{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FZNL3QDWVOUMWRXB3ATT2TQR5D","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":"7da4f2ed7de6c544b2482834803e495be75a13d6d386f01bda352ce44621c75e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-05-13T14:36:59Z","title_canon_sha256":"6a65873e5e79321bf1eb0e3d5a4a0c1b0c635b5f9419c30b5a55ba072a5af096"},"schema_version":"1.0","source":{"id":"1405.3167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3167","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3167v1","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3167","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"FZNL3QDWVOUM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FZNL3QDWVOUMWRXB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FZNL3QDW","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:0ed8c3457fd2aeb244234562ae1c6097d5383417c383428abe85bb76b154a870","target":"graph","created_at":"2026-05-18T02:51:57Z","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":"We study the convex relaxation of clustering and hamming embedding, focusing on the asymmetric case (co-clustering and asymmetric hamming embedding), understanding their relationship to LSH as studied by (Charikar 2002) and to the max-norm ball, and the differences between their symmetric and asymmetric versions.","authors_text":"Behnam Neyshabur, Nathan Srebro, Yury Makarychev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-05-13T14:36:59Z","title":"Clustering, Hamming Embedding, Generalized LSH and the Max Norm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3167","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:ed5db96812b776546b5fbe1f5a966771011dc9145371d03fd3c01215fe2a5bd3","target":"record","created_at":"2026-05-18T02:51:57Z","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":"7da4f2ed7de6c544b2482834803e495be75a13d6d386f01bda352ce44621c75e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-05-13T14:36:59Z","title_canon_sha256":"6a65873e5e79321bf1eb0e3d5a4a0c1b0c635b5f9419c30b5a55ba072a5af096"},"schema_version":"1.0","source":{"id":"1405.3167","kind":"arxiv","version":1}},"canonical_sha256":"2e5abdc076aba8cb46e1d8273d4e11e8cf11b91b7496265c6a6dff9e01e6a28e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e5abdc076aba8cb46e1d8273d4e11e8cf11b91b7496265c6a6dff9e01e6a28e","first_computed_at":"2026-05-18T02:51:57.632905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:57.632905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s62POXbDtp+WltgOiYRS2YDQTrwfIMOOyRQkbRGgtKyvnbAeKePIk8VneZu68AoKQcOT329sBQ05TtKidWpAAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:57.633494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed5db96812b776546b5fbe1f5a966771011dc9145371d03fd3c01215fe2a5bd3","sha256:0ed8c3457fd2aeb244234562ae1c6097d5383417c383428abe85bb76b154a870"],"state_sha256":"79aee0a75287800f27d1fac469343639999c06cb402b00f5bfa4bf3fcb775c21"}