{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TH72PKJDSR2UTDHG7EUR7JJ5YT","short_pith_number":"pith:TH72PKJD","canonical_record":{"source":{"id":"1306.0626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-06-04T00:38:17Z","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"title_canon_sha256":"1dfbb9770ca0323ee46636291423922661f80867b2da56993bf9723334cfd906","abstract_canon_sha256":"cda067a98dd346704bd9b11816a387a64a476bd9751c0585e3fc10f16414f132"},"schema_version":"1.0"},"canonical_sha256":"99ffa7a9239475498ce6f9291fa53dc4d7a1907c4aa18cb5595e53bf26a3e075","source":{"kind":"arxiv","id":"1306.0626","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0626","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0626v1","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0626","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"TH72PKJDSR2U","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TH72PKJDSR2UTDHG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TH72PKJD","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TH72PKJDSR2UTDHG7EUR7JJ5YT","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-06-04T00:38:17Z","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"title_canon_sha256":"1dfbb9770ca0323ee46636291423922661f80867b2da56993bf9723334cfd906","abstract_canon_sha256":"cda067a98dd346704bd9b11816a387a64a476bd9751c0585e3fc10f16414f132"},"schema_version":"1.0"},"canonical_sha256":"99ffa7a9239475498ce6f9291fa53dc4d7a1907c4aa18cb5595e53bf26a3e075","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:54.518480Z","signature_b64":"qEZ/mYXEmiP29YsATgI6zdySqpmNIXR8zz+Ph+hbPI7V/NuuW1Q1q9q2Cg9xD1LbnspHkTtBRkFKpp8jxeGNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99ffa7a9239475498ce6f9291fa53dc4d7a1907c4aa18cb5595e53bf26a3e075","last_reissued_at":"2026-05-18T03:21:54.518026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:54.518026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0626","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":"2026-05-18T03:21:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+MsaSTGdJzwT4qSg1ax0V/aMC6Ch2Ira1bT33DVx6Y5G9Gd5xbXhLptmQG2lhXSNbMRbvJn08wl0hy9x8yoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:22:46.682479Z"},"content_sha256":"a419a766108f93474abba8ba8e83e7f241203e0b71d6558d8e35ed7e6e25bdc8","schema_version":"1.0","event_id":"sha256:a419a766108f93474abba8ba8e83e7f241203e0b71d6558d8e35ed7e6e25bdc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TH72PKJDSR2UTDHG7EUR7JJ5YT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Provable Inductive Matrix Completion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","stat.ML"],"primary_cat":"cs.LG","authors_text":"Inderjit S. Dhillon, Prateek Jain","submitted_at":"2013-06-04T00:38:17Z","abstract_excerpt":"Consider a movie recommendation system where apart from the ratings information, side information such as user's age or movie's genre is also available. Unlike standard matrix completion, in this setting one should be able to predict inductively on new users/movies. In this paper, we study the problem of inductive matrix completion in the exact recovery setting. That is, we assume that the ratings matrix is generated by applying feature vectors to a low-rank matrix and the goal is to recover back the underlying matrix. Furthermore, we generalize the problem to that of low-rank matrix estimatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0626","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":"2026-05-18T03:21:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EGr5sqfP4oZN4Q8hHx4+qHQpXMNzMPEKV//n9+KBTHdSZ6fYLiyoRuZc5+DDrGut/XpX9d3wVzKpK+48ZmNKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:22:46.682831Z"},"content_sha256":"f61f5b6e976cb8b774caab6d73643dee74a6fcd46cb2d3cf74be457f58192501","schema_version":"1.0","event_id":"sha256:f61f5b6e976cb8b774caab6d73643dee74a6fcd46cb2d3cf74be457f58192501"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/bundle.json","state_url":"https://pith.science/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/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":"2026-06-02T00:22:46Z","links":{"resolver":"https://pith.science/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT","bundle":"https://pith.science/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/bundle.json","state":"https://pith.science/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TH72PKJDSR2UTDHG7EUR7JJ5YT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TH72PKJDSR2UTDHG7EUR7JJ5YT","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":"cda067a98dd346704bd9b11816a387a64a476bd9751c0585e3fc10f16414f132","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-06-04T00:38:17Z","title_canon_sha256":"1dfbb9770ca0323ee46636291423922661f80867b2da56993bf9723334cfd906"},"schema_version":"1.0","source":{"id":"1306.0626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0626","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0626v1","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0626","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"TH72PKJDSR2U","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TH72PKJDSR2UTDHG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TH72PKJD","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:f61f5b6e976cb8b774caab6d73643dee74a6fcd46cb2d3cf74be457f58192501","target":"graph","created_at":"2026-05-18T03:21:54Z","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":"Consider a movie recommendation system where apart from the ratings information, side information such as user's age or movie's genre is also available. Unlike standard matrix completion, in this setting one should be able to predict inductively on new users/movies. In this paper, we study the problem of inductive matrix completion in the exact recovery setting. That is, we assume that the ratings matrix is generated by applying feature vectors to a low-rank matrix and the goal is to recover back the underlying matrix. Furthermore, we generalize the problem to that of low-rank matrix estimatio","authors_text":"Inderjit S. Dhillon, Prateek Jain","cross_cats":["cs.IT","math.IT","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-06-04T00:38:17Z","title":"Provable Inductive Matrix Completion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0626","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:a419a766108f93474abba8ba8e83e7f241203e0b71d6558d8e35ed7e6e25bdc8","target":"record","created_at":"2026-05-18T03:21:54Z","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":"cda067a98dd346704bd9b11816a387a64a476bd9751c0585e3fc10f16414f132","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-06-04T00:38:17Z","title_canon_sha256":"1dfbb9770ca0323ee46636291423922661f80867b2da56993bf9723334cfd906"},"schema_version":"1.0","source":{"id":"1306.0626","kind":"arxiv","version":1}},"canonical_sha256":"99ffa7a9239475498ce6f9291fa53dc4d7a1907c4aa18cb5595e53bf26a3e075","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99ffa7a9239475498ce6f9291fa53dc4d7a1907c4aa18cb5595e53bf26a3e075","first_computed_at":"2026-05-18T03:21:54.518026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:54.518026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qEZ/mYXEmiP29YsATgI6zdySqpmNIXR8zz+Ph+hbPI7V/NuuW1Q1q9q2Cg9xD1LbnspHkTtBRkFKpp8jxeGNBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:54.518480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a419a766108f93474abba8ba8e83e7f241203e0b71d6558d8e35ed7e6e25bdc8","sha256:f61f5b6e976cb8b774caab6d73643dee74a6fcd46cb2d3cf74be457f58192501"],"state_sha256":"bbfaa6f0db62f3fbfbb2cd969bcef28554a11adae5c3c579f36ba589b0a189a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QAVA05jJ//4gZeLK1Ej5nQUtPv+BhbqlEge78x4M0CKTI/htLB56owE4iP3NQe+lmW2ab9ajzPI+9xGwtB2ECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:22:46.684843Z","bundle_sha256":"df85a4ea81ad256b47318b3bee69d513c3acc0f9f07cd99aeaea7497856f6ef0"}}