d1302afa","sha256:e6480845e5e985be5225a27d8475107bb6847f84208f0846bc91070906e8f832"],"state_sha256":"c5ba3fc1747b4bb6a384c81fc04d63e4d1faeff3fb7f1bc2689e16915fd9cd1e"}